diff --git a/.coverage b/.coverage new file mode 100644 index 00000000..ba008691 Binary files /dev/null and b/.coverage differ diff --git a/.gitignore b/.gitignore index 3acea11b..64ba6620 100644 --- a/.gitignore +++ b/.gitignore @@ -1,3 +1,11 @@ *.pyc *-checkpoint.ipynb -mypyreports/ \ No newline at end of file +mypyreports/ +build/ +dist/ +systole.egg-info/ +htmlcov/ +.coverage +.vscode/ +source/auto_examples +source/generated \ No newline at end of file diff --git a/.pre-commit-config.yaml b/.pre-commit-config.yaml index ae1f42e7..4656f280 100644 --- a/.pre-commit-config.yaml +++ b/.pre-commit-config.yaml @@ -1,11 +1,11 @@ repos: - repo: https://github.com/pre-commit/mirrors-isort - rev: v4.3.21 + rev: v5.9.3 hooks: - id: isort files: ^systole/ - repo: https://github.com/ambv/black - rev: stable + rev: 21.9b0 hooks: - id: black language_version: python3 @@ -16,7 +16,7 @@ repos: - id: flake8 files: ^systole/ - repo: https://github.com/pre-commit/mirrors-mypy - rev: '' # Use the sha / tag you want to point at + rev: 'v0.910' # Use the sha / tag you want to point at hooks: - id: mypy files: ^systole/ diff --git a/Images/ECGLogo2.jpg b/Images/ECGLogo2.jpg deleted file mode 100644 index 9ad03b94..00000000 Binary files a/Images/ECGLogo2.jpg and /dev/null differ diff --git a/Images/au_clinisk_logo.png b/Images/au_clinisk_logo.png deleted file mode 100644 index cec7d2e4..00000000 Binary files a/Images/au_clinisk_logo.png and /dev/null differ diff --git a/Images/logo.png b/Images/logo.png deleted file mode 100644 index da0b0492..00000000 Binary files a/Images/logo.png and /dev/null differ diff --git a/Images/logo2.png b/Images/logo2.png deleted file mode 100644 index 009bce26..00000000 Binary files a/Images/logo2.png and /dev/null differ diff --git a/Images/logo2.svg b/Images/logo2.svg deleted file mode 100644 index ecdd2385..00000000 --- a/Images/logo2.svg +++ /dev/null @@ -1,112 +0,0 @@ - - - - - - - - - - - - image/svg+xml - - - - - - - - - - - - - - - - diff --git a/Images/lundbeckfonden_logo.png b/Images/lundbeckfonden_logo.png deleted file mode 100644 index 49fca452..00000000 Binary files a/Images/lundbeckfonden_logo.png and /dev/null differ diff --git a/Images/polar_densities.png b/Images/polar_densities.png deleted file mode 100644 index c77658d8..00000000 Binary files a/Images/polar_densities.png and /dev/null differ diff --git a/Images/psd.png b/Images/psd.png deleted file mode 100644 index 69c6b44c..00000000 Binary files a/Images/psd.png and /dev/null differ diff --git a/Images/subspaces.png b/Images/subspaces.png deleted file mode 100644 index 63056d4b..00000000 Binary files a/Images/subspaces.png and /dev/null differ diff --git a/Images/systole.gif b/Images/systole.gif deleted file mode 100644 index 9e3eb8b8..00000000 Binary files a/Images/systole.gif and /dev/null differ diff --git a/README.rst b/README.rst index e84b85bd..208fd15d 100644 --- a/README.rst +++ b/README.rst @@ -33,14 +33,17 @@ ================ -**Systole** is an open-source Python package providing simple tools to record and analyze, cardiac signals for psychophysiology. -In particular, the package provides tools to pre-process, analyze, and synchronize cardiac data from psychophysiology research. -This includes tools for data epoching, heart-rate variability, and synchronizing stimulus presentation with different cardiac phases via psychopy. +**Systole** is an open-source Python package implementing simple tools for working with cardiac signals for +psychophysiology research. In particular, the package provides tools to pre-process, visualize, and analyze cardiac data. +This includes tools for data epoching, artefact detection, artefact correction, evoked heart-rate analyses, heart-rate +variability analyses, circular statistical approaches to analysing cardiac cycles, and synchronising stimulus +presentation with different cardiac phases via the psychopy. + The documentation can be found under the following `link `_. Installation -============ +++++++++++++ Systole can be installed using pip: @@ -53,91 +56,128 @@ The following packages are required to use Systole: * `Numpy `_ (>=1.15) * `SciPy `_ (>=1.3.0) * `Pandas `_ (>=0.24) -* `Matplotlib `_ (>=3.0.2) +* `Numba `_ (>=0.51.2) * `Seaborn `_ (>=0.9.0) -* `py-ecg-detectors `_ (>=1.0.2) -Interactive plotting functions and reports generation will also require the following packages to be installed: +Required when using `Matplotlib` plotting backend: +* `Matplotlib `_ (>=3.0.2) +Required when using `Bokeh` plotting backend: +* `Bokeh `_ (>=2.3.3) -* `Plotly `_ (>=4.8.0) -Tutorial -======== +Tutorials +========= -For an overview of all the recording functionalities, you can refer to the following examples: +For an introduction to Systole and cardiac signal analysis, you can refer to the following tutorial: -* Recording -* Artefacts detection and artefacts correction -* Heart rate variability +1. Cardiac signal analysis - |Colab badge 1| +2. Detecting cardiac cycles - |Colab badge 2| +3. Detecting and correcting artefats - |Colab badge 3| +4. Heart rate variability - |Colab badge 4| +5. Instantaneous and evoked heart rate - |Colab badge 5| -For an introduction to Systole and cardiac signal analysis, you can refer to the following tutorial: +.. |Colab badge 1| image:: https://colab.research.google.com/assets/colab-badge.svg + :target: https://colab.research.google.com/github/embodied-computation-group/systole/blob/dev/source/notebooks/1-PhysiologicalSignals.ipynb -* Introduction to cardiac signal analysis - |Colab badge| - `Jupyter Book `_ +.. |Colab badge 2| image:: https://colab.research.google.com/assets/colab-badge.svg + :target: https://colab.research.google.com/github/embodied-computation-group/systole/blob/dev/source/notebooks/2-DetectingCycles.ipynb -.. |Colab badge| image:: https://colab.research.google.com/assets/colab-badge.svg - :target: https://colab.research.google.com/github/LegrandNico/Notebooks/blob/main/IntroductionCardiacSignalAnalysis.ipynb +.. |Colab badge 3| image:: https://colab.research.google.com/assets/colab-badge.svg + :target: https://colab.research.google.com/github/embodied-computation-group/systole/blob/dev/source/notebooks/3-DetectingAndCorrectingArtefacts.ipynb -Recording -========= +.. |Colab badge 4| image:: https://colab.research.google.com/assets/colab-badge.svg + :target: https://colab.research.google.com/github/embodied-computation-group/systole/blob/dev/source/notebooks/4-HeartRateVariability.ipynb -Systole natively supports recording of physiological signals from the following setups: -* `Nonin 3012LP Xpod USB pulse oximeter `_ together with the `Nonin 8000SM 'soft-clip' fingertip sensors `_ (USB). -* Remote Data Access (RDA) via BrainVision Recorder together with `Brain product ExG amplifier `_ (Ethernet). +.. |Colab badge 5| image:: https://colab.research.google.com/assets/colab-badge.svg + :target: https://colab.research.google.com/github/embodied-computation-group/systole/blob/dev/source/notebooks/5-InstantaneousHeartRate.ipynb -Artefact correction -=================== -Systole implements systolic peak detection inspired by van Gent et al. (2019) [#]_ and the artefact rejection method recently proposed by Lipponen & Tarvainen (2019) [#]_. +Getting started ++++++++++++++++ .. code-block:: python - from systole import simulate_rr - from systole.plotting import plot_subspaces + from systole import import_dataset1 - rr = simulate_rr() - plot_subspaces(rr) + # Import ECg recording + signal = import_dataset1(modalities=['ECG']).ecg.to_numpy() -.. figure:: https://github.com/embodied-computation-group/systole/raw/master/Images/subspaces.png - :align: center -Interactive visualization -========================= +Signal extraction and interactive plotting +========================================== +The package integrates a set of functions for interactive or non interactive data visualization based on `Matplotlib `_ and `Bokeh `_. + +.. code-block:: python + + from systole.plots plot_raw -Systole integrates a set of functions for interactive data visualization based on `Plotly `_. + plot_raw(signal[60000 : 120000], modality="ecg", backend="bokeh", + show_heart_rate=True, show_artefacts=True, figsize=300) -.. figure:: https://github.com/embodied-computation-group/systole/raw/master/Images/systole.gif +.. figure:: https://github.com/embodied-computation-group/systole/blob/dev/source/images/raw.png :align: center -Heartrate variability -====================== -Systole supports basic time-domain, frequency-domain and non-linear extraction indices. +Artefacts detection and rejection +================================= +Artefacts can be detected and corrected in the RR interval time series or the peaks vector using the method proposed by Lipponen & Tarvainen (2019). + +.. code-block:: python + + from systole.detection import ecg_peaks + from systole.plots plot_subspaces + + # R peaks detection + signal, peaks = ecg_peaks(signal, method='pan-tompkins', sfreq=1000) -All time-domain and non-linear indices have been tested against Kubios HVR 2.2 (). The frequency-domain indices can slightly differ. We recommend to always check your results against another software. + plot_subspaces(peaks, input_type="peaks", backend="bokeh") + +.. figure:: https://github.com/embodied-computation-group/systole/blob/dev/source/images/subspaces.png + :align: center + + +Heart rate variability analysis +=============================== +Systole implements time-domain, frequency-domain and non-linear HRV indices, as well as tools for evoked heart rate analysis. .. code-block:: python - from systole.plotting import plot_psd + from bokeh.layouts import row + from systole.plots plot_frequency, plot_pointcare - plot_psd(rr) + row( + plot_frequency(peaks, input_type="peaks", backend="bokeh", figsize=(300, 200)), + plot_pointcare(peaks, input_type="peaks", backend="bokeh", figsize=(200, 200)), + ) -.. figure:: https://github.com/embodied-computation-group/systole/raw/master/Images/psd.png +.. figure:: https://github.com/embodied-computation-group/systole/blob/dev/source/images/hrv.png :align: center + +Online systolic peak detection, cardiac-stimulus synchrony, and cardiac circular analysis +========================================================================================= + +The package natively supports recording of physiological signals from the following setups: +- `Nonin 3012LP Xpod USB pulse oximeter `_ together with the `Nonin 8000SM 'soft-clip' fingertip sensors `_ (USB). +- Remote Data Access (RDA) via BrainVision Recorder together with `Brain product ExG amplifier `_ (Ethernet). + + Development -=========== ++++++++++++ This module was created and is maintained by Nicolas Legrand and Micah Allen (ECG group, https://the-ecg.org/). If you want to contribute, feel free to contact one of the developers, open an issue or submit a pull request. This program is provided with NO WARRANTY OF ANY KIND. Contributors -============ +++++++++++++ - Jan C. Brammer (jan.c.brammer@gmail.com) +- Gidon Levakov (gidonlevakov@gmail.com) +- Peter Doggart (peter.doggart@pulseai.io) Acknowledgements -================ +++++++++++++++++ This software and the ECG are supported by a Lundbeckfonden Fellowship (R272-2017-4345), and the AIAS-COFUND II fellowship programme that is supported by the Marie Skłodowska-Curie actions under the European Union’s Horizon 2020 (Grant agreement no 754513), and the Aarhus University Research Foundation. @@ -153,13 +193,17 @@ Systole was largely inspired by pre-existing toolboxes dedicated to heartrate va * Pingouin: https://pingouin-stats.org/ -References -========== +* NeuroKit2: https://github.com/neuropsychology/NeuroKit + +================ -**Peak detection (PPG signal)** +|AU| |lundbeck| |lab| -.. [#] van Gent, P., Farah, H., van Nes, N., & van Arem, B. (2019). HeartPy: A novel heart rate algorithm for the analysis of noisy signals. *Transportation Research Part F: Traffic Psychology and Behaviour, 66, 368–378*. https://doi.org/10.1016/j.trf.2019.09.015 +.. |AU| image:: https://github.com/embodied-computation-group/systole/raw/dev/Images/au_clinisk_logo.png + :width: 100% -**Artefact detection and correction:** +.. |lundbeck| image:: https://github.com/embodied-computation-group/systole/raw/dev/Images/lundbeckfonden_logo.png + :width: 10% -.. [#] Lipponen, J. A., & Tarvainen, M. P. (2019). A robust algorithm for heart rate variability time series artefact correction using novel beat classification. *Journal of Medical Engineering & Technology, 43(3), 173–181*. https://doi.org/10.1080/03091902.2019.1640306 +.. |lab| image:: https://github.com/embodied-computation-group/systole/raw/dev/Images/LabLogo.png + :width: 20% \ No newline at end of file diff --git a/examples/Artefacts/README.txt b/examples/Artefacts/README.txt new file mode 100644 index 00000000..20ac1554 --- /dev/null +++ b/examples/Artefacts/README.txt @@ -0,0 +1,2 @@ +Artefacts ++++++++++ \ No newline at end of file diff --git a/source/auto_examples/plot_ArtefactsDetection.py b/examples/Artefacts/plot_ArtefactsDetection.py similarity index 96% rename from source/auto_examples/plot_ArtefactsDetection.py rename to examples/Artefacts/plot_ArtefactsDetection.py index 0f955bcd..0623c60c 100644 --- a/source/auto_examples/plot_ArtefactsDetection.py +++ b/examples/Artefacts/plot_ArtefactsDetection.py @@ -12,7 +12,7 @@ #%% from systole.detection import rr_artefacts -from systole.plotting import plot_subspaces +from systole.plots import plot_subspaces from systole.utils import simulate_rr #%% @@ -52,7 +52,7 @@ # panel plot subspaces that will be more sensitive to long or short beats, # comprizing the extra and missed beats. -plot_subspaces(rr) +plot_subspaces(rr, figsize=(12, 6)) #%% # References diff --git a/examples/Artefacts/plot_PeaksCorrection.py b/examples/Artefacts/plot_PeaksCorrection.py new file mode 100644 index 00000000..539934f5 --- /dev/null +++ b/examples/Artefacts/plot_PeaksCorrection.py @@ -0,0 +1,106 @@ +""" +Detecting and correcting artefacts in peaks vector +================================================== + +This example describes artefacts correction peaks vectors. + +The function `correct_rr()` automatically detect artefacts using the method proposed +by Lipponen & Tarvainen (2019) [#]_. At each iteration, extra and missed +peaks are corrected replacement or removal of peaks. The detection procedure is run +again using cleaned intervals. When using this method, the signal length stays constant, +which makes it more appropriate for event-related designs where the occurrence of +certain events must be controlled. + +""" + +# Author: Nicolas Legrand +# Licence: GPL v3 + +#%% +import numpy as np +import pandas as pd +from systole import import_dataset1 +from systole.detection import ecg_peaks +from systole.correction import correct_peaks +from systole.plots import plot_rr, plot_evoked +import matplotlib.pyplot as plt + +#%% Import ECG recording and events triggers +ecg_df = import_dataset1(modalities=['ECG', 'Stim']) + +#%% Detecting R peaks in the ECG signal using the Pan-Tompkins method +signal, peaks = ecg_peaks(ecg_df.ecg, method='pan-tompkins', sfreq=1000) + +#%% We can visualize this series using Systole's built in `plot_rr` function. Here we +# are using Matplotlib as plotting backend. +plot_rr(peaks, input_type='peaks', figsize=(13, 5)) +plt.show() + +#%% Creating artefacts +np.random.seed(123) # For result reproductibility + +corrupted_peaks = peaks.copy() # Create a new RR intervals vector + +# Randomly select 50 peaks in the peask vector and set it to 0 (missed peaks) +corrupted_peaks[np.random.choice(np.where(corrupted_peaks)[0], 50)] = 0 + +# Randomly add 50 intervals in the peaks vector (extra peaks) +corrupted_peaks[np.random.choice(len(corrupted_peaks), 50)] = 1 + +#%% Lets see if the artefact we created are correctly detected. Note that here, we are +# using `show_artefacts=True` so the artefacts detection runs automatically and shows +# in the plot. +plot_rr( + corrupted_peaks, input_type='peaks', + show_artefacts=True, line=False, figsize=(13, 5) + ) +plt.show() + +#%% The artefacts simulation is working fine. We can now apply the peaks +# correction method. This function will automatically detect possible artefacts in the +# peaks vector and reconstruct the most coherent values using time series interpolation. +# The number of iteration is set to `2` by default, we add it here for clarity. Here, +# the `correct_peaks` function only correct for extra and missed peaks. This feature is +# intentional and reflects the notion that only artefacts in R peaks detection should +# be corrected, but "true" intervals that are anomaly shorter or longer should not be +# corrected. +peaks_correction = correct_peaks(corrupted_peaks) + +#%% Plotting corrected peaks vector. +plot_rr(peaks_correction["clean_peaks"], input_type="peaks", + show_artefacts=True, line=False, figsize=(13, 5)) +plt.show() + +#%% As previously mentioned, this method is more appropriate in the context of +# event-related analysis, where the evolution of the instantaneous heart rate is +# assessed after some experimental manipulation (see Tutorial 5). One way to control +# for the quality of the artefacts correction is to compare the evoked responses +# measured under corrupted, corrected and baseline recording. Here, we will use the +# `plot_evoked` function, which simply take the indexes of events as input together +# with the recording (here the peaks vector), and produce the evoked plots. + +# Merge the two conditions together. +# The events of interest are all data points that are not 0. +triggers_idx = [np.where(ecg_df.stim.to_numpy() != 0)[0]] + +#%% Visualization of the correction quality +_, axs = plt.subplots(1, 3, figsize=(18, 6), sharey=True) +plot_evoked(rr=corrupted_peaks, triggers_idx=triggers_idx, ci=68, + input_type="peaks", decim=100, apply_baseline=(-1.0, 0.0), figsize=(8, 8), + labels="Uncorrected", palette=["#c44e52"], ax=axs[0]) +plot_evoked(rr=peaks_correction["clean_peaks"], triggers_idx=triggers_idx, ci=68, + input_type="peaks", decim=100, apply_baseline=(-1.0, 0.0), figsize=(8, 8), + labels="Corrected", ax=axs[1]) +plot_evoked(rr=peaks, triggers_idx=triggers_idx, ci=68, palette=["#55a868"], + input_type="peaks", decim=100, apply_baseline=(-1.0, 0.0), figsize=(8, 8), + labels="Initial recording", ax=axs[2]) +plt.ylim(-20, 20); + + +#%% +# References +# ---------- +# .. [#] Lipponen, J. A., & Tarvainen, M. P. (2019). A robust algorithm for +# heart rate variability time series artefact correction using novel +# beat classification. Journal of Medical Engineering & Technology, +# 43(3), 173–181. https://doi.org/10.1080/03091902.2019.1640306 diff --git a/examples/Artefacts/plot_RRCorrection.py b/examples/Artefacts/plot_RRCorrection.py new file mode 100644 index 00000000..2758af43 --- /dev/null +++ b/examples/Artefacts/plot_RRCorrection.py @@ -0,0 +1,147 @@ +""" +Detecting and correcting artefacts in RR time series +==================================================== + +This example describes artefacts correction in RR time series. + +The function `correct_rr()` automatically detect artefacts using the method proposed +by Lipponen & Tarvainen (2019) [#]_. At each iteration, shorts, extra, long, missed +and ectopic beats are corrected using interpolation of the RR time series, and the +detection procedure is run again using cleaned intervals. Importantly, when using +this method the signal length can be altered after the interpolation, introducing +misalignement with eg. triggers from the experiment. For this reason, it is only +recommended to use it in the context of "bloc design" study or heart rate variability. + +""" + +# Author: Nicolas Legrand +# Licence: GPL v3 + +#%% +import numpy as np +import pandas as pd +from systole import import_dataset1 +from systole.detection import ecg_peaks +from systole.correction import correct_rr +from systole.utils import input_conversion +from systole.plots import plot_rr, plot_frequency +from systole.hrv import frequency_domain +import matplotlib.pyplot as plt +import seaborn as sns + +#%% Import ECG recording and events triggers +ecg_df = import_dataset1(modalities=['ECG', 'Stim']) + +#%% Detecting R peaks in the ECG signal using the Pan-Tompkins method +signal, peaks = ecg_peaks(ecg_df.ecg, method='pan-tompkins', sfreq=1000) + +#%% First, we are going to convert the peaks vector into RR intervals time series. +rr_ms = input_conversion(peaks, input_type="peaks", output_type="rr_ms") + +#%% We can visualize this series using Systole's built in `plot_rr` function. Here we +# are using Matplotlib as plotting backend. +plot_rr(rr_ms, input_type='rr_ms', figsize=(13, 5)) + +#%% For now, this time series it not really artefacted. We can easily simulate missed +# peaks and extra peaks by manually increasing or decreasing the length of some RR +# intervals. + +np.random.seed(123) # For result reproductibility + +corrupted_rr = rr_ms.copy() # Create a new RR intervals vector + +# Randomly select 50 intervals in the time series and multiply them by 2 (missed peaks) +corrupted_rr[np.random.choice(len(corrupted_rr), 50)] *= 2 + +# Randomly select 50 intervals in the time series and divide them by 3 (extra peaks) +corrupted_rr[np.random.choice(len(corrupted_rr), 50)] /= 3 + +#%% Lets see if the artefact we created are correctly detected. Note that here, we are +# using `show_artefacts=True` so the artefacts detection runs automatically and shows +# in the plot. +plot_rr( + corrupted_rr, input_type='rr_ms', show_artefacts=True, line=False, figsize=(13, 5) + ) +plt.show() +#%% The artefacts simulation seems to work fine so far. We have created abnormal long +# and short RR intervals and they are later correctly detected. We can now apply the RR +# time series correction method. This function will automatically detect possible +# artefacts in the RR intervals and reconstruct the most probable value using time +# series interpolation. The number of iteration is set to `2` by default, we add it +# here for clarity. +rr_correction = correct_rr(corrupted_rr, n_iterations=2) + +#%% The num +plot_rr(rr_correction["clean_rr"], input_type='rr_ms', show_artefacts=True, + line=False, figsize=(13, 5)) +plt.show() +#%% We can see that after two iterations, most/all of the artefacts have been corrected. +# This does not means that the new values match exactly the RR intervals, and the new +# corrected time series will always slightly differs from the original one. However, we +# can estimate how large this difference is by comparing the true, corrupted and +# corrected time series a posteriori. Here, instead of comparing the time series side +# by side, we can have a look at some HRV metrics that are known to be affected by RR +# artefacts, like the high frequency HRV. +_, axs = plt.subplots(1, 3, figsize=(13, 5), sharey=True) +for i, rr, lab in zip(range(3), + [rr_ms, corrupted_rr, rr_correction["clean_rr"]], + ["Original", "Corrupted", "Corrected"]): + plot_frequency(rr, input_type="rr_ms", ax=axs[i]) + axs[i].set_title(lab) + + +#%% Looking at the PSD plots, it seems that the corrected RR time series has highly +# similar frequency dynamic. To get a more quantitative view of this resultm e can +# simply repeat this process of RR corruption-correction many time and check the HF-HRV +# parameters estimated at each steps. + +# Clean the RR time series before simulation +initial_rr = correct_rr(rr_ms.copy())["clean_rr"] + +simulation_df = pd.DataFrame([]) +for i in range(20): + + # Measure HF-HRV for corrupted RR intervals time series + corrupted_rr = initial_rr.copy() + corrupted_rr[np.random.choice(len(corrupted_rr), 50)] *= 2 + corrupted_rr[np.random.choice(len(corrupted_rr), 50)] /= 3 + corrupted_hrv = frequency_domain(corrupted_rr, input_type="rr_ms") + corrupted_hf = corrupted_hrv[corrupted_hrv.Metric == "power_hf_nu"].Values.iloc[0] + + # Measure HF-HRV for corrected RR intervals time series + corrected = correct_rr(corrupted_rr, n_iterations=2, verbose=False)["clean_rr"] + corrected_hrv = frequency_domain(corrected, input_type="rr_ms") + corrected_hf = corrected_hrv[corrected_hrv.Metric == "power_hf_nu"].Values.iloc[0] + + simulation_df = simulation_df.append( + pd.DataFrame({"HF-HRV (n.u.)": [corrupted_hf, corrected_hf], + "Data Quality": ["Corrupted", "Corrected"] + }) + ) + +initial_hrv = frequency_domain(initial_rr, input_type="rr_ms") +initial_hf = initial_hrv[initial_hrv.Metric == "power_hf_nu"].Values.iloc[0] + +#%% Simulation results +plt.figure(figsize=(5, 8)) +sns.boxplot(data=simulation_df, x="Data Quality", y="HF-HRV (n.u.)", palette="vlag") +sns.stripplot(data=simulation_df, x="Data Quality", y="HF-HRV (n.u.)", + size=8, color=".3", linewidth=0) +plt.axhline(y=initial_hf, linestyle="--", color="gray") +plt.title("HF-HV recovery \n after RR artefacts correction") +plt.annotate("True HF-HRV", xy=(0, initial_hf), xytext=(-0.4, initial_hf - 0.05), + arrowprops = dict(facecolor ='grey', shrink = 0.05)) +sns.despine() +plt.show() + +#%% As we can see in the figure above, while the estimate of the HF-HRV is largely +# affected by the presence of simulated artefacts, the proposed correction methods +# allows to recover the true parameter with some precision. + +#%% +# References +# ---------- +# .. [#] Lipponen, J. A., & Tarvainen, M. P. (2019). A robust algorithm for +# heart rate variability time series artefact correction using novel +# beat classification. Journal of Medical Engineering & Technology, +# 43(3), 173–181. https://doi.org/10.1080/03091902.2019.1640306 diff --git a/examples/README.rst b/examples/README.rst index 4ce0a2a2..1d6362fb 100644 --- a/examples/README.rst +++ b/examples/README.rst @@ -1,11 +1,6 @@ .. _general_examples: -Tutorials -========= +Example gallery +=============== -This section demonstrates some of the basic functionality of **systole**. -If you want to see the tutorials in action, you can also click on the link below and navigate to the ``tutorials/`` folder to launch one of the interactive Jupyter notebooks. - -.. contents:: Contents - :local: - :depth: 3 +This section demonstrates some of the basic functionality of **systole**. \ No newline at end of file diff --git a/examples/Recording/README.txt b/examples/Recording/README.txt new file mode 100644 index 00000000..e1f4382d --- /dev/null +++ b/examples/Recording/README.txt @@ -0,0 +1,2 @@ +Recording ++++++++++ \ No newline at end of file diff --git a/examples/plot_HeartBeatEvokedArpeggios.py b/examples/Recording/plot_HeartBeatrpeggios.py similarity index 66% rename from examples/plot_HeartBeatEvokedArpeggios.py rename to examples/Recording/plot_HeartBeatrpeggios.py index af7981e1..2a35731b 100644 --- a/examples/plot_HeartBeatEvokedArpeggios.py +++ b/examples/Recording/plot_HeartBeatrpeggios.py @@ -1,6 +1,6 @@ """ -Heartbeat Evoked Arpeggios -============================ +Heartbeat Evoked Arpeggios (cardiac-contingent stimuli) +======================================================= This tutorial illustrates how to use the ``Oximeter`` class to trigger stimuli at different phases of the cardiac cycle using the [Psychopy](https://www.psychopy.org/) @@ -12,7 +12,8 @@ limiting variance in the onset synchrony between the tones and the cardiac cycle. On this basis, each presentation time is calibrated based on the previous RR-interval. This procedure can easily be adapted to create a standard interoception task, e.g. by either presenting -tones at no delay (systole, s+) or at a fixed offset (diastole, s-). +tones at no delay (systole, s+) or a fixed offset (diastole, s-). + """ # Author: Nicolas Legrand @@ -23,11 +24,10 @@ import matplotlib.pyplot as plt import numpy as np -import seaborn as sns from psychopy.sound import Sound - +import seaborn as sns from systole import serialSim -from systole.plotting import circular +from systole.plots import plot_circular, plot_events from systole.recording import Oximeter from systole.utils import norm_triggers, to_angles @@ -65,7 +65,7 @@ systoleTime1, systoleTime2, systoleTime3 = None, None, None tstart = time.time() -while time.time() - tstart < 30: +while time.time() - tstart < 20: # Check if there are new data to read while oxi.serial.inWaiting() >= 5: @@ -114,25 +114,53 @@ #%% # Events # -------- +# We now have triggers for the presentation of different notes relative to the systolic +# peaks detected in the PPG signal in real-time. We can visualize the distribution +# of these events using the `plot_events` function that will take the cleaned triggers +# channels as input. We can see in the plot below that the events are nicely aligned +# with the PPG signal. + +_, axs = plt.subplots(2, 1, figsize=(18, 6), sharex=True) + +# Loop across channels +events_labels = ["C", "E", "G", "Bfl"] +palette = itertools.cycle(sns.color_palette("deep")) +for i in np.arange(3, -1, -1): + + # Clan the triggers vector so we just have one trigger / event + triggers = norm_triggers( + triggers=oxi.channels[f"Channel_{i}"], n=10, direction="higher" + ) + + # Plot the event according to its duration (0.1 second) + plot_events( + triggers=triggers, tmin=0.0, tmax=0.1, sfreq=75, + events_labels=events_labels[i], ax=axs[0], palette=[next(palette)]) + axs[0].set_xlabel("") + +oxi.plot_raw(ax=axs[1]) -f, (ax1, ax2) = plt.subplots(2, 1, figsize=(12, 5), sharex=True) -oxi.plot_recording(ax=ax1) -oxi.plot_events(ax=ax2) plt.tight_layout() #%% # Cardiac cycle # ------------- +# Another way to have a look at this event distribution is to look at when they occur +# relative to the cardiac cycle. Considering that one full cycle (beat to beat) can be +# represented as the full revolution around a trigonometric circle, it is possible to +# show the occurrence of an event relative to this cardiac phase. +# Creat a list of angular values for each conditions angles = [] x = np.asarray(oxi.peaks) for ev in oxi.channels: events = norm_triggers( - np.asarray(oxi.channels[ev]), threshold=1, n=40, direction="higher" + np.asarray(oxi.channels[ev]), threshold=1, n=10, direction="higher" ) angles.append(to_angles(np.where(x)[0], np.where(events)[0])) -palette = itertools.cycle(sns.color_palette("deep")) -ax = plt.subplot(111, polar=True) -for i in angles: - circular(i, color=next(palette), ax=ax) +# Plot the cardiac phase for each condition using different density representation +_, axs = plt.subplots(1, 3, figsize=(13, 5), subplot_kw=dict(projection="polar")) +for i, density in enumerate(["height", "area", "alpha"]): + plot_circular(angles, density=density, ax=axs[i]) + axs[i].set_title(f"Density method = {density}") diff --git a/source/auto_examples/plot_InstantaneousHeartRate.py b/examples/Recording/plot_InstantaneousHeartRate.py similarity index 70% rename from source/auto_examples/plot_InstantaneousHeartRate.py rename to examples/Recording/plot_InstantaneousHeartRate.py index 985e0c81..1fd6d1d5 100644 --- a/source/auto_examples/plot_InstantaneousHeartRate.py +++ b/examples/Recording/plot_InstantaneousHeartRate.py @@ -13,11 +13,13 @@ # Licence: GPL v3 import matplotlib.pyplot as plt +import pandas as pd import numpy as np - from systole import serialSim from systole.recording import Oximeter -from systole.utils import heart_rate +from systole.detection import ppg_peaks +from systole.plots import plot_raw, plot_rr + #%% # Recording @@ -45,25 +47,17 @@ #%% # Plotting # -------- -fig, ax = plt.subplots(3, 1, figsize=(13, 8), sharex=True) -oxi.plot_recording(ax=ax[0]) -ax[1].plot(oxi.times, oxi.peaks, "k") -ax[1].set_title("Peaks vector", fontweight="bold") -ax[1].set_xlabel("Time (s)") -ax[1].set_ylabel("Peak\n detection") +signal, peaks = ppg_peaks(x=oxi.recording, sfreq=75) +fig, ax = plt.subplots(3, 1, figsize=(13, 8), sharex=True) + +plot_raw(signal=signal, show_heart_rate=False, ax=ax[0]) -hr, time = heart_rate(oxi.peaks, sfreq=75, unit="rr", kind="cubic") -ax[2].plot(time, hr, label="Interpolated HR", linestyle="--", color="gray") -ax[2].plot( - np.array(oxi.times)[np.where(oxi.peaks)[0]], - hr[np.where(oxi.peaks)[0]], - "ro", - label="Instantaneous HR", -) -ax[2].set_xlabel("Time (s)") -ax[2].set_title("Instantaneous Heart Rate", fontweight="bold") -ax[2].set_ylabel("RR intervals (ms)") +times = pd.to_datetime(np.arange(0, len(peaks)), unit="ms", origin="unix") +ax[1].plot(times, peaks, "#55a868") +ax[1].set_title("Peaks vector") +ax[1].set_ylabel("Peak\n detection") +plot_rr(peaks, input_type="peaks", ax=ax[2]) plt.tight_layout() diff --git a/examples/Recording/plot_RecordingPPG.py b/examples/Recording/plot_RecordingPPG.py new file mode 100644 index 00000000..4d59d405 --- /dev/null +++ b/examples/Recording/plot_RecordingPPG.py @@ -0,0 +1,98 @@ +""" +Recording PPG signal +==================== + +The py:class:`systole.recording.Oximeter` class can be used to read incoming PPG signal +from `Nonin 3012LP Xpod USB pulse oximeter +`_ together with the `Nonin 8000SM 'soft-clip' +fingertip sensors `_. This function can easily +be integrated with other stimulus presentation software lie `PsychoPy +`_ to record cardiac activity during psychological +experiments, or to synchronize stimulus delivery around cardiac phases (e.g. systole or +diastole). + +""" + +# Author: Nicolas Legrand +# Licence: GPL v3 + + +#%% +# Recording PPG singal +# -------------------- + +from systole.recording import Oximeter +from systole import serialSim +#%% +# Recording and plotting your first PPG time-series only require a few lines of code: +# First, open a serial port. Note that here we are using Systole's PPG simulation +# function so the example can run without any device plugged on the computer for the +# demonstration. If you want to connect to an actual Nonin pulse oximeter, you simply +# have to provide the port reference it is plugged in (see commented lines below). + +ser = serialSim() # Simulate a device + +# Use a USB device +#import serial +#ser = serial.Serial("COM4") # Use this line for USB recording + +#%% +# Once the reference of the port created, you can create a recording instance, +# initialize it and read some incoming signal in just one line of code. + +oxi = Oximeter(serial=ser).setup().read(duration=10) + +#%% The recording instance also interface with systole's plotting module so the signal +# can be directly plotted using built-in functions. +oxi.plot_raw(show_heart_rate=True, figsize=(13, 8)) + +#%% +# Interfacing with PsychoPy +# ------------------------- +# One nice feature provided by Systole is that it can run the recording of PPG signal +# together with other Python scripts like Psychopy, which can be used to build +# psychological experiments. There are two ways for interfacing with other scripts, it +# can be done either in a serial or in a (pseudo-) parallel way. + +# - The ``read()`` method will record for a predefined amount of time +# (specified by the ``duration`` parameter, in seconds). This 'serial mode' +# is the easiest and most robust method, but it does not allow the execution +# of other instructions in the meantime. + +# Code 1 {} +oxi.read(duration=10) +# Code 2 {} + +# - The ``readInWaiting()`` method will only read the bytes temporally stored +# in the USB buffer. For the Nonin device, this represents up to 10 seconds of +# recording (this procedure should be executed at least one time every 10 +# seconds for a continuous recording). When inserted into a while loop, it can +# record PPG signal almost in parallel with other commands. + +import time +tstart = time.time() +while time.time() - tstart < 10: + oxi.readInWaiting() + # Insert code here {...} + +#%% +# Online detection +# ---------------- +# The recording instance is also detecting heartbeats automatically in the background, +# and this information can be accessed in real-time to deliver stimuli time-locked to +# specific cardiac phases. Note that the delay between the actual heartbeat and the +# execution of computer code (here the `print` command in the example below) can be +# important. Also, it is important to note that the systolic peak detected in the PPG +# signal is delayed relative to the R peaks observed in the ECG signal. + +# Create an Oxymeter instance and initialize recording +oxi = Oximeter(serial=ser, sfreq=75, add_channels=4).setup() + +# Online peak detection - run for 10 seconds +tstart = time.time() +while time.time() - tstart < 10: + while oxi.serial.inWaiting() >= 5: + paquet = list(oxi.serial.read(5)) + oxi.add_paquet(paquet[2]) # Add new data point + if oxi.peaks[-1] == 1: + print("Heartbeat detected") diff --git a/examples/Tutorial_recording.py b/examples/Tutorial_recording.py deleted file mode 100644 index abf0eb52..00000000 --- a/examples/Tutorial_recording.py +++ /dev/null @@ -1,88 +0,0 @@ -""" -Recording PPG signal -==================== -""" - -# Author: Nicolas Legrand -# Licence: GPL v3 - -# The py:class:systole.recording.Oximeter class can be used to read incoming -# PPG signal from `Nonin 3012LP Xpod USB pulse oximeter -# `_ together with the `Nonin 8000SM -# 'soft-clip' fingertip sensors `_. -# This function can easily be integrated with other stimulus presentation -# software lie `PsychoPy `_ to record cardiac -# activity during psychological experiments, or to synchronize stimulus -# delivery with cardiac phases (e.g. systole or diastole). - - -#%% -# Reading -# ------- -# Recording and plotting your first time-series will only require 5 lines -# of code: - -import time - -import serial - -from systole.recording import Oximeter - -ser = serial.Serial("COM4") # Add your USB port here - -# Open serial port, initialize and plot recording for Oximeter -oxi = Oximeter(serial=ser).setup().read(duration=10) - -# The signal can be directly plotted using built-in functions. -oxi.plot_oximeter() - -############################################################################## -# .. figure:: https://github.com/embodied-computation-group/systole/raw/master/Images/recording.png -# :align: center -############################################################################## - -#%% -# Interfacing with PsychoPy -# ------------------------- - -# * The ``read()`` method will record for a predefined amount of time -# (specified by the ``duration`` parameter, in seconds). This 'serial mode' -# is the easiest and most robust method, but it does not allow the execution -# of other instructions in the meantime. - -# Code 1 {} -oximeter.read(duration=10) -# Code 2 {} - -# * The ``readInWaiting()`` method will only read the bytes temporally stored -# in the USB buffer. For the Nonin device, this represents up to 10 seconds of -# recording (this procedure should be executed at least one time every 10 -# seconds for a continuous recording). When inserted into a while loop, it can -# record PPG signal in parallel with other commands. - - -tstart = time.time() -while time.time() - tstart < 10: - oximeter.readInWaiting() - # Insert code here {...} - -#%% -# Online detection -# ---------------- -# Online heart beat detection, for cardiac-stimulus synchrony - - -# Open serial port -ser = serial.Serial("COM4") # Change this value according to your setup - -# Create an Oxymeter instance and initialize recording -oxi = Oximeter(serial=ser, sfreq=75, add_channels=4).setup() - -# Online peak detection for 10 seconds -tstart = time.time() -while time.time() - tstart < 10: - while oxi.serial.inWaiting() >= 5: - paquet = list(oxi.serial.read(5)) - oxi.add_paquet(paquet[2]) # Add new data point - if oxi.peaks[-1] == 1: - print("Heartbeat detected") diff --git a/examples/plot_ArtefactsCorrection.py b/examples/plot_ArtefactsCorrection.py deleted file mode 100644 index 86fe1b80..00000000 --- a/examples/plot_ArtefactsCorrection.py +++ /dev/null @@ -1,49 +0,0 @@ -""" -Outliers and ectobeats correction -================================= - -Here, we describe two method for artefacts and outliers correction, after -detection using the method proposed by Lipponen & Tarvainen (2019) [#]_. -""" - -# Author: Nicolas Legrand -# Licence: GPL v3 - -# Two approaches for artefacts correction are proposed: -# * `correct_peaks()` will find and correct artefacts in a boolean peaks -# vector, thus ensuring the length of recording remain constant and corrected -# peaks fit the signal sampling rate. This method is more adapted to -# event-related cardiac activity designs. - -# * `correct_rr()` will find and correct artefacts in the RR time series. The -# signal length will possibly change after the interpolation of long, short or -# ectopic beats. This method is more relevant for HRV analyse of long recording -# where the timing of experimental events is not important. - -import matplotlib.pyplot as plt -#%% -import numpy as np - -from systole import simulate_rr -from systole.correction import correct_peaks, correct_rr -from systole.plotting import plot_subspaces - -#%% Method 1 - Peaks correction -# ############################# - -peaks = simulate_rr(as_peaks=True) -peaks_correction = correct_peaks(peaks) -peaks_correction - -#%% Method 2 - RR correction -# ############################# -rr = simulate_rr() -rr_correction = correct_rr(rr) - -#%% -# References -# ---------- -# .. [#] Lipponen, J. A., & Tarvainen, M. P. (2019). A robust algorithm for -# heart rate variability time series artefact correction using novel -# beat classification. Journal of Medical Engineering & Technology, -# 43(3), 173–181. https://doi.org/10.1080/03091902.2019.1640306 diff --git a/examples/plot_ArtefactsDetection.py b/examples/plot_ArtefactsDetection.py deleted file mode 100644 index 0f955bcd..00000000 --- a/examples/plot_ArtefactsDetection.py +++ /dev/null @@ -1,63 +0,0 @@ -""" -Outliers and artefacts detection -================================ - -This example shows how to detect ectopic, missed, extra, slow and long long -from RR or pulse rate interval time series using the method proposed by -Lipponen & Tarvainen (2019) [#]_. -""" - -# Author: Nicolas Legrand -# Licence: GPL v3 - -#%% -from systole.detection import rr_artefacts -from systole.plotting import plot_subspaces -from systole.utils import simulate_rr - -#%% -# RR artefacts -# ------------ -# The proposed method will detect 4 kinds of artefacts in an RR time series: -# Missed R peaks, when an existing R component was erroneously NOT detected by -# the algorithm. -# * Extra R peaks, when an R peak was detected but does not exist in the -# signal. -# * Long or short interval intervals, when R peaks are correctly detected but -# the resulting interval has extreme value in the overall time-series. -# * Ectopic beats, due to disturbance of the cardiac rhythm when the heart -# either skip or add an extra beat. -# * The category in which the artefact belongs will have an influence on the -# correction procedure (see Artefact correction). - -#%% -# Simulate RR time series -# ----------------------- -# This function will simulate RR time series containing ectopic, extra, missed, -# long and short artefacts. - -rr = simulate_rr() - -#%% -# Artefact detection -# ------------------ - -outliers = rr_artefacts(rr) - -#%% -# Subspaces visualization -# ----------------------- -# You can visualize the two main subspaces and spot outliers. The left pamel -# plot subspaces that are more sensitive to ectopic beats detection. The right -# panel plot subspaces that will be more sensitive to long or short beats, -# comprizing the extra and missed beats. - -plot_subspaces(rr) - -#%% -# References -# ---------- -# .. [#] Lipponen, J. A., & Tarvainen, M. P. (2019). A robust algorithm for -# heart rate variability time series artefact correction using novel -# beat classification. Journal of Medical Engineering & Technology, -# 43(3), 173–181. https://doi.org/10.1080/03091902.2019.1640306 diff --git a/examples/plot_InstantaneousHeartRate.py b/examples/plot_InstantaneousHeartRate.py deleted file mode 100644 index 985e0c81..00000000 --- a/examples/plot_InstantaneousHeartRate.py +++ /dev/null @@ -1,69 +0,0 @@ -""" -Instantaneous Heart Rate -======================== - -This example show how to record PPG signals using the `Nonin 3012LP -Xpod USB pulse oximeter `_ and the `Nonin -8000SM 'soft-clip' fingertip sensors `_. -Peaks are automatically labelled online and the instantaneous heart rate is -plotted. -""" - -# Author: Nicolas Legrand -# Licence: GPL v3 - -import matplotlib.pyplot as plt -import numpy as np - -from systole import serialSim -from systole.recording import Oximeter -from systole.utils import heart_rate - -#%% -# Recording -# --------- -# For the demonstration purpose, here we simulate data acquisition through -# the pulse oximeter using pre-recorded signal. - -ser = serialSim() - -#%% -# If you want to enable online data acquisition, you should uncomment the -# following lines and provide the reference of the COM port where the pulse -# oximeter is plugged in. - -############################################################################### -# .. code-block:: python -# -# import serial -# ser = serial.Serial('COM4') # Change this value according to your setup - -# Create an Oxymeter instance, initialize recording and record for 10 seconds -oxi = Oximeter(serial=ser, sfreq=75).setup() -oxi.read(30) - -#%% -# Plotting -# -------- -fig, ax = plt.subplots(3, 1, figsize=(13, 8), sharex=True) -oxi.plot_recording(ax=ax[0]) - -ax[1].plot(oxi.times, oxi.peaks, "k") -ax[1].set_title("Peaks vector", fontweight="bold") -ax[1].set_xlabel("Time (s)") -ax[1].set_ylabel("Peak\n detection") - - -hr, time = heart_rate(oxi.peaks, sfreq=75, unit="rr", kind="cubic") -ax[2].plot(time, hr, label="Interpolated HR", linestyle="--", color="gray") -ax[2].plot( - np.array(oxi.times)[np.where(oxi.peaks)[0]], - hr[np.where(oxi.peaks)[0]], - "ro", - label="Instantaneous HR", -) -ax[2].set_xlabel("Time (s)") -ax[2].set_title("Instantaneous Heart Rate", fontweight="bold") -ax[2].set_ylabel("RR intervals (ms)") - -plt.tight_layout() diff --git a/examples/plot_InteractiveVisualizations.py b/examples/plot_InteractiveVisualizations.py deleted file mode 100644 index 7d82a967..00000000 --- a/examples/plot_InteractiveVisualizations.py +++ /dev/null @@ -1,73 +0,0 @@ -""" -Interactive visualization -========================= - -The pipeline of physiological recording can often benefiit from -interactive data visualization and exploration to guide data analysis. Systole -include functions build on the top of Plotly (https://plotly.com/) for -interactive data visualization and dashboard integration -(https://plotly.com/dash/). -""" - -# Author: Nicolas Legrand -# Licence: GPL v3 - -#%% -import plotly - -from systole import import_ppg, import_rr -from systole.detection import rr_artefacts -from systole.plotly import ( - plot_frequency, - plot_nonlinear, - plot_raw, - plot_subspaces, - plot_timedomain, -) - -#%% -# Raw data -# -------- -# -ppg = import_ppg() -plot_raw(ppg) - -#%% -# HRV analyses -# ------------ - -rr = import_rr().rr.values - -#%% -# Frequency domain -# ---------------- -plot1 = plot_timedomain(rr) -plotly.io.show(plot1) - -#%% -# Frequency domain -# ---------------- -plot2 = plot_frequency(rr) -plotly.io.show(plot2) - -#%% -# Nonlinear domain -# ---------------- -plot3 = plot_nonlinear(rr) -plotly.io.show(plot3) - -#%% -# Artefact detection -# ------------------ - -artefacts = rr_artefacts(rr) - -#%% -# Subspaces visualization -# ----------------------- -# You can visualize the two main subspaces and spot outliers. The left pamel -# plot subspaces that are more sensitive to ectopic beats detection. The right -# panel plot subspaces that will be more sensitive to long or short beats, -# comprizing the extra and missed beats. - -plot_subspaces(rr) diff --git a/requirements-test.txt b/requirements-test.txt index a84e5939..f87da8d3 100644 --- a/requirements-test.txt +++ b/requirements-test.txt @@ -3,7 +3,9 @@ scipy>=1.3.0 pandas>=0.24 matplotlib>=3.0.2 seaborn>=0.9.0 -plotly>=4.14.3 +bokeh>=2.3.2 pyserial>=3.4 tqdm>=4.41.1 requests>=2.24.0 +numba>=0.51.2 +papermill>=2.2.2 \ No newline at end of file diff --git a/requirements.txt b/requirements.txt index aa67be67..4009f4f1 100644 --- a/requirements.txt +++ b/requirements.txt @@ -3,6 +3,7 @@ scipy>=1.3.0 pandas>=0.24 matplotlib>=3.0.2 seaborn>=0.9.0 -py-ecg-detectors>=1.0.2 pyserial>=3.4 -outdated \ No newline at end of file +setuptools>=38.4 +packaging +numba>=0.51.2 \ No newline at end of file diff --git a/setup.py b/setup.py index 9724b421..39fa1a39 100644 --- a/setup.py +++ b/setup.py @@ -1,36 +1,27 @@ -# Copyright (C) 2019 Nicolas Legrand import os +import codecs +from setuptools import find_packages, setup + +PROJECT_ROOT = os.path.dirname(os.path.realpath(__file__)) +REQUIREMENTS_FILE = os.path.join(PROJECT_ROOT, "requirements.txt") def read(fname): return open(os.path.join(os.path.dirname(__file__), fname)).read() -DESCRIPTION = """Psychophysiology with Python""" +def get_requirements(): + with codecs.open(REQUIREMENTS_FILE) as buff: + return buff.read().splitlines() + + +DESCRIPTION = """Cardiac signal analysis with Python""" DISTNAME = "systole" MAINTAINER = "Nicolas Legrand" MAINTAINER_EMAIL = "nicolas.legrand@cfin.au.dk" -VERSION = "0.1.3" - -INSTALL_REQUIRES = [ - "numpy>=1.17", - "scipy>=1.3", - "pandas>=0.24", - "matplotlib>=3.0.2", - "seaborn>=0.9.0", - "pyserial>=3.4", - "py-ecg-detectors==1.0.2", -] - -PACKAGES = ["systole", "systole.datasets"] - -try: - from setuptools import setup +VERSION = "0.2.0" - _has_setuptools = True -except ImportError: - from distutils.core import setup if __name__ == "__main__": @@ -45,7 +36,7 @@ def read(fname): long_description_content_type="text/x-rst", license="GPL-3.0", version=VERSION, - install_requires=INSTALL_REQUIRES, + install_requires=get_requirements(), include_package_data=True, - packages=PACKAGES, + packages=find_packages(), ) diff --git a/source/_static/style.css b/source/_static/style.css new file mode 100644 index 00000000..d0df5d4e --- /dev/null +++ b/source/_static/style.css @@ -0,0 +1,243 @@ +body { + font-family: 'Open Sans', sans-serif; + color: #444444 !important; + max-width: 100% !important; +} + +h1 { font-size: 40px !important; } +h2 { font-size: 32px !important; } +h3 { font-size: 24px !important; } +h4 { font-size: 18px !important; } +h5 { font-size: 14px !important; } +h6 { font-size: 10px !important; } + +footer a{ + + color: #4c72b0 !important; +} +a.reference { + color: #4c72b0 !important; +} + +blockquote p { + font-size: 14px !important; +} + +blockquote { + padding-top: 4px !important; + padding-bottom: 4px !important; + margin: 0 0 0px !important; +} + +pre { + margin-top: 11.5px !important; + background-color: #f6f6f9 !important; +} + +code { + color: #49759c !important; + background-color: transparent !important; +} + +code.descclassname { + padding-right: 0px !important; +} + +code.descname { + padding-left: 0px !important; +} + +dt:target, span.highlighted { + background-color: #ffffff !important; +} + +ul { + padding-left: 20px !important; +} + +ul.dropdown-menu { + padding-left: 0px !important; +} + +.alert-info { + background-color: #bbd2ea !important; + border-color: #bbd2ea !important; + color: #2c3e50 !important; +} + +.alert-warning { + background-color: #e09572 !important; + border-color: #e09572 !important; + color: #222222 !important; +} + +img { + margin-bottom: 10px !important; +} + +/* From https://github.com/twbs/bootstrap/issues/1768 */ +*[id]:before { + display: block; + content: " "; + margin-top: -60px; + height: 60px; + visibility: hidden; +} + +.dataframe table { + /*Uncomment to center tables horizontally*/ + /* margin-left: auto; */ + /* margin-right: auto; */ + border: none; + border-collapse: collapse; + border-spacing: 0; + font-size: 12px; + table-layout: fixed; +} + +.dataframe thead { + border-bottom: 1px solid; + vertical-align: bottom; +} + +.dataframe tr, th, td { + text-align: left; + vertical-align: middle; + padding: 0.5em 0.5em; + line-height: normal; + white-space: normal; + max-width: none; + border: none; +} + +.dataframe th { + font-weight: bold; +} + +table { + margin-bottom: 20px; +} + +tbody tr:nth-child(odd) { + background: #f5f5f5; +} + +tbody tr:hover { + background: rgba(66, 165, 245, 0.2); +} + +.label, +.badge { + display: inline-block; + padding: 2px 4px; + font-size: 11.844px; + /* font-weight: bold; */ + line-height: 13px; + color: #ffffff; + vertical-align: baseline; + white-space: nowrap; + /* text-shadow: 0 -1px 0 rgba(0, 0, 0, 0.25); */ + background-color: #999999; +} +.badge { + padding-left: 9px; + padding-right: 9px; + -webkit-border-radius: 9px; + -moz-border-radius: 9px; + border-radius: 9px; + opacity: 70%; +} +.badge-api { + background-color: #c44e52; +} +.badge-defaults { + background-color: #dd8452; +} +.badge-docs { + background-color: #8172b3; +} +.badge-feature { + background-color: #55a868; +} +.badge-enhancement { + background-color: #4c72b0; +} +.badge-fix { + background-color: #ccb974; +} + +.navbar-brand { + padding-top: 16px; + padding-bottom: 16px; +} + +/* Override some aspects of the pydata-sphinx-theme: taken from Pandas */ + +:root { + /* Use softer blue from bootstrap's default info color */ + --pst-color-info: 23, 162, 184; + --pst-color-active-navigation: 1, 50, 67; + } + + /* Main index page overview cards */ + + .intro-card { + background: #fff; + border-radius: 0; + padding: 30px 10px 20px 10px; + margin: 10px 0px; + } + + .intro-card p.card-text { + margin: 0px; + } + + .intro-card .card-img-top { + height: 52px; + width: 52px; + margin-left: auto; + margin-right: auto; + } + + .intro-card .card-header { + border: none; + background-color:white; + color: #150458 !important; + font-size: var(--pst-font-size-h5); + font-weight: bold; + padding: 2.5rem 0rem 0.5rem 0rem; + } + + .intro-card .card-footer { + border: none; + background-color:white; + } + + .intro-card .card-footer p.card-text{ + max-width: 220px; + margin-left: auto; + margin-right: auto; + } + + .custom-button { + background-color:#DCDCDC; + border: none; + color: #fff; + text-align: center; + text-decoration: none; + display: inline-block; + font-size: 0.9rem; + border-radius: 0.5rem; + max-width: 120px; + padding: 0.5rem 0rem; + } + + .custom-button a { + color: #fff; + } + + .custom-button p { + margin-top: 0; + margin-bottom: 0rem; + color: #fff; + } \ No newline at end of file diff --git a/source/api.rst b/source/api.rst index d5f8a684..a534911e 100644 --- a/source/api.rst +++ b/source/api.rst @@ -24,7 +24,6 @@ Correction correct_rr correct_peaks correct_missed_peaks - correct_extra_peaks Detection --------- @@ -36,7 +35,7 @@ Detection .. autosummary:: :toctree: generated/detection - oxi_peaks + ppg_peaks ecg_peaks rr_artefacts interpolate_clipping @@ -58,41 +57,26 @@ Heart Rate Variability frequency_domain nonlinear -Plotly --------- +Plots +----- -.. currentmodule:: systole.plotly +.. currentmodule:: systole.plots -.. _plotly: +.. _plots: .. autosummary:: - :toctree: generated/plotly + :toctree: generated/plots - plot_raw + plot_circular plot_ectopic - plot_shortLong - plot_subspaces + plot_events + plot_evoked plot_frequency - plot_nonlinear - plot_timedomain - -Plotting --------- - -.. currentmodule:: systole.plotting - -.. _plotting: - -.. autosummary:: - :toctree: generated/plotting - + plot_pointcare plot_raw - plot_events - plot_oximeter + plot_rr + plot_shortlong plot_subspaces - plot_psd - circular - plot_circular Recording --------- @@ -125,4 +109,4 @@ Utils to_epochs simulate_rr to_neighbour - to_rr + input_conversion diff --git a/systole/tests/__init__.py b/source/api/systole.correction.correct_extra.examples similarity index 100% rename from systole/tests/__init__.py rename to source/api/systole.correction.correct_extra.examples diff --git a/source/api/systole.correction.correct_extra_peaks.examples b/source/api/systole.correction.correct_extra_peaks.examples new file mode 100644 index 00000000..e69de29b diff --git a/source/api/systole.correction.correct_missed.examples b/source/api/systole.correction.correct_missed.examples new file mode 100644 index 00000000..e69de29b diff --git a/source/api/systole.correction.correct_missed_peaks.examples b/source/api/systole.correction.correct_missed_peaks.examples new file mode 100644 index 00000000..e69de29b diff --git a/source/api/systole.correction.correct_peaks.examples b/source/api/systole.correction.correct_peaks.examples new file mode 100644 index 00000000..e69de29b diff --git a/source/api/systole.correction.correct_rr.examples 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b/source/api/systole.utils.to_neighbour.examples new file mode 100644 index 00000000..e69de29b diff --git a/source/auto_examples/Tutorial_recording.ipynb b/source/auto_examples/Tutorial_recording.ipynb deleted file mode 100644 index fc50630a..00000000 --- a/source/auto_examples/Tutorial_recording.ipynb +++ /dev/null @@ -1,115 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "%matplotlib inline" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "\n# Recording PPG signal\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# Author: Nicolas Legrand \n# Licence: GPL v3\n\n# The py:class:systole.recording.Oximeter class can be used to read incoming\n# PPG signal from `Nonin 3012LP Xpod USB pulse oximeter\n# `_ together with the `Nonin 8000SM\n# 'soft-clip' fingertip sensors `_.\n# This function can easily be integrated with other stimulus presentation\n# software lie `PsychoPy `_ to record cardiac\n# activity during psychological experiments, or to synchronize stimulus\n# delivery with cardiac phases (e.g. systole or diastole)." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Reading\nRecording and plotting your first time-series will only require 5 lines\nof code:\n\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "import time\n\nimport serial\n\nfrom systole.recording import Oximeter\n\nser = serial.Serial(\"COM4\") # Add your USB port here\n\n# Open serial port, initialize and plot recording for Oximeter\noxi = Oximeter(serial=ser).setup().read(duration=10)\n\n# The signal can be directly plotted using built-in functions.\noxi.plot_oximeter()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - ".. figure:: https://github.com/embodied-computation-group/systole/raw/master/Images/recording.png\n :align: center\n#############################################################################\n\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Interfacing with PsychoPy\n\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# * The ``read()`` method will record for a predefined amount of time\n# (specified by the ``duration`` parameter, in seconds). This 'serial mode'\n# is the easiest and most robust method, but it does not allow the execution\n# of other instructions in the meantime.\n\n# Code 1 {}\noximeter.read(duration=10)\n# Code 2 {}\n\n# * The ``readInWaiting()`` method will only read the bytes temporally stored\n# in the USB buffer. For the Nonin device, this represents up to 10 seconds of\n# recording (this procedure should be executed at least one time every 10\n# seconds for a continuous recording). When inserted into a while loop, it can\n# record PPG signal in parallel with other commands.\n\n\ntstart = time.time()\nwhile time.time() - tstart < 10:\n oximeter.readInWaiting()\n # Insert code here {...}" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Online detection\nOnline heart beat detection, for cardiac-stimulus synchrony\n\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# Open serial port\nser = serial.Serial(\"COM4\") # Change this value according to your setup\n\n# Create an Oxymeter instance and initialize recording\noxi = Oximeter(serial=ser, sfreq=75, add_channels=4).setup()\n\n# Online peak detection for 10 seconds\ntstart = time.time()\nwhile time.time() - tstart < 10:\n while oxi.serial.inWaiting() >= 5:\n paquet = list(oxi.serial.read(5))\n oxi.add_paquet(paquet[2]) # Add new data point\n if oxi.peaks[-1] == 1:\n print(\"Heartbeat detected\")" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.7.9" - } - }, - "nbformat": 4, - "nbformat_minor": 0 -} \ No newline at end of file diff --git a/source/auto_examples/Tutorial_recording.py b/source/auto_examples/Tutorial_recording.py deleted file mode 100644 index abf0eb52..00000000 --- a/source/auto_examples/Tutorial_recording.py +++ /dev/null @@ -1,88 +0,0 @@ -""" -Recording PPG signal -==================== -""" - -# Author: Nicolas Legrand -# Licence: GPL v3 - -# The py:class:systole.recording.Oximeter class can be used to read incoming -# PPG signal from `Nonin 3012LP Xpod USB pulse oximeter -# `_ together with the `Nonin 8000SM -# 'soft-clip' fingertip sensors `_. -# This function can easily be integrated with other stimulus presentation -# software lie `PsychoPy `_ to record cardiac -# activity during psychological experiments, or to synchronize stimulus -# delivery with cardiac phases (e.g. systole or diastole). - - -#%% -# Reading -# ------- -# Recording and plotting your first time-series will only require 5 lines -# of code: - -import time - -import serial - -from systole.recording import Oximeter - -ser = serial.Serial("COM4") # Add your USB port here - -# Open serial port, initialize and plot recording for Oximeter -oxi = Oximeter(serial=ser).setup().read(duration=10) - -# The signal can be directly plotted using built-in functions. -oxi.plot_oximeter() - -############################################################################## -# .. figure:: https://github.com/embodied-computation-group/systole/raw/master/Images/recording.png -# :align: center -############################################################################## - -#%% -# Interfacing with PsychoPy -# ------------------------- - -# * The ``read()`` method will record for a predefined amount of time -# (specified by the ``duration`` parameter, in seconds). This 'serial mode' -# is the easiest and most robust method, but it does not allow the execution -# of other instructions in the meantime. - -# Code 1 {} -oximeter.read(duration=10) -# Code 2 {} - -# * The ``readInWaiting()`` method will only read the bytes temporally stored -# in the USB buffer. For the Nonin device, this represents up to 10 seconds of -# recording (this procedure should be executed at least one time every 10 -# seconds for a continuous recording). When inserted into a while loop, it can -# record PPG signal in parallel with other commands. - - -tstart = time.time() -while time.time() - tstart < 10: - oximeter.readInWaiting() - # Insert code here {...} - -#%% -# Online detection -# ---------------- -# Online heart beat detection, for cardiac-stimulus synchrony - - -# Open serial port -ser = serial.Serial("COM4") # Change this value according to your setup - -# Create an Oxymeter instance and initialize recording -oxi = Oximeter(serial=ser, sfreq=75, add_channels=4).setup() - -# Online peak detection for 10 seconds -tstart = time.time() -while time.time() - tstart < 10: - while oxi.serial.inWaiting() >= 5: - paquet = list(oxi.serial.read(5)) - oxi.add_paquet(paquet[2]) # Add new data point - if oxi.peaks[-1] == 1: - print("Heartbeat detected") diff --git a/source/auto_examples/Tutorial_recording.rst b/source/auto_examples/Tutorial_recording.rst deleted file mode 100644 index 6418269a..00000000 --- a/source/auto_examples/Tutorial_recording.rst +++ /dev/null @@ -1,166 +0,0 @@ - -.. DO NOT EDIT. -.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY. -.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE: -.. "auto_examples\Tutorial_recording.py" -.. LINE NUMBERS ARE GIVEN BELOW. - -.. only:: html - - .. note:: - :class: sphx-glr-download-link-note - - Click :ref:`here ` - to download the full example code - -.. rst-class:: sphx-glr-example-title - -.. _sphx_glr_auto_examples_Tutorial_recording.py: - - -Recording PPG signal -==================== - -.. GENERATED FROM PYTHON SOURCE LINES 5-19 - -.. code-block:: default - - - # Author: Nicolas Legrand - # Licence: GPL v3 - - # The py:class:systole.recording.Oximeter class can be used to read incoming - # PPG signal from `Nonin 3012LP Xpod USB pulse oximeter - # `_ together with the `Nonin 8000SM - # 'soft-clip' fingertip sensors `_. - # This function can easily be integrated with other stimulus presentation - # software lie `PsychoPy `_ to record cardiac - # activity during psychological experiments, or to synchronize stimulus - # delivery with cardiac phases (e.g. systole or diastole). - - - -.. GENERATED FROM PYTHON SOURCE LINES 20-24 - -Reading -------- -Recording and plotting your first time-series will only require 5 lines -of code: - -.. GENERATED FROM PYTHON SOURCE LINES 24-39 - -.. code-block:: default - - - import time - - import serial - - from systole.recording import Oximeter - - ser = serial.Serial("COM4") # Add your USB port here - - # Open serial port, initialize and plot recording for Oximeter - oxi = Oximeter(serial=ser).setup().read(duration=10) - - # The signal can be directly plotted using built-in functions. - oxi.plot_oximeter() - - -.. GENERATED FROM PYTHON SOURCE LINES 40-43 - -.. figure:: https://github.com/embodied-computation-group/systole/raw/master/Images/recording.png - :align: center -############################################################################# - -.. GENERATED FROM PYTHON SOURCE LINES 45-47 - -Interfacing with PsychoPy -------------------------- - -.. GENERATED FROM PYTHON SOURCE LINES 47-69 - -.. code-block:: default - - - # * The ``read()`` method will record for a predefined amount of time - # (specified by the ``duration`` parameter, in seconds). This 'serial mode' - # is the easiest and most robust method, but it does not allow the execution - # of other instructions in the meantime. - - # Code 1 {} - oximeter.read(duration=10) - # Code 2 {} - - # * The ``readInWaiting()`` method will only read the bytes temporally stored - # in the USB buffer. For the Nonin device, this represents up to 10 seconds of - # recording (this procedure should be executed at least one time every 10 - # seconds for a continuous recording). When inserted into a while loop, it can - # record PPG signal in parallel with other commands. - - - tstart = time.time() - while time.time() - tstart < 10: - oximeter.readInWaiting() - # Insert code here {...} - - -.. GENERATED FROM PYTHON SOURCE LINES 70-73 - -Online detection ----------------- -Online heart beat detection, for cardiac-stimulus synchrony - -.. GENERATED FROM PYTHON SOURCE LINES 73-89 - -.. code-block:: default - - - - # Open serial port - ser = serial.Serial("COM4") # Change this value according to your setup - - # Create an Oxymeter instance and initialize recording - oxi = Oximeter(serial=ser, sfreq=75, add_channels=4).setup() - - # Online peak detection for 10 seconds - tstart = time.time() - while time.time() - tstart < 10: - while oxi.serial.inWaiting() >= 5: - paquet = list(oxi.serial.read(5)) - oxi.add_paquet(paquet[2]) # Add new data point - if oxi.peaks[-1] == 1: - print("Heartbeat detected") - - -.. rst-class:: sphx-glr-timing - - **Total running time of the script:** ( 0 minutes 0.000 seconds) - - -.. _sphx_glr_download_auto_examples_Tutorial_recording.py: - - -.. only :: html - - .. container:: sphx-glr-footer - :class: sphx-glr-footer-example - - - - .. container:: sphx-glr-download sphx-glr-download-python - - :download:`Download Python source code: Tutorial_recording.py ` - - - - .. container:: sphx-glr-download sphx-glr-download-jupyter - - :download:`Download Jupyter notebook: Tutorial_recording.ipynb ` - - -.. only:: html - - .. rst-class:: sphx-glr-signature - - `Gallery generated by Sphinx-Gallery `_ diff --git a/source/auto_examples/Tutorial_recording_codeobj.pickle b/source/auto_examples/Tutorial_recording_codeobj.pickle deleted file mode 100644 index df24569b..00000000 Binary files a/source/auto_examples/Tutorial_recording_codeobj.pickle and /dev/null differ diff --git a/source/auto_examples/auto_examples_jupyter.zip b/source/auto_examples/auto_examples_jupyter.zip deleted file mode 100644 index aba6089f..00000000 Binary files a/source/auto_examples/auto_examples_jupyter.zip and /dev/null differ diff --git a/source/auto_examples/auto_examples_python.zip b/source/auto_examples/auto_examples_python.zip deleted file mode 100644 index db6076c0..00000000 Binary files a/source/auto_examples/auto_examples_python.zip and /dev/null differ diff --git a/source/auto_examples/images/sphx_glr_plot_ArtefactsDetection_001.html b/source/auto_examples/images/sphx_glr_plot_ArtefactsDetection_001.html deleted file mode 100644 index e9b6a019..00000000 --- a/source/auto_examples/images/sphx_glr_plot_ArtefactsDetection_001.html +++ /dev/null @@ -1,85 +0,0 @@ - - - -
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_sphx_glr_auto_examples: - -.. _general_examples: - -Tutorials -========= - -This section demonstrates some of the basic functionality of **systole**. -If you want to see the tutorials in action, you can also click on the link below and navigate to the ``tutorials/`` folder to launch one of the interactive Jupyter notebooks. - -.. contents:: Contents - :local: - :depth: 3 - - - -.. raw:: html - -
- -.. only:: html - - .. figure:: /auto_examples/images/thumb/sphx_glr_plot_ArtefactsDetection_thumb.png - :alt: Outliers and artefacts detection - - :ref:`sphx_glr_auto_examples_plot_ArtefactsDetection.py` - -.. raw:: html - -
- - -.. toctree:: - :hidden: - - /auto_examples/plot_ArtefactsDetection - -.. raw:: html - -
- -.. only:: html - - .. figure:: /auto_examples/images/thumb/sphx_glr_plot_InteractiveVisualizations_thumb.png - :alt: Interactive visualization - - :ref:`sphx_glr_auto_examples_plot_InteractiveVisualizations.py` - -.. raw:: html - -
- - -.. toctree:: - :hidden: - - /auto_examples/plot_InteractiveVisualizations - -.. raw:: html - -
- -.. only:: html - - .. figure:: /auto_examples/images/thumb/sphx_glr_plot_ArtefactsCorrection_thumb.png - :alt: Outliers and ectobeats correction - - :ref:`sphx_glr_auto_examples_plot_ArtefactsCorrection.py` - -.. raw:: html - -
- - -.. toctree:: - :hidden: - - /auto_examples/plot_ArtefactsCorrection - -.. raw:: html - -
- -.. only:: html - - .. figure:: /auto_examples/images/thumb/sphx_glr_plot_InstantaneousHeartRate_thumb.png - :alt: Instantaneous Heart Rate - - :ref:`sphx_glr_auto_examples_plot_InstantaneousHeartRate.py` - -.. raw:: html - -
- - -.. toctree:: - :hidden: - - /auto_examples/plot_InstantaneousHeartRate - -.. raw:: html - -
- -.. only:: html - - .. figure:: /auto_examples/images/thumb/sphx_glr_Tutorial_recording_thumb.png - :alt: Recording PPG signal - - :ref:`sphx_glr_auto_examples_Tutorial_recording.py` - -.. raw:: html - -
- - -.. toctree:: - :hidden: - - /auto_examples/Tutorial_recording - -.. raw:: html - -
- -.. only:: html - - .. figure:: /auto_examples/images/thumb/sphx_glr_plot_HeartBeatEvokedArpeggios_thumb.png - :alt: Heartbeat Evoked Arpeggios - - :ref:`sphx_glr_auto_examples_plot_HeartBeatEvokedArpeggios.py` - -.. raw:: html - -
- - -.. toctree:: - :hidden: - - /auto_examples/plot_HeartBeatEvokedArpeggios -.. raw:: html - -
- - - -.. only :: html - - .. container:: sphx-glr-footer - :class: sphx-glr-footer-gallery - - - .. container:: sphx-glr-download sphx-glr-download-python - - :download:`Download all examples in Python source code: auto_examples_python.zip ` - - - - .. container:: sphx-glr-download sphx-glr-download-jupyter - - :download:`Download all examples in Jupyter notebooks: auto_examples_jupyter.zip ` - - -.. only:: html - - .. rst-class:: sphx-glr-signature - - `Gallery generated by Sphinx-Gallery `_ diff --git a/source/auto_examples/plot_ArtefactsCorrection.ipynb b/source/auto_examples/plot_ArtefactsCorrection.ipynb deleted file mode 100644 index ac2c3ed4..00000000 --- a/source/auto_examples/plot_ArtefactsCorrection.ipynb +++ /dev/null @@ -1,108 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "%matplotlib inline" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "\n# Outliers and ectobeats correction\n\nHere, we describe two method for artefacts and outliers correction, after\ndetection using the method proposed by Lipponen & Tarvainen (2019) [#]_.\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# Author: Nicolas Legrand \n# Licence: GPL v3\n\n# Two approaches for artefacts correction are proposed:\n# * `correct_peaks()` will find and correct artefacts in a boolean peaks\n# vector, thus ensuring the length of recording remain constant and corrected\n# peaks fit the signal sampling rate. This method is more adapted to\n# event-related cardiac activity designs.\n\n# * `correct_rr()` will find and correct artefacts in the RR time series. The\n# signal length will possibly change after the interpolation of long, short or\n# ectopic beats. This method is more relevant for HRV analyse of long recording\n# where the timing of experimental events is not important.\n\nimport matplotlib.pyplot as plt" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "import numpy as np\n\nfrom systole import simulate_rr\nfrom systole.correction import correct_peaks, correct_rr\nfrom systole.plotting import plot_subspaces" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "#############################\n\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "peaks = simulate_rr(as_peaks=True)\npeaks_correction = correct_peaks(peaks)\npeaks_correction" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "#############################\n\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "rr = simulate_rr()\nrr_correction = correct_rr(rr)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## References\n.. [#] Lipponen, J. A., & Tarvainen, M. P. (2019). A robust algorithm for\n heart rate variability time series artefact correction using novel\n beat classification. Journal of Medical Engineering & Technology,\n 43(3), 173\u2013181. https://doi.org/10.1080/03091902.2019.1640306\n\n" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.7.9" - } - }, - "nbformat": 4, - "nbformat_minor": 0 -} \ No newline at end of file diff --git a/source/auto_examples/plot_ArtefactsCorrection.py b/source/auto_examples/plot_ArtefactsCorrection.py deleted file mode 100644 index 86fe1b80..00000000 --- a/source/auto_examples/plot_ArtefactsCorrection.py +++ /dev/null @@ -1,49 +0,0 @@ -""" -Outliers and ectobeats correction -================================= - -Here, we describe two method for artefacts and outliers correction, after -detection using the method proposed by Lipponen & Tarvainen (2019) [#]_. -""" - -# Author: Nicolas Legrand -# Licence: GPL v3 - -# Two approaches for artefacts correction are proposed: -# * `correct_peaks()` will find and correct artefacts in a boolean peaks -# vector, thus ensuring the length of recording remain constant and corrected -# peaks fit the signal sampling rate. This method is more adapted to -# event-related cardiac activity designs. - -# * `correct_rr()` will find and correct artefacts in the RR time series. The -# signal length will possibly change after the interpolation of long, short or -# ectopic beats. This method is more relevant for HRV analyse of long recording -# where the timing of experimental events is not important. - -import matplotlib.pyplot as plt -#%% -import numpy as np - -from systole import simulate_rr -from systole.correction import correct_peaks, correct_rr -from systole.plotting import plot_subspaces - -#%% Method 1 - Peaks correction -# ############################# - -peaks = simulate_rr(as_peaks=True) -peaks_correction = correct_peaks(peaks) -peaks_correction - -#%% Method 2 - RR correction -# ############################# -rr = simulate_rr() -rr_correction = correct_rr(rr) - -#%% -# References -# ---------- -# .. [#] Lipponen, J. A., & Tarvainen, M. P. (2019). A robust algorithm for -# heart rate variability time series artefact correction using novel -# beat classification. Journal of Medical Engineering & Technology, -# 43(3), 173–181. https://doi.org/10.1080/03091902.2019.1640306 diff --git a/source/auto_examples/plot_ArtefactsCorrection.py.md5 b/source/auto_examples/plot_ArtefactsCorrection.py.md5 deleted file mode 100644 index 48fd0b2b..00000000 --- a/source/auto_examples/plot_ArtefactsCorrection.py.md5 +++ /dev/null @@ -1 +0,0 @@ -3aef4defe652fe63c7a1eda1c7f030b5 \ No newline at end of file diff --git a/source/auto_examples/plot_ArtefactsCorrection.rst b/source/auto_examples/plot_ArtefactsCorrection.rst deleted file mode 100644 index e5831943..00000000 --- a/source/auto_examples/plot_ArtefactsCorrection.rst +++ /dev/null @@ -1,157 +0,0 @@ - -.. DO NOT EDIT. -.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY. -.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE: -.. "auto_examples\plot_ArtefactsCorrection.py" -.. LINE NUMBERS ARE GIVEN BELOW. - -.. only:: html - - .. note:: - :class: sphx-glr-download-link-note - - Click :ref:`here ` - to download the full example code - -.. rst-class:: sphx-glr-example-title - -.. _sphx_glr_auto_examples_plot_ArtefactsCorrection.py: - - -Outliers and ectobeats correction -================================= - -Here, we describe two method for artefacts and outliers correction, after -detection using the method proposed by Lipponen & Tarvainen (2019) [#]_. - -.. GENERATED FROM PYTHON SOURCE LINES 8-24 - -.. code-block:: default - - - # Author: Nicolas Legrand - # Licence: GPL v3 - - # Two approaches for artefacts correction are proposed: - # * `correct_peaks()` will find and correct artefacts in a boolean peaks - # vector, thus ensuring the length of recording remain constant and corrected - # peaks fit the signal sampling rate. This method is more adapted to - # event-related cardiac activity designs. - - # * `correct_rr()` will find and correct artefacts in the RR time series. The - # signal length will possibly change after the interpolation of long, short or - # ectopic beats. This method is more relevant for HRV analyse of long recording - # where the timing of experimental events is not important. - - import matplotlib.pyplot as plt - - - - - - - -.. GENERATED FROM PYTHON SOURCE LINES 25-31 - -.. code-block:: default - - import numpy as np - - from systole import simulate_rr - from systole.correction import correct_peaks, correct_rr - from systole.plotting import plot_subspaces - - - - - - - - -.. GENERATED FROM PYTHON SOURCE LINES 32-33 - -############################# - -.. GENERATED FROM PYTHON SOURCE LINES 33-38 - -.. code-block:: default - - - peaks = simulate_rr(as_peaks=True) - peaks_correction = correct_peaks(peaks) - peaks_correction - - - - - -.. rst-class:: sphx-glr-script-out - - Out: - - .. code-block:: none - - - {'clean_peaks': array([ True, False, False, ..., False, False, False]), 'ectopic': 0, 'short': 0, 'long': 0, 'extra': 1, 'missed': 1} - - - -.. GENERATED FROM PYTHON SOURCE LINES 39-40 - -############################# - -.. GENERATED FROM PYTHON SOURCE LINES 40-43 - -.. code-block:: default - - rr = simulate_rr() - rr_correction = correct_rr(rr) - - - - - - - - -.. GENERATED FROM PYTHON SOURCE LINES 44-50 - -References ----------- -.. [#] Lipponen, J. A., & Tarvainen, M. P. (2019). A robust algorithm for - heart rate variability time series artefact correction using novel - beat classification. Journal of Medical Engineering & Technology, - 43(3), 173–181. https://doi.org/10.1080/03091902.2019.1640306 - - -.. rst-class:: sphx-glr-timing - - **Total running time of the script:** ( 0 minutes 0.132 seconds) - - -.. _sphx_glr_download_auto_examples_plot_ArtefactsCorrection.py: - - -.. only :: html - - .. container:: sphx-glr-footer - :class: sphx-glr-footer-example - - - - .. container:: sphx-glr-download sphx-glr-download-python - - :download:`Download Python source code: plot_ArtefactsCorrection.py ` - - - - .. container:: sphx-glr-download sphx-glr-download-jupyter - - :download:`Download Jupyter notebook: plot_ArtefactsCorrection.ipynb ` - - -.. only:: html - - .. rst-class:: sphx-glr-signature - - `Gallery generated by Sphinx-Gallery `_ diff --git a/source/auto_examples/plot_ArtefactsCorrection_codeobj.pickle b/source/auto_examples/plot_ArtefactsCorrection_codeobj.pickle deleted file mode 100644 index c60e91a0..00000000 Binary files a/source/auto_examples/plot_ArtefactsCorrection_codeobj.pickle and /dev/null differ diff --git a/source/auto_examples/plot_ArtefactsDetection.ipynb b/source/auto_examples/plot_ArtefactsDetection.ipynb deleted file mode 100644 index 5b08500f..00000000 --- a/source/auto_examples/plot_ArtefactsDetection.ipynb +++ /dev/null @@ -1,133 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "%matplotlib inline" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "\n# Outliers and artefacts detection\n\nThis example shows how to detect ectopic, missed, extra, slow and long long\nfrom RR or pulse rate interval time series using the method proposed by\nLipponen & Tarvainen (2019) [#]_.\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# Author: Nicolas Legrand \n# Licence: GPL v3" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "from systole.detection import rr_artefacts\nfrom systole.plotting import plot_subspaces\nfrom systole.utils import simulate_rr" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## RR artefacts\nThe proposed method will detect 4 kinds of artefacts in an RR time series:\nMissed R peaks, when an existing R component was erroneously NOT detected by\nthe algorithm.\n* Extra R peaks, when an R peak was detected but does not exist in the\nsignal.\n* Long or short interval intervals, when R peaks are correctly detected but\nthe resulting interval has extreme value in the overall time-series.\n* Ectopic beats, due to disturbance of the cardiac rhythm when the heart\neither skip or add an extra beat.\n* The category in which the artefact belongs will have an influence on the\ncorrection procedure (see Artefact correction).\n\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Simulate RR time series\nThis function will simulate RR time series containing ectopic, extra, missed,\nlong and short artefacts.\n\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "rr = simulate_rr()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Artefact detection\n\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "outliers = rr_artefacts(rr)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Subspaces visualization\nYou can visualize the two main subspaces and spot outliers. The left pamel\nplot subspaces that are more sensitive to ectopic beats detection. The right\npanel plot subspaces that will be more sensitive to long or short beats,\ncomprizing the extra and missed beats.\n\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "plot_subspaces(rr)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## References\n.. [#] Lipponen, J. A., & Tarvainen, M. P. (2019). A robust algorithm for\n heart rate variability time series artefact correction using novel\n beat classification. Journal of Medical Engineering & Technology,\n 43(3), 173\u2013181. https://doi.org/10.1080/03091902.2019.1640306\n\n" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.7.9" - } - }, - "nbformat": 4, - "nbformat_minor": 0 -} \ No newline at end of file diff --git a/source/auto_examples/plot_ArtefactsDetection.py.md5 b/source/auto_examples/plot_ArtefactsDetection.py.md5 deleted file mode 100644 index 07e2582d..00000000 --- a/source/auto_examples/plot_ArtefactsDetection.py.md5 +++ /dev/null @@ -1 +0,0 @@ -4e7dc2a699048ce938dac18e50c4acef \ No newline at end of file diff --git a/source/auto_examples/plot_ArtefactsDetection.rst b/source/auto_examples/plot_ArtefactsDetection.rst deleted file mode 100644 index 87661ff2..00000000 --- a/source/auto_examples/plot_ArtefactsDetection.rst +++ /dev/null @@ -1,191 +0,0 @@ - -.. DO NOT EDIT. -.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY. -.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE: -.. "auto_examples\plot_ArtefactsDetection.py" -.. LINE NUMBERS ARE GIVEN BELOW. - -.. only:: html - - .. note:: - :class: sphx-glr-download-link-note - - Click :ref:`here ` - to download the full example code - -.. rst-class:: sphx-glr-example-title - -.. _sphx_glr_auto_examples_plot_ArtefactsDetection.py: - - -Outliers and artefacts detection -================================ - -This example shows how to detect ectopic, missed, extra, slow and long long -from RR or pulse rate interval time series using the method proposed by -Lipponen & Tarvainen (2019) [#]_. - -.. GENERATED FROM PYTHON SOURCE LINES 9-13 - -.. code-block:: default - - - # Author: Nicolas Legrand - # Licence: GPL v3 - - - - - - - - -.. GENERATED FROM PYTHON SOURCE LINES 14-18 - -.. code-block:: default - - from systole.detection import rr_artefacts - from systole.plotting import plot_subspaces - from systole.utils import simulate_rr - - - - - - - - -.. GENERATED FROM PYTHON SOURCE LINES 19-32 - -RR artefacts ------------- -The proposed method will detect 4 kinds of artefacts in an RR time series: -Missed R peaks, when an existing R component was erroneously NOT detected by -the algorithm. -* Extra R peaks, when an R peak was detected but does not exist in the -signal. -* Long or short interval intervals, when R peaks are correctly detected but -the resulting interval has extreme value in the overall time-series. -* Ectopic beats, due to disturbance of the cardiac rhythm when the heart -either skip or add an extra beat. -* The category in which the artefact belongs will have an influence on the -correction procedure (see Artefact correction). - -.. GENERATED FROM PYTHON SOURCE LINES 34-38 - -Simulate RR time series ------------------------ -This function will simulate RR time series containing ectopic, extra, missed, -long and short artefacts. - -.. GENERATED FROM PYTHON SOURCE LINES 38-41 - -.. code-block:: default - - - rr = simulate_rr() - - - - - - - - -.. GENERATED FROM PYTHON SOURCE LINES 42-44 - -Artefact detection ------------------- - -.. GENERATED FROM PYTHON SOURCE LINES 44-47 - -.. code-block:: default - - - outliers = rr_artefacts(rr) - - - - - - - - -.. GENERATED FROM PYTHON SOURCE LINES 48-54 - -Subspaces visualization ------------------------ -You can visualize the two main subspaces and spot outliers. The left pamel -plot subspaces that are more sensitive to ectopic beats detection. The right -panel plot subspaces that will be more sensitive to long or short beats, -comprizing the extra and missed beats. - -.. GENERATED FROM PYTHON SOURCE LINES 54-57 - -.. code-block:: default - - - plot_subspaces(rr) - - - - -.. image:: /auto_examples/images/sphx_glr_plot_ArtefactsDetection_001.png - :alt: Subspace 1 (ectopic beats detection), Subspace 2 (long and short beats detection) - :class: sphx-glr-single-img - - -.. rst-class:: sphx-glr-script-out - - Out: - - .. code-block:: none - - - array([, - ], - dtype=object) - - - -.. GENERATED FROM PYTHON SOURCE LINES 58-64 - -References ----------- -.. [#] Lipponen, J. A., & Tarvainen, M. P. (2019). A robust algorithm for - heart rate variability time series artefact correction using novel - beat classification. Journal of Medical Engineering & Technology, - 43(3), 173–181. https://doi.org/10.1080/03091902.2019.1640306 - - -.. rst-class:: sphx-glr-timing - - **Total running time of the script:** ( 0 minutes 1.520 seconds) - - -.. _sphx_glr_download_auto_examples_plot_ArtefactsDetection.py: - - -.. only :: html - - .. container:: sphx-glr-footer - :class: sphx-glr-footer-example - - - - .. container:: sphx-glr-download sphx-glr-download-python - - :download:`Download Python source code: plot_ArtefactsDetection.py ` - - - - .. container:: sphx-glr-download sphx-glr-download-jupyter - - :download:`Download Jupyter notebook: plot_ArtefactsDetection.ipynb ` - - -.. only:: html - - .. rst-class:: sphx-glr-signature - - `Gallery generated by Sphinx-Gallery `_ diff --git a/source/auto_examples/plot_ArtefactsDetection_codeobj.pickle b/source/auto_examples/plot_ArtefactsDetection_codeobj.pickle deleted file mode 100644 index ca140d90..00000000 Binary files a/source/auto_examples/plot_ArtefactsDetection_codeobj.pickle and /dev/null differ diff --git a/source/auto_examples/plot_HeartBeatEvokedArpeggios.ipynb b/source/auto_examples/plot_HeartBeatEvokedArpeggios.ipynb deleted file mode 100644 index 2cb1fc7b..00000000 --- a/source/auto_examples/plot_HeartBeatEvokedArpeggios.ipynb +++ /dev/null @@ -1,158 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "%matplotlib inline" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "\n# Heartbeat Evoked Arpeggios\n\nThis tutorial illustrates how to use the ``Oximeter`` class to trigger stimuli\nat different phases of the cardiac cycle using the [Psychopy](https://www.psychopy.org/)\ntoolbox. The PPG signal is recorded for 30 seconds and peaks are detected\nonline. Four notes ('C', 'E', 'G', 'Bfl') are played in synch with peak\ndetection with various delays: no delay, 1/4, 2/4 or 3/4 of the previous\ncardiac cycle length. While R-R intervals are prone to large changes over longer\ntimescales, such changes are physiologically limited from one heartbeat to the next,\nlimiting variance in the onset synchrony between the tones and the cardiac cycle.\nOn this basis, each presentation time is calibrated based on the previous RR-interval.\nThis procedure can easily be adapted to create a standard interoception task, e.g. by either presenting\ntones at no delay (systole, s+) or at a fixed offset (diastole, s-).\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# Author: Nicolas Legrand \n# Licence: GPL v3\n\nimport itertools\nimport time\n\nimport matplotlib.pyplot as plt\nimport numpy as np\nimport seaborn as sns\nfrom psychopy.sound import Sound\n\nfrom systole import serialSim\nfrom systole.plotting import circular\nfrom systole.recording import Oximeter\nfrom systole.utils import norm_triggers, to_angles" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Recording\nFor the purpose of demonstration, here we simulate data acquisition through\nthe pulse oximeter using pre-recorded signal.\n\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "ser = serialSim()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "If you want to allow online data acquisition, you should uncomment the\nfollowing lines and provide the reference of the COM port where the pulse\noximeter is plugged in.\n\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - ".. code-block:: python\n\n import serial\n ser = serial.Serial('COM4') # Change this value according to your setup\n\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Create an Oximeter instance, initialize recording and record for 10 seconds\n\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "oxi = Oximeter(serial=ser, sfreq=75, add_channels=4).setup()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Create an Oxymeter instance, initialize recording and record for 10 seconds\n\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "beat = Sound(\"C\", secs=0.1)\ndiastole1 = Sound(\"E\", secs=0.1)\ndiastole2 = Sound(\"G\", secs=0.1)\ndiastole3 = Sound(\"Bfl\", secs=0.1)\n\nsystoleTime1, systoleTime2, systoleTime3 = None, None, None\ntstart = time.time()\nwhile time.time() - tstart < 30:\n\n # Check if there are new data to read\n while oxi.serial.inWaiting() >= 5:\n\n # Convert bytes into list of int\n paquet = list(oxi.serial.read(5))\n\n if oxi.check(paquet): # Data consistency\n oxi.add_paquet(paquet[2]) # Add new data point\n\n # T + 0\n if oxi.peaks[-1] == 1:\n beat = Sound(\"C\", secs=0.1)\n beat.play()\n systoleTime1 = time.time()\n systoleTime2 = time.time()\n systoleTime3 = time.time()\n\n # T + 1/4\n if systoleTime1 is not None:\n if time.time() - systoleTime1 >= ((oxi.instant_rr[-1] / 4) / 1000):\n diastole1 = Sound(\"E\", secs=0.1)\n diastole1.play()\n systoleTime1 = None\n\n # T + 2/4\n if systoleTime2 is not None:\n if time.time() - systoleTime2 >= (((oxi.instant_rr[-1] / 4) * 2) / 1000):\n diastole2 = Sound(\"G\", secs=0.1)\n diastole2.play()\n systoleTime2 = None\n\n # T + 3/4\n if systoleTime3 is not None:\n if time.time() - systoleTime3 >= (((oxi.instant_rr[-1] / 4) * 3) / 1000):\n diastole3 = Sound(\"A\", secs=0.1)\n diastole3.play()\n systoleTime3 = None\n\n # Track the note status\n oxi.channels[\"Channel_0\"][-1] = beat.status\n oxi.channels[\"Channel_1\"][-1] = diastole1.status\n oxi.channels[\"Channel_2\"][-1] = diastole2.status\n oxi.channels[\"Channel_3\"][-1] = diastole3.status" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Events\n\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "f, (ax1, ax2) = plt.subplots(2, 1, figsize=(12, 5), sharex=True)\noxi.plot_recording(ax=ax1)\noxi.plot_events(ax=ax2)\nplt.tight_layout()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Cardiac cycle\n\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "angles = []\nx = np.asarray(oxi.peaks)\nfor ev in oxi.channels:\n events = norm_triggers(\n np.asarray(oxi.channels[ev]), threshold=1, n=40, direction=\"higher\"\n )\n angles.append(to_angles(np.where(x)[0], np.where(events)[0]))\n\npalette = itertools.cycle(sns.color_palette(\"deep\"))\nax = plt.subplot(111, polar=True)\nfor i in angles:\n circular(i, color=next(palette), ax=ax)" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.7.9" - } - }, - "nbformat": 4, - "nbformat_minor": 0 -} \ No newline at end of file diff --git a/source/auto_examples/plot_HeartBeatEvokedArpeggios.py b/source/auto_examples/plot_HeartBeatEvokedArpeggios.py deleted file mode 100644 index af7981e1..00000000 --- a/source/auto_examples/plot_HeartBeatEvokedArpeggios.py +++ /dev/null @@ -1,138 +0,0 @@ -""" -Heartbeat Evoked Arpeggios -============================ - -This tutorial illustrates how to use the ``Oximeter`` class to trigger stimuli -at different phases of the cardiac cycle using the [Psychopy](https://www.psychopy.org/) -toolbox. The PPG signal is recorded for 30 seconds and peaks are detected -online. Four notes ('C', 'E', 'G', 'Bfl') are played in synch with peak -detection with various delays: no delay, 1/4, 2/4 or 3/4 of the previous -cardiac cycle length. While R-R intervals are prone to large changes over longer -timescales, such changes are physiologically limited from one heartbeat to the next, -limiting variance in the onset synchrony between the tones and the cardiac cycle. -On this basis, each presentation time is calibrated based on the previous RR-interval. -This procedure can easily be adapted to create a standard interoception task, e.g. by either presenting -tones at no delay (systole, s+) or at a fixed offset (diastole, s-). -""" - -# Author: Nicolas Legrand -# Licence: GPL v3 - -import itertools -import time - -import matplotlib.pyplot as plt -import numpy as np -import seaborn as sns -from psychopy.sound import Sound - -from systole import serialSim -from systole.plotting import circular -from systole.recording import Oximeter -from systole.utils import norm_triggers, to_angles - -#%% -# Recording -# --------- -# For the purpose of demonstration, here we simulate data acquisition through -# the pulse oximeter using pre-recorded signal. - -ser = serialSim() - -#%% -# If you want to allow online data acquisition, you should uncomment the -# following lines and provide the reference of the COM port where the pulse -# oximeter is plugged in. - -############################################################################### -# .. code-block:: python -# -# import serial -# ser = serial.Serial('COM4') # Change this value according to your setup - -#%% -# Create an Oximeter instance, initialize recording and record for 10 seconds - -oxi = Oximeter(serial=ser, sfreq=75, add_channels=4).setup() - -#%% -# Create an Oxymeter instance, initialize recording and record for 10 seconds - -beat = Sound("C", secs=0.1) -diastole1 = Sound("E", secs=0.1) -diastole2 = Sound("G", secs=0.1) -diastole3 = Sound("Bfl", secs=0.1) - -systoleTime1, systoleTime2, systoleTime3 = None, None, None -tstart = time.time() -while time.time() - tstart < 30: - - # Check if there are new data to read - while oxi.serial.inWaiting() >= 5: - - # Convert bytes into list of int - paquet = list(oxi.serial.read(5)) - - if oxi.check(paquet): # Data consistency - oxi.add_paquet(paquet[2]) # Add new data point - - # T + 0 - if oxi.peaks[-1] == 1: - beat = Sound("C", secs=0.1) - beat.play() - systoleTime1 = time.time() - systoleTime2 = time.time() - systoleTime3 = time.time() - - # T + 1/4 - if systoleTime1 is not None: - if time.time() - systoleTime1 >= ((oxi.instant_rr[-1] / 4) / 1000): - diastole1 = Sound("E", secs=0.1) - diastole1.play() - systoleTime1 = None - - # T + 2/4 - if systoleTime2 is not None: - if time.time() - systoleTime2 >= (((oxi.instant_rr[-1] / 4) * 2) / 1000): - diastole2 = Sound("G", secs=0.1) - diastole2.play() - systoleTime2 = None - - # T + 3/4 - if systoleTime3 is not None: - if time.time() - systoleTime3 >= (((oxi.instant_rr[-1] / 4) * 3) / 1000): - diastole3 = Sound("A", secs=0.1) - diastole3.play() - systoleTime3 = None - - # Track the note status - oxi.channels["Channel_0"][-1] = beat.status - oxi.channels["Channel_1"][-1] = diastole1.status - oxi.channels["Channel_2"][-1] = diastole2.status - oxi.channels["Channel_3"][-1] = diastole3.status - -#%% -# Events -# -------- - -f, (ax1, ax2) = plt.subplots(2, 1, figsize=(12, 5), sharex=True) -oxi.plot_recording(ax=ax1) -oxi.plot_events(ax=ax2) -plt.tight_layout() - -#%% -# Cardiac cycle -# ------------- - -angles = [] -x = np.asarray(oxi.peaks) -for ev in oxi.channels: - events = norm_triggers( - np.asarray(oxi.channels[ev]), threshold=1, n=40, direction="higher" - ) - angles.append(to_angles(np.where(x)[0], np.where(events)[0])) - -palette = itertools.cycle(sns.color_palette("deep")) -ax = plt.subplot(111, polar=True) -for i in angles: - circular(i, color=next(palette), ax=ax) diff --git a/source/auto_examples/plot_HeartBeatEvokedArpeggios.py.md5 b/source/auto_examples/plot_HeartBeatEvokedArpeggios.py.md5 deleted file mode 100644 index 5e585e14..00000000 --- a/source/auto_examples/plot_HeartBeatEvokedArpeggios.py.md5 +++ /dev/null @@ -1 +0,0 @@ -b3a99b467f1d4d705f9233756f6a06d8 \ No newline at end of file diff --git a/source/auto_examples/plot_HeartBeatEvokedArpeggios.rst b/source/auto_examples/plot_HeartBeatEvokedArpeggios.rst deleted file mode 100644 index f681d86d..00000000 --- a/source/auto_examples/plot_HeartBeatEvokedArpeggios.rst +++ /dev/null @@ -1,349 +0,0 @@ - -.. DO NOT EDIT. -.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY. -.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE: -.. "auto_examples\plot_HeartBeatEvokedArpeggios.py" -.. LINE NUMBERS ARE GIVEN BELOW. - -.. only:: html - - .. note:: - :class: sphx-glr-download-link-note - - Click :ref:`here ` - to download the full example code - -.. rst-class:: sphx-glr-example-title - -.. _sphx_glr_auto_examples_plot_HeartBeatEvokedArpeggios.py: - - -Heartbeat Evoked Arpeggios -============================ - -This tutorial illustrates how to use the ``Oximeter`` class to trigger stimuli -at different phases of the cardiac cycle using the [Psychopy](https://www.psychopy.org/) -toolbox. The PPG signal is recorded for 30 seconds and peaks are detected -online. Four notes ('C', 'E', 'G', 'Bfl') are played in synch with peak -detection with various delays: no delay, 1/4, 2/4 or 3/4 of the previous -cardiac cycle length. While R-R intervals are prone to large changes over longer -timescales, such changes are physiologically limited from one heartbeat to the next, -limiting variance in the onset synchrony between the tones and the cardiac cycle. -On this basis, each presentation time is calibrated based on the previous RR-interval. -This procedure can easily be adapted to create a standard interoception task, e.g. by either presenting -tones at no delay (systole, s+) or at a fixed offset (diastole, s-). - -.. GENERATED FROM PYTHON SOURCE LINES 17-34 - -.. code-block:: default - - - # Author: Nicolas Legrand - # Licence: GPL v3 - - import itertools - import time - - import matplotlib.pyplot as plt - import numpy as np - import seaborn as sns - from psychopy.sound import Sound - - from systole import serialSim - from systole.plotting import circular - from systole.recording import Oximeter - from systole.utils import norm_triggers, to_angles - - - - - -.. rst-class:: sphx-glr-script-out - - Out: - - .. code-block:: none - - c:\programdata\anaconda3\lib\site-packages\seaborn\cm.py:1582: UserWarning: - - Trying to register the cmap 'rocket' which already exists. - - c:\programdata\anaconda3\lib\site-packages\seaborn\cm.py:1583: UserWarning: - - Trying to register the cmap 'rocket_r' which already exists. - - c:\programdata\anaconda3\lib\site-packages\seaborn\cm.py:1582: UserWarning: - - Trying to register the cmap 'mako' which already exists. - - c:\programdata\anaconda3\lib\site-packages\seaborn\cm.py:1583: UserWarning: - - Trying to register the cmap 'mako_r' which already exists. - - c:\programdata\anaconda3\lib\site-packages\seaborn\cm.py:1582: UserWarning: - - Trying to register the cmap 'icefire' which already exists. - - c:\programdata\anaconda3\lib\site-packages\seaborn\cm.py:1583: UserWarning: - - Trying to register the cmap 'icefire_r' which already exists. - - c:\programdata\anaconda3\lib\site-packages\seaborn\cm.py:1582: UserWarning: - - Trying to register the cmap 'vlag' which already exists. - - c:\programdata\anaconda3\lib\site-packages\seaborn\cm.py:1583: UserWarning: - - Trying to register the cmap 'vlag_r' which already exists. - - c:\programdata\anaconda3\lib\site-packages\seaborn\cm.py:1582: UserWarning: - - Trying to register the cmap 'flare' which already exists. - - c:\programdata\anaconda3\lib\site-packages\seaborn\cm.py:1583: UserWarning: - - Trying to register the cmap 'flare_r' which already exists. - - c:\programdata\anaconda3\lib\site-packages\seaborn\cm.py:1582: UserWarning: - - Trying to register the cmap 'crest' which already exists. - - c:\programdata\anaconda3\lib\site-packages\seaborn\cm.py:1583: UserWarning: - - Trying to register the cmap 'crest_r' which already exists. - - - - - -.. GENERATED FROM PYTHON SOURCE LINES 35-39 - -Recording ---------- -For the purpose of demonstration, here we simulate data acquisition through -the pulse oximeter using pre-recorded signal. - -.. GENERATED FROM PYTHON SOURCE LINES 39-42 - -.. code-block:: default - - - ser = serialSim() - - - - - - - - -.. GENERATED FROM PYTHON SOURCE LINES 43-46 - -If you want to allow online data acquisition, you should uncomment the -following lines and provide the reference of the COM port where the pulse -oximeter is plugged in. - -.. GENERATED FROM PYTHON SOURCE LINES 48-52 - -.. code-block:: python - - import serial - ser = serial.Serial('COM4') # Change this value according to your setup - -.. GENERATED FROM PYTHON SOURCE LINES 54-55 - -Create an Oximeter instance, initialize recording and record for 10 seconds - -.. GENERATED FROM PYTHON SOURCE LINES 55-58 - -.. code-block:: default - - - oxi = Oximeter(serial=ser, sfreq=75, add_channels=4).setup() - - - - - -.. rst-class:: sphx-glr-script-out - - Out: - - .. code-block:: none - - Reset input buffer - - - - -.. GENERATED FROM PYTHON SOURCE LINES 59-60 - -Create an Oxymeter instance, initialize recording and record for 10 seconds - -.. GENERATED FROM PYTHON SOURCE LINES 60-114 - -.. code-block:: default - - - beat = Sound("C", secs=0.1) - diastole1 = Sound("E", secs=0.1) - diastole2 = Sound("G", secs=0.1) - diastole3 = Sound("Bfl", secs=0.1) - - systoleTime1, systoleTime2, systoleTime3 = None, None, None - tstart = time.time() - while time.time() - tstart < 30: - - # Check if there are new data to read - while oxi.serial.inWaiting() >= 5: - - # Convert bytes into list of int - paquet = list(oxi.serial.read(5)) - - if oxi.check(paquet): # Data consistency - oxi.add_paquet(paquet[2]) # Add new data point - - # T + 0 - if oxi.peaks[-1] == 1: - beat = Sound("C", secs=0.1) - beat.play() - systoleTime1 = time.time() - systoleTime2 = time.time() - systoleTime3 = time.time() - - # T + 1/4 - if systoleTime1 is not None: - if time.time() - systoleTime1 >= ((oxi.instant_rr[-1] / 4) / 1000): - diastole1 = Sound("E", secs=0.1) - diastole1.play() - systoleTime1 = None - - # T + 2/4 - if systoleTime2 is not None: - if time.time() - systoleTime2 >= (((oxi.instant_rr[-1] / 4) * 2) / 1000): - diastole2 = Sound("G", secs=0.1) - diastole2.play() - systoleTime2 = None - - # T + 3/4 - if systoleTime3 is not None: - if time.time() - systoleTime3 >= (((oxi.instant_rr[-1] / 4) * 3) / 1000): - diastole3 = Sound("A", secs=0.1) - diastole3.play() - systoleTime3 = None - - # Track the note status - oxi.channels["Channel_0"][-1] = beat.status - oxi.channels["Channel_1"][-1] = diastole1.status - oxi.channels["Channel_2"][-1] = diastole2.status - oxi.channels["Channel_3"][-1] = diastole3.status - - - - - - - - -.. GENERATED FROM PYTHON SOURCE LINES 115-117 - -Events --------- - -.. GENERATED FROM PYTHON SOURCE LINES 117-123 - -.. code-block:: default - - - f, (ax1, ax2) = plt.subplots(2, 1, figsize=(12, 5), sharex=True) - oxi.plot_recording(ax=ax1) - oxi.plot_events(ax=ax2) - plt.tight_layout() - - - - -.. image:: /auto_examples/images/sphx_glr_plot_HeartBeatEvokedArpeggios_001.png - :alt: Oximeter recording, Events - :class: sphx-glr-single-img - - - - - -.. GENERATED FROM PYTHON SOURCE LINES 124-126 - -Cardiac cycle -------------- - -.. GENERATED FROM PYTHON SOURCE LINES 126-139 - -.. code-block:: default - - - angles = [] - x = np.asarray(oxi.peaks) - for ev in oxi.channels: - events = norm_triggers( - np.asarray(oxi.channels[ev]), threshold=1, n=40, direction="higher" - ) - angles.append(to_angles(np.where(x)[0], np.where(events)[0])) - - palette = itertools.cycle(sns.color_palette("deep")) - ax = plt.subplot(111, polar=True) - for i in angles: - circular(i, color=next(palette), ax=ax) - - - -.. image:: /auto_examples/images/sphx_glr_plot_HeartBeatEvokedArpeggios_002.png - :alt: plot HeartBeatEvokedArpeggios - :class: sphx-glr-single-img - - -.. rst-class:: sphx-glr-script-out - - Out: - - .. code-block:: none - - c:\programdata\anaconda3\lib\site-packages\systole\plotting.py:697: UserWarning: - - FixedFormatter should only be used together with FixedLocator - - - - - - -.. rst-class:: sphx-glr-timing - - **Total running time of the script:** ( 0 minutes 41.321 seconds) - - -.. _sphx_glr_download_auto_examples_plot_HeartBeatEvokedArpeggios.py: - - -.. only :: html - - .. container:: sphx-glr-footer - :class: sphx-glr-footer-example - - - - .. container:: sphx-glr-download sphx-glr-download-python - - :download:`Download Python source code: plot_HeartBeatEvokedArpeggios.py ` - - - - .. container:: sphx-glr-download sphx-glr-download-jupyter - - :download:`Download Jupyter notebook: plot_HeartBeatEvokedArpeggios.ipynb ` - - -.. only:: html - - .. rst-class:: sphx-glr-signature - - `Gallery generated by Sphinx-Gallery `_ diff --git a/source/auto_examples/plot_HeartBeatEvokedArpeggios_codeobj.pickle b/source/auto_examples/plot_HeartBeatEvokedArpeggios_codeobj.pickle deleted file mode 100644 index ea881b4e..00000000 Binary files a/source/auto_examples/plot_HeartBeatEvokedArpeggios_codeobj.pickle and /dev/null differ diff --git a/source/auto_examples/plot_InstantaneousHeartRate.ipynb b/source/auto_examples/plot_InstantaneousHeartRate.ipynb deleted file mode 100644 index c685875a..00000000 --- a/source/auto_examples/plot_InstantaneousHeartRate.ipynb +++ /dev/null @@ -1,115 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "%matplotlib inline" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "\n# Instantaneous Heart Rate\n\nThis example show how to record PPG signals using the `Nonin 3012LP\nXpod USB pulse oximeter `_ and the `Nonin\n8000SM 'soft-clip' fingertip sensors `_.\nPeaks are automatically labelled online and the instantaneous heart rate is\nplotted.\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# Author: Nicolas Legrand \n# Licence: GPL v3\n\nimport matplotlib.pyplot as plt\nimport numpy as np\n\nfrom systole import serialSim\nfrom systole.recording import Oximeter\nfrom systole.utils import heart_rate" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Recording\nFor the demonstration purpose, here we simulate data acquisition through\nthe pulse oximeter using pre-recorded signal.\n\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "ser = serialSim()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "If you want to enable online data acquisition, you should uncomment the\nfollowing lines and provide the reference of the COM port where the pulse\noximeter is plugged in.\n\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - ".. code-block:: python\n\n import serial\n ser = serial.Serial('COM4') # Change this value according to your setup\n\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# Create an Oxymeter instance, initialize recording and record for 10 seconds\noxi = Oximeter(serial=ser, sfreq=75).setup()\noxi.read(30)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Plotting\n\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "fig, ax = plt.subplots(3, 1, figsize=(13, 8), sharex=True)\noxi.plot_recording(ax=ax[0])\n\nax[1].plot(oxi.times, oxi.peaks, \"k\")\nax[1].set_title(\"Peaks vector\", fontweight=\"bold\")\nax[1].set_xlabel(\"Time (s)\")\nax[1].set_ylabel(\"Peak\\n detection\")\n\n\nhr, time = heart_rate(oxi.peaks, sfreq=75, unit=\"rr\", kind=\"cubic\")\nax[2].plot(time, hr, label=\"Interpolated HR\", linestyle=\"--\", color=\"gray\")\nax[2].plot(\n np.array(oxi.times)[np.where(oxi.peaks)[0]],\n hr[np.where(oxi.peaks)[0]],\n \"ro\",\n label=\"Instantaneous HR\",\n)\nax[2].set_xlabel(\"Time (s)\")\nax[2].set_title(\"Instantaneous Heart Rate\", fontweight=\"bold\")\nax[2].set_ylabel(\"RR intervals (ms)\")\n\nplt.tight_layout()" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.7.9" - } - }, - "nbformat": 4, - "nbformat_minor": 0 -} \ No newline at end of file diff --git a/source/auto_examples/plot_InstantaneousHeartRate.py.md5 b/source/auto_examples/plot_InstantaneousHeartRate.py.md5 deleted file mode 100644 index ffacad5c..00000000 --- a/source/auto_examples/plot_InstantaneousHeartRate.py.md5 +++ /dev/null @@ -1 +0,0 @@ -bab8f131b47340be7647609e2fbff9e0 \ No newline at end of file diff --git a/source/auto_examples/plot_InstantaneousHeartRate.rst b/source/auto_examples/plot_InstantaneousHeartRate.rst deleted file mode 100644 index d83201d9..00000000 --- a/source/auto_examples/plot_InstantaneousHeartRate.rst +++ /dev/null @@ -1,184 +0,0 @@ - -.. DO NOT EDIT. -.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY. -.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE: -.. "auto_examples\plot_InstantaneousHeartRate.py" -.. LINE NUMBERS ARE GIVEN BELOW. - -.. only:: html - - .. note:: - :class: sphx-glr-download-link-note - - Click :ref:`here ` - to download the full example code - -.. rst-class:: sphx-glr-example-title - -.. _sphx_glr_auto_examples_plot_InstantaneousHeartRate.py: - - -Instantaneous Heart Rate -======================== - -This example show how to record PPG signals using the `Nonin 3012LP -Xpod USB pulse oximeter `_ and the `Nonin -8000SM 'soft-clip' fingertip sensors `_. -Peaks are automatically labelled online and the instantaneous heart rate is -plotted. - -.. GENERATED FROM PYTHON SOURCE LINES 11-22 - -.. code-block:: default - - - # Author: Nicolas Legrand - # Licence: GPL v3 - - import matplotlib.pyplot as plt - import numpy as np - - from systole import serialSim - from systole.recording import Oximeter - from systole.utils import heart_rate - - - - - - - - -.. GENERATED FROM PYTHON SOURCE LINES 23-27 - -Recording ---------- -For the demonstration purpose, here we simulate data acquisition through -the pulse oximeter using pre-recorded signal. - -.. GENERATED FROM PYTHON SOURCE LINES 27-30 - -.. code-block:: default - - - ser = serialSim() - - - - - - - - -.. GENERATED FROM PYTHON SOURCE LINES 31-34 - -If you want to enable online data acquisition, you should uncomment the -following lines and provide the reference of the COM port where the pulse -oximeter is plugged in. - -.. GENERATED FROM PYTHON SOURCE LINES 36-40 - -.. code-block:: python - - import serial - ser = serial.Serial('COM4') # Change this value according to your setup - -.. GENERATED FROM PYTHON SOURCE LINES 40-45 - -.. code-block:: default - - - # Create an Oxymeter instance, initialize recording and record for 10 seconds - oxi = Oximeter(serial=ser, sfreq=75).setup() - oxi.read(30) - - - - - -.. rst-class:: sphx-glr-script-out - - Out: - - .. code-block:: none - - Reset input buffer - - - - - -.. GENERATED FROM PYTHON SOURCE LINES 46-48 - -Plotting --------- - -.. GENERATED FROM PYTHON SOURCE LINES 48-70 - -.. code-block:: default - - fig, ax = plt.subplots(3, 1, figsize=(13, 8), sharex=True) - oxi.plot_recording(ax=ax[0]) - - ax[1].plot(oxi.times, oxi.peaks, "k") - ax[1].set_title("Peaks vector", fontweight="bold") - ax[1].set_xlabel("Time (s)") - ax[1].set_ylabel("Peak\n detection") - - - hr, time = heart_rate(oxi.peaks, sfreq=75, unit="rr", kind="cubic") - ax[2].plot(time, hr, label="Interpolated HR", linestyle="--", color="gray") - ax[2].plot( - np.array(oxi.times)[np.where(oxi.peaks)[0]], - hr[np.where(oxi.peaks)[0]], - "ro", - label="Instantaneous HR", - ) - ax[2].set_xlabel("Time (s)") - ax[2].set_title("Instantaneous Heart Rate", fontweight="bold") - ax[2].set_ylabel("RR intervals (ms)") - - plt.tight_layout() - - - -.. image:: /auto_examples/images/sphx_glr_plot_InstantaneousHeartRate_001.png - :alt: Oximeter recording, Peaks vector, Instantaneous Heart Rate - :class: sphx-glr-single-img - - - - - - -.. rst-class:: sphx-glr-timing - - **Total running time of the script:** ( 0 minutes 32.270 seconds) - - -.. _sphx_glr_download_auto_examples_plot_InstantaneousHeartRate.py: - - -.. only :: html - - .. container:: sphx-glr-footer - :class: sphx-glr-footer-example - - - - .. container:: sphx-glr-download sphx-glr-download-python - - :download:`Download Python source code: plot_InstantaneousHeartRate.py ` - - - - .. container:: sphx-glr-download sphx-glr-download-jupyter - - :download:`Download Jupyter notebook: plot_InstantaneousHeartRate.ipynb ` - - -.. only:: html - - .. rst-class:: sphx-glr-signature - - `Gallery generated by Sphinx-Gallery `_ diff --git a/source/auto_examples/plot_InstantaneousHeartRate_codeobj.pickle b/source/auto_examples/plot_InstantaneousHeartRate_codeobj.pickle deleted file mode 100644 index 7b461f2f..00000000 Binary files a/source/auto_examples/plot_InstantaneousHeartRate_codeobj.pickle and /dev/null differ diff --git a/source/auto_examples/plot_InteractiveVisualizations.ipynb b/source/auto_examples/plot_InteractiveVisualizations.ipynb deleted file mode 100644 index 720e98e7..00000000 --- a/source/auto_examples/plot_InteractiveVisualizations.ipynb +++ /dev/null @@ -1,191 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "%matplotlib inline" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "\n# Interactive visualization\n\nThe pipeline of physiological recording can often benefiit from\ninteractive data visualization and exploration to guide data analysis. Systole\ninclude functions build on the top of Plotly (https://plotly.com/) for\ninteractive data visualization and dashboard integration\n(https://plotly.com/dash/).\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# Author: Nicolas Legrand \n# Licence: GPL v3" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "import plotly\n\nfrom systole import import_ppg, import_rr\nfrom systole.detection import rr_artefacts\nfrom systole.plotly import (\n plot_frequency,\n plot_nonlinear,\n plot_raw,\n plot_subspaces,\n plot_timedomain,\n)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Raw data\n\n\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "ppg = import_ppg()\nplot_raw(ppg)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## HRV analyses\n\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "rr = import_rr().rr.values" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Frequency domain\n\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "plot1 = plot_timedomain(rr)\nplotly.io.show(plot1)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Frequency domain\n\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "plot2 = plot_frequency(rr)\nplotly.io.show(plot2)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Nonlinear domain\n\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "plot3 = plot_nonlinear(rr)\nplotly.io.show(plot3)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Artefact detection\n\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "artefacts = rr_artefacts(rr)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Subspaces visualization\nYou can visualize the two main subspaces and spot outliers. The left pamel\nplot subspaces that are more sensitive to ectopic beats detection. The right\npanel plot subspaces that will be more sensitive to long or short beats,\ncomprizing the extra and missed beats.\n\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "plot_subspaces(rr)" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.7.9" - } - }, - "nbformat": 4, - "nbformat_minor": 0 -} \ No newline at end of file diff --git a/source/auto_examples/plot_InteractiveVisualizations.py b/source/auto_examples/plot_InteractiveVisualizations.py deleted file mode 100644 index 7d82a967..00000000 --- a/source/auto_examples/plot_InteractiveVisualizations.py +++ /dev/null @@ -1,73 +0,0 @@ -""" -Interactive visualization -========================= - -The pipeline of physiological recording can often benefiit from -interactive data visualization and exploration to guide data analysis. Systole -include functions build on the top of Plotly (https://plotly.com/) for -interactive data visualization and dashboard integration -(https://plotly.com/dash/). -""" - -# Author: Nicolas Legrand -# Licence: GPL v3 - -#%% -import plotly - -from systole import import_ppg, import_rr -from systole.detection import rr_artefacts -from systole.plotly import ( - plot_frequency, - plot_nonlinear, - plot_raw, - plot_subspaces, - plot_timedomain, -) - -#%% -# Raw data -# -------- -# -ppg = import_ppg() -plot_raw(ppg) - -#%% -# HRV analyses -# ------------ - -rr = import_rr().rr.values - -#%% -# Frequency domain -# ---------------- -plot1 = plot_timedomain(rr) -plotly.io.show(plot1) - -#%% -# Frequency domain -# ---------------- -plot2 = plot_frequency(rr) -plotly.io.show(plot2) - -#%% -# Nonlinear domain -# ---------------- -plot3 = plot_nonlinear(rr) -plotly.io.show(plot3) - -#%% -# Artefact detection -# ------------------ - -artefacts = rr_artefacts(rr) - -#%% -# Subspaces visualization -# ----------------------- -# You can visualize the two main subspaces and spot outliers. The left pamel -# plot subspaces that are more sensitive to ectopic beats detection. The right -# panel plot subspaces that will be more sensitive to long or short beats, -# comprizing the extra and missed beats. - -plot_subspaces(rr) diff --git a/source/auto_examples/plot_InteractiveVisualizations.py.md5 b/source/auto_examples/plot_InteractiveVisualizations.py.md5 deleted file mode 100644 index 88d2919e..00000000 --- a/source/auto_examples/plot_InteractiveVisualizations.py.md5 +++ /dev/null @@ -1 +0,0 @@ -de495e58aace86865c15275ef84c8cc7 \ No newline at end of file diff --git a/source/auto_examples/plot_InteractiveVisualizations.rst b/source/auto_examples/plot_InteractiveVisualizations.rst deleted file mode 100644 index 3e355857..00000000 --- a/source/auto_examples/plot_InteractiveVisualizations.rst +++ /dev/null @@ -1,259 +0,0 @@ - -.. DO NOT EDIT. -.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY. -.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE: -.. "auto_examples\plot_InteractiveVisualizations.py" -.. LINE NUMBERS ARE GIVEN BELOW. - -.. only:: html - - .. note:: - :class: sphx-glr-download-link-note - - Click :ref:`here ` - to download the full example code - -.. rst-class:: sphx-glr-example-title - -.. _sphx_glr_auto_examples_plot_InteractiveVisualizations.py: - - -Interactive visualization -========================= - -The pipeline of physiological recording can often benefiit from -interactive data visualization and exploration to guide data analysis. Systole -include functions build on the top of Plotly (https://plotly.com/) for -interactive data visualization and dashboard integration -(https://plotly.com/dash/). - -.. GENERATED FROM PYTHON SOURCE LINES 11-15 - -.. code-block:: default - - - # Author: Nicolas Legrand - # Licence: GPL v3 - - - - - - - - -.. GENERATED FROM PYTHON SOURCE LINES 16-28 - -.. code-block:: default - - import plotly - - from systole import import_ppg, import_rr - from systole.detection import rr_artefacts - from systole.plotly import ( - plot_frequency, - plot_nonlinear, - plot_raw, - plot_subspaces, - plot_timedomain, - ) - - - - - - - - -.. GENERATED FROM PYTHON SOURCE LINES 29-32 - -Raw data --------- - - -.. GENERATED FROM PYTHON SOURCE LINES 32-35 - -.. code-block:: default - - ppg = import_ppg() - plot_raw(ppg) - - - - - - -.. raw:: html - -
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- -.. GENERATED FROM PYTHON SOURCE LINES 36-38 - -HRV analyses ------------- - -.. GENERATED FROM PYTHON SOURCE LINES 38-41 - -.. code-block:: default - - - rr = import_rr().rr.values - - - - - - - - -.. GENERATED FROM PYTHON SOURCE LINES 42-44 - -Frequency domain ----------------- - -.. GENERATED FROM PYTHON SOURCE LINES 44-47 - -.. code-block:: default - - plot1 = plot_timedomain(rr) - plotly.io.show(plot1) - - - - -.. raw:: html - :file: images\sphx_glr_plot_InteractiveVisualizations_001.html - - - - - -.. GENERATED FROM PYTHON SOURCE LINES 48-50 - -Frequency domain ----------------- - -.. GENERATED FROM PYTHON SOURCE LINES 50-53 - -.. code-block:: default - - plot2 = plot_frequency(rr) - plotly.io.show(plot2) - - - - -.. raw:: html - :file: images\sphx_glr_plot_InteractiveVisualizations_002.html - - - - - -.. GENERATED FROM PYTHON SOURCE LINES 54-56 - -Nonlinear domain ----------------- - -.. GENERATED FROM PYTHON SOURCE LINES 56-59 - -.. code-block:: default - - plot3 = plot_nonlinear(rr) - plotly.io.show(plot3) - - - - -.. raw:: html - :file: images\sphx_glr_plot_InteractiveVisualizations_003.html - - - - - -.. GENERATED FROM PYTHON SOURCE LINES 60-62 - -Artefact detection ------------------- - -.. GENERATED FROM PYTHON SOURCE LINES 62-65 - -.. code-block:: default - - - artefacts = rr_artefacts(rr) - - - - - - - - -.. GENERATED FROM PYTHON SOURCE LINES 66-72 - -Subspaces visualization ------------------------ -You can visualize the two main subspaces and spot outliers. The left pamel -plot subspaces that are more sensitive to ectopic beats detection. The right -panel plot subspaces that will be more sensitive to long or short beats, -comprizing the extra and missed beats. - -.. GENERATED FROM PYTHON SOURCE LINES 72-74 - -.. code-block:: default - - - plot_subspaces(rr) - - - - - -.. raw:: html - -
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- - -.. rst-class:: sphx-glr-timing - - **Total running time of the script:** ( 0 minutes 42.377 seconds) - - -.. _sphx_glr_download_auto_examples_plot_InteractiveVisualizations.py: - - -.. only :: html - - .. container:: sphx-glr-footer - :class: sphx-glr-footer-example - - - - .. container:: sphx-glr-download sphx-glr-download-python - - :download:`Download Python source code: plot_InteractiveVisualizations.py ` - - - - .. container:: sphx-glr-download sphx-glr-download-jupyter - - :download:`Download Jupyter notebook: plot_InteractiveVisualizations.ipynb ` - - -.. only:: html - - .. rst-class:: sphx-glr-signature - - `Gallery generated by Sphinx-Gallery `_ diff --git a/source/auto_examples/plot_InteractiveVisualizations_codeobj.pickle b/source/auto_examples/plot_InteractiveVisualizations_codeobj.pickle deleted file mode 100644 index c6eeca89..00000000 Binary files a/source/auto_examples/plot_InteractiveVisualizations_codeobj.pickle and /dev/null differ diff --git a/source/auto_examples/searchindex.bak b/source/auto_examples/searchindex.bak deleted file mode 100644 index 53373078..00000000 --- a/source/auto_examples/searchindex.bak +++ /dev/null @@ -1,6 +0,0 @@ -'C:\\Users\\au646069\\github\\systole\\build\\html\\index.html', (0, 22173) -'C:\\Users\\au646069\\github\\systole\\build\\html\\_static\\documentation_options.js', (22528, 376) -'C:\\Users\\au646069\\github\\systole\\build\\html\\searchindex.js', (23040, 16953) -'C:\\Users\\au646069\\github\\systole\\build\\index.html', (40448, 22173) -'C:\\Users\\au646069\\github\\systole\\build\\_static\\documentation_options.js', (62976, 376) -'C:\\Users\\au646069\\github\\systole\\build\\searchindex.js', (63488, 17325) diff --git a/source/auto_examples/searchindex.dat b/source/auto_examples/searchindex.dat deleted file mode 100644 index e64a7036..00000000 Binary files a/source/auto_examples/searchindex.dat and /dev/null differ diff --git a/source/auto_examples/searchindex.dir b/source/auto_examples/searchindex.dir deleted file mode 100644 index 53373078..00000000 --- a/source/auto_examples/searchindex.dir +++ /dev/null @@ -1,6 +0,0 @@ -'C:\\Users\\au646069\\github\\systole\\build\\html\\index.html', (0, 22173) -'C:\\Users\\au646069\\github\\systole\\build\\html\\_static\\documentation_options.js', (22528, 376) -'C:\\Users\\au646069\\github\\systole\\build\\html\\searchindex.js', (23040, 16953) -'C:\\Users\\au646069\\github\\systole\\build\\index.html', (40448, 22173) -'C:\\Users\\au646069\\github\\systole\\build\\_static\\documentation_options.js', (62976, 376) -'C:\\Users\\au646069\\github\\systole\\build\\searchindex.js', (63488, 17325) diff --git a/source/auto_examples/sg_execution_times.rst b/source/auto_examples/sg_execution_times.rst deleted file mode 100644 index 7d1bec05..00000000 --- a/source/auto_examples/sg_execution_times.rst +++ /dev/null @@ -1,22 +0,0 @@ - -:orphan: - -.. _sphx_glr_auto_examples_sg_execution_times: - -Computation times -================= -**00:42.377** total execution time for **auto_examples** files: - -+---------------------------------------------------------------------------------------------------------+-----------+--------+ -| :ref:`sphx_glr_auto_examples_plot_InteractiveVisualizations.py` (``plot_InteractiveVisualizations.py``) | 00:42.377 | 0.0 MB | -+---------------------------------------------------------------------------------------------------------+-----------+--------+ -| :ref:`sphx_glr_auto_examples_Tutorial_recording.py` (``Tutorial_recording.py``) | 00:00.000 | 0.0 MB | -+---------------------------------------------------------------------------------------------------------+-----------+--------+ -| :ref:`sphx_glr_auto_examples_plot_ArtefactsCorrection.py` (``plot_ArtefactsCorrection.py``) | 00:00.000 | 0.0 MB | -+---------------------------------------------------------------------------------------------------------+-----------+--------+ -| :ref:`sphx_glr_auto_examples_plot_ArtefactsDetection.py` (``plot_ArtefactsDetection.py``) | 00:00.000 | 0.0 MB | -+---------------------------------------------------------------------------------------------------------+-----------+--------+ -| :ref:`sphx_glr_auto_examples_plot_HeartBeatEvokedArpeggios.py` (``plot_HeartBeatEvokedArpeggios.py``) | 00:00.000 | 0.0 MB | -+---------------------------------------------------------------------------------------------------------+-----------+--------+ -| :ref:`sphx_glr_auto_examples_plot_InstantaneousHeartRate.py` (``plot_InstantaneousHeartRate.py``) | 00:00.000 | 0.0 MB | -+---------------------------------------------------------------------------------------------------------+-----------+--------+ diff --git a/source/changelog.rst b/source/changelog.rst index a4ea593a..63aaac6f 100644 --- a/source/changelog.rst +++ b/source/changelog.rst @@ -1,118 +1,37 @@ -.. _Changelog: +.. _whatsnew: -What's new -########## +.. currentmodule:: systole -.. contents:: Table of Contents - :depth: 2 +.. role:: raw-html(raw) + :format: html -v0.1.3 (April 2021) -------------------- +.. role:: raw-latex(raw) + :format: latex -**Enhancements** -a. :py:func:`systole.plotly.plot_raw()`: add `ecg_method` parameter to control the ECG peak detection method used. -b. Download dataset directly from GitHub instead of copying the files at install. -c. Haromonisation of :py:func:`systole.plotting.plot_raw()` and :py:func:`systole.plotting.plot_raw()` (replace the `plot_hr()` function), and :py:func:`systole.plotly.plot_subspaces()` and :py:func:`systole.plotly.plot_subspaces()`. -d. The :py:class:`systole.recording.Oximeter()` class has been improved: - * :py:func:`systole.recording.Oximeter.setup()` has an `nAttempts` argument so it will not run forever if no valid signal is recordedfor a given number of attempts (default is 100). - * :py:func:`systole.recording.Oximeter.check()` has been updated and accept data format #7 from Xpods, allowing more flexibility. - * :py:func:`systole.recording.Oximeter.save()` will now save additional channels and support `.txt` and `.npy` file extensions. - * Create a :py:func:`systole.recording.Oximeter.reset()` method to avoid improper use of `__init__()`. -e. Add pre-commit hooks, flake8, black and isort CI tests. -f. Add type hints and CI testing with mypy. +.. |API| replace:: :raw-html:`API` :raw-latex:`{\small\sc [API]}` +.. |Defaults| replace:: :raw-html:`Defaults` :raw-latex:`{\small\sc [Defaults]}` +.. |Docs| replace:: :raw-html:`Docs` :raw-latex:`{\small\sc [Docs]}` +.. |Feature| replace:: :raw-html:`Feature` :raw-latex:`{\small\sc [Feature]}` +.. |Enhancement| replace:: :raw-html:`Enhancement` :raw-latex:`{\small\sc [Enhancement]}` +.. |Fix| replace:: :raw-html:`Fix` :raw-latex:`{\small\sc [Fix]}` -v0.1.2 (September 2020) ------------------------ +What's new in each version +========================== - **New functions** +This page contains information about what has changed in each new version of ``systole``. -a. Add :py:func:`systole.utils.to_rr()`. for peaks or index vectors convertion to RR intervals -b. Add :py:func:`systole.recording.BrainVisionExG()`, a class to read physio recording from BrainVision ExG products via TCP/IP connection. -c. Add :py:func:`systole.recording.findOximeter()`, find the USB port where Nonin Oximeter is plugged by looping through the USB port and checking the input. -d. Add :py:func:`systole.detection.ecg_peaks()`. A wrapper around py-ecg-detectors for basic ECG peaks detection. +.. raw:: html -**Enhancements** -a. Improved documentation and examples. -b. Simplification of PPG example data import. -c. Improved interactive plotting functions. +
+.. include:: releases/v0.2.0.txt -v0.1.1 (June 2020) ------------------- +.. include:: releases/v0.1.3.txt -**New functions** +.. include:: releases/v0.1.2.txt -a. Add the **plotly** sub-module, a set of Plotly functions comprising :py:func:`systole.plotly.plot_raw`, :py:func:`systole.plotly.plot_subspaces`, :py:func:`systole.plotly.plot_ectopic`, :py:func:`systole.plotly.plot_shortLong`, :py:func:`systole.plotly.plot_frequency`, :py:func:`systole.plotly.plot_nonlinear`, :py:func:`systole.plotly.plot_timedomain`. -b. Add :py:func:`systole.utils.simulate_rr()`, for random RR interval simulation with different kind of artefacts. Can also return peak vector. -c. The **correction** sub-module has been largely rewritten and now include :py:func:`systole.correction.correct_extra`, :py:func:`systole.correction.correct_missed`, :py:func:`systole.correction.interpolate_bads`, :py:func:`systole.correction.correct_rr`, :py:func:`systole.correction.correct_peaks`, :py:func:`systole.correction.correct_missed_peaks`, :py:func:`systole.correction.correct_extra_peaks`. These function can correct artefacts either using peaks addition/removal or by interpolation of the RR time series. +.. include:: releases/v0.1.1.txt -**Enhancements** +.. include:: releases/v0.1.0.txt -a. The **detection** sub-module has been improved. It is now about 10x faster and returns more information. The main function has been renamed to :py:func:`systole.detection.rr_artefacts`. - -**Bugfixes** - -a. :py:func:`systole.correction.interpolate_clipping`: add exception in case of clipping artefacts at the edge of the signal segment. This can cause cash during recording. The default behavior is now to decrement the last/first item in case of threshold value. The threshold can be changed manually. This procedure can result in slightly inaccurate interpolation, using a longer recording should always be preferred when possible. -b. The PPG signal simulator used for testing can now run infinitely. - -**Contributors** - -* `Jan C. Brammer `_ - - -v0.1.0 (January 2020) ---------------------- - -Initial release. - -**Detection** - -a. oxi_peaks() -b. hr_subspaces() -c. interpolate_clipping() -d. rr_outliers() - - -**HRV** - -a. nnX() -b. pnX() -c. rmssd() -d. time_domain() -e. frequency_domain() -f. nonlinear() - - -**Plotting** - -a. plot_hr() -b. plot_events() -c. plot_oximeter() -d. plot_subspaces() -e. plot_psd() -f. circular() -g. plot_circular() - - -**Recording** - -a. Oximeter() - - -**Report** - -a. report_oxi() - - -**Utils** - -a. norm_triggers() -b. time_shift() -c. heart_rate() -d. to_angles() -e. to_epochs() - -v0.0.1 (January 2020) ---------------------- - -Alpha release. +.. include:: releases/v0.0.1.txt diff --git a/source/conf.py b/source/conf.py index 8291a240..c585d26a 100644 --- a/source/conf.py +++ b/source/conf.py @@ -11,24 +11,21 @@ # documentation root, use os.path.abspath to make it absolute, like shown here. # import time +import systole import sphinx_bootstrap_theme -from plotly.io._sg_scraper import plotly_sg_scraper # -- Project information ----------------------------------------------------- project = "systole" -copyright = u'2020-{}, Nicolas Legrand'.format(time.strftime("%Y")) +copyright = u"2020-{}, Nicolas Legrand".format(time.strftime("%Y")) author = "Nicolas Legrand" -release = "0.1.3" +release = systole.__version__ -image_scrapers = ( - "matplotlib", - plotly_sg_scraper, -) +image_scrapers = ("matplotlib",) sphinx_gallery_conf = { - "examples_dirs": "../examples", + "examples_dirs": "../examples/", "backreferences_dir": "api", "image_scrapers": image_scrapers, } @@ -50,8 +47,13 @@ "matplotlib.sphinxext.plot_directive", "numpydoc", "jupyter_sphinx", + "sphinx_panels", + "myst_nb", + "sphinx_gallery.load_style", ] +panels_add_bootstrap_css = False + # Generate the API documentation when building autosummary_generate = True numpydoc_show_class_members = False @@ -81,27 +83,39 @@ # The theme to use for HTML and HTML Help pages. See the documentation for # a list of builtin themes. -html_theme = "bootstrap" +html_theme = "pydata_sphinx_theme" html_theme_path = sphinx_bootstrap_theme.get_html_theme_path() html_theme_options = { - "bootswatch_theme": "flatly", - "bootstrap_version": "3", - "navbar_class": "navbar", - "navbar_links": [ - ("Functions", "api"), - ("Tutorials", "auto_examples/index"), - ("GitHub", "https://github.com/embodied-computation-group/systole", True), - ("What's new", "changelog"), + "icon_links": [ + dict( + name="GitHub", + url="https://github.com/embodied-computation-group/systole", + icon="fab fa-github-square", + ), + dict( + name="Twitter", + url="https://twitter.com/visceral_mind", + icon="fab fa-twitter-square", + ), + dict( + name="Pypi", + url="https://pypi.org/project/systole/", + icon="fas fa-box", + ), ], + "logo_link": "https://systole-docs.github.io/", } # Add any paths that contain custom static files (such as style sheets) here, # relative to this directory. They are copied after the builtin static files, # so a file named "default.css" will overwrite the builtin "default.css". -# html_static_path = ['_static'] - +html_static_path = ['_static'] +html_css_files = ["https://cdnjs.cloudflare.com/ajax/libs/font-awesome/4.7.0/css/font-awesome.min.css"] html_logo = "images/logo.png" +def setup(app): + app.add_css_file('style.css') + # -- Intersphinx ------------------------------------------------ intersphinx_mapping = { @@ -111,4 +125,5 @@ "pandas": ("https://pandas.pydata.org/pandas-docs/stable/", None), "seaborn": ("https://seaborn.pydata.org/", None), "sklearn": ("http://scikit-learn.org/stable", None), + "bokeh": ("http://docs.bokeh.org/en/latest/", None), } diff --git a/source/generated/correction/systole.correction.correct_extra.rst b/source/generated/correction/systole.correction.correct_extra.rst deleted file mode 100644 index ad949e5a..00000000 --- a/source/generated/correction/systole.correction.correct_extra.rst +++ /dev/null @@ -1,6 +0,0 @@ -systole.correction.correct\_extra -================================= - -.. currentmodule:: systole.correction - -.. autofunction:: correct_extra \ No newline at end of file diff --git a/source/generated/correction/systole.correction.correct_extra_peaks.rst b/source/generated/correction/systole.correction.correct_extra_peaks.rst deleted file mode 100644 index 36c3c4d8..00000000 --- a/source/generated/correction/systole.correction.correct_extra_peaks.rst +++ /dev/null @@ -1,6 +0,0 @@ -systole.correction.correct\_extra\_peaks -======================================== - -.. currentmodule:: systole.correction - -.. autofunction:: correct_extra_peaks \ No newline at end of file diff --git a/source/generated/correction/systole.correction.correct_missed.rst b/source/generated/correction/systole.correction.correct_missed.rst deleted file mode 100644 index 975256c5..00000000 --- a/source/generated/correction/systole.correction.correct_missed.rst +++ /dev/null @@ -1,6 +0,0 @@ -systole.correction.correct\_missed -================================== - -.. currentmodule:: systole.correction - -.. autofunction:: correct_missed \ No newline at end of file diff --git a/source/generated/correction/systole.correction.correct_missed_peaks.rst b/source/generated/correction/systole.correction.correct_missed_peaks.rst deleted file mode 100644 index b4c8ed99..00000000 --- a/source/generated/correction/systole.correction.correct_missed_peaks.rst +++ /dev/null @@ -1,6 +0,0 @@ -systole.correction.correct\_missed\_peaks -========================================= - -.. currentmodule:: systole.correction - -.. autofunction:: correct_missed_peaks \ No newline at end of file diff --git a/source/generated/correction/systole.correction.correct_peaks.rst b/source/generated/correction/systole.correction.correct_peaks.rst deleted file mode 100644 index ca9f9e95..00000000 --- a/source/generated/correction/systole.correction.correct_peaks.rst +++ /dev/null @@ -1,6 +0,0 @@ -systole.correction.correct\_peaks -================================= - -.. currentmodule:: systole.correction - -.. autofunction:: correct_peaks \ No newline at end of file diff --git a/source/generated/correction/systole.correction.correct_rr.rst b/source/generated/correction/systole.correction.correct_rr.rst deleted file mode 100644 index 7a6dc763..00000000 --- a/source/generated/correction/systole.correction.correct_rr.rst +++ /dev/null @@ -1,6 +0,0 @@ -systole.correction.correct\_rr -============================== - -.. currentmodule:: systole.correction - -.. autofunction:: correct_rr \ No newline at end of file diff --git a/source/generated/correction/systole.correction.interpolate_bads.rst b/source/generated/correction/systole.correction.interpolate_bads.rst deleted file mode 100644 index 23093d28..00000000 --- a/source/generated/correction/systole.correction.interpolate_bads.rst +++ /dev/null @@ -1,6 +0,0 @@ -systole.correction.interpolate\_bads -==================================== - -.. currentmodule:: systole.correction - -.. autofunction:: interpolate_bads \ No newline at end of file diff --git a/source/generated/detection/systole.detection.ecg_peaks.rst b/source/generated/detection/systole.detection.ecg_peaks.rst deleted file mode 100644 index ae88df32..00000000 --- a/source/generated/detection/systole.detection.ecg_peaks.rst +++ /dev/null @@ -1,6 +0,0 @@ -systole.detection.ecg\_peaks -============================ - -.. currentmodule:: systole.detection - -.. autofunction:: ecg_peaks \ No newline at end of file diff --git a/source/generated/detection/systole.detection.interpolate_clipping.rst b/source/generated/detection/systole.detection.interpolate_clipping.rst deleted file mode 100644 index 141efd2d..00000000 --- a/source/generated/detection/systole.detection.interpolate_clipping.rst +++ /dev/null @@ -1,6 +0,0 @@ -systole.detection.interpolate\_clipping -======================================= - -.. currentmodule:: systole.detection - -.. autofunction:: interpolate_clipping \ No newline at end of file diff --git a/source/generated/detection/systole.detection.oxi_peaks.rst b/source/generated/detection/systole.detection.oxi_peaks.rst deleted file mode 100644 index 894cb58f..00000000 --- a/source/generated/detection/systole.detection.oxi_peaks.rst +++ /dev/null @@ -1,6 +0,0 @@ -systole.detection.oxi\_peaks -============================ - -.. currentmodule:: systole.detection - -.. autofunction:: oxi_peaks \ No newline at end of file diff --git a/source/generated/detection/systole.detection.rr_artefacts.rst b/source/generated/detection/systole.detection.rr_artefacts.rst deleted file mode 100644 index dd865b44..00000000 --- a/source/generated/detection/systole.detection.rr_artefacts.rst +++ /dev/null @@ -1,6 +0,0 @@ -systole.detection.rr\_artefacts -=============================== - -.. currentmodule:: systole.detection - -.. autofunction:: rr_artefacts \ No newline at end of file diff --git a/source/generated/hrv/systole.hrv.frequency_domain.rst b/source/generated/hrv/systole.hrv.frequency_domain.rst deleted file mode 100644 index 7c0ea782..00000000 --- a/source/generated/hrv/systole.hrv.frequency_domain.rst +++ /dev/null @@ -1,6 +0,0 @@ -systole.hrv.frequency\_domain -============================= - -.. currentmodule:: systole.hrv - -.. autofunction:: frequency_domain \ No newline at end of file diff --git a/source/generated/hrv/systole.hrv.nnX.rst b/source/generated/hrv/systole.hrv.nnX.rst deleted file mode 100644 index 7d0c300d..00000000 --- a/source/generated/hrv/systole.hrv.nnX.rst +++ /dev/null @@ -1,6 +0,0 @@ -systole.hrv.nnX -=============== - -.. currentmodule:: systole.hrv - -.. autofunction:: nnX \ No newline at end of file diff --git a/source/generated/hrv/systole.hrv.nonlinear.rst b/source/generated/hrv/systole.hrv.nonlinear.rst deleted file mode 100644 index 7135f441..00000000 --- a/source/generated/hrv/systole.hrv.nonlinear.rst +++ /dev/null @@ -1,6 +0,0 @@ -systole.hrv.nonlinear -===================== - -.. currentmodule:: systole.hrv - -.. autofunction:: nonlinear \ No newline at end of file diff --git a/source/generated/hrv/systole.hrv.pnnX.rst b/source/generated/hrv/systole.hrv.pnnX.rst deleted file mode 100644 index 756fc422..00000000 --- a/source/generated/hrv/systole.hrv.pnnX.rst +++ /dev/null @@ -1,6 +0,0 @@ -systole.hrv.pnnX -================ - -.. currentmodule:: systole.hrv - -.. autofunction:: pnnX \ No newline at end of file diff --git a/source/generated/hrv/systole.hrv.rmssd.rst b/source/generated/hrv/systole.hrv.rmssd.rst deleted file mode 100644 index 65704bb1..00000000 --- a/source/generated/hrv/systole.hrv.rmssd.rst +++ /dev/null @@ -1,6 +0,0 @@ -systole.hrv.rmssd -================= - -.. currentmodule:: systole.hrv - -.. autofunction:: rmssd \ No newline at end of file diff --git a/source/generated/hrv/systole.hrv.time_domain.rst b/source/generated/hrv/systole.hrv.time_domain.rst deleted file mode 100644 index 58129ee4..00000000 --- a/source/generated/hrv/systole.hrv.time_domain.rst +++ /dev/null @@ -1,6 +0,0 @@ -systole.hrv.time\_domain -======================== - -.. currentmodule:: systole.hrv - -.. autofunction:: time_domain \ No newline at end of file diff --git a/source/generated/plotly/systole.plotly.plot_ectopic.rst b/source/generated/plotly/systole.plotly.plot_ectopic.rst deleted file mode 100644 index b89aff11..00000000 --- a/source/generated/plotly/systole.plotly.plot_ectopic.rst +++ /dev/null @@ -1,6 +0,0 @@ -systole.plotly.plot\_ectopic -============================ - -.. currentmodule:: systole.plotly - -.. autofunction:: plot_ectopic \ No newline at end of file diff --git a/source/generated/plotly/systole.plotly.plot_frequency.rst b/source/generated/plotly/systole.plotly.plot_frequency.rst deleted file mode 100644 index d62afc9d..00000000 --- a/source/generated/plotly/systole.plotly.plot_frequency.rst +++ /dev/null @@ -1,6 +0,0 @@ -systole.plotly.plot\_frequency -============================== - -.. currentmodule:: systole.plotly - -.. autofunction:: plot_frequency \ No newline at end of file diff --git a/source/generated/plotly/systole.plotly.plot_nonlinear.rst b/source/generated/plotly/systole.plotly.plot_nonlinear.rst deleted file mode 100644 index 1981378b..00000000 --- a/source/generated/plotly/systole.plotly.plot_nonlinear.rst +++ /dev/null @@ -1,6 +0,0 @@ -systole.plotly.plot\_nonlinear -============================== - -.. currentmodule:: systole.plotly - -.. autofunction:: plot_nonlinear \ No newline at end of file diff --git a/source/generated/plotly/systole.plotly.plot_raw.rst b/source/generated/plotly/systole.plotly.plot_raw.rst deleted file mode 100644 index d27e955b..00000000 --- a/source/generated/plotly/systole.plotly.plot_raw.rst +++ /dev/null @@ -1,6 +0,0 @@ -systole.plotly.plot\_raw -======================== - -.. currentmodule:: systole.plotly - -.. autofunction:: plot_raw \ No newline at end of file diff --git a/source/generated/plotly/systole.plotly.plot_shortLong.rst b/source/generated/plotly/systole.plotly.plot_shortLong.rst deleted file mode 100644 index a6e684a3..00000000 --- a/source/generated/plotly/systole.plotly.plot_shortLong.rst +++ /dev/null @@ -1,6 +0,0 @@ -systole.plotly.plot\_shortLong -============================== - -.. currentmodule:: systole.plotly - -.. autofunction:: plot_shortLong \ No newline at end of file diff --git a/source/generated/plotly/systole.plotly.plot_subspaces.rst b/source/generated/plotly/systole.plotly.plot_subspaces.rst deleted file mode 100644 index 48fff1cf..00000000 --- a/source/generated/plotly/systole.plotly.plot_subspaces.rst +++ /dev/null @@ -1,6 +0,0 @@ -systole.plotly.plot\_subspaces -============================== - -.. currentmodule:: systole.plotly - -.. autofunction:: plot_subspaces \ No newline at end of file diff --git a/source/generated/plotly/systole.plotly.plot_timedomain.rst b/source/generated/plotly/systole.plotly.plot_timedomain.rst deleted file mode 100644 index 4b480c98..00000000 --- a/source/generated/plotly/systole.plotly.plot_timedomain.rst +++ /dev/null @@ -1,6 +0,0 @@ -systole.plotly.plot\_timedomain -=============================== - -.. currentmodule:: systole.plotly - -.. autofunction:: plot_timedomain \ No newline at end of file diff --git a/source/generated/plotting/systole.plotting.circular.rst b/source/generated/plotting/systole.plotting.circular.rst deleted file mode 100644 index 8964ded8..00000000 --- a/source/generated/plotting/systole.plotting.circular.rst +++ /dev/null @@ -1,6 +0,0 @@ -systole.plotting.circular -========================= - -.. currentmodule:: systole.plotting - -.. autofunction:: circular \ No newline at end of file diff --git a/source/generated/plotting/systole.plotting.plot_circular.rst b/source/generated/plotting/systole.plotting.plot_circular.rst deleted file mode 100644 index 7d0d92eb..00000000 --- a/source/generated/plotting/systole.plotting.plot_circular.rst +++ /dev/null @@ -1,6 +0,0 @@ -systole.plotting.plot\_circular -=============================== - -.. currentmodule:: systole.plotting - -.. autofunction:: plot_circular \ No newline at end of file diff --git a/source/generated/plotting/systole.plotting.plot_events.rst b/source/generated/plotting/systole.plotting.plot_events.rst deleted file mode 100644 index eefc6665..00000000 --- a/source/generated/plotting/systole.plotting.plot_events.rst +++ /dev/null @@ -1,6 +0,0 @@ -systole.plotting.plot\_events -============================= - -.. currentmodule:: systole.plotting - -.. autofunction:: plot_events \ No newline at end of file diff --git a/source/generated/plotting/systole.plotting.plot_oximeter.rst b/source/generated/plotting/systole.plotting.plot_oximeter.rst deleted file mode 100644 index 57c361bb..00000000 --- a/source/generated/plotting/systole.plotting.plot_oximeter.rst +++ /dev/null @@ -1,6 +0,0 @@ -systole.plotting.plot\_oximeter -=============================== - -.. currentmodule:: systole.plotting - -.. autofunction:: plot_oximeter \ No newline at end of file diff --git a/source/generated/plotting/systole.plotting.plot_psd.rst b/source/generated/plotting/systole.plotting.plot_psd.rst deleted file mode 100644 index c0ebcdd2..00000000 --- a/source/generated/plotting/systole.plotting.plot_psd.rst +++ /dev/null @@ -1,6 +0,0 @@ -systole.plotting.plot\_psd -========================== - -.. currentmodule:: systole.plotting - -.. autofunction:: plot_psd \ No newline at end of file diff --git a/source/generated/plotting/systole.plotting.plot_raw.rst b/source/generated/plotting/systole.plotting.plot_raw.rst deleted file mode 100644 index bd523ede..00000000 --- a/source/generated/plotting/systole.plotting.plot_raw.rst +++ /dev/null @@ -1,6 +0,0 @@ -systole.plotting.plot\_raw -========================== - -.. currentmodule:: systole.plotting - -.. autofunction:: plot_raw \ No newline at end of file diff --git a/source/generated/plotting/systole.plotting.plot_subspaces.rst b/source/generated/plotting/systole.plotting.plot_subspaces.rst deleted file mode 100644 index 398647a1..00000000 --- a/source/generated/plotting/systole.plotting.plot_subspaces.rst +++ /dev/null @@ -1,6 +0,0 @@ -systole.plotting.plot\_subspaces -================================ - -.. currentmodule:: systole.plotting - -.. autofunction:: plot_subspaces \ No newline at end of file diff --git a/source/generated/recording/systole.recording.BrainVisionExG.rst b/source/generated/recording/systole.recording.BrainVisionExG.rst deleted file mode 100644 index 52630fde..00000000 --- a/source/generated/recording/systole.recording.BrainVisionExG.rst +++ /dev/null @@ -1,28 +0,0 @@ -systole.recording.BrainVisionExG -================================ - -.. currentmodule:: systole.recording - -.. autoclass:: BrainVisionExG - - - .. automethod:: __init__ - - - .. rubric:: Methods - - .. autosummary:: - - ~BrainVisionExG.GetData - ~BrainVisionExG.GetProperties - ~BrainVisionExG.RecvData - ~BrainVisionExG.SplitString - ~BrainVisionExG.__init__ - ~BrainVisionExG.close - ~BrainVisionExG.read - - - - - - \ No newline at end of file diff --git a/source/generated/recording/systole.recording.Oximeter.rst b/source/generated/recording/systole.recording.Oximeter.rst deleted file mode 100644 index 90c8ae39..00000000 --- a/source/generated/recording/systole.recording.Oximeter.rst +++ /dev/null @@ -1,36 +0,0 @@ -systole.recording.Oximeter -========================== - -.. currentmodule:: systole.recording - -.. autoclass:: Oximeter - - - .. automethod:: __init__ - - - .. rubric:: Methods - - .. autosummary:: - - ~Oximeter.__init__ - ~Oximeter.add_paquet - ~Oximeter.check - ~Oximeter.data_format2 - ~Oximeter.data_format7 - ~Oximeter.find_peaks - ~Oximeter.plot_events - ~Oximeter.plot_raw - ~Oximeter.plot_recording - ~Oximeter.read - ~Oximeter.readInWaiting - ~Oximeter.reset - ~Oximeter.save - ~Oximeter.setup - ~Oximeter.waitBeat - - - - - - \ No newline at end of file diff --git a/source/generated/recording/systole.recording.findOximeter.rst b/source/generated/recording/systole.recording.findOximeter.rst deleted file mode 100644 index 62cf1e32..00000000 --- a/source/generated/recording/systole.recording.findOximeter.rst +++ /dev/null @@ -1,6 +0,0 @@ -systole.recording.findOximeter -============================== - -.. currentmodule:: systole.recording - -.. autofunction:: findOximeter \ No newline at end of file diff --git a/source/generated/utils/systole.utils.heart_rate.rst b/source/generated/utils/systole.utils.heart_rate.rst deleted file mode 100644 index af63f6fb..00000000 --- a/source/generated/utils/systole.utils.heart_rate.rst +++ /dev/null @@ -1,6 +0,0 @@ -systole.utils.heart\_rate -========================= - -.. currentmodule:: systole.utils - -.. autofunction:: heart_rate \ No newline at end of file diff --git a/source/generated/utils/systole.utils.norm_triggers.rst b/source/generated/utils/systole.utils.norm_triggers.rst deleted file mode 100644 index a7f58766..00000000 --- a/source/generated/utils/systole.utils.norm_triggers.rst +++ /dev/null @@ -1,6 +0,0 @@ -systole.utils.norm\_triggers -============================ - -.. currentmodule:: systole.utils - -.. autofunction:: norm_triggers \ No newline at end of file diff --git a/source/generated/utils/systole.utils.simulate_rr.rst b/source/generated/utils/systole.utils.simulate_rr.rst deleted file mode 100644 index 5920ea7e..00000000 --- a/source/generated/utils/systole.utils.simulate_rr.rst +++ /dev/null @@ -1,6 +0,0 @@ -systole.utils.simulate\_rr -========================== - -.. currentmodule:: systole.utils - -.. autofunction:: simulate_rr \ No newline at end of file diff --git a/source/generated/utils/systole.utils.time_shift.rst b/source/generated/utils/systole.utils.time_shift.rst deleted file mode 100644 index 3e732e68..00000000 --- a/source/generated/utils/systole.utils.time_shift.rst +++ /dev/null @@ -1,6 +0,0 @@ -systole.utils.time\_shift -========================= - -.. currentmodule:: systole.utils - -.. autofunction:: time_shift \ No newline at end of file diff --git a/source/generated/utils/systole.utils.to_angles.rst b/source/generated/utils/systole.utils.to_angles.rst deleted file mode 100644 index 21aa802e..00000000 --- a/source/generated/utils/systole.utils.to_angles.rst +++ /dev/null @@ -1,6 +0,0 @@ -systole.utils.to\_angles -======================== - -.. currentmodule:: systole.utils - -.. autofunction:: to_angles \ No newline at end of file diff --git a/source/generated/utils/systole.utils.to_epochs.rst b/source/generated/utils/systole.utils.to_epochs.rst deleted file mode 100644 index 36fd777e..00000000 --- a/source/generated/utils/systole.utils.to_epochs.rst +++ /dev/null @@ -1,6 +0,0 @@ -systole.utils.to\_epochs -======================== - -.. currentmodule:: systole.utils - -.. autofunction:: to_epochs \ No newline at end of file diff --git a/source/generated/utils/systole.utils.to_neighbour.rst b/source/generated/utils/systole.utils.to_neighbour.rst deleted file mode 100644 index 50ccbedd..00000000 --- a/source/generated/utils/systole.utils.to_neighbour.rst +++ /dev/null @@ -1,6 +0,0 @@ -systole.utils.to\_neighbour -=========================== - -.. currentmodule:: systole.utils - -.. autofunction:: to_neighbour \ No newline at end of file diff --git a/source/generated/utils/systole.utils.to_rr.rst b/source/generated/utils/systole.utils.to_rr.rst deleted file mode 100644 index 30a18028..00000000 --- a/source/generated/utils/systole.utils.to_rr.rst +++ /dev/null @@ -1,6 +0,0 @@ -systole.utils.to\_rr -==================== - -.. currentmodule:: systole.utils - -.. autofunction:: to_rr \ No newline at end of file diff --git a/source/getting_started.rst b/source/getting_started.rst new file mode 100644 index 00000000..8b5f3cef --- /dev/null +++ b/source/getting_started.rst @@ -0,0 +1,92 @@ + +Installation +++++++++++++ + +Systole can be installed using pip: + +.. code-block:: shell + + pip install systole + +The following packages are required to use Systole: + +* `Numpy `_ (>=1.15) +* `SciPy `_ (>=1.3.0) +* `Pandas `_ (>=0.24) +* `Numba `_ (>=0.51.2) +* `Seaborn `_ (>=0.9.0) + +Required when using `Matplotlib` plotting backend: +* `Matplotlib `_ (>=3.0.2) +Required when using `Bokeh` plotting backend: +* `Bokeh `_ (>=2.3.3) + + +Getting started ++++++++++++++++ + +.. code-block:: python + + from systole import import_dataset1 + + # Import ECg recording + signal = import_dataset1(modalities=['ECG']).ecg.to_numpy() + + +Signal extraction and interactive plotting +========================================== +The package integrates a set of functions for interactive or non interactive data visualization based on `Matplotlib `_ and `Bokeh `_. + +.. code-block:: python + + from systole.plots plot_raw + + plot_raw(signal[60000 : 120000], modality="ecg", backend="bokeh", + show_heart_rate=True, show_artefacts=True, figsize=300) + +.. raw:: html + :file: ./images/raw.html + + +Artefacts detection and rejection +================================= +Artefacts can be detected and corrected in the RR interval time series or the peaks vector using the method proposed by Lipponen & Tarvainen (2019). + +.. code-block:: python + + from systole.detection import ecg_peaks + from systole.plots plot_subspaces + + # R peaks detection + signal, peaks = ecg_peaks(signal, method='pan-tompkins', sfreq=1000) + + plot_subspaces(peaks, input_type="peaks", backend="bokeh") + +.. raw:: html + :file: ./images/subspaces.html + + +Heart rate variability analysis +=============================== +Systole implements time-domain, frequency-domain and non-linear HRV indices, as well as tools for evoked heart rate analysis. + +.. code-block:: python + + from bokeh.layouts import row + from systole.plots plot_frequency, plot_pointcare + + row( + plot_frequency(peaks, input_type="peaks", backend="bokeh", figsize=(300, 200)), + plot_pointcare(peaks, input_type="peaks", backend="bokeh", figsize=(200, 200)), + ) + +.. raw:: html + :file: ./images/hrv.html + + +Online systolic peak detection, cardiac-stimulus synchrony, and cardiac circular analysis +========================================================================================= + +The package natively supports recording of physiological signals from the following setups: +- `Nonin 3012LP Xpod USB pulse oximeter `_ together with the `Nonin 8000SM 'soft-clip' fingertip sensors `_ (USB). +- Remote Data Access (RDA) via BrainVision Recorder together with `Brain product ExG amplifier `_ (Ethernet). diff --git a/source/images/LabLogo.png b/source/images/LabLogo.png new file mode 100644 index 00000000..93481d6d Binary files /dev/null and b/source/images/LabLogo.png differ diff --git a/source/images/au_clinisk_logo.png b/source/images/au_clinisk_logo.png new file mode 100644 index 00000000..1d6f35b9 Binary files /dev/null and b/source/images/au_clinisk_logo.png differ diff --git a/source/images/banner.png b/source/images/banner.png deleted file mode 100644 index da0b0492..00000000 Binary files a/source/images/banner.png and /dev/null differ diff --git a/source/images/code-solid.png b/source/images/code-solid.png new file mode 100644 index 00000000..0f0e405f Binary files /dev/null and b/source/images/code-solid.png differ diff --git a/source/images/code-solid.svg b/source/images/code-solid.svg new file mode 100644 index 00000000..5e4df175 --- /dev/null +++ b/source/images/code-solid.svg @@ -0,0 +1,62 @@ + + diff --git a/source/images/create_figures.py b/source/images/create_figures.py new file mode 100644 index 00000000..df5f2f1a --- /dev/null +++ b/source/images/create_figures.py @@ -0,0 +1,68 @@ + +"""Create figures presented in the README. +""" + +from systole import import_dataset1 +from systole.detection import ecg_peaks +from systole.plots import plot_frequency, plot_pointcare, plot_raw, plot_subspaces +from bokeh.io import export_png, save +from bokeh.layouts import row +# Import ECg recording +signal = import_dataset1(modalities=['ECG']).ecg.to_numpy() + +# R peaks detection +signal, peaks = ecg_peaks(signal, method='pan-tompkins', sfreq=1000) + +########## +# Raw plot +########## + +#%% As PNG +export_png( + plot_raw(signal[60000 : 120000], modality="ecg", backend="bokeh", + show_heart_rate=True, show_artefacts=True, figsize=300), + filename="raw.png", width=1400 +) + +#%% As HTML +save( + plot_raw(signal[60000 : 120000], modality="ecg", backend="bokeh", + show_heart_rate=True, show_artefacts=True, figsize=300), + filename="raw.html", +) + +######################## +# Heart Rate Variability +######################## + +#%% As PNG +export_png( + row( + plot_frequency(peaks, input_type="peaks", backend="bokeh", figsize=(600, 400)), + plot_pointcare(peaks, input_type="peaks", backend="bokeh", figsize=(400, 400)), + ),filename="hrv.png" +) + +#%% As HTML +save( + row( + plot_frequency(peaks, input_type="peaks", backend="bokeh", figsize=(300, 200)), + plot_pointcare(peaks, input_type="peaks", backend="bokeh", figsize=(200, 200)), + ),filename="hrv.html" +) + +##################### +# Artefacts detection +##################### + +#%% As PNG +export_png( + plot_subspaces(peaks, input_type="peaks", backend="bokeh"), + filename="subspaces.png" +) + +#%% As HTML +save( + plot_subspaces(peaks, input_type="peaks", backend="bokeh"), + filename="subspaces.html" +) \ No newline at end of file diff --git a/source/images/ecg.png b/source/images/ecg.png new file mode 100644 index 00000000..6971d9d5 Binary files /dev/null and b/source/images/ecg.png differ diff --git a/source/images/ecg.svg b/source/images/ecg.svg new file mode 100644 index 00000000..708fa1ac --- /dev/null +++ b/source/images/ecg.svg @@ -0,0 +1,428 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + image/svg+xml + + + + + + + + + + P wave + QRS complex + T wave + Q + S + + + R-R interval + R peak + + + + - + + - + + - + + G + + + + + a. + b. + + diff --git a/source/images/forward-fast-solid.png b/source/images/forward-fast-solid.png new file mode 100644 index 00000000..b7784893 Binary files /dev/null and b/source/images/forward-fast-solid.png differ diff --git a/source/images/forward-fast-solid.svg b/source/images/forward-fast-solid.svg new file mode 100644 index 00000000..8c8fe64f --- /dev/null +++ b/source/images/forward-fast-solid.svg @@ -0,0 +1,63 @@ + + diff --git a/source/images/hrv.html b/source/images/hrv.html new file mode 100644 index 00000000..fa0aea51 --- /dev/null +++ b/source/images/hrv.html @@ -0,0 +1,86 @@ + + + + + + + + + + + Bokeh Plot + + + + + + + + + + + + + + + + + + + + + + + + +
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In particular, the package provides tools to pre-process, visualize, and analyze cardiac data. +This includes tools for data epoching, artefact detection, artefact correction, evoked heart-rate analyses, heart-rate +variability analyses, circular statistical approaches to analysing cardiac cycles, and synchronising stimulus +presentation with different cardiac phases via the psychopy. -The documentation can be found under the following `link `_. +Systole documentation +===================== -Installation -============ - -Systole can be installed using pip: - -.. code-block:: shell - - pip install systole - -The following packages are required to use Systole: +.. panels:: + :card: + intro-card text-center + :column: col-lg-6 col-md-6 col-sm-6 col-xs-12 d-flex -* `Numpy `_ (>=1.15) -* `SciPy `_ (>=1.3.0) -* `Pandas `_ (>=0.24) -* `Matplotlib `_ (>=3.0.2) -* `Seaborn `_ (>=0.9.0) -* `py-ecg-detectors `_ (>=1.0.2) + --- + :img-top: images/forward-fast-solid.png -Interactive plotting functions and reports generation will also require the following packages to be installed: + Getting started + ^^^^^^^^^^^^^^^ -* `Plotly `_ (>=4.8.0) + New to *Systole*? Check out the getting started guides. They contain an + introduction to *Systole'* main concepts and links to additional tutorials. -Tutorial -======== + --- + :img-top: images/table-cells-large-solid.png -For an overview of all the recording functionalities, you can refer to the following examples: + Example gallery + ^^^^^^^^^^^^^^^ -* Recording -* Artefacts detection and artefacts correction -* Heart rate variability + See this section for examples of using Systole in different ways. -For an introduction to Systole and cardiac signal analysis, you can refer to the following tutorial: + --- + :img-top: images/tutorials.png -* Introduction to cardiac signal analysis - |Colab badge| - `Jupyter Book `_ + Tutorials + ^^^^^^^^^ -.. |Colab badge| image:: https://colab.research.google.com/assets/colab-badge.svg - :target: https://colab.research.google.com/github/LegrandNico/Notebooks/blob/main/IntroductionCardiacSignalAnalysis.ipynb + New to cardiac signal analysis? Want to see how you can use *Systole* when dealing + with real-world problems? Check out the tutorial notebooks for an introduction to + theoretical and practical aspects of physiological signal analysis for cognitive + neuroscience. -Recording -========= + --- + :img-top: images/code-solid.png -Systole natively supports recording of physiological signals from the following setups: -* `Nonin 3012LP Xpod USB pulse oximeter `_ together with the `Nonin 8000SM 'soft-clip' fingertip sensors `_ (USB). -* Remote Data Access (RDA) via BrainVision Recorder together with `Brain product ExG amplifier `_ (Ethernet). + API reference + ^^^^^^^^^^^^^ -Artefact correction -=================== + The reference guide contains a detailed description of the Systole API. The + reference describes how the methods work and which parameters can be used. -Systole implements systolic peak detection inspired by van Gent et al. (2019) [#]_ and the artefact rejection method recently proposed by Lipponen & Tarvainen (2019) [#]_. -.. code-block:: python - - from systole import simulate_rr - from systole.plotting import plot_subspaces - - rr = simulate_rr() - plot_subspaces(rr) - -.. figure:: https://github.com/embodied-computation-group/systole/raw/master/Images/subspaces.png - :align: center - -Interactive visualization -========================= +Acknowledgements +================ -Systole integrates a set of functions for interactive data visualization based on `Plotly `_. +This software and the ECG are supported by a Lundbeckfonden Fellowship (R272-2017-4345), and the AIAS-COFUND II fellowship programme that is supported by the Marie Skłodowska-Curie actions under the European Union’s Horizon 2020 (Grant agreement no 754513), and the Aarhus University Research Foundation. -.. figure:: https://github.com/embodied-computation-group/systole/raw/master/Images/systole.gif - :align: center +Systole was largely inspired by pre-existing toolboxes dedicated to heartrate variability and signal analysis. -Heartrate variability -====================== +* HeartPy: https://python-heart-rate-analysis-toolkit.readthedocs.io/en/latest/ -Systole supports basic time-domain, frequency-domain and non-linear extraction indices. +* hrv: https://github.com/rhenanbartels/hrv -All time-domain and non-linear indices have been tested against Kubios HVR 2.2 (). The frequency-domain indices can slightly differ. We recommend to always check your results against another software. +* pyHVR: https://pyhrv.readthedocs.io/en/latest/index.html -.. code-block:: python +* ECG-detector: https://github.com/berndporr/py-ecg-detectors - from systole.plotting import plot_psd +* Pingouin: https://pingouin-stats.org/ - plot_psd(rr) +* NeuroKit2: https://github.com/neuropsychology/NeuroKit -.. figure:: https://github.com/embodied-computation-group/systole/raw/master/Images/psd.png - :align: center Development =========== @@ -135,31 +115,29 @@ Contributors ============ - Jan C. Brammer (jan.c.brammer@gmail.com) +- Gidon Levakov (gidonlevakov@gmail.com) +- Peter Doggart (peter.doggart@pulseai.io) -Acknowledgements ================ -This software and the ECG are supported by a Lundbeckfonden Fellowship (R272-2017-4345), and the AIAS-COFUND II fellowship programme that is supported by the Marie Skłodowska-Curie actions under the European Union’s Horizon 2020 (Grant agreement no 754513), and the Aarhus University Research Foundation. - -Systole was largely inspired by pre-existing toolboxes dedicated to heartrate variability and signal analysis. +|AU| |lundbeck| |lab| -* HeartPy: https://python-heart-rate-analysis-toolkit.readthedocs.io/en/latest/ - -* hrv: https://github.com/rhenanbartels/hrv - -* pyHVR: https://pyhrv.readthedocs.io/en/latest/index.html - -* ECG-detector: https://github.com/berndporr/py-ecg-detectors - -* Pingouin: https://pingouin-stats.org/ +.. |AU| image:: https://github.com/embodied-computation-group/systole/raw/dev/Images/au_clinisk_logo.png + :width: 100% -References -========== +.. |lundbeck| image:: https://github.com/embodied-computation-group/systole/raw/dev/Images/lundbeckfonden_logo.png + :width: 10% -**Peak detection (PPG signal)** +.. |lab| image:: https://github.com/embodied-computation-group/systole/raw/dev/Images/LabLogo.png + :width: 20% -.. [#] van Gent, P., Farah, H., van Nes, N., & van Arem, B. (2019). HeartPy: A novel heart rate algorithm for the analysis of noisy signals. *Transportation Research Part F: Traffic Psychology and Behaviour, 66, 368–378*. https://doi.org/10.1016/j.trf.2019.09.015 -**Artefact detection and correction:** +.. toctree:: + :maxdepth: 3 + :hidden: -.. [#] Lipponen, J. A., & Tarvainen, M. P. (2019). A robust algorithm for heart rate variability time series artefact correction using novel beat classification. *Journal of Medical Engineering & Technology, 43(3), 173–181*. https://doi.org/10.1080/03091902.2019.1640306 + Getting started + Gallery + Tutorials + API reference + Release notes \ No newline at end of file diff --git a/source/notebooks/1-PhysiologicalSignals.ipynb b/source/notebooks/1-PhysiologicalSignals.ipynb new file mode 100644 index 00000000..740afc44 --- /dev/null +++ b/source/notebooks/1-PhysiologicalSignals.ipynb @@ -0,0 +1,1076 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Author: Nicolas Legrand " + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "tags": [ + "hide-input" + ] + }, + "outputs": [], + "source": [ + "%%capture\n", + "import sys\n", + "if 'google.colab' in sys.modules:\n", + " ! pip install systole" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "
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i < inline_js.length; i++) {\n", + " inline_js[i].call(root, root.Bokeh);\n", + " }\n", + " if (force === true) {\n", + " display_loaded();\n", + " }} else if (Date.now() < root._bokeh_timeout) {\n", + " setTimeout(run_inline_js, 100);\n", + " } else if (!root._bokeh_failed_load) {\n", + " console.log(\"Bokeh: BokehJS failed to load within specified timeout.\");\n", + " root._bokeh_failed_load = true;\n", + " } else if (force !== true) {\n", + " var cell = $(document.getElementById(\"1002\")).parents('.cell').data().cell;\n", + " cell.output_area.append_execute_result(NB_LOAD_WARNING)\n", + " }\n", + "\n", + " }\n", + "\n", + " if (root._bokeh_is_loading === 0) {\n", + " console.debug(\"Bokeh: BokehJS loaded, going straight to plotting\");\n", + " run_inline_js();\n", + " } else {\n", + " load_libs(css_urls, js_urls, function() {\n", + " console.debug(\"Bokeh: BokehJS plotting callback run at\", now());\n", + " run_inline_js();\n", + " });\n", + " }\n", + "}(window));" + ], + "application/vnd.bokehjs_load.v0+json": "\n(function(root) {\n function now() {\n return new Date();\n }\n\n var force = true;\n\n if (typeof root._bokeh_onload_callbacks === \"undefined\" || force === true) {\n root._bokeh_onload_callbacks = [];\n root._bokeh_is_loading = undefined;\n }\n\n \n\n \n if (typeof (root._bokeh_timeout) === \"undefined\" || force === true) {\n root._bokeh_timeout = Date.now() + 5000;\n root._bokeh_failed_load = false;\n }\n\n var NB_LOAD_WARNING = {'data': {'text/html':\n \"
\\n\"+\n \"

\\n\"+\n \"BokehJS does not appear to have successfully loaded. If loading BokehJS from CDN, this \\n\"+\n \"may be due to a slow or bad network connection. Possible fixes:\\n\"+\n \"

\\n\"+\n \"
    \\n\"+\n \"
  • re-rerun `output_notebook()` to attempt to load from CDN again, or
    • \\n\"+\n \"
  • use INLINE resources instead, as so:
    • \\n\"+\n \"
\\n\"+\n \"\\n\"+\n \"from bokeh.resources import INLINE\\n\"+\n \"output_notebook(resources=INLINE)\\n\"+\n \"\\n\"+\n \"
\"}};\n\n function display_loaded() {\n var el = document.getElementById(\"1002\");\n if (el != null) {\n el.textContent = \"BokehJS is loading...\";\n }\n if (root.Bokeh !== undefined) {\n if (el != null) {\n el.textContent = \"BokehJS \" + root.Bokeh.version + \" successfully loaded.\";\n }\n } else if (Date.now() < root._bokeh_timeout) {\n setTimeout(display_loaded, 100)\n }\n }\n\n\n function run_callbacks() {\n try {\n root._bokeh_onload_callbacks.forEach(function(callback) {\n if (callback != null)\n callback();\n });\n } finally {\n delete root._bokeh_onload_callbacks\n }\n console.debug(\"Bokeh: all callbacks have finished\");\n }\n\n function load_libs(css_urls, js_urls, callback) {\n if (css_urls == null) css_urls = [];\n if (js_urls == null) js_urls = [];\n\n root._bokeh_onload_callbacks.push(callback);\n if (root._bokeh_is_loading > 0) {\n console.debug(\"Bokeh: BokehJS is being loaded, scheduling callback at\", now());\n return null;\n }\n if (js_urls == null || js_urls.length === 0) {\n run_callbacks();\n return null;\n }\n console.debug(\"Bokeh: BokehJS not loaded, scheduling load and callback at\", now());\n root._bokeh_is_loading = css_urls.length + js_urls.length;\n\n function on_load() {\n root._bokeh_is_loading--;\n if (root._bokeh_is_loading === 0) {\n console.debug(\"Bokeh: all BokehJS libraries/stylesheets loaded\");\n run_callbacks()\n }\n }\n\n function on_error(url) {\n console.error(\"failed to load \" + url);\n }\n\n for (let i = 0; i < css_urls.length; i++) {\n const url = css_urls[i];\n const element = document.createElement(\"link\");\n element.onload = on_load;\n element.onerror = on_error.bind(null, url);\n element.rel = \"stylesheet\";\n element.type = \"text/css\";\n element.href = url;\n console.debug(\"Bokeh: injecting link tag for BokehJS stylesheet: \", url);\n document.body.appendChild(element);\n }\n\n const hashes = {\"https://cdn.bokeh.org/bokeh/release/bokeh-2.3.3.min.js\": \"dM3QQsP+wXdHg42wTqW85BjZQdLNNIXqlPw/BgKoExPmTG7ZLML4EGqLMfqHT6ON\", \"https://cdn.bokeh.org/bokeh/release/bokeh-tables-2.3.3.min.js\": \"8x57I4YuIfu8XyZfFo0XVr2WAT8EK4rh/uDe3wF7YuW2FNUSNEpJbsPaB1nJ2fz2\", \"https://cdn.bokeh.org/bokeh/release/bokeh-widgets-2.3.3.min.js\": \"3QTqdz9LyAm2i0sG5XTePsHec3UHWwVsrOL68SYRoAXsafvfAyqtQ+h440+qIBhS\"};\n\n for (let i = 0; i < js_urls.length; i++) {\n const url = js_urls[i];\n const element = document.createElement('script');\n element.onload = on_load;\n element.onerror = on_error.bind(null, url);\n element.async = false;\n element.src = url;\n if (url in hashes) {\n element.crossOrigin = \"anonymous\";\n element.integrity = \"sha384-\" + hashes[url];\n }\n console.debug(\"Bokeh: injecting script tag for BokehJS library: \", url);\n document.head.appendChild(element);\n }\n };\n\n function inject_raw_css(css) {\n const element = document.createElement(\"style\");\n element.appendChild(document.createTextNode(css));\n document.body.appendChild(element);\n }\n\n \n var js_urls = [\"https://cdn.bokeh.org/bokeh/release/bokeh-2.3.3.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-widgets-2.3.3.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-tables-2.3.3.min.js\"];\n var css_urls = [];\n \n\n var inline_js = [\n function(Bokeh) {\n Bokeh.set_log_level(\"info\");\n },\n function(Bokeh) {\n \n \n }\n ];\n\n function run_inline_js() {\n \n if (root.Bokeh !== undefined || force === true) {\n \n for (var i = 0; i < inline_js.length; i++) {\n inline_js[i].call(root, root.Bokeh);\n }\n if (force === true) {\n display_loaded();\n }} else if (Date.now() < root._bokeh_timeout) {\n setTimeout(run_inline_js, 100);\n } else if (!root._bokeh_failed_load) {\n console.log(\"Bokeh: BokehJS failed to load within specified timeout.\");\n root._bokeh_failed_load = true;\n } else if (force !== true) {\n var cell = $(document.getElementById(\"1002\")).parents('.cell').data().cell;\n cell.output_area.append_execute_result(NB_LOAD_WARNING)\n }\n\n }\n\n if (root._bokeh_is_loading === 0) {\n console.debug(\"Bokeh: BokehJS loaded, going straight to plotting\");\n run_inline_js();\n } else {\n load_libs(css_urls, js_urls, function() {\n console.debug(\"Bokeh: BokehJS plotting callback run at\", now());\n run_inline_js();\n });\n }\n}(window));" + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "import seaborn as sns\n", + "import numpy as np\n", + "from systole.plots import plot_raw\n", + "from systole.detection import ecg_peaks\n", + "from systole import import_dataset1, import_ppg\n", + "from systole.utils import input_conversion\n", + "\n", + "from bokeh.io import output_notebook\n", + "from bokeh.plotting import show\n", + "output_notebook()\n", + "\n", + "sns.set_context('talk')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Cardiac signal analysis" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This tutorial notebook introduces two commonly used methods to record cardiac activity: electrocardiography (ECG) and photoplethysmography (PPG)." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "---\n", + "## Electrocardiography (ECG)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "[Electrocardiography](https://en.wikipedia.org/wiki/Electrocardiography) (ECG or EKG) is the process of recording the small electrical changes that are a consequence of cardiac muscle depolarization followed by repolarization during each cardiac cycle (i.e., the heartbeat). It is important to note that the conventional ECG performed in a clinical context requires placing ten electrodes on the patient's limbs and the surface of the chest. Electrical potentials are then measured from 12 different angles to give a better representation of the 3 main components of the cardiac cycle (see panel **b.** bellow): the **P wave**, the **QRS component**, and the **T wave**. However, in the context of psychological research, the shape of each of these components and their intervals is of lesser interest. The focus is instead on the heart rate and the heart rate variability, which essentially requires the estimation of the R-R intervals, and therefore the detection of the R peaks. A 3-electrode system is then often preferred over more complex setups (see panel **a.** bellow)." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "tags": [ + "hide-input" + ] + }, + "source": [ + "

" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Importing Example ECG dataset" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "To illustrate the analysis of ECG signals, we will use a dataset containing ECG and respiratory recording from a healthy participant. These data were acquired concurrently with the paradigm described in Legrand et al. (2020), where subjects were asked to memorize and later inhibit/suppress images [1] and ECG was recorded using a standard 3-point electrode montage. You can load this data set with Systole directly using `systole.import_dataset1()`. As this dataset contains many modalities (ECG, respiration, EDA), you can decide to download only some of them to save time. This is what we are doing with the `modalities` argument." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "tags": [ + "hide-output" + ] + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Downloading ECG channel: 100%|███████████████████████████████████████████████████████████| 1/1 [00:03<00:00, 3.78s/it]\n" + ] + } + ], + "source": [ + "ecg_df = import_dataset1(modalities=['ECG'])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The resulting variable (`ecg_df`) is a [Pandas](https://pandas.pydata.org/docs/getting_started/index.html#getting-started) DataFrame. Using basic Pandas utilities, quickly check the columns names and datatypes by showing the first 5 rows using `head()`." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " ecg time\n", + "0 3.299866 0.000\n", + "1 3.263855 0.001\n", + "2 3.238525 0.002\n", + "3 3.224487 0.003\n", + "4 3.218079 0.004" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "ecg_df.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Here, the ECG signal is encoded in the `ecg` collumn. The `time` column encodes the acquisition time in seconds. We can see here that the sampling rate is 1000 Hz. We can also have a quick look at the ECG signal using the built-in `plot()` method (here showing only a slice of 30 seconds for clarity)." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "ecg_df[ecg_df.time.between(40, 70)].plot(x='time', y='ecg', figsize=(13, 5))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R peaks detection" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Plotting the raw ECG signal is an important step if we want to check the quality of the recording, but it will give very little information in itself regarding the subtle change in the dynamic of cardiac activity that might interact with cognitive processes. If we want more details, we need to analyze the heart rate frequency, and this is done by estimating the time interval between two heartbeats. A heartbeat is not a discrete process though and results from a sequence of characteristic biomechanical activities, each giving a particular electrical waveform (see panel **b.** above). But we can see in the recording that one component (the R peak, that corresponds to the ventricular depolarization and the ejection of the blood from the cardiac cavities) clearly emerges from the noise and can be systematically detected with great precision. For these reasons, the R peak is often used as the temporal index of heartbeats.\n", + "\n", + "[Systole](https://systole-docs.github.io/) offers different algorithms for R peaks detection that will be discussed in the next section. Here we will use an illustration using the [Pan-Tompkins algorithm](https://en.wikipedia.org/wiki/Pan%E2%80%93Tompkins_algorithm). First, let's select a subsample of the signal." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "signal = ecg_df[ecg_df.time.between(500, 530)].ecg.to_numpy() # Select only 30 seconds of recording" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Then, we use the `systole.detection.ecg_peaks()` function to this sample by providing the algorithm and method we want to use." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "signal, peaks = ecg_peaks(signal, method='pan-tompkins', sfreq=1000)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This function will output two 1d Numpy arrays: **1)** the resampled `signal` (this only matters if the sampling frequency of the input signal was different from the standard 1000 Hz that is the default of many Systole functions), and **2)** a `peaks` vector. The peaks vector has the same size as the input signal and is a boolean array (i.e., it only contains 0/False and 1/True logical values). The R peaks are encoded as 1 and the rest of the signal is set to 0. This vector can then be used to plot the detected R peaks on the input signal (panel **1** below). We can also use this vector to compute the distance between each R peaks (the R-R interval, see panel **2** below), which is used to measure the instantaneous heart rate (see panel **3** below)." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "time = np.arange(0, len(signal))/1000 # Create a time vector (seconds)\n", + "\n", + "fig, axs = plt.subplots(3, 1, figsize=(18, 9), sharex=True)\n", + "\n", + "# Raw ECG signal and R peaks\n", + "# --------------------------\n", + "axs[0].plot(time, signal, color='#c44e52', linewidth=1, label='ECG signal')\n", + "axs[0].scatter(time[peaks], signal[peaks], color='gray', edgecolor=\"k\", alpha=.6, label=\"R peaks\")\n", + "axs[0].set_ylabel('ECG (mV)')\n", + "axs[0].legend()\n", + "\n", + "# The boolean peaks vector\n", + "# ------------------------\n", + "axs[1].plot(time, peaks, color='g')\n", + "axs[1].set_ylabel('Peaks')\n", + "\n", + "# The instantaneous heart rate activity\n", + "# -------------------------------------\n", + "axs[2].plot(time[peaks][1:], np.diff(np.where(peaks)[0]), color='#4c72b0', linestyle='--', label=\"Interpolated instantaneous heart rate\")\n", + "axs[2].scatter(time[peaks][1:], np.diff(np.where(peaks)[0]), color='#4c72b0', edgecolor=\"k\", alpha=.6, label=\"Instantaneous heart rate\")\n", + "axs[2].set_xlabel('Time (s)')\n", + "axs[2].set_ylabel('R-R interval (ms)')\n", + "axs[2].legend()\n", + "\n", + "sns.despine()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**A note on the data format:** [Systole](https://systole-docs.github.io/) will output a boolean peaks vector after detection by default. We found this approach more intuitive as the time series keeps the same size and it can easier to slice it according to events observed in another signal (e.g the respiration or the stim channel). However, the same information can also be encoded as peaks indexes (`peaks_idx`), referring to the sample number where the R peaks were detected, or directly as RR-intervals expressed in seconds or milliseconds (`rr_s` and `rr_ms` respectively). Other packages will use different formats as default for encoding and you might have to convert your inputs. This can be done easily using `systole.utils.input_conversion`, which will let you convert your data accordingly." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 431, 1321, 2117, 2931, 3773, 4581, 5406, 6249, 7074,\n", + " 7893, 8752, 9628, 10467, 11320, 12166, 12973, 13797, 14629,\n", + " 15426, 16242, 17069, 17918, 18773, 19618, 20408, 21216, 22013,\n", + " 22786, 23548, 24315, 25050, 25785, 26514, 27236, 27964, 28701,\n", + " 29458], dtype=int64)" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# From boolean peaks vector to peaks indexs\n", + "peaks_idx = input_conversion(peaks, input_type=\"peaks\", output_type=\"peaks_idx\")\n", + "peaks_idx" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0.89 , 0.796, 0.814, 0.842, 0.808, 0.825, 0.843, 0.825, 0.819,\n", + " 0.859, 0.876, 0.839, 0.853, 0.846, 0.807, 0.824, 0.832, 0.797,\n", + " 0.816, 0.827, 0.849, 0.855, 0.845, 0.79 , 0.808, 0.797, 0.773,\n", + " 0.762, 0.767, 0.735, 0.735, 0.729, 0.722, 0.728, 0.737, 0.757])" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# From peaks index to R-R intervals (seconds)\n", + "rr_s = input_conversion(peaks_idx, input_type=\"peaks_idx\", output_type=\"rr_s\")\n", + "rr_s" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([890., 796., 814., 842., 808., 825., 843., 825., 819., 859., 876.,\n", + " 839., 853., 846., 807., 824., 832., 797., 816., 827., 849., 855.,\n", + " 845., 790., 808., 797., 773., 762., 767., 735., 735., 729., 722.,\n", + " 728., 737., 757.])" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# From R-R intervals (seconds) to R-R intervals (miliseconds)\n", + "rr_ms = input_conversion(rr_s, input_type=\"rr_s\", output_type=\"rr_ms\")\n", + "rr_ms" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R-R intervals and beats per minute" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "As we have seen above, the R-R intervals are simply the time elapsed between one R peak and the next, corresponding to one complete cardiac cycle. Of course, this value is not stable across time, it is updated at each heartbeat, and these beat to beat values can then be transformed to a continuous vector encoding the instantaneous heart rate, expressed in beats per minute (BPM). The conversion from RR-interval in milliseconds to BPM is done using the following formula:\n", + "$$BPM = \\frac{60000}{RR} $$" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "It is worth noting that the conversion from RR intervals to beats per minute involves a non-linear function of the form $\\frac{1}{x}$. This should be taken into account when interpreting the amplitude of changes in heart rate, e.g., when comparing an experimental condition to baseline. For example, increasing the heart rate from 40 to 45 bpm diminishes the RR interval by approximately 167ms, while increasing the heart rate from 120 to 125 bpm decrease RR intervals by only 20ms (see graph below)." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "rr = np.arange(300, 2000, 2)\n", + "plt.figure(figsize=(6, 6))\n", + "plt.plot(60000/rr, rr)\n", + "\n", + "plt.fill_between(x=np.arange(40, 46), y1=60000/np.arange(40, 46), y2=300, alpha=.3, color='#c44e52')\n", + "plt.plot([40, 45], 60000/np.array([40, 45]), 'ko')\n", + "\n", + "plt.fill_between(x=np.arange(120, 126), y1=60000/np.arange(120, 126), y2=300, alpha=.3, color='#c44e52', label='5 BPM')\n", + "plt.plot([120, 125], 60000/np.array([120, 125]), 'ko')\n", + "\n", + "plt.xlabel('BPM')\n", + "plt.ylabel('RR intervals (ms)')\n", + "plt.title('RR intervals - BPM equivalence')\n", + "plt.legend()\n", + "sns.despine()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Interactive visualization" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "R peaks detection and the conversion of the peak to peaks intervals into interpretable heart rate measures are the two building blocks of cardiac signal analysis. [Systole](https://systole-docs.github.io/) lets you execute and plot these processes in one line of code using the `systole.plots.plot_raw()` function. The `plots` module contains several plotting utilities for standard visualization processes in cardiac signal analysis. Each function support two plotting backends: [Matplotlib](https://matplotlib.org/) for static graphs and [Bokeh](https://docs.bokeh.org/en/latest/index.html), for interactive graphs. In the following tutorials, we will use Bokeh as a default rendering backend (see the `backend` argument below). However, it is always possible to plot the same figure using Matplotlib if you do not change this argument. The other arguments here simply specify the modality of the recording, which can currently be `ECG` or `PPG`, and the algorithm to use for R peaks detection. Because we would like to have the Raw ECG signal stacked with the estimated instantaneous heart rate frequency, we set `show_heart_rate` to `True`." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "# Extract 100 seconds of recording for illustration\n", + "signal = ecg_df[ecg_df.time.between(500, 600)].ecg.to_numpy()" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "
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+ } + ], + "source": [ + "show(\n", + " plot_raw(signal, modality='ecg', ecg_method='pan-tompkins', show_heart_rate=True, backend='bokeh')\n", + ")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can see that the Pan-Tompkins algorithm does a good job at detecting the QRS components. We will see in the next tutorial that this algorithm is a great starting point for R peaks detection. Furthermore, looking at the R-R intervals time series, it is also obvious that the heart rate is not constant across time but oscillates according to both higher and lower frequencies. We will investigate these variations later in the section dedicated to heart rate variability." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "---\n", + "## Photoplethysmography (PPG)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "[Photoplethysmography](https://en.wikipedia.org/wiki/Photoplethysmogram) is a non-invasive method used to measure the change of blood volume. This method can be used in addition to or as a replacement for electrocardiography, depending on the exact experimental design or research question. It can be more sensitive to movement, and - depending on the sampling rate - more or less suitable for studying heart rate variability. The PPG signal is characterized by a main **systolic peak**, often (but not always) followed by a smaller **diastolic peak** before the signal returns to origin. The lower point between the systolic and diastolic peak is the **dicrotic notch**. The systolic peaks correspond to the moment where the volume of blood in the blood vessel suddenly increases due to the pressure of the heart contraction. The blood volume measured at the periphery does not change immediately after the cardiac systole, but rather with a delay varying depending on physiological parameters. For this reason, the systolic peak and the R peak are not concomitant but rather delayed, the systolic peak often occurring after the T wave of the ECG. The delay between the R wave on the ECG and the systolic peak can vary between individuals and across time in the same individual according to a variety of physiological parameters." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "tags": [ + "hide-input" + ] + }, + "source": [ + "

" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Let's first import an example dataset from [Systole](https://systole-docs.github.io/). This time series represent a PPG recording from pulse oximeter in a healthy young participant. The sampling rate is 75 Hz." + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [], + "source": [ + "ppg = import_ppg()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Systolic peak detection" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Like for ECG, we can use this signal to estimate the time interval between two heartbeats and assess cardiac activity. The main information of interest we can retrieve from the PPG signal is the timing of the occurrence of the systolic peak. The timing of these events is tightly linked to the occurrence of the R wave (although with a slightly variable delay), and we can use the peak vector resulting from this analysis the same way we analyze the RR interval time series with an ECG signal. Because we are not measuring the heart rate strictly speaking, but the pulse at the periphery of the body, this approach is often termed **pulse rate variability** to distinguish from the heart rate variability that builds on the ECG signal." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can plot the PPG time serie and visualize peak detection and the inter-beat intervals time series using the `plot_raw` function." + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "
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In the next tutorial, we will take a closer examination of how Systole can be used to extract different parameters relating to heart-rate variability. " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**References**\n", + "\n", + "**[1]** Legrand, N., Etard, O., Vandevelde, A., Pierre, M., Viader, F., Clochon, P., Doidy, F., Peschanski, D., Eustache, F., & Gagnepain, P. (2020). Long-term modulation of cardiac activity induced by inhibitory control over emotional memories. Scientific Reports, 10(1). https://doi.org/10.1038/s41598-020-71858-2 **We will use one example recording throughout the tutorial that was acquired using this paradigm**.\n", + "\n", + "**Going further**\n", + "\n", + "Mejía-Mejía E., Allen J., Budidha K., El-Hajj C., Kyriacou P.A. and Charlton P.H., Photoplethysmography Signal Processing and Synthesis. In Photoplethysmography; Kyriacou, P.A., Allen, J., Eds.; Elsevier, 2021. **Book chapter providing an extensive review of photoplethysmogram signal processing methods.**" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.9" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/source/notebooks/2-DetectingCycles.ipynb b/source/notebooks/2-DetectingCycles.ipynb new file mode 100644 index 00000000..2c1b220f --- /dev/null +++ b/source/notebooks/2-DetectingCycles.ipynb @@ -0,0 +1,1179 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "603f9a99", + "metadata": {}, + "source": [ + "Author: Nicolas Legrand " + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "b764409e", + "metadata": { + "tags": [ + "hide-input" + ] + }, + "outputs": [], + "source": [ + "%%capture\n", + "import sys\n", + "if 'google.colab' in sys.modules:\n", + " ! pip install systole" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "292ee766", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "
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i < inline_js.length; i++) {\n inline_js[i].call(root, root.Bokeh);\n }\n if (force === true) {\n display_loaded();\n }} else if (Date.now() < root._bokeh_timeout) {\n setTimeout(run_inline_js, 100);\n } else if (!root._bokeh_failed_load) {\n console.log(\"Bokeh: BokehJS failed to load within specified timeout.\");\n root._bokeh_failed_load = true;\n } else if (force !== true) {\n var cell = $(document.getElementById(\"1002\")).parents('.cell').data().cell;\n cell.output_area.append_execute_result(NB_LOAD_WARNING)\n }\n\n }\n\n if (root._bokeh_is_loading === 0) {\n console.debug(\"Bokeh: BokehJS loaded, going straight to plotting\");\n run_inline_js();\n } else {\n load_libs(css_urls, js_urls, function() {\n console.debug(\"Bokeh: BokehJS plotting callback run at\", now());\n run_inline_js();\n });\n }\n}(window));" + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import os\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "import seaborn as sns\n", + "import numpy as np\n", + "from systole.detection import ppg_peaks, interpolate_clipping, ecg_peaks\n", + "from systole.plots import plot_raw\n", + "from systole import import_dataset1, import_ppg\n", + "from systole import serialSim\n", + "from systole.recording import Oximeter\n", + "\n", + "from bokeh.io import output_notebook\n", + "from bokeh.plotting import show\n", + "output_notebook()\n", + "\n", + "sns.set_context('talk')" + ] + }, + { + "cell_type": "markdown", + "id": "8ed1dd8d", + "metadata": {}, + "source": [ + "# Detecting cardiac cycles" + ] + }, + { + "cell_type": "markdown", + "id": "d983c727", + "metadata": {}, + "source": [ + "This notebook focuses on the characterisation of cardiac cycles from the physiological signals we previously described (PPG and ECG). Here we only briefly mention different QRS-detection algorithms as related to the estimation of heart rate frequency, which is a commonly used measure in psychology and cognitive science. However, both the ECG and the PPG signals contain rich information beyond the beat to beat frequency that is relevant for cognitive and physiological modelling. All these approaches are not fully covered by [Systole](https://systole-docs.github.io/), but are implemented in other software (e.g see **[1]** for ECG components delineation).\n", + "\n", + "In this notebook, we are going to review the peak detection algorithm, which future tutorials covering, for example, heart-rate variability will build upon. Here our intention is to provide a better intuition of what is happening in our peak detection algorithms, the corrections that can be applied, and the possible bias and artefacts that can emerge. However, you do not need a perfect understanding of all these steps if you want to apply peak detection to youre data, and you might also consider skipping this part to proceed directly to the next tutorial focusing on artefact detection and correction." + ] + }, + { + "cell_type": "markdown", + "id": "2a6c7c92", + "metadata": {}, + "source": [ + "## Electrocardiography" + ] + }, + { + "cell_type": "markdown", + "id": "a872e751", + "metadata": {}, + "source": [ + "Because we will ultimately be interested in heart rate and its variability, our first goal will be to detect the R peaks. We will use the `ecg_peaks()` function provided by Systole to perform R peak detection. This function is a simple wrapper for well-known peak detection algorithms that are implemented in the [py-ecg-detectors module](https://github.com/berndporr/py-ecg-detectors) **[2]**. The detection algorithm can be selected via the `ecg_method` parameter, it should be among the following: `hamilton`, `christov`, `engelse-zeelenberg`, `pan-tompkins`, `wavelet-transform`, `moving-average`. In this tutorial, we will use the [pan-tompkins algorithm](https://en.wikipedia.org/wiki/Pan%E2%80%93Tompkins_algorithm) **[3]** as it is a fast, well-perfoming, and commonly used algorithm for QRS detection." + ] + }, + { + "cell_type": "markdown", + "id": "bf42b588", + "metadata": {}, + "source": [ + "Let's first load an ECG recording. Here, we will select a 5 minute interval and compare the performances of the different algorithms supported by Systole." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "f2e70748", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Downloading ECG channel: 100%|███████████████████████████████████████████████████████████| 1/1 [00:03<00:00, 3.42s/it]\n" + ] + } + ], + "source": [ + "# Import ECg recording\n", + "ecg_df = import_dataset1(modalities=['ECG'])\n", + "signal = ecg_df[ecg_df.time.between(60, 360)].ecg.to_numpy() # Select 5 minutes" + ] + }, + { + "cell_type": "markdown", + "id": "2db824d1", + "metadata": {}, + "source": [ + "### Detecting R peaks\n", + "The main feature that we can extract from the ECG recording is the R wave (see image in notebook 1). A large variety of algorithms have been proposed to extract the timing of R waves while controlling for signal noise and physiological variability. Reviewing and comparing all of the available methods is beyond the scope of this tutorial. Here, we are going to restrict our focus to some of the most popular methods, which also are available in the Python opensource ecosystem (`hamilton`, `christov`, `engelse-zeelenberg`, `pan-tompkins`, and `moving-average`. These methods were implemented originally in the [py-ecg-detectors module](https://github.com/berndporr/py-ecg-detectors) - Systole includes a modified version that runs with the [Numba](http://numba.pydata.org/) package for better performance, resulting in 7-30x faster estimation, depending on the algorithm." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "8339488d", + "metadata": {}, + "outputs": [], + "source": [ + "from systole.detectors import pan_tompkins, hamilton, moving_average, christov, engelse_zeelenberg" + ] + }, + { + "cell_type": "markdown", + "id": "ed222ec3", + "metadata": {}, + "source": [ + "#### Pan-Tompkins\n", + "\n", + "The [Pan-Tompkins algorithm](https://en.wikipedia.org/wiki/Pan%E2%80%93Tompkins_algorithm) was introduced in 1985. It uses band-pass filtering and derivation to identify the QRS complex and apply an adaptive threshold to detect the R peaks on the filtered signal.\n", + "\n", + "This is a very popular - maybe to most popular - method for R peaks detection. One of the advantages is that it can easily be applied for online detection (see [this implementation](https://github.com/c-labpl/qrs_detector) for example). As we can see in the timing report, this algorithm is also the fastest among those available in the Systole toolbox, making ideal for applications such as online peak detection and biofeedback. You can also see that the algorithm's peak detection is highly accurate as we do not see any artifacts in the estimated R-R time series. One notable exception is the first peak which has been estimated incorrectly. This is due to the filtering steps in the Pan-Tompkins algorithms, and can be corrected by using a slightly longer signal than the range of interest." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "ea576b0d", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "12.5 ms ± 365 µs per loop (mean ± std. dev. of 7 runs, 1 loop each)\n" + ] + } + ], + "source": [ + "%%timeit\n", + "peaks_pt = pan_tompkins(signal, sfreq=1000)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "a9f71ec4", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "
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+ } + ], + "source": [ + "show(\n", + " plot_raw(signal, modality='ecg', ecg_method='pan-tompkins', backend='bokeh', show_heart_rate=True)\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "48873d90", + "metadata": {}, + "source": [ + "#### Moving average" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "40427901", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "20.8 ms ± 1.6 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n" + ] + } + ], + "source": [ + "%%timeit\n", + "peaks_wa = ecg_peaks(signal, sfreq=1000, method=\"moving-average\")" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "84ac1975", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "
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embed_document(root);\n", + " } else {\n", + " var attempts = 0;\n", + " var timer = setInterval(function(root) {\n", + " if (root.Bokeh !== undefined) {\n", + " clearInterval(timer);\n", + " embed_document(root);\n", + " } else {\n", + " attempts++;\n", + " if (attempts > 100) {\n", + " clearInterval(timer);\n", + " console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n", + " }\n", + " }\n", + " }, 10, root)\n", + " }\n", + "})(window);" + ], + "application/vnd.bokehjs_exec.v0+json": "" + }, + "metadata": { + "application/vnd.bokehjs_exec.v0+json": { + "id": "1716" + } + }, + "output_type": "display_data" + } + ], + "source": [ + "show(\n", + " plot_raw(signal, modality='ecg', ecg_method='moving-average', backend='bokeh', show_heart_rate=True)\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "ab775466", + "metadata": {}, + "source": [ + "#### Hamilton" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "8075f971", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "21.3 ms ± 1.13 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n" + ] + } + ], + "source": [ + "%%timeit\n", + "peaks_ha = hamilton(signal, sfreq=1000)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "58708b60", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "
\n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "application/javascript": [ + "(function(root) {\n", + " function embed_document(root) {\n", + " \n", + " var docs_json = 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embed_document(root);\n", + " } else {\n", + " attempts++;\n", + " if (attempts > 100) {\n", + " clearInterval(timer);\n", + " console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n", + " }\n", + " }\n", + " }, 10, root)\n", + " }\n", + "})(window);" + ], + "application/vnd.bokehjs_exec.v0+json": "" + }, + "metadata": { + "application/vnd.bokehjs_exec.v0+json": { + "id": "2329" + } + }, + "output_type": "display_data" + } + ], + "source": [ + "show(\n", + " plot_raw(signal, modality='ecg', ecg_method='hamilton', backend='bokeh', show_heart_rate=True)\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "99797a2f", + "metadata": {}, + "source": [ + "#### Christov" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "64c717a7", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "216 ms ± 7.54 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n" + ] + } + ], + "source": [ + 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Application\",\"version\":\"2.3.3\"}};\n", + " var render_items = [{\"docid\":\"6ddda039-7391-4c8c-8919-a88481a4980d\",\"root_ids\":[\"3006\"],\"roots\":{\"3006\":\"bac995be-468b-40b7-9848-4ecda22f9653\"}}];\n", + " root.Bokeh.embed.embed_items_notebook(docs_json, render_items);\n", + "\n", + " }\n", + " if (root.Bokeh !== undefined) {\n", + " embed_document(root);\n", + " } else {\n", + " var attempts = 0;\n", + " var timer = setInterval(function(root) {\n", + " if (root.Bokeh !== undefined) {\n", + " clearInterval(timer);\n", + " embed_document(root);\n", + " } else {\n", + " attempts++;\n", + " if (attempts > 100) {\n", + " clearInterval(timer);\n", + " console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n", + " }\n", + " }\n", + " }, 10, root)\n", + " }\n", + "})(window);" + ], + "application/vnd.bokehjs_exec.v0+json": "" + }, + "metadata": { + "application/vnd.bokehjs_exec.v0+json": { + "id": "3006" + } + }, + "output_type": "display_data" + } + ], + "source": [ + "show(\n", + " plot_raw(signal, modality='ecg', ecg_method='christov', backend='bokeh', show_heart_rate=True)\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "b342646d", + "metadata": {}, + "source": [ + "#### Engelse-Zeelenberg" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "72854c66", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "88.6 ms ± 7.22 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n" + ] + } + ], + "source": [ + "%%timeit\n", + "peaks_ew = engelse_zeelenberg(signal, sfreq=1000)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "58caeb66", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "
\n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "application/javascript": [ + "(function(root) {\n", + " function embed_document(root) {\n", + " \n", + " var docs_json = {\"e9534b2d-587f-4fcb-8938-0e3092d025d6\":{\"defs\":[],\"roots\":{\"references\":[{\"attributes\":{\"children\":[{\"id\":\"3584\"},{\"id\":\"3676\"},{\"id\":\"3722\"}],\"sizing_mode\":\"stretch_width\"},\"id\":\"3747\",\"type\":\"Column\"},{\"attributes\":{\"days\":[1,8,15,22]},\"id\":\"4044\",\"type\":\"DaysTicker\"},{\"attributes\":{\"overlay\":{\"id\":\"3701\"}},\"id\":\"3698\",\"type\":\"BoxSelectTool\"},{\"attributes\":{},\"id\":\"4050\",\"type\":\"YearsTicker\"},{\"attributes\":{\"axis_label\":\"R-R interval 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setInterval(function(root) {\n", + " if (root.Bokeh !== undefined) {\n", + " clearInterval(timer);\n", + " embed_document(root);\n", + " } else {\n", + " attempts++;\n", + " if (attempts > 100) {\n", + " clearInterval(timer);\n", + " console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n", + " }\n", + " }\n", + " }, 10, root)\n", + " }\n", + "})(window);" + ], + "application/vnd.bokehjs_exec.v0+json": "" + }, + "metadata": { + "application/vnd.bokehjs_exec.v0+json": { + "id": "3747" + } + }, + "output_type": "display_data" + } + ], + "source": [ + "show(\n", + " plot_raw(signal, modality='ecg', ecg_method='engelse-zeelenberg', backend='bokeh', show_heart_rate=True)\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "c716666c", + "metadata": {}, + "source": [ + "## Photoplethysmography" + ] + }, + { + "cell_type": "markdown", + "id": "05153037", + "metadata": {}, + "source": [ + "### Systolic peaks detection" + ] + }, + { + "cell_type": "markdown", + "id": "2d568530", + "metadata": {}, + "source": [ + "#### Online" + ] + }, + { + "cell_type": "markdown", + "id": "cf33e7a4", + "metadata": {}, + "source": [ + "Let's first simulate some PPG recording. Here, we will use the `serialSim` class from Systole in conjunction with the `Oximeter` recording class. This will *simulate* the presence of a pulse oximeter on the computer and provide the information from a pre-recorded signal in real time. Simulating synthetic cardiac data in this way can be a great way to test your data analysis pipelines before collecting data - avoiding painful mistakes that can occur! " + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "f4dd31f8", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Reset input buffer\n" + ] + } + ], + "source": [ + "# Pulse oximeter simulation\n", + "ser = serialSim()\n", + "\n", + "# Create an Oxymeter instance, initialize recording and record for 10 seconds\n", + "oxi = Oximeter(serial=ser, sfreq=75).setup()\n", + "oxi.read(20);" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "631c99c7", + "metadata": {}, + "outputs": [], + "source": [ + "# Retrieve the data from the oxi class\n", + "times = np.array(oxi.times)\n", + "threshold = np.array(oxi.threshold)\n", + "recording = np.array(oxi.recording)\n", + "peaks = np.array(oxi.peaks)" + ] + }, + { + "cell_type": "markdown", + "id": "d4a42300", + "metadata": {}, + "source": [ + "This method uses the derivative to find peaks in the signal and select them based on and adaptive threshold based on the rolling mean and rolling standard deviation in a given time window." + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "29378e12", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(15, 5))\n", + "ax.set_title(\"Oximeter recording\")\n", + "\n", + "ax.plot(times, threshold, linestyle=\"--\", color=\"gray\", label=\"Threshold\", linewidth=1.5)\n", + "ax.fill_between(\n", + " x=times, y1=threshold, y2=recording.min(), alpha=0.2, color=\"gray\"\n", + ")\n", + "ax.plot(times, recording, label=\"Recording\", color=\"#4c72b0\", linewidth=1.5)\n", + "ax.fill_between(x=times, y1=recording, y2=recording.min(), color=\"w\")\n", + "ax.scatter(x=times[np.where(peaks)[0]], y=recording[np.where(peaks)[0]],\n", + " color=\"#c44e52\", alpha=.6, label=\"Online estimation\",\n", + " edgecolors='k')\n", + "ax.set_ylabel(\"PPG level\")\n", + "ax.set_xlabel(\"Time (s)\")\n", + "ax.legend()\n", + "sns.despine()" + ] + }, + { + "cell_type": "markdown", + "id": "90e16561", + "metadata": {}, + "source": [ + "#### Offline" + ] + }, + { + "cell_type": "markdown", + "id": "5df44934", + "metadata": {}, + "source": [ + "A simple online approach like the one we described is usually good enough to detect all the systolic peaks, provided that the subject is not moving too much. " + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "b540be8b", + "metadata": {}, + "outputs": [], + "source": [ + "ppg = import_ppg()" + ] + }, + { + "cell_type": "markdown", + "id": "a173480c", + "metadata": {}, + "source": [ + "**Clipping artefacts**" + ] + }, + { + "cell_type": "markdown", + "id": "7bc122cc", + "metadata": {}, + "source": [ + "Clipping is a form of distortion that can limit signal when it exceeds a certain threshold [see the Wikipedia page](https://en.wikipedia.org/wiki/Clipping_(signal_processing)). Some PPG devices can produce clipping artefacts when recording the PPG signal, for example if a participant is pressing too hard on the fingerclip. Here, we can see that some clipping artefacts are found between 100 and 150 seconds in the previous recording. The threshold values (here `255`), is often set by the device and can easily be found depending on the manufacturer. These artefacts should be corrected before systolic peaks detection. One way to correct these artefacts is to remove the portion of the signal where clipping artefacts occurs and use cubic spline interpolation to reconstruct a plausible estimate of the *real* underlying signal. This is what the function `interpolate_clipping()` does **[4]**." + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "90bdc226", + "metadata": {}, + "outputs": [], + "source": [ + "signal = ppg[ppg.time.between(110, 113)].ppg.to_numpy() # Extract a portion of signal with clipping artefacts\n", + "clean_signal = interpolate_clipping(signal, threshold=255) # Remove clipping segment and interpolate missing calues" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "49d5493a", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(15, 5))\n", + "plt.plot(np.arange(0, len(clean_signal))/75, clean_signal, label='Corrected PPG signal', linestyle= '--', color='#c44e52')\n", + "plt.plot(np.arange(0, len(signal))/75, signal, label='Raw PPG signal', color='#4c72b0')\n", + "plt.legend()\n", + "plt.xlabel('Time (s)')\n", + "plt.ylabel('PPG level (a.u)')\n", + "sns.despine()\n", + "plt.tight_layout()" + ] + }, + { + "cell_type": "markdown", + "id": "e21f3557", + "metadata": {}, + "source": [ + "This concludes the tutorial on using Systole to detect individual heartbeats and to reject common ECG and PPG artefacts. The next tutorial will go further into more nuanced issues in artefact detection and correction. " + ] + }, + { + "cell_type": "markdown", + "id": "24b7e1af", + "metadata": {}, + "source": [ + "**References**\n", + "\n", + "**[1]** Makowski, D., Pham, T., Lau, Z. J., Brammer, J. C., Lespinasse, F., Pham, H., Schölzel, C., & Chen, S. A. (2021). NeuroKit2: A Python toolbox for neurophysiological signal processing. Behavior Research Methods. https://doi.org/10.3758/s13428-020-01516-y **P, Q, S and T waves detection in the ECG signal. See also this tutorial:** https://neurokit2.readthedocs.io/en/latest/examples/ecg_delineate.html\n", + "\n", + "**[2]** Porr, B., & Howell, L. (2019). R-peak detector stress test with a new noisy ECG database reveals significant performance differences amongst popular detectors. Cold Spring Harbor Laboratory. https://doi.org/10.1101/722397 **Python implementation of famous R peak detection algorithms tested against large dataset**.\n", + "\n", + "**[3]** Pan, Jiapu; Tompkins, Willis J. (March 1985). \"A Real-Time QRS Detection Algorithm\". IEEE Transactions on Biomedical Engineering. BME-32 (3): 230–236. doi:10.1109/TBME.1985.325532 **This paper describes the first implementation of the Pan-Tompkins algorithm**\n", + "\n", + "**[4]** van Gent, P., Farah, H., van Nes, N., & van Arem, B. (2019). HeartPy: A novel heart rate algorithm for the analysis of noisy signals. *Transportation Research Part F: Traffic Psychology and Behaviour, 66, 368–378*. https://doi.org/10.1016/j.trf.2019.09.015 **This paper describes of a simple systolic peak detection algorithm and clipping artefacts correction**." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "8e6b2328", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.9" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/source/notebooks/3-DetectingAndCorrectingArtefacts.ipynb b/source/notebooks/3-DetectingAndCorrectingArtefacts.ipynb new file mode 100644 index 00000000..954e886c --- /dev/null +++ b/source/notebooks/3-DetectingAndCorrectingArtefacts.ipynb @@ -0,0 +1,1223 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "942f3e00", + "metadata": {}, + "source": [ + "Author: Nicolas Legrand " + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "e5b0b062", + "metadata": { + "tags": [ + "hide-input" + ] + }, + "outputs": [], + "source": [ + "%%capture\n", + "import sys\n", + "if 'google.colab' in sys.modules:\n", + " ! pip install systole" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "b0d681b4", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "
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i < inline_js.length; i++) {\n inline_js[i].call(root, root.Bokeh);\n }\n if (force === true) {\n display_loaded();\n }} else if (Date.now() < root._bokeh_timeout) {\n setTimeout(run_inline_js, 100);\n } else if (!root._bokeh_failed_load) {\n console.log(\"Bokeh: BokehJS failed to load within specified timeout.\");\n root._bokeh_failed_load = true;\n } else if (force !== true) {\n var cell = $(document.getElementById(\"1002\")).parents('.cell').data().cell;\n cell.output_area.append_execute_result(NB_LOAD_WARNING)\n }\n\n }\n\n if (root._bokeh_is_loading === 0) {\n console.debug(\"Bokeh: BokehJS loaded, going straight to plotting\");\n run_inline_js();\n } else {\n load_libs(css_urls, js_urls, function() {\n console.debug(\"Bokeh: BokehJS plotting callback run at\", now());\n run_inline_js();\n });\n }\n}(window));" + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import pandas as pd\n", + "import numpy as np\n", + "import seaborn as sns\n", + "import matplotlib.pyplot as plt\n", + "from systole.detection import ecg_peaks\n", + "from systole.correction import correct_rr, correct_peaks\n", + "from systole.plots import plot_subspaces, plot_raw, plot_rr, plot_frequency, plot_evoked\n", + "from systole import import_dataset1\n", + "from systole.utils import input_conversion\n", + "\n", + "from bokeh.io import output_notebook\n", + "from bokeh.plotting import show\n", + "output_notebook()\n", + "\n", + "sns.set_context('talk')" + ] + }, + { + "cell_type": "markdown", + "id": "05403939", + "metadata": {}, + "source": [ + "# Detecting and correcting artefacts\n", + "In this notebook, we introduce two methods for artefact detection and correction based on the peaks vector or the RR time series, respectively. ECG and PPG recording and the resulting R-R interval time series can be noisy, either due to artefacts in the signal or invalid peak detection. Common sources of signal artefacts in the signal are participant movements or sub-optimal recording setup (e.g., power line noise). These artefacts can be attenuated or removed by using appropriate filtering approaches, or ultimately by checking the recorded signal and manually correcting the time series. However, even when using valid ECG and PPG recording, the heart can adapt its frequency in a way that can appear unlikely considering the RR intervals distributions and dynamics. Artefact detection and correction methods try to dissociate true artefacts induced by low-quality signals and irregular heart rate frequency." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "e763c6bf", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Downloading Stim channel: 100%|██████████████████████████████████████████████████████████| 2/2 [00:07<00:00, 3.66s/it]\n" + ] + } + ], + "source": [ + "# Import ECg recording\n", + "ecg_df = import_dataset1(modalities=['ECG', \"Stim\"])\n", + "\n", + "# Select the first minute of recording\n", + "signal = ecg_df.ecg.to_numpy()\n", + "\n", + "# R peaks detection\n", + "signal, peaks = ecg_peaks(signal, method='pan-tompkins', sfreq=1000)\n", + "\n", + "# Convert peaks vector to RR time series\n", + "rr = input_conversion(peaks, input_type='peaks', output_type='rr_ms')" + ] + }, + { + "cell_type": "markdown", + "id": "b1ac2aa7", + "metadata": {}, + "source": [ + "Following **[1]**, we distinguish between three kinds of irregular RR intervals, aka inter-beat intervals (IBIs):\n", + "1. Missing R peaks / long beats. This artefact corresponds to an interval that is longer than expected. The missed peaks suggest that an actual heartbeat was not correctly detected.\n", + "2. Extra R peaks or short beats. This artefact corresponds to an interval that is shorter than expected. The extra peak suggests that an R wave is erroneously detected.\n", + "3. Ectopic beats forming negative-positive-negative (NPN) or positive-negative-positive (PNP) segments.\n", + "\n", + "Heart rate variability metrics are highly sensitive to such R-R artefacts, it is therefore critical to perform a careful artefact detection and correction procedure before extracting the heart rate variability metrics." + ] + }, + { + "cell_type": "markdown", + "id": "53a0b35b", + "metadata": {}, + "source": [ + "## Artefacts detection\n", + "[Systole](https://systole-docs.github.io/) implements artefact detection based on adaptive thresholding of first and second derivatives of the R-R interval time series (see **[1]** for a description of the method). One way to visualize the distribution of regular and irregular intervals is to use the transformation plotted below, which can be used to detect ectopic beats and long/short intervals. In the figure, the grey areas indicate the range of unlikely values considering each artefacts subtype. The intervals that are falling in these areas will be labelled as irregular." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "c0d5c07a", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "
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\",\"dtype\":\"float64\",\"order\":\"little\",\"shape\":[1937]},\"nbeat\":{\"__ndarray__\":\"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[{\"docid\":\"0259cf09-33fa-426c-925a-16f4d4e281ca\",\"root_ids\":[\"1801\"],\"roots\":{\"1801\":\"a4d22300-75c7-4066-899d-7c45ded6ee9c\"}}];\n", + " root.Bokeh.embed.embed_items_notebook(docs_json, render_items);\n", + "\n", + " }\n", + " if (root.Bokeh !== undefined) {\n", + " embed_document(root);\n", + " } else {\n", + " var attempts = 0;\n", + " var timer = setInterval(function(root) {\n", + " if (root.Bokeh !== undefined) {\n", + " clearInterval(timer);\n", + " embed_document(root);\n", + " } else {\n", + " attempts++;\n", + " if (attempts > 100) {\n", + " clearInterval(timer);\n", + " console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n", + " }\n", + " }\n", + " }, 10, root)\n", + " }\n", + "})(window);" + ], + "application/vnd.bokehjs_exec.v0+json": "" + }, + "metadata": { + "application/vnd.bokehjs_exec.v0+json": { + "id": "1801" + } + }, + "output_type": "display_data" + } + ], + "source": [ + "show(\n", + " plot_raw(signal, backend='bokeh', show_artefacts=True, show_heart_rate=True, figsize=300)\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "001ca6e5", + "metadata": {}, + "source": [ + "As we can see in the figure above, the majority of detected R peaks are correctly localized, and the RR interval time series for the most part well estimated. There are few notable exceptions however, including extra R waves and the erroneous detection of artefacts around these areas. Note that, because the artefact detection method uses different orders of the derivative to estimate the regularity of the interval, the presence of actual artefacts can distort this process and induce false-positive around the true artefacts. That is why data cleaning should proceed first with the correction of the more salient divergences (i.e., missed and extra peaks) before correcting the less salient ones (i.e., long and short peaks). The correction of ectopic beats is more nuanced and depends on the exact experimental context (see below)." + ] + }, + { + "cell_type": "markdown", + "id": "c6a4cd71", + "metadata": {}, + "source": [ + "## Artefact correction" + ] + }, + { + "cell_type": "markdown", + "id": "9703dc20", + "metadata": {}, + "source": [ + "Well-calibrated automated R-R intervals artefact detection can often find issues that mere visual inspection of raw data may miss. Corrected these artefacts can in turn help to estimate heart rate variability more accurately, limiting the occurence of erroneous conclusions (i.e., type-I and type-II errors). The appropriate correction method depends on the nature of the artefact. It can be something that you might want to code yourself or correct manually by placing or removing peaks in the raw signal. It can also be a more automated process - regardless of the choice of automatic or manual correction, the correction procedure should be documented in a transparent and reproducible manner.\n", + "\n", + "Systole provides two correction methods (`correct_rr` and `correct_peaks`). The choice between these two methods mostly depends on the level of signal preservation we want to achieve after correction: do we want to recreate a new RR time series that does not contains irregular intervals, or do we want a better detection of the R peaks themselves?\n", + "\n", + "1. **correct_rr**: will operate on the RR time series directly and will return another time series that *can have a different timing* (as the cumulative sum of the R interval will change).\n", + "2. **correct_peaks**: will operate on the peaks vector directly. The number of peaks (and therefore the RR intervals) can vary, but the timing will remain constant.\n", + "\n", + "The approach is often prefered for heart rate variability studies. In this case, long recordings of the heart rate (>5 minutes) are used and a robust estimate of some HRV metrics is estimated. Because we do not want this estimate to be contaminated by extreme RR intervals or even smaller deviations, those intervals are corrected by interpolation to make the time series as standard as possible, sacrificing the temporal precision of the heartbeat occurrence.\n", + "\n", + "The second method is more appropriate when the temporal precision of the heartbeat detection is relevant (this can concern heartbeat evoked potentials or instantaneous heart rate variability when it is time-locked to some specific stimuli, see tutorial **5)**. In this case, instead of blind interpolation, the raw signal time series can be used to re-estimate the peaks." + ] + }, + { + "cell_type": "markdown", + "id": "2307b281", + "metadata": {}, + "source": [ + "### Correcting atefacts in RR time series" + ] + }, + { + "cell_type": "markdown", + "id": "6d184cbc", + "metadata": {}, + "source": [ + "**Note:** see also the example `Detecting and correcting artefacts in RR time series` in the example gallery.\n", + "\n", + "To illustrate how the `correct_rr` method can remove RR artefacts, we will use the RR interval time series extracted from the previous recording." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "2e955c0f", + "metadata": {}, + "outputs": [], + "source": [ + "# Convert the peaks vector into RR intervals time series.\n", + "rr_ms = input_conversion(peaks, input_type=\"peaks\", output_type=\"rr_ms\")" + ] + }, + { + "cell_type": "markdown", + "id": "1d7945ef", + "metadata": {}, + "source": [ + "#### Creating artefacts" + ] + }, + { + "cell_type": "markdown", + "id": "c851143c", + "metadata": {}, + "source": [ + "For now, this time series it not severely artefacted. But we can easily simulate missed peaks and extra peaks by manually increasing or decreasing the length of some RR intervals." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "09f8d63f", + "metadata": {}, + "outputs": [], + "source": [ + "np.random.seed(123) # For result reproducibility\n", + "\n", + "corrupted_rr = rr_ms.copy() # Create a new RR intervals vector\n", + "\n", + "# Randomly select 50 intervals in the time series and multiply them by 2 (missed peaks)\n", + "corrupted_rr[np.random.choice(len(corrupted_rr), 50)] *= 2\n", + "\n", + "# Randomly select 50 intervals in the time series and divide them by 3 (missed peaks)\n", + "corrupted_rr[np.random.choice(len(corrupted_rr), 50)] /= 3" + ] + }, + { + "cell_type": "markdown", + "id": "b9ce9b06", + "metadata": {}, + "source": [ + "Lets see if the artefact we created are correctly detected. Note that here, we are using `show_artefacts=True` so the artefacts detection runs automatically and shows in the plot." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "01c22af9", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "
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\",\"dtype\":\"float64\",\"order\":\"little\",\"shape\":[1936]},\"nbeat\":{\"__ndarray__\":\"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Application\",\"version\":\"2.3.3\"}};\n", + " var render_items = [{\"docid\":\"d1759672-6eca-4c4f-aa2a-70a5284cf641\",\"root_ids\":[\"2416\"],\"roots\":{\"2416\":\"1da2611a-0216-413f-b76e-4e116042b17d\"}}];\n", + " root.Bokeh.embed.embed_items_notebook(docs_json, render_items);\n", + "\n", + " }\n", + " if (root.Bokeh !== undefined) {\n", + " embed_document(root);\n", + " } else {\n", + " var attempts = 0;\n", + " var timer = setInterval(function(root) {\n", + " if (root.Bokeh !== undefined) {\n", + " clearInterval(timer);\n", + " embed_document(root);\n", + " } else {\n", + " attempts++;\n", + " if (attempts > 100) {\n", + " clearInterval(timer);\n", + " console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n", + " }\n", + " }\n", + " }, 10, root)\n", + " }\n", + "})(window);" + ], + "application/vnd.bokehjs_exec.v0+json": "" + }, + "metadata": { + "application/vnd.bokehjs_exec.v0+json": { + "id": "2416" + } + }, + "output_type": "display_data" + } + ], + "source": [ + "show(\n", + " plot_rr(corrupted_rr, input_type=\"rr_ms\", show_artefacts=True, line=False, backend=\"bokeh\", figsize=300)\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "669cade0", + "metadata": {}, + "source": [ + "#### Correcting artefacts" + ] + }, + { + "cell_type": "markdown", + "id": "a7ca04e5", + "metadata": {}, + "source": [ + "The artefacts simulation seems to work fine so far. We have created abnormal long and short RR intervals and they are later correctly detected. We can now apply the RR time series correction method. This function will automatically detect possible artefacts in the RR intervals and reconstruct the most probable value using time series interpolation. The number of iteration is set to `2` by default, we add it here for clarity." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "f0e42229", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cleaning the RR interval time series using 2 iterations.\n", + " - Iteration 1 - \n", + "... correcting 43 missed interval(s).\n", + "... correcting 18 ectopic interval(s).\n", + "... correcting 51 short interval(s).\n", + "... correcting 7 long interval(s).\n", + " - Iteration 2 - \n", + "... correcting 1 missed interval(s).\n", + "... correcting 4 ectopic interval(s).\n" + ] + } + ], + "source": [ + "rr_correction = correct_rr(corrupted_rr, n_iterations=2)" + ] + }, + { + "cell_type": "markdown", + "id": "8e44e5e2", + "metadata": {}, + "source": [ + "Let's now have a look at the corrected RR time series." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "f9b08ac2", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "
\n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "application/javascript": [ + "(function(root) {\n", + " function embed_document(root) {\n", + " \n", + " var docs_json = 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\",\"dtype\":\"float64\"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[1980]}},\"selected\":{\"id\":\"3001\"},\"selection_policy\":{\"id\":\"3000\"}},\"id\":\"2795\",\"type\":\"ColumnDataSource\"}],\"root_ids\":[\"2830\"]},\"title\":\"Bokeh Application\",\"version\":\"2.3.3\"}};\n", + " var render_items = [{\"docid\":\"b72f536a-a01a-4a1f-b8a0-99625afed2e9\",\"root_ids\":[\"2830\"],\"roots\":{\"2830\":\"387633ee-bb8d-49d5-b44e-617319351369\"}}];\n", + " root.Bokeh.embed.embed_items_notebook(docs_json, render_items);\n", + "\n", + " }\n", + " if (root.Bokeh !== undefined) {\n", + " embed_document(root);\n", + " } else {\n", + " var attempts = 0;\n", + " var timer = setInterval(function(root) {\n", + " if (root.Bokeh !== undefined) {\n", + " clearInterval(timer);\n", + " embed_document(root);\n", + " } else {\n", + " attempts++;\n", + " if (attempts > 100) {\n", + " clearInterval(timer);\n", + " console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n", + " }\n", + " }\n", + " }, 10, root)\n", + " }\n", + "})(window);" + ], + "application/vnd.bokehjs_exec.v0+json": "" + }, + "metadata": { + "application/vnd.bokehjs_exec.v0+json": { + "id": "2830" + } + }, + "output_type": "display_data" + } + ], + "source": [ + "show(\n", + " plot_rr(rr_correction[\"clean_rr\"], input_type='rr_ms', backend=\"bokeh\", show_artefacts=True, line=False, figsize=300)\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "0660450f", + "metadata": {}, + "source": [ + "#### Visualization of the correction quality" + ] + }, + { + "cell_type": "markdown", + "id": "d6069f40", + "metadata": {}, + "source": [ + "We can see that after two iterations, nearly all of of the artefacts have been corrected. This does not means that the new values match exactly the RR intervals, and the new corrected time series will always slightly differ from the original one. However, we can estimate how large this difference is by comparing the true, corrupted and corrected time series a posteriori. Here, instead of comparing the time series side by side, we can inspect HRV metrics that are known to be affected by RR artefacts, like the high frequency HRV." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "11bbc951", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "_, axs = plt.subplots(1, 3, figsize=(18, 6), sharey=True)\n", + "for i, rr, lab in zip(range(3), \n", + " [rr_ms, corrupted_rr, rr_correction[\"clean_rr\"]],\n", + " [\"Original\", \"Corrupted\", \"Corrected\"]):\n", + " plot_frequency(rr, input_type=\"rr_ms\", ax=axs[i])\n", + " axs[i].set_title(lab)" + ] + }, + { + "cell_type": "markdown", + "id": "da5ee8b6", + "metadata": {}, + "source": [ + "### Correcting artefacts in peaks vector" + ] + }, + { + "cell_type": "markdown", + "id": "93e4427f", + "metadata": {}, + "source": [ + "**Note:** see also the exxample `Detecting and correcting artefacts in RR time series` in the example gallery.\n", + "\n", + "Here, we are going to use the same recording, but this time correcting directly the peaks vector to demonstrate the use of `correct_peaks`." + ] + }, + { + "cell_type": "markdown", + "id": "8e29fc19", + "metadata": {}, + "source": [ + "#### Creating artefacts" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "3620e424", + "metadata": {}, + "outputs": [], + "source": [ + "np.random.seed(123) # For result reproductibility\n", + "\n", + "corrupted_peaks = peaks.copy() # Create a new RR intervals vector\n", + "\n", + "# Randomly select 50 peaks in the peask vector and set it to 0 (missed peaks)\n", + "corrupted_peaks[np.random.choice(np.where(corrupted_peaks)[0], 50)] = 0\n", + "\n", + "# Randomly add 50 intervals in the peaks vector (extra peaks)\n", + "corrupted_peaks[np.random.choice(len(corrupted_peaks), 50)] = 1" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "3397e835", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "
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interval (ms)\",\"formatter\":{\"id\":\"3264\"},\"major_label_policy\":{\"id\":\"3262\"},\"ticker\":{\"id\":\"3231\"}},\"id\":\"3230\",\"type\":\"LinearAxis\"}],\"root_ids\":[\"3435\"]},\"title\":\"Bokeh Application\",\"version\":\"2.3.3\"}};\n", + " var render_items = [{\"docid\":\"52406319-d216-42c4-ae65-ff27d3740a89\",\"root_ids\":[\"3435\"],\"roots\":{\"3435\":\"9679ed29-8d33-4cf1-b54b-401c74daad6b\"}}];\n", + " root.Bokeh.embed.embed_items_notebook(docs_json, render_items);\n", + "\n", + " }\n", + " if (root.Bokeh !== undefined) {\n", + " embed_document(root);\n", + " } else {\n", + " var attempts = 0;\n", + " var timer = setInterval(function(root) {\n", + " if (root.Bokeh !== undefined) {\n", + " clearInterval(timer);\n", + " embed_document(root);\n", + " } else {\n", + " attempts++;\n", + " if (attempts > 100) {\n", + " clearInterval(timer);\n", + " console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n", + " }\n", + " }\n", + " }, 10, root)\n", + " }\n", + "})(window);" + ], + "application/vnd.bokehjs_exec.v0+json": "" + }, + "metadata": { + "application/vnd.bokehjs_exec.v0+json": { + "id": "3435" + } + }, + "output_type": "display_data" + } + ], + "source": [ + "show(\n", + " plot_rr(corrupted_peaks, input_type=\"peaks\", show_artefacts=True, line=False, backend=\"bokeh\", figsize=300)\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "acce43cf", + "metadata": {}, + "source": [ + "#### Correcting artefacts" + ] + }, + { + "cell_type": "markdown", + "id": "7d27eeee", + "metadata": {}, + "source": [ + "Again, the simulated artefact detection has worked as intended. We can now apply the peak correction method. This function will automatically detect possible artefacts in the peak vector and reconstruct the most coherent values using time series interpolation. The number of iteration is set to `2` by default, we add it here for clarity. Here, the `correct_peaks` function only correct for extra and missed peaks. This feature is intentional and reflects the notion that only artefacts in R peaks detection should be corrected, but \"true\" intervals that are anomaly shorter or longer should not be corrected." + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "739475c7", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cleaning the peaks vector using 2 iterations.\n", + " - Iteration 1 - \n", + "... correcting 47 extra peak(s).\n", + "... correcting 45 missed peak(s).\n", + " - Iteration 2 - \n", + "... correcting 2 extra peak(s).\n", + "... correcting 1 missed peak(s).\n" + ] + } + ], + "source": [ + "peaks_correction = correct_peaks(corrupted_peaks)" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "58daec52", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "
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the time window\"},\"id\":\"3995\",\"type\":\"Title\"},{\"attributes\":{\"months\":[0,6]},\"id\":\"4283\",\"type\":\"MonthsTicker\"},{\"attributes\":{\"mantissas\":[1,2,5],\"max_interval\":500.0,\"num_minor_ticks\":0},\"id\":\"4273\",\"type\":\"AdaptiveTicker\"}],\"root_ids\":[\"4020\"]},\"title\":\"Bokeh Application\",\"version\":\"2.3.3\"}};\n", + " var render_items = [{\"docid\":\"4a4d7ea3-4f0f-49a5-8a9e-251df476dd68\",\"root_ids\":[\"4020\"],\"roots\":{\"4020\":\"e8a12da9-9916-4e74-9fb7-42b1f57dae99\"}}];\n", + " root.Bokeh.embed.embed_items_notebook(docs_json, render_items);\n", + "\n", + " }\n", + " if (root.Bokeh !== undefined) {\n", + " embed_document(root);\n", + " } else {\n", + " var attempts = 0;\n", + " var timer = setInterval(function(root) {\n", + " if (root.Bokeh !== undefined) {\n", + " clearInterval(timer);\n", + " embed_document(root);\n", + " } else {\n", + " attempts++;\n", + " if (attempts > 100) {\n", + " clearInterval(timer);\n", + " console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n", + " }\n", + " }\n", + " }, 10, root)\n", + " }\n", + "})(window);" + ], + "application/vnd.bokehjs_exec.v0+json": "" + }, + "metadata": { + "application/vnd.bokehjs_exec.v0+json": { + "id": "4020" + } + }, + "output_type": "display_data" + } + ], + "source": [ + "show(\n", + " plot_rr(peaks_correction[\"clean_peaks\"], input_type=\"peaks\", show_artefacts=True, line=False, backend=\"bokeh\", figsize=300)\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "7d9d48fa", + "metadata": {}, + "source": [ + "#### Visualization of the correction quality" + ] + }, + { + "cell_type": "markdown", + "id": "12c697cc", + "metadata": {}, + "source": [ + "As previously mentioned, this method is more appropriate in the context of event-related analysis, where the evolution of the instantaneous heart rate is assessed after some experimental manipulation (see Tutorial 5). One way to control for the quality of the artefact correction is to compare the evoked responses measured under corrupted, corrected and baseline recording. Here, we will use the `plot_evoked` function, which simply take the indexes of events as input together with the recording (here the peaks vector), and produce the evoked plots." + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "2d2f4c2b", + "metadata": {}, + "outputs": [], + "source": [ + "# Merge the two conditions together.\n", + "# The events of interest are all data points that are not 0.\n", + "triggers_idx = [np.where(ecg_df.stim.to_numpy() != 0)[0]]" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "de096929", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "_, axs = plt.subplots(1, 3, figsize=(18, 6), sharey=True)\n", + "plot_evoked(rr=corrupted_peaks, triggers_idx=triggers_idx, ci=68,\n", + " input_type=\"peaks\", decim=100, apply_baseline=(-1.0, 0.0), figsize=(8, 8),\n", + " labels=\"Uncorrected\", palette=[\"#c44e52\"], ax=axs[0])\n", + "plot_evoked(rr=peaks_correction[\"clean_peaks\"], triggers_idx=triggers_idx, ci=68,\n", + " input_type=\"peaks\", decim=100, apply_baseline=(-1.0, 0.0), figsize=(8, 8),\n", + " labels=\"Corrected\", ax=axs[1])\n", + "plot_evoked(rr=peaks, triggers_idx=triggers_idx, ci=68, palette=[\"#55a868\"],\n", + " input_type=\"peaks\", decim=100, apply_baseline=(-1.0, 0.0), figsize=(8, 8),\n", + " labels=\"Initial recording\", ax=axs[2])\n", + "plt.ylim(-20, 20);" + ] + }, + { + "cell_type": "markdown", + "id": "9212053a", + "metadata": {}, + "source": [ + "This concludes the tutorial on using Systole to detect and correct more complex artefacts. In the next tutorial we will introduce more advanced signal processing techniques for estimating low and high-frequency heart-rate variability. " + ] + }, + { + "cell_type": "markdown", + "id": "a0cfe710", + "metadata": {}, + "source": [ + "**References**\n", + "\n", + "**[1]** Lipponen, J. A., & Tarvainen, M. P. (2019). A robust algorithm for heart rate variability time series artefact correction using novel beat classification. Journal of Medical Engineering & Technology, 43(3), 173–181. https://doi.org/10.1080/03091902.2019.1640306" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.9" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/source/notebooks/4-HeartRateVariability.ipynb b/source/notebooks/4-HeartRateVariability.ipynb new file mode 100644 index 00000000..055d0c8e --- /dev/null +++ b/source/notebooks/4-HeartRateVariability.ipynb @@ -0,0 +1,900 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "70689ce2", + "metadata": {}, + "source": [ + "Author: Nicolas Legrand " + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "d1d6585e", + "metadata": { + "tags": [ + "hide-input" + ] + }, + "outputs": [], + "source": [ + "%%capture\n", + "import sys\n", + "if 'google.colab' in sys.modules:\n", + " ! pip install systole" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "58436699", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "
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\\n\"+\n", + " \"BokehJS does not appear to have successfully loaded. If loading BokehJS from CDN, this \\n\"+\n", + " \"may be due to a slow or bad network connection. Possible fixes:\\n\"+\n", + " \"

\\n\"+\n", + " \"
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  • re-rerun `output_notebook()` to attempt to load from CDN again, or
    • \\n\"+\n", + " \"
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\\n\"+\n", + " \"\\n\"+\n", + " \"from bokeh.resources import INLINE\\n\"+\n", + " \"output_notebook(resources=INLINE)\\n\"+\n", + " \"\\n\"+\n", + " \"
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i < inline_js.length; i++) {\n", + " inline_js[i].call(root, root.Bokeh);\n", + " }\n", + " if (force === true) {\n", + " display_loaded();\n", + " }} else if (Date.now() < root._bokeh_timeout) {\n", + " setTimeout(run_inline_js, 100);\n", + " } else if (!root._bokeh_failed_load) {\n", + " console.log(\"Bokeh: BokehJS failed to load within specified timeout.\");\n", + " root._bokeh_failed_load = true;\n", + " } else if (force !== true) {\n", + " var cell = $(document.getElementById(\"1002\")).parents('.cell').data().cell;\n", + " cell.output_area.append_execute_result(NB_LOAD_WARNING)\n", + " }\n", + "\n", + " }\n", + "\n", + " if (root._bokeh_is_loading === 0) {\n", + " console.debug(\"Bokeh: BokehJS loaded, going straight to plotting\");\n", + " run_inline_js();\n", + " } else {\n", + " load_libs(css_urls, js_urls, function() {\n", + " console.debug(\"Bokeh: BokehJS plotting callback run at\", now());\n", + " run_inline_js();\n", + " });\n", + " }\n", + "}(window));" + ], + "application/vnd.bokehjs_load.v0+json": "\n(function(root) {\n function now() {\n return new Date();\n }\n\n var force = true;\n\n if (typeof root._bokeh_onload_callbacks === \"undefined\" || force === true) {\n root._bokeh_onload_callbacks = [];\n root._bokeh_is_loading = undefined;\n }\n\n \n\n \n if (typeof (root._bokeh_timeout) === \"undefined\" || force === true) {\n root._bokeh_timeout = Date.now() + 5000;\n root._bokeh_failed_load = false;\n }\n\n var NB_LOAD_WARNING = {'data': {'text/html':\n \"
\\n\"+\n \"

\\n\"+\n \"BokehJS does not appear to have successfully loaded. If loading BokehJS from CDN, this \\n\"+\n \"may be due to a slow or bad network connection. Possible fixes:\\n\"+\n \"

\\n\"+\n \"
    \\n\"+\n \"
  • re-rerun `output_notebook()` to attempt to load from CDN again, or
    • \\n\"+\n \"
  • use INLINE resources instead, as so:
    • \\n\"+\n \"
\\n\"+\n \"\\n\"+\n \"from bokeh.resources import INLINE\\n\"+\n \"output_notebook(resources=INLINE)\\n\"+\n \"\\n\"+\n \"
\"}};\n\n function display_loaded() {\n var el = document.getElementById(\"1002\");\n if (el != null) {\n el.textContent = \"BokehJS is loading...\";\n }\n if (root.Bokeh !== undefined) {\n if (el != null) {\n el.textContent = \"BokehJS \" + root.Bokeh.version + \" successfully loaded.\";\n }\n } else if (Date.now() < root._bokeh_timeout) {\n setTimeout(display_loaded, 100)\n }\n }\n\n\n function run_callbacks() {\n try {\n root._bokeh_onload_callbacks.forEach(function(callback) {\n if (callback != null)\n callback();\n });\n } finally {\n delete root._bokeh_onload_callbacks\n }\n console.debug(\"Bokeh: all callbacks have finished\");\n }\n\n function load_libs(css_urls, js_urls, callback) {\n if (css_urls == null) css_urls = [];\n if (js_urls == null) js_urls = [];\n\n root._bokeh_onload_callbacks.push(callback);\n if (root._bokeh_is_loading > 0) {\n console.debug(\"Bokeh: BokehJS is being loaded, scheduling callback at\", now());\n return null;\n }\n if (js_urls == null || js_urls.length === 0) {\n run_callbacks();\n return null;\n }\n console.debug(\"Bokeh: BokehJS not loaded, scheduling load and callback at\", now());\n root._bokeh_is_loading = css_urls.length + js_urls.length;\n\n function on_load() {\n root._bokeh_is_loading--;\n if (root._bokeh_is_loading === 0) {\n console.debug(\"Bokeh: all BokehJS libraries/stylesheets loaded\");\n run_callbacks()\n }\n }\n\n function on_error(url) {\n console.error(\"failed to load \" + url);\n }\n\n for (let i = 0; i < css_urls.length; i++) {\n const url = css_urls[i];\n const element = document.createElement(\"link\");\n element.onload = on_load;\n element.onerror = on_error.bind(null, url);\n element.rel = \"stylesheet\";\n element.type = \"text/css\";\n element.href = url;\n console.debug(\"Bokeh: injecting link tag for BokehJS stylesheet: \", url);\n document.body.appendChild(element);\n }\n\n const hashes = {\"https://cdn.bokeh.org/bokeh/release/bokeh-2.3.3.min.js\": \"dM3QQsP+wXdHg42wTqW85BjZQdLNNIXqlPw/BgKoExPmTG7ZLML4EGqLMfqHT6ON\", \"https://cdn.bokeh.org/bokeh/release/bokeh-tables-2.3.3.min.js\": \"8x57I4YuIfu8XyZfFo0XVr2WAT8EK4rh/uDe3wF7YuW2FNUSNEpJbsPaB1nJ2fz2\", \"https://cdn.bokeh.org/bokeh/release/bokeh-widgets-2.3.3.min.js\": \"3QTqdz9LyAm2i0sG5XTePsHec3UHWwVsrOL68SYRoAXsafvfAyqtQ+h440+qIBhS\"};\n\n for (let i = 0; i < js_urls.length; i++) {\n const url = js_urls[i];\n const element = document.createElement('script');\n element.onload = on_load;\n element.onerror = on_error.bind(null, url);\n element.async = false;\n element.src = url;\n if (url in hashes) {\n element.crossOrigin = \"anonymous\";\n element.integrity = \"sha384-\" + hashes[url];\n }\n console.debug(\"Bokeh: injecting script tag for BokehJS library: \", url);\n document.head.appendChild(element);\n }\n };\n\n function inject_raw_css(css) {\n const element = document.createElement(\"style\");\n element.appendChild(document.createTextNode(css));\n document.body.appendChild(element);\n }\n\n \n var js_urls = [\"https://cdn.bokeh.org/bokeh/release/bokeh-2.3.3.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-widgets-2.3.3.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-tables-2.3.3.min.js\"];\n var css_urls = [];\n \n\n var inline_js = [\n function(Bokeh) {\n Bokeh.set_log_level(\"info\");\n },\n function(Bokeh) {\n \n \n }\n ];\n\n function run_inline_js() {\n \n if (root.Bokeh !== undefined || force === true) {\n \n for (var i = 0; i < inline_js.length; i++) {\n inline_js[i].call(root, root.Bokeh);\n }\n if (force === true) {\n display_loaded();\n }} else if (Date.now() < root._bokeh_timeout) {\n setTimeout(run_inline_js, 100);\n } else if (!root._bokeh_failed_load) {\n console.log(\"Bokeh: BokehJS failed to load within specified timeout.\");\n root._bokeh_failed_load = true;\n } else if (force !== true) {\n var cell = $(document.getElementById(\"1002\")).parents('.cell').data().cell;\n cell.output_area.append_execute_result(NB_LOAD_WARNING)\n }\n\n }\n\n if (root._bokeh_is_loading === 0) {\n console.debug(\"Bokeh: BokehJS loaded, going straight to plotting\");\n run_inline_js();\n } else {\n load_libs(css_urls, js_urls, function() {\n console.debug(\"Bokeh: BokehJS plotting callback run at\", now());\n run_inline_js();\n });\n }\n}(window));" + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import os\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "import seaborn as sns\n", + "import numpy as np\n", + "from systole.detection import ecg_peaks\n", + "from systole.plots import plot_frequency, plot_pointcare, plot_rr\n", + "from systole import import_dataset1\n", + "from systole.utils import input_conversion\n", + "from systole.hrv import frequency_domain, time_domain, nonlinear\n", + "\n", + "from bokeh.io import output_notebook\n", + "from bokeh.plotting import show\n", + "from bokeh.layouts import row, column\n", + "output_notebook()" + ] + }, + { + "cell_type": "markdown", + "id": "56aac01f", + "metadata": {}, + "source": [ + "# Heart rate variability\n", + "We discuss heart rate variability analysis in notebook number four." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "6c49b649", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Downloading ECG channel: 100%|███████████████████████████████████████████████████████████| 1/1 [00:03<00:00, 3.48s/it]\n" + ] + } + ], + "source": [ + "# Import ECg recording\n", + "signal = import_dataset1(modalities=['ECG']).ecg.to_numpy()\n", + "\n", + "# R peaks detection\n", + "signal, peaks = ecg_peaks(signal, method='pan-tompkins', sfreq=1000)" + ] + }, + { + "cell_type": "markdown", + "id": "26e316b1", + "metadata": {}, + "source": [ + "## Time domain" + ] + }, + { + "cell_type": "markdown", + "id": "ba32ecbe", + "metadata": {}, + "source": [ + "The `time_domain()`, `frequency_domain()` and `nonlinear()` functions will return a dataframe in the long format. Here, we use the pivolt method to convert it in the wide format for readability." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "b170e398", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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MetricMaxBPMMaxRRMeanBPMMeanRRMedianBPMMedianRRMinBPMMinRRRMSSDSDNNnn50pnn50
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Metrichf_peakhf_powerlf_peaklf_powerpower_hf_nupower_hf_perpower_lf_nupower_lf_perpower_vlf_pervlf_peakvlf_power
Values0.3555249.9409410.0938472.333250.65395311.5596630.34604721.84521366.5951250.00781439.907797
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" + ], + "text/plain": [ + "Metric hf_peak hf_power lf_peak lf_power power_hf_nu power_hf_per \\\n", + "Values 0.3555 249.940941 0.0938 472.33325 0.653953 11.559663 \n", + "\n", + "Metric power_lf_nu power_lf_per power_vlf_per vlf_peak vlf_power \n", + "Values 0.346047 21.845213 66.595125 0.0078 1439.907797 " + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Extract time domain heart rate variability\n", + "hrv_df = frequency_domain(peaks, input_type='peaks')\n", + "\n", + "# Pivot the dataframe so it render nicely in notebook\n", + "pd.pivot_table(hrv_df, values='Values', columns='Metric')" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "6f50374d", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "
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MetricSD1SD2
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else {\n", + " attempts++;\n", + " if (attempts > 100) {\n", + " clearInterval(timer);\n", + " console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n", + " }\n", + " }\n", + " }, 10, root)\n", + " }\n", + "})(window);" + ], + "application/vnd.bokehjs_exec.v0+json": "" + }, + "metadata": { + "application/vnd.bokehjs_exec.v0+json": { + "id": "1186" + } + }, + "output_type": "display_data" + } + ], + "source": [ + "show(\n", + " plot_pointcare(peaks, input_type='peaks', backend='bokeh', figsize=400)\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "bef5eca7", + "metadata": {}, + "source": [ + "## Creating HRV summary" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "84860237", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "
\n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "application/javascript": [ + "(function(root) {\n", + " function embed_document(root) {\n", + " \n", + " var docs_json = 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+ } + ], + "source": [ + "show(\n", + " column(\n", + " plot_rr(peaks, input_type=\"peaks\", backend=\"bokeh\"),\n", + " row(\n", + " plot_frequency(peaks, input_type=\"peaks\", backend=\"bokeh\", figsize=(600, 400)),\n", + " plot_pointcare(peaks, input_type=\"peaks\", backend=\"bokeh\", figsize=(400, 400)),\n", + " )\n", + " )\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "cde9f5e4", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.9" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/source/notebooks/5-InstantaneousHeartRate.ipynb b/source/notebooks/5-InstantaneousHeartRate.ipynb new file mode 100644 index 00000000..fc0818d4 --- /dev/null +++ b/source/notebooks/5-InstantaneousHeartRate.ipynb @@ -0,0 +1,955 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "07f701c9", + "metadata": {}, + "source": [ + "Author: Nicolas Legrand " + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "8d5b96cc", + "metadata": { + "tags": [ + "hide-input" + ] + }, + "outputs": [], + "source": [ + "%%capture\n", + "import sys\n", + "if 'google.colab' in sys.modules:\n", + " ! pip install systole" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "12b39e05", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "
\n", + " \n", + " Loading BokehJS ...\n", + "
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\\n\"+\n", + " \"
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  • re-rerun `output_notebook()` to attempt to load from CDN again, or
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\\n\"+\n", + " \"\\n\"+\n", + " \"from bokeh.resources import INLINE\\n\"+\n", + " \"output_notebook(resources=INLINE)\\n\"+\n", + " \"\\n\"+\n", + " \"
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\\n\"+\n \"

\\n\"+\n \"BokehJS does not appear to have successfully loaded. If loading BokehJS from CDN, this \\n\"+\n \"may be due to a slow or bad network connection. Possible fixes:\\n\"+\n \"

\\n\"+\n \"
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  • re-rerun `output_notebook()` to attempt to load from CDN again, or
    • \\n\"+\n \"
  • use INLINE resources instead, as so:
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\\n\"+\n \"\\n\"+\n \"from bokeh.resources import INLINE\\n\"+\n \"output_notebook(resources=INLINE)\\n\"+\n \"\\n\"+\n \"
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i < inline_js.length; i++) {\n inline_js[i].call(root, root.Bokeh);\n }\n if (force === true) {\n display_loaded();\n }} else if (Date.now() < root._bokeh_timeout) {\n setTimeout(run_inline_js, 100);\n } else if (!root._bokeh_failed_load) {\n console.log(\"Bokeh: BokehJS failed to load within specified timeout.\");\n root._bokeh_failed_load = true;\n } else if (force !== true) {\n var cell = $(document.getElementById(\"1002\")).parents('.cell').data().cell;\n cell.output_area.append_execute_result(NB_LOAD_WARNING)\n }\n\n }\n\n if (root._bokeh_is_loading === 0) {\n console.debug(\"Bokeh: BokehJS loaded, going straight to plotting\");\n run_inline_js();\n } else {\n load_libs(css_urls, js_urls, function() {\n console.debug(\"Bokeh: BokehJS plotting callback run at\", now());\n run_inline_js();\n });\n }\n}(window));" + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import os\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "import seaborn as sns\n", + "import numpy as np\n", + "from systole.detection import ppg_peaks, interpolate_clipping, ecg_peaks\n", + "from systole.plots import plot_rr, plot_evoked, plot_events\n", + "from systole import import_dataset1, import_ppg\n", + "from systole.utils import heart_rate, to_epochs, input_conversion\n", + "from systole.hrv import frequency_domain\n", + "\n", + "from bokeh.io import output_notebook\n", + "from bokeh.plotting import show\n", + "output_notebook()\n", + "\n", + "sns.set_context('talk')" + ] + }, + { + "cell_type": "markdown", + "id": "27b5ea0a", + "metadata": {}, + "source": [ + "# Instantaneous and evoked heart rate\n", + "This tutorial will cover instantaneous heart rate and evoked heart rate analysis. In the previous section, we analyzed the heart rate variability as a property that can be observed in longer cardiac recordings and that might reflect the influence of the sympathetic and/or the parasympathetic nervous system on behavior. This approach has been widely used in psychology and psychophysiology to evaluate the trait heart rate variability (HRV) of a given participant on a continuous domain, sometimes in conjunction with experimental manipulations. This approach requires relatively long recordings to give a reasonable estimate of the HRV (~5 minutes), and resting conditions are also required to let the nervous system returns to a baseline. In some cases, experimenters may want to also record and/or control for respiratory frequency as this has a known physiological impact on HRV, in particular in the lower frequency components. \n", + "\n", + "However, psychophysiological interactions can appear at much shorter time scales (as fast as 1-2 seconds following stimulation), and these effects can be examined using evoked heart rate analysis. Evoked heart rate refers to the fluctuation of instantaneous heart rate following stimulation and could be described as the cardiac equivalent of event-related potentials [ERP](https://en.wikipedia.org/wiki/Event-related_potential). These fast fluctuations in heart-rate have many sources, for example changes in noradrenaline and/or autonomic factors, emotional states, and other cognitive variables. \n", + "\n", + "To perform evoked heart rate analysis, we need an ECG recording and a trigger, or stim channel, that will encode the occurrence of the events we want to study. Here, we will use an example dataset included in Systole. The task itself has been described in **[1]**. During the recording, the participant has to rate the emotional valence of 36 neutral and 36 disgusting images (10 seconds max per image). The stim channel encodes the presentation of disgusting (`2`) and neutral (`1`) images." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "78164d1f", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Downloading Stim channel: 100%|██████████████████████████████████████████████████████████| 2/2 [00:07<00:00, 3.85s/it]\n" + ] + } + ], + "source": [ + "# Import ECG recording and Stim channel\n", + "ecg_df = import_dataset1(modalities=['ECG', 'Stim'])" + ] + }, + { + "cell_type": "markdown", + "id": "3b465004", + "metadata": {}, + "source": [ + "## Instantaneous heart rate" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "a3565d2c", + "metadata": {}, + "outputs": [], + "source": [ + "# Peak detection in the ECG signal using the Pan-Tompkins method\n", + "signal, peaks = ecg_peaks(ecg_df.ecg, method='pan-tompkins', sfreq=1000)" + ] + }, + { + "cell_type": "markdown", + "id": "bac8c7fd", + "metadata": {}, + "source": [ + "Because the heartbeats are discrete events interleaved by unequal intervals, the instantaneous heart rate time series is the results of the interpolation of the individual heart rate estimates.\n", + "\n", + "By defaults, the `plot_rr` function will linearly connect the dots to save memory." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "fc6bcaf0", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "
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\",\"dtype\":\"float64\",\"order\":\"little\",\"shape\":[1936]},\"nbeat\":{\"__ndarray__\":\"AQAAAAIAAAADAAAABAAAAAUAAAAGAAAABwAAAAgAAAAJAAAACgAAAAsAAAAMAAAADQAAAA4AAAAPAAAAEAAAABEAAAASAAAAEwAAABQAAAAVAAAAFgAAABcAAAAYAAAAGQAAABoAAAAbAAAAHAAAAB0AAAAeAAAAHwAAACAAAAAhAAAAIgAAACMAAAAkAAAAJQAAACYAAAAnAAAAKAAAACkAAAAqAAAAKwAAACwAAAAtAAAALgAAAC8AAAAwAAAAMQAAADIAAAAzAAAANAAAADUAAAA2AAAANwAAADgAAAA5AAAAOgAAADsAAAA8AAAAPQAAAD4AAAA/AAAAQAAAAEEAAABCAAAAQwAAAEQAAABFAAAARgAAAEcAAABIAAAASQAAAEoAAABL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interval (ms)\",\"formatter\":{\"id\":\"1083\"},\"major_label_policy\":{\"id\":\"1082\"},\"ticker\":{\"id\":\"1019\"}},\"id\":\"1018\",\"type\":\"LinearAxis\"},{\"attributes\":{},\"id\":\"1085\",\"type\":\"AllLabels\"},{\"attributes\":{\"base\":60,\"mantissas\":[1,2,5,10,15,20,30],\"max_interval\":1800000.0,\"min_interval\":1000.0,\"num_minor_ticks\":0},\"id\":\"1088\",\"type\":\"AdaptiveTicker\"},{\"attributes\":{\"base\":24,\"mantissas\":[1,2,4,6,8,12],\"max_interval\":43200000.0,\"min_interval\":3600000.0,\"num_minor_ticks\":0},\"id\":\"1105\",\"type\":\"AdaptiveTicker\"},{\"attributes\":{\"mantissas\":[1,2,5],\"max_interval\":500.0,\"num_minor_ticks\":0},\"id\":\"1087\",\"type\":\"AdaptiveTicker\"},{\"attributes\":{\"axis_label\":\"Time\",\"formatter\":{\"id\":\"1080\"},\"major_label_policy\":{\"id\":\"1079\"},\"ticker\":{\"id\":\"1015\"}},\"id\":\"1014\",\"type\":\"DatetimeAxis\"},{\"attributes\":{\"end\":1536169.0,\"start\":714.0},\"id\":\"1069\",\"type\":\"Range1d\"},{\"attributes\":{},\"id\":\"1010\",\"type\":\"LinearScale\"},{\"attributes\":{\"days\":[1,8,15,22]},\"id\":\"1092\",\"type\":\"DaysTicker\"}],\"root_ids\":[\"1075\"]},\"title\":\"Bokeh Application\",\"version\":\"2.3.3\"}};\n", + " var render_items = [{\"docid\":\"1b985a2d-5a6b-42de-91b0-f14082f68f2c\",\"root_ids\":[\"1075\"],\"roots\":{\"1075\":\"ca61fa1b-84cf-49a5-bd81-7ed215a7dd20\"}}];\n", + " root.Bokeh.embed.embed_items_notebook(docs_json, render_items);\n", + "\n", + " }\n", + " if (root.Bokeh !== undefined) {\n", + " embed_document(root);\n", + " } else {\n", + " var attempts = 0;\n", + " var timer = setInterval(function(root) {\n", + " if (root.Bokeh !== undefined) {\n", + " clearInterval(timer);\n", + " embed_document(root);\n", + " } else {\n", + " attempts++;\n", + " if (attempts > 100) {\n", + " clearInterval(timer);\n", + " console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n", + " }\n", + " }\n", + " }, 10, root)\n", + " }\n", + "})(window);" + ], + "application/vnd.bokehjs_exec.v0+json": "" + }, + "metadata": { + "application/vnd.bokehjs_exec.v0+json": { + "id": "1075" + } + }, + "output_type": "display_data" + } + ], + "source": [ + "show(\n", + " plot_rr(peaks, input_type='peaks', backend='bokeh', figsize=250)\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "bc351c8f", + "metadata": {}, + "source": [ + "The `heart_rate` function provide more options and enables the user to select between different interpolation parameter following the ones povided by the `scipy.interpolate.interpolate1d` function." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "2b3bbd98", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Select a subsample of the recording\n", + "this_peaks = peaks[20000:35000]\n", + "\n", + "_, ax = plt.subplots(figsize=(13, 5))\n", + "for kind, color, style in zip([\"cubic\", \"linear\", \"previous\", \"next\"], \n", + " sns.color_palette(\"deep\", n_colors=4),\n", + " [\"-\", \"--\", \":\", \"-.\"]):\n", + " hr, time = heart_rate(x=this_peaks, input_type='peaks', kind=kind)\n", + " ax.plot(time, hr, color=color, label=kind, linestyle=style)\n", + "\n", + "# Show individual heartbeats\n", + "ax.scatter(np.where(this_peaks)[0][1:]/1000,\n", + " np.diff(np.where(this_peaks)[0]),\n", + " s=100, color=\"gray\", edgecolors=\"k\", label=\"Heartbeats\")\n", + "plt.legend()\n", + "ax.set_xlabel(\"Time (s)\")\n", + "ax.set_ylabel(\"RR intervals (ms)\")\n", + "ax.set_title(\"Interpolation of the instantaneous heart rate\")\n", + "sns.despine()" + ] + }, + { + "cell_type": "markdown", + "id": "64e13f05", + "metadata": {}, + "source": [ + "Note that here the timing of the peaks detection matters. The artefact correction, if it is used, should take this into account and never interpolate RR times series directly but always try to infer the presence, or absence, of cardiac cycles. " + ] + }, + { + "cell_type": "markdown", + "id": "03e7e803", + "metadata": {}, + "source": [ + "## Evoked heart rate" + ] + }, + { + "cell_type": "markdown", + "id": "84d07442", + "metadata": {}, + "source": [ + "Finding R peaks and extract instantaneous heart rate." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "9f8876ad", + "metadata": {}, + "outputs": [], + "source": [ + "heartrate, new_time = heart_rate(peaks, kind='previous', unit='bpm')" + ] + }, + { + "cell_type": "markdown", + "id": "27df34d9", + "metadata": {}, + "source": [ + "Create stim vectors for neutral and discusting images separately. Here, 1 encode the presentation of an image." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "32c8c1ab", + "metadata": {}, + "outputs": [], + "source": [ + "triggers_idx = [\n", + " np.where(ecg_df.stim.to_numpy() == 2)[0], \n", + " np.where(ecg_df.stim.to_numpy() == 1)[0]\n", + "]" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "486df64e", + "metadata": {}, + "outputs": [], + "source": [ + "neutral, disgust = np.zeros(len(new_time)), np.zeros(len(new_time))\n", + "\n", + "disgust[np.round(np.where(ecg_df.stim.to_numpy() == 2)[0]).astype(int)] = 1\n", + "neutral[np.round(np.where(ecg_df.stim.to_numpy() == 1)[0]).astype(int)] = 1" + ] + }, + { + "cell_type": "markdown", + "id": "b529480f", + "metadata": {}, + "source": [ + "### Event plot" + ] + }, + { + "cell_type": "markdown", + "id": "0c00974b", + "metadata": {}, + "source": [ + "The `plot_events` function can be usefull to visualize the distribution of events during the task." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "23940384", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\",\"dtype\":\"float64\",\"order\":\"little\",\"shape\":[1936]},\"nbeat\":{\"__ndarray__\":\"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}, + { + "cell_type": "markdown", + "id": "413e5c4b", + "metadata": {}, + "source": [ + "However, it is still difficult to see if a general tendency emerges from the time course of the heart rate following the stimulations, and if the two conditions differ from one another. " + ] + }, + { + "cell_type": "markdown", + "id": "f76fc48f", + "metadata": {}, + "source": [ + "### Evoked plot" + ] + }, + { + "cell_type": "markdown", + "id": "850680ff", + "metadata": {}, + "source": [ + "Systole provides a function `to_epochs` that can easily convert raw signal and triggers vectors into the corresponding epochs array. An epoch is simply a 2d matrix containing the signal of interest sliced using some interval around the trigers. It is also common practice to baseline correct these signal using the value at *t*=`0` or some interval before the stimuli (e.g., the average interval from 1 second pre-baseline), so the evoked response can be more readily interpreted.\n", + "\n", + "This function accepts several arguments and can be used in a variety of ways (see documentation). Here, we provide the trigger idexes using the `triggers_idx` parameter (the sames where a trigger was recorded, here indicating that an image appeared on the screen). The `apply_baseline` parameter is set to `(-1.0, 0.0)` to indicate that we want substract the average of the signal value one second before the triggers appear." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "758c8af1", + "metadata": {}, + "outputs": [], + "source": [ + "epoch, rejected = to_epochs(signal=signal, triggers_idx=triggers_idx, apply_baseline=(-1.0, 0.0))" + ] + }, + { + "cell_type": "markdown", + "id": "3f56c71d", + "metadata": {}, + "source": [ + "The function returns two objects:\n", + "* A 2d epoch array, that contains the signal of interest in the range around the trigger.\n", + "* A 1d reject array that indexes the rejected trials during the epoching process.\n", + "\n", + "Trials can be rejected because\n", + "1. They contain artefacts. The artefacted part of the recording can be indexed using the `reject` parameter.\n", + "2. The time range of the trial lies outside the signal range. 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Application\",\"version\":\"2.3.3\"}};\n", + " var render_items = [{\"docid\":\"d5812bce-7fcf-405e-a8cf-3f62d26914de\",\"root_ids\":[\"1711\"],\"roots\":{\"1711\":\"762a5a01-38b1-4321-a6bf-f3528b316746\"}}];\n", + " root.Bokeh.embed.embed_items_notebook(docs_json, render_items);\n", + "\n", + " }\n", + " if (root.Bokeh !== undefined) {\n", + " embed_document(root);\n", + " } else {\n", + " var attempts = 0;\n", + " var timer = setInterval(function(root) {\n", + " if (root.Bokeh !== undefined) {\n", + " clearInterval(timer);\n", + " embed_document(root);\n", + " } else {\n", + " attempts++;\n", + " if (attempts > 100) {\n", + " clearInterval(timer);\n", + " console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n", + " }\n", + " }\n", + " }, 10, root)\n", + " }\n", + "})(window);" + ], + "application/vnd.bokehjs_exec.v0+json": "" + }, + "metadata": { + "application/vnd.bokehjs_exec.v0+json": { + "id": "1711" + } + }, + "output_type": "display_data" + } + ], + "source": [ + "show(\n", + " plot_evoked(rr=peaks, triggers_idx=triggers_idx, input_type=\"peaks\", backend=\"bokeh\", \n", + " palette=[sns.xkcd_rgb[\"pale red\"], sns.xkcd_rgb[\"denim blue\"]], decim=100,\n", + " apply_baseline=(-1.0, 0.0), figsize=(400, 400))\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "a6e87699", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, axs = plt.subplots(1, 3, figsize=(15, 6), sharey=True)\n", + "\n", + "for i, kind in enumerate([\"cubic\", \"linear\", \"previous\"]):\n", + " axs[i].set_title(f\"Interpolation: {kind}\")\n", + " plot_evoked(\n", + " rr=peaks, triggers_idx=triggers_idx, input_type=\"peaks\", kind=kind,\n", + " palette=[sns.xkcd_rgb[\"pale red\"], sns.xkcd_rgb[\"denim blue\"]], labels=[\"Disgust\", \"Neutral\"],\n", + " decim=100, apply_baseline=(-1.0, 0.0), figsize=(6, 6), ax=axs[i], ci=68\n", + " )" + ] + }, + { + "cell_type": "markdown", + "id": "062dcf10", + "metadata": {}, + "source": [ + "This concludes the tutorial on using systole for evoked HR analysis! " + ] + }, + { + "cell_type": "markdown", + "id": "f01c01ec", + "metadata": {}, + "source": [ + "**References***\n", + "\n", + "**[1]** Legrand, N., Etard, O., Vandevelde, A., Pierre, M., Viader, F., Clochon, P., Doidy, F., Peschanski, D., Eustache, F., & Gagnepain, P. (2020). Long-term modulation of cardiac activity induced by inhibitory control over emotional memories. *Scientific Reports, 10(1)*. https://doi.org/10.1038/s41598-020-71858-2 " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "3046d4ef", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.9" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/source/releases/v0.0.1.txt b/source/releases/v0.0.1.txt new file mode 100644 index 00000000..11dbd402 --- /dev/null +++ b/source/releases/v0.0.1.txt @@ -0,0 +1,5 @@ + +v0.0.1 (January 2020) +--------------------- + +Alpha release. diff --git a/source/releases/v0.1.0.txt b/source/releases/v0.1.0.txt new file mode 100644 index 00000000..9a96505a --- /dev/null +++ b/source/releases/v0.1.0.txt @@ -0,0 +1,52 @@ + +v0.1.0 (January 2020) +--------------------- + +Initial release. + +**Detection** + +a. ppg_peaks() +b. hr_subspaces() +c. interpolate_clipping() +d. rr_outliers() + + +**HRV** + +a. nnX() +b. pnX() +c. rmssd() +d. time_domain() +e. frequency_domain() +f. nonlinear() + + +**Plotting** + +a. plot_hr() +b. plot_events() +c. plot_oximeter() +d. plot_subspaces() +e. plot_psd() +f. circular() +g. plot_circular() + + +**Recording** + +a. Oximeter() + + +**Report** + +a. report_oxi() + + +**Utils** + +a. norm_triggers() +b. time_shift() +c. heart_rate() +d. to_angles() +e. to_epochs() diff --git a/source/releases/v0.1.1.txt b/source/releases/v0.1.1.txt new file mode 100644 index 00000000..2ef13f64 --- /dev/null +++ b/source/releases/v0.1.1.txt @@ -0,0 +1,21 @@ +v0.1.1 (June 2020) +------------------ + +**New functions** + +- |Feature| Add the **plotly** sub-module, a set of Plotly functions comprising :py:func:`systole.plotly.plot_raw`, :py:func:`systole.plotly.plot_subspaces`, :py:func:`systole.plotly.plot_ectopic`, :py:func:`systole.plotly.plot_shortlong`, :py:func:`systole.plotly.plot_frequency`, :py:func:`systole.plotly.plot_nonlinear`, :py:func:`systole.plotly.plot_timedomain`. +- |Feature| Add :py:func:`systole.utils.simulate_rr()`, for random RR interval simulation with different kind of artefacts. Can also return peak vector. +- |Feature| The **correction** sub-module has been largely rewritten and now include :py:func:`systole.correction.correct_extra`, :py:func:`systole.correction.correct_missed`, :py:func:`systole.correction.interpolate_bads`, :py:func:`systole.correction.correct_rr`, :py:func:`systole.correction.correct_peaks`, :py:func:`systole.correction.correct_missed_peaks`, `systole.correction.correct_extra_peaks`. These function can correct artefacts either using peaks addition/removal or by interpolation of the RR time series. + +**Enhancements** + +- |Enhancement| The **detection** sub-module has been improved. It is now about 10x faster and returns more information. The main function has been renamed to :py:func:`systole.detection.rr_artefacts`. + +**Bugfixes** + +- |Fix| :py:func:`systole.correction.interpolate_clipping`: add exception in case of clipping artefacts at the edge of the signal segment. This can cause cash during recording. The default behavior is now to decrement the last/first item in case of threshold value. The threshold can be changed manually. This procedure can result in slightly inaccurate interpolation, using a longer recording should always be preferred when possible. +- |Fix| The PPG signal simulator used for testing can now run infinitely. + +**Contributors** + +* `Jan C. Brammer `_ \ No newline at end of file diff --git a/source/releases/v0.1.2.txt b/source/releases/v0.1.2.txt new file mode 100644 index 00000000..7bdb48d0 --- /dev/null +++ b/source/releases/v0.1.2.txt @@ -0,0 +1,14 @@ +v0.1.2 (September 2020) +----------------------- + + **New functions** + +- |Feature| Add :py:func:`systole.utils.to_rr()`. for peaks or index vectors convertion to RR intervals +- |Feature| Add :py:func:`systole.recording.BrainVisionExG()`, a class to read physio recording from BrainVision ExG products via TCP/IP connection. +- |Feature| Add :py:func:`systole.recording.findOximeter()`, find the USB port where Nonin Oximeter is plugged by looping through the USB port and checking the input. +- |Feature| Add :py:func:`systole.detection.ecg_peaks()`. A wrapper around py-ecg-detectors for basic ECG peaks detection. + +**Enhancements** +- |Enhancement| Improved documentation and examples. +- |Enhancement| Simplification of PPG example data import. +- |Enhancement| Improved interactive plotting functions. diff --git a/source/releases/v0.1.3.txt b/source/releases/v0.1.3.txt new file mode 100644 index 00000000..a076ca4b --- /dev/null +++ b/source/releases/v0.1.3.txt @@ -0,0 +1,15 @@ +v0.1.3 (April 2021) +------------------- + +- |Enhancement| :py:func:`systole.plotly.plot_raw()`: add `ecg_method` parameter to control the ECG peak detection method used. +- |Enhancement| Download dataset directly from GitHub instead of copying the files at install. +- |Enhancement| Harmonization of :py:func:`systole.plotting.plot_raw()` and :py:func:`systole.plotting.plot_raw()` (replace the `plot_hr()` function), and :py:func:`systole.plotly.plot_subspaces()` and :py:func:`systole.plotly.plot_subspaces()`. +- |Enhancement| The :py:class:`systole.recording.Oximeter()` class has been improved: + +* :py:func:`systole.recording.Oximeter.setup()` has an `nAttempts` argument so it will not run forever if no valid signal is recordedfor a given number of attempts (default is 100). +* :py:func:`systole.recording.Oximeter.check()` has been updated and accept data format #7 from Xpods, allowing more flexibility. +* :py:func:`systole.recording.Oximeter.save()` will now save additional channels and support `.txt` and `.npy` file extensions. + +- |Enhancement| Create a :py:func:`systole.recording.Oximeter.reset()` method to avoid improper use of `__init__()`. +- |Enhancement| Add pre-commit hooks, flake8, black and isort CI tests. +- |Enhancement| Add type hints and CI testing with mypy. \ No newline at end of file diff --git a/source/releases/v0.2.0.txt b/source/releases/v0.2.0.txt new file mode 100644 index 00000000..afcd5ae3 --- /dev/null +++ b/source/releases/v0.2.0.txt @@ -0,0 +1,65 @@ +v0.2.0 (October 2021) +----------------------- + +Highlights +++++++++++ + +This is a major release that introduce a new plotting backend using Bokeh instead of Plotly, several API changes and performance improvement (Numba). + +The `plots` submodule now includes the following functions: + +- :func:`systole.plots.plot_circular` +- :func:`systole.plots.plot_ectopic` +- :func:`systole.plots.plot_events` +- :func:`systole.plots.plot_evoked` +- :func:`systole.plots.plot_frequency` +- :func:`systole.plots.plot_pointcare` +- :func:`systole.plots.plot_raw` +- :func:`systole.plots.plot_rr` +- :func:`systole.plots.plot_shortlong` +- :func:`systole.plots.plot_subspaces` + +These function can be called using Bokeh or Matplotlib as backend (`plot_circular` only accepts Matplotlib for now). + +All the methods available in :func:`systole.detection.ecg_peaks` are now accelerated with Numba. + +- |Enhancement| Add Numba support for :func:`systole.detector.pan_tompkins()` (~7x faster) +- |Enhancement| Add Numba support for :func:`systole.detector.hamilton()` (~10x faster) +- |Enhancement| Add Numba support for :func:`systole.detector.christov()` (~30x faster) +- |Enhancement| Add Numba support for :func:`systole.detector.engelse_zeelenberg()` (~20x faster) + +This also drops py-ecg-detectors dependency, and the refactored code is now included in Systole. + +This release also includes some API changes and renaming for consistency (`oxi_peaks` -> `ppg_peaks`). + +Changes ++++++++ + +- |Api| Remove support for Plotly. Add support for Bokeh. Merge interactive and non interactive modules into a unique :func:`plots` module. + +- |Docs| Use PyData Sphinx theme. + +- |Docs| Several additions to the tutorials pages, now divided into 5 Chapters: +1. Physiological signal analysis +2. Detecting cycles +3. Detecting and correcting artefacts +4. Heart rate variability +5. Instantaneous heart rate and evoked heart rate + +- |Docs| Add examples for :func:`systole.correction.correct_peaks()` and :func:`systole.correction.correct_rr()` in the gallery. + +- |Enhancement| |Feature| |API| Most of the functions now accept inputs as `peaks` (boolean vector), `peaks_idx` (int indexes vector), `rr_ms` (floats RR intervals in miliseconds) or `rr_s` (floats RR intervals in seconds). :func:`systole.utils.to_rr()` has been renamed to :py:func:`systole.utils.input_conversion()` and support the conversion between data types. + +- |Fix| |Enhancement| :func:`systole.detection.ppg_peaks()` now handles negative values/ low sampling rate. + +- |Enhancement| :func:`systole.correction.correct_peaks()` and :func:`systole.correction.correct_rr()` have been improved for performances, allows `n` iterations and print results. + +- |Enhancement| utils.to_epochs() now accept multiple condition (as list) and returns rejection vectors for each one. The code has also been simplified and runs faster. + +- |Fix| Remove use of `outdated`. + +Contributors +++++++++++++ + +- Gidon Levakov (gidonlevakov@gmail.com) +- Peter Doggart (peter.doggart@pulseai.io) \ No newline at end of file diff --git a/source/tutorials.rst b/source/tutorials.rst new file mode 100644 index 00000000..94b240d5 --- /dev/null +++ b/source/tutorials.rst @@ -0,0 +1,99 @@ +.. _api_ref: + +Tutorials +========= + +Systole_ is a Python package oriented to physiological +signal analysis, with the main focus on cardiac activity. The notion that cognition +and metacognition are influenced by body states and physiological signals - heart +rate, and heart rate variability being the most prominent ones - is extensively +investigated by cognitive neuroscience. Systole_ was first developed to help +interfacing psychological tasks (e.g using Psychopy) +with physiological recording in the context of psychophysiology experiments. It +has progressively grown and integrates more algorithms and metrics, and embeds +several static and dynamic plotting utilities that we think make it useful to +generate reports, helps to produce clear and transparent research outputs, and +participates in creating more robust and open science overall. + +These tutorials introduce both the basic concepts of cardiac signal analysis and their +implementation with examples of analysis using Systole. The focus and the illustrations +are largely derived from the cognitive science approach and interest, but it can be +of interest to anyone willing to use Systole or learn about cardiac signal analysis +in general. + +.. _Systole: https://systole-docs.github.io/ + +.. panels:: + + - 1 - Cardiac signals + ^^^^^^^^^^^^^^^^^^^^^ + + .. toctree:: + :maxdepth: 4 + + notebooks/1-PhysiologicalSignals.ipynb + + +++ + .. image:: https://colab.research.google.com/assets/colab-badge.svg + :target: https://colab.research.google.com/github/embodied-computation-group/systole/blob/dev/source/notebooks/1-PhysiologicalSignals.ipynb + :align: center + + --- + + - 2 - Cardicac cycles + ^^^^^^^^^^^^^^^^^^^^^ + + .. toctree:: + :maxdepth: 4 + + notebooks/2-DetectingCycles.ipynb + + +++ + .. image:: https://colab.research.google.com/assets/colab-badge.svg + :target: https://colab.research.google.com/github/embodied-computation-group/systole/blob/dev/source/notebooks/2-DetectingCycles.ipynb + :align: center + + --- + + - 3 - Artefacts + ^^^^^^^^^^^^^^^ + + .. toctree:: + :maxdepth: 4 + + notebooks/3-DetectingAndCorrectingArtefacts.ipynb + + +++ + .. image:: https://colab.research.google.com/assets/colab-badge.svg + :target: https://colab.research.google.com/github/embodied-computation-group/systole/blob/dev/source/notebooks/3-DetectingAndCorrectingArtefacts.ipynb + :align: center + + --- + + - 4 - HRV + ^^^^^^^^^ + + .. toctree:: + :maxdepth: 4 + + notebooks/4-HeartRateVariability.ipynb + + +++ + .. image:: https://colab.research.google.com/assets/colab-badge.svg + :target: https://colab.research.google.com/github/embodied-computation-group/systole/blob/dev/source/notebooks/4-HeartRateVariability.ipynb + :align: center + + --- + + - 5 - Evoked HRV + ^^^^^^^^^^^^^^^^ + + .. toctree:: + :maxdepth: 4 + + notebooks/5-InstantaneousHeartRate.ipynb + + +++ + .. image:: https://colab.research.google.com/assets/colab-badge.svg + :target: https://colab.research.google.com/github/embodied-computation-group/systole/blob/dev/source/notebooks/5-InstantaneousHeartRate.ipynb + :align: center diff --git a/systole/__init__.py b/systole/__init__.py index fd7af8e6..6d57696a 100644 --- a/systole/__init__.py +++ b/systole/__init__.py @@ -1,14 +1,8 @@ -# Raise a warning if a newer version of Systole is available -from outdated import warn_if_outdated - from .correction import * from .datasets import * from .detection import * from .hrv import * -from .plotly import * -from .plotting import * # type: ignore +from .plots import * from .utils import * -__version__ = "0.1.3" - -warn_if_outdated("systole", __version__) +__version__ = "0.2.0a" diff --git a/systole/correction.py b/systole/correction.py index 8433ef24..1e38efd9 100644 --- a/systole/correction.py +++ b/systole/correction.py @@ -6,6 +6,7 @@ from scipy.interpolate import interp1d from systole.detection import rr_artefacts +from systole.utils import input_conversion def correct_extra(rr: Union[List, np.ndarray], idx: int) -> np.ndarray: @@ -104,30 +105,42 @@ def correct_rr( short_correction: bool = True, long_correction: bool = True, ectopic_correction: bool = True, + n_iterations: int = 2, + input_type: str = "rr_ms", + verbose: bool = True, ) -> Dict[str, Union[int, np.ndarray]]: """Correct long and short beats using interpolation. Parameters ---------- - rr : 1d array-like + rr : np.ndarray RR intervals (ms). - correct_extra : boolean - If `True`, correct extra beats in the RR time series. - correct_missed : boolean - If `True`, correct missed beats in the RR time series. - correct_short : boolean - If `True`, correct short beats in the RR time series. - correct_long : boolean - If `True`, correct long beats in the RR time series. - correct_ectopic : boolean - If `True`, correct ectopic beats in the RR time series. + extra_correction : bool + If `True` (deault), correct extra beats in the RR time series. + missed_correction : bool + If `True` (deault), correct missed beats in the RR time series. + short_correction : bool + If `True` (deault), correct short beats in the RR time series. + long_correction : bool + If `True` (deault), correct long beats in the RR time series. + ectopic_correction : bool + If `True` (deault), correct ectopic beats in the RR time series. + n_iterations : int + How many time to repeat the detection-correction process. Defaults to `2`. + input_type : str + The type of input vector. Default is `"rr_ms"` (a boolean vector where + `1` represents the occurrence of R waves or systolic peaks). + Can also be `"peaks_idx"`, the idexs of samples where a peaks is detected, + `"peaks"`, or `"rr_s"` for vectors of RR intervals expressed in seconds. + verbose : bool + Control the verbosity of the function. Defaults to `True`. Returns ------- correction : dictionnary The corrected RR time series and the number of artefacts corrected: - * clean_rr: 1d array-like + * clean_rr: np.ndarray The corrected RR time-serie. * ectopic: int The number of ectopic beats corrected. @@ -139,56 +152,107 @@ def correct_rr( The number of extra beats corrected. * missed: int The number of missed beats corrected. + + See also + -------- + correct_peaks + """ rr = np.asarray(rr) + if input_type != "rr_ms": + if input_type not in ["peaks", "rr_s", "peaks_idx"]: + raise ValueError("Invalid input type") + else: + rr = input_conversion(rr, input_type=input_type, output_type="rr_ms") + clean_rr = rr.copy() - nEctopic, nShort, nLong, nExtra, nMissed = 0, 0, 0, 0, 0 artefacts = rr_artefacts(clean_rr) - # Correct missed beats - if missed_correction: - if np.any(artefacts["missed"]): - for this_id in np.where(artefacts["missed"])[0]: - this_id += nMissed - clean_rr = correct_missed(clean_rr, this_id) - nMissed += 1 - artefacts = rr_artefacts(clean_rr) - - # Correct extra beats - if extra_correction: - if np.any(artefacts["extra"]): - for this_id in np.where(artefacts["extra"])[0]: - this_id -= nExtra - clean_rr = correct_missed(clean_rr, this_id) - nExtra += 1 - artefacts = rr_artefacts(clean_rr) - - # Correct ectopic beats - if ectopic_correction: - if np.any(artefacts["ectopic"]): - # Also correct the beat before - for i in np.where(artefacts["ectopic"])[0]: - if (i > 0) & (i < len(artefacts["ectopic"])): - artefacts["ectopic"][i - 1] = True - this_id = np.where(artefacts["ectopic"])[0] - clean_rr = interpolate_bads(clean_rr, [this_id]) - nEctopic = np.sum(artefacts["ectopic"]) # type: ignore - - # Correct short beats - if short_correction: - if np.any(artefacts["short"]): - this_id = np.where(artefacts["short"])[0] - clean_rr = interpolate_bads(clean_rr, this_id) - nShort = len(this_id) - - # Correct long beats - if long_correction: - if np.any(artefacts["long"]): - this_id = np.where(artefacts["long"])[0] - clean_rr = interpolate_bads(clean_rr, this_id) - nLong = len(this_id) + if verbose: + print(f"Cleaning the RR interval time series using {n_iterations} iterations.") + + nEctopic, nShort, nLong, nExtra, nMissed = 0, 0, 0, 0, 0 + + # Loop across n_iterations and perform the requested corrections + for n_it in range(n_iterations): + + if verbose: + print(f" - Iteration {n_it+1} - ") + + # Correct missed beats + if missed_correction: + if np.any(artefacts["missed"]): + this_nmissed = 0 # How many corrected missed beat this iteration + for this_id in np.where(artefacts["missed"])[0]: + this_id += ( + this_nmissed # Adjust idx according to previous corrections + ) + clean_rr = correct_missed(clean_rr, this_id) + this_nmissed += 1 + if verbose: + print(f"... correcting {this_nmissed} missed interval(s).") + nMissed += this_nmissed # Update the total of corrected missed beats + artefacts = rr_artefacts(clean_rr) + + # Correct extra beats + if extra_correction: + if np.any(artefacts["extra"]): + this_nextra = 0 # How many corrected extra beat this iteration + for this_id in np.where(artefacts["extra"])[0]: + this_id -= ( + this_nextra # Adjust idx according to previous corrections + ) + clean_rr = correct_extra(clean_rr, this_id) + this_nextra += 1 + if verbose: + print(f"... correcting {this_nextra} extra interval(s).") + nExtra += this_nextra # Update the total of corrected missed beats + artefacts = rr_artefacts(clean_rr) + + # Correct ectopic beats + if ectopic_correction: + if np.any(artefacts["ectopic"]): + # Also correct the beat before + for i in np.where(artefacts["ectopic"])[0]: + if (i > 0) & (i < len(artefacts["ectopic"])): + artefacts["ectopic"][i - 1] = True + this_id = np.where(artefacts["ectopic"])[0] + clean_rr = interpolate_bads(clean_rr, [this_id]) + this_nectopic = np.sum(artefacts["ectopic"]) # type: ignore + if verbose: + print(f"... correcting {this_nectopic} ectopic interval(s).") + artefacts = rr_artefacts(clean_rr) + nEctopic += ( + this_nectopic # Update the total number of corrected ectopic beats + ) + + # Correct short beats + if short_correction: + if np.any(artefacts["short"]): + this_nshort = 0 # How many corrected short beat this iteration + this_id = np.where(artefacts["short"])[0] + clean_rr = interpolate_bads(clean_rr, this_id) + this_nshort += this_id.shape[0] + if verbose: + print(f"... correcting {this_nshort} short interval(s).") + artefacts = rr_artefacts(clean_rr) + nShort += ( + this_nshort # Update the total number of corrected short beats + ) + + # Correct long beats + if long_correction: + if np.any(artefacts["long"]): + this_nlong = 0 + this_id = np.where(artefacts["long"])[0] + clean_rr = interpolate_bads(clean_rr, this_id) + this_nlong += this_id.shape[0] + if verbose: + print(f"... correcting {this_nlong} long interval(s).") + artefacts = rr_artefacts(clean_rr) + nLong += this_nlong # Update the total number of corrected long beats return { "clean_rr": clean_rr, @@ -202,122 +266,159 @@ def correct_rr( def correct_peaks( peaks: Union[List, np.ndarray], + input_type: str = "peaks", extra_correction: bool = True, missed_correction: bool = True, + n_iterations: int = 2, + verbose: bool = True, ) -> Dict[str, Union[int, np.ndarray]]: """Correct long, short, extra, missed and ectopic beats in peaks vector. Parameters ---------- - peaks : 1d array-like + peaks : np.ndarray Boolean vector of peaks. + input_type : str + The type of input vector. Defaults to `"rr_ms"` for vectors of RR + intervals, or interbeat intervals (IBI), expressed in milliseconds. + Can also be a boolean vector where `1` represents the occurrence of + R waves or systolic peakspeaks vector `"rr_s"` or IBI expressed in + seconds. + extra_correction : bool + If `True` (default), correct extra peaks in the peaks time series. + missed_correction : bool + If `True` (default), correct missed peaks in the peaks time series. + n_iterations : int + How many time to repeat the detection-correction process. Defaults to `2`. + verbose : bool + Control the verbosity of the function. Defaults to `True`. Returns ------- correction : dictionnary The corrected RR time series and the number of artefacts corrected: - * clean_peaks: 1d array-like + * clean_peaks: np.ndarray The corrected boolean time-serie. - * ectopic: int - The number of ectopic beats corrected. - * short: int - The number of short beats corrected. - * long: int - The number of long beats corrcted. * extra: int The number of extra beats corrected. * missed: int The number of missed beats corrected. + + See also + -------- + correct_rr + + Notes + ----- + This function wil operate at the `peaks` vector level to keep the length of the + signal constant after peaks correction. + """ - if isinstance(peaks, list): - peaks = np.asarray(peaks, dtype=bool) + + peaks = np.asarray(peaks) + + if input_type != "peaks": + peaks = input_conversion(peaks, input_type, output_type="peaks") clean_peaks = peaks.copy() - nEctopic, nShort, nLong, nExtra, nMissed = 0, 0, 0, 0, 0 + nExtra, nMissed = 0, 0 + + if verbose: + print(f"Cleaning the peaks vector using {n_iterations} iterations.") + + for n_it in range(n_iterations): + + if verbose: + print(f" - Iteration {n_it+1} - ") + + # Correct extra peaks + if extra_correction: + + # Artefact detection + artefacts = rr_artefacts(clean_peaks, input_type="peaks") + + if np.any(artefacts["extra"]): + + peaks_idx = np.where(clean_peaks)[0][1:] + + # Convert the RR interval idx to sample idx + extra_idx = peaks_idx[np.where(artefacts["extra"])[0]] + + # Number of extra peaks to correct + this_nextra = artefacts["extra"].sum() + if verbose: + print(f"... correcting {this_nextra} extra peak(s).") + + nExtra += this_nextra + + # Removing peak n+1 to correct RR interval n + clean_peaks[extra_idx] = False + + artefacts = rr_artefacts(clean_peaks, input_type="peaks") + + # Correct missed peaks + if missed_correction: + if np.any(artefacts["missed"]): - artefacts = rr_artefacts(np.diff(np.where(clean_peaks)[0])) - - # Correct missed beats - if missed_correction: - if np.any(artefacts["missed"]): - for this_id in np.where(artefacts["missed"])[0]: - this_id += nMissed - clean_peaks = correct_missed_peaks(clean_peaks, this_id) - nMissed += 1 - artefacts = rr_artefacts(np.diff(np.where(clean_peaks)[0])) - - # Correct extra beats - if extra_correction: - if np.any(artefacts["extra"]): - for this_id in np.where(artefacts["extra"])[0]: - this_id -= nExtra - clean_peaks = correct_extra_peaks(clean_peaks, this_id) - nExtra += 1 - artefacts = rr_artefacts(np.diff(np.where(clean_peaks)[0])) + peaks_idx = np.where(clean_peaks)[0][1:] + + # Convert the RR interval idx to sample idx + missed_idx = peaks_idx[np.where(artefacts["missed"])[0]] + + # Number of missed peaks to correct + this_nmissed = artefacts["missed"].sum() + if verbose: + print(f"... correcting {this_nmissed} missed peak(s).") + + nMissed += this_nmissed + + # Correct missed peaks using sample index + for this_idx in missed_idx: + clean_peaks = correct_missed_peaks(clean_peaks, this_idx) + + # Artefact detection + artefacts = rr_artefacts(clean_peaks, input_type="peaks") return { "clean_peaks": clean_peaks, - "ectopic": nEctopic, - "short": nShort, - "long": nLong, "extra": nExtra, "missed": nMissed, } def correct_missed_peaks(peaks: Union[List, np.ndarray], idx: int) -> np.ndarray: - """Correct missed beats by adding a new RR interval. + """Correct missed peaks in boolean peak vector. + + The new peak is placed in the middle of the previous interval. Parameters ---------- - peaks : 1d array-like + peaks : np.ndarray Boolean vector of peaks. idx : int - Index of the missed RR interval. + Index of the peaks corresponding to the missed RR interval. The new peaks will + be placed between this one and the previous one. Returns ------- - clean_peaks : 1d array-like + clean_peaks : np.ndarray Corrected boolean vector of peaks. """ - if isinstance(peaks, list): - peaks = np.asarray(peaks, dtype=bool) + peaks = np.asarray(peaks, dtype=bool) + + if not peaks[idx]: + raise (ValueError("The index provided does not match with a peaks.")) clean_peaks = peaks.copy() - index = np.where(clean_peaks)[0] + + # The index of the previous peak + previous_idx = np.where(clean_peaks[:idx])[0][-1] # Estimate new interval - interval = int(round((index[idx + 1] - index[idx]) / 2)) + interval = int((idx - previous_idx) / 2) # Add peak in vector - clean_peaks[index[idx] + interval] = True - - return clean_peaks - - -def correct_extra_peaks(peaks: Union[List, np.ndarray], idx: int) -> np.ndarray: - """Correct extra beats by removing peak. - - Parameters - ---------- - peaks : 1d array-like - Boolean vector of peaks. - idx : int - Index of the missed RR interval. - - Returns - ------- - clean_peaks : 1d array-like - Corrected boolean vector of peaks. - """ - if isinstance(peaks, list): - peaks = np.asarray(peaks, dtype=bool) - - clean_peaks = peaks.copy() - index = np.where(clean_peaks)[0] - - # Remove peak in vector - clean_peaks[index[idx]] = False + clean_peaks[previous_idx + interval] = True return clean_peaks diff --git a/systole/datasets/__init__.py b/systole/datasets/__init__.py index 625dc9a1..6e24b92d 100644 --- a/systole/datasets/__init__.py +++ b/systole/datasets/__init__.py @@ -7,7 +7,7 @@ import numpy as np import pandas as pd -import requests +import requests # type: ignore from tqdm import tqdm ddir = op.dirname(op.realpath(__file__)) diff --git a/systole/detection.py b/systole/detection.py index 145021f4..de372696 100644 --- a/systole/detection.py +++ b/systole/detection.py @@ -4,14 +4,20 @@ import numpy as np import pandas as pd -from ecgdetectors import Detectors from scipy.interpolate import interp1d from scipy.signal import find_peaks -from systole.utils import to_neighbour +from systole.detectors import ( + christov, + engelse_zeelenberg, + hamilton, + moving_average, + pan_tompkins, +) +from systole.utils import input_conversion, to_neighbour -def oxi_peaks( +def ppg_peaks( x: Union[List, np.ndarray], sfreq: int = 75, win: float = 0.75, @@ -52,9 +58,9 @@ def oxi_peaks( Returns ------- - peaks : 1d array-like + peaks : np.ndarray Numpy array containing R peak timing, in sfreq. - resampled_signal : 1d array-like + resampled_signal : np.ndarray Signal resampled to the `new_sfreq` frequency. Notes @@ -70,26 +76,27 @@ def oxi_peaks( Examples -------- >>> from systole import import_ppg - >>> from systole.detection import oxi_peaks + >>> from systole.detection import ppg_peaks >>> df = import_ppg() # Import PPG recording - >>> signal, peaks = oxi_peaks(df.ppg.to_numpy()) + >>> signal, peaks = ppg_peaks(df.ppg.to_numpy()) >>> print(f'{sum(peaks)} peaks detected.') 378 peaks detected. References ---------- .. [1] van Gent, P., Farah, H., van Nes, N. and van Arem, B., 2019. - Analysing Noisy Driver Physiology Real-Time Using Off-the-Shelf Sensors: - Heart Rate Analysis Software from the Taking the Fast Lane Project. Journal - of Open Research Software, 7(1), p.32. DOI: http://doi.org/10.5334/jors.241 + Analysing Noisy Driver Physiology Real-Time Using Off-the-Shelf Sensors: + Heart Rate Analysis Software from the Taking the Fast Lane Project. Journal + of Open Research Software, 7(1), p.32. DOI: http://doi.org/10.5334/jors.241 """ + x = np.asarray(x) # Interpolate - f = interp1d(np.arange(0, len(x) / sfreq, 1 / sfreq), x, fill_value="extrapolate") - time = np.arange(0, len(x) / sfreq, 1 / new_sfreq) - x = f(time) + time = np.arange(0, len(x) / sfreq, 1 / sfreq) + new_time = np.arange(0, len(x) / sfreq, 1 / new_sfreq) + x = np.interp(new_time, time, x) # Copy resampled signal for output resampled_signal = np.copy(x) @@ -100,7 +107,7 @@ def oxi_peaks( if noise_removal is True: # Moving average (high frequency noise + clipping) - rollingNoise = int(new_sfreq * 0.05) # 0.05 second window + rollingNoise = max(int(new_sfreq * 0.05), 1) # 0.05 second window x = ( pd.DataFrame({"signal": x}) .rolling(rollingNoise, center=True) @@ -109,7 +116,7 @@ def oxi_peaks( ) if peak_enhancement is True: # Square signal (peak enhancement) - x = np.asarray(x) ** 2 + x = (np.asarray(x) ** 2) * np.sign(x) # Compute moving average and standard deviation signal = pd.DataFrame({"signal": x}) @@ -181,9 +188,6 @@ def ecg_peaks( Notes ----- - This function will call the py-ecg-detectors package to perform R wave - detection. - .. warning :: This function will resample the signal to 1000 Hz. Examples @@ -199,34 +203,30 @@ def ecg_peaks( References ---------- .. [1] Howell, L., Porr, B. Popular ECG R peak detectors written in - python. DOI: 10.5281/zenodo.3353396 + python. DOI: 10.5281/zenodo.3353396 """ - if isinstance(x, list): - x = np.asarray(x) + + x = np.asarray(x) # Interpolate - f = interp1d(np.arange(0, len(x) / sfreq, 1 / sfreq), x, fill_value="extrapolate") - time = np.arange(0, len(x) / sfreq, 1 / new_sfreq) - x = f(time) + time = np.arange(0, len(x) / sfreq, 1 / sfreq) + new_time = np.arange(0, len(x) / sfreq, 1 / new_sfreq) + x = np.interp(new_time, time, x) # Copy resampled signal for output resampled_signal = np.copy(x) - detectors = Detectors(new_sfreq) - if method == "hamilton": - peaks_idx = detectors.hamilton_detector(resampled_signal) + peaks_idx = hamilton(resampled_signal, sfreq=new_sfreq) elif method == "christov": - peaks_idx = detectors.christov_detector(resampled_signal) + peaks_idx = christov(resampled_signal, sfreq=new_sfreq) elif method == "engelse-zeelenberg": - peaks_idx = detectors.engzee_detector(resampled_signal) + peaks_idx = engelse_zeelenberg(resampled_signal, sfreq=new_sfreq) elif method == "pan-tompkins": - peaks_idx = detectors.pan_tompkins_detector(resampled_signal) - elif method == "wavelet-transform": - peaks_idx = detectors.swt_detector(resampled_signal) + peaks_idx = pan_tompkins(resampled_signal, sfreq=new_sfreq) elif method == "moving-average": - peaks_idx = detectors.two_average_detector(resampled_signal) + peaks_idx = moving_average(resampled_signal, sfreq=new_sfreq) else: raise ValueError( "Invalid method provided, should be: hamilton, " @@ -243,15 +243,20 @@ def ecg_peaks( def rr_artefacts( - rr: Union[List, np.ndarray], c1: float = 0.13, c2: float = 0.17, alpha: float = 5.2 + rr: Union[List, np.ndarray], + c1: float = 0.13, + c2: float = 0.17, + alpha: float = 5.2, + input_type: str = "rr_ms", ) -> Dict[str, np.ndarray]: """Artefacts detection from RR time series using the subspaces approach proposed by Lipponen & Tarvainen (2019). Parameters ---------- - rr : 1d array-like - Array of RR intervals. + rr : np.ndarray or list + 1d numpy array of RR intervals (in seconds or miliseconds) or peaks + vector (boolean array). c1 : float Fixed variable controling the slope of the threshold lines. Default is `0.13`. @@ -260,6 +265,12 @@ def rr_artefacts( is `0.17`. alpha : float Scaling factor used to normalize the RR intervals first deviation. + input_type : str + The type of input vector. Defaults to `"rr_ms"` for vectors of RR + intervals, or interbeat intervals (IBI), expressed in milliseconds. + Can also be a boolean vector where `1` represents the occurrence of + R waves or systolic peakspeaks vector `"rr_s"` or IBI expressed in + seconds. Returns ------- @@ -267,27 +278,27 @@ def rr_artefacts( Dictionnary storing the parameters of RR artefacts rejection. All the vectors outputed have the same length as the provided RR time serie: - * subspace1 : 1d array-like + * subspace1 : np.ndarray The first dimension. First derivative of R-R interval time serie. - * subspace2 : 1d array-like + * subspace2 : np.ndarray The second dimension (1st plot). - * subspace3 : 1d array-like + * subspace3 : np.ndarray The third dimension (2nd plot). - * mRR : 1d array-like + * mRR : np.ndarray The mRR time serie. - * ectopic : 1d array-like + * ectopic : np.ndarray Boolean array indexing probable ectopic beats. - * long : 1d array-like + * long : np.ndarray Boolean array indexing long RR intervals. - * short : 1d array-like + * short : np.ndarray Boolean array indexing short RR intervals. - * missed : 1d array-like + * missed : np.ndarray Boolean array indexing missed RR intervals. - * extra : 1d array-like + * extra : np.ndarray Boolean array indexing extra RR intervals. - * threshold1 : 1d array-like + * threshold1 : np.ndarray Threshold 1. - * threshold2 : 1d array-like + * threshold2 : np.ndarray Threshold 2. Notes @@ -312,8 +323,10 @@ def rr_artefacts( beat classification. Journal of Medical Engineering & Technology, 43(3), 173–181. https://doi.org/10.1080/03091902.2019.1640306 """ - if isinstance(rr, list): - rr = np.array(rr) + rr = np.asarray(rr) + + if input_type != "rr_ms": + rr = input_conversion(rr, input_type, output_type="rr_ms") ########### # Detection diff --git a/systole/detectors/__init__.py b/systole/detectors/__init__.py new file mode 100644 index 00000000..349a2893 --- /dev/null +++ b/systole/detectors/__init__.py @@ -0,0 +1,13 @@ +from .christov import christov +from .engelse_zeelenberg import engelse_zeelenberg +from .hamilton import hamilton +from .moving_average import moving_average +from .pan_tompkins import pan_tompkins + +__all__ = [ + "pan_tompkins", + "hamilton", + "christov", + "moving_average", + "engelse_zeelenberg", +] diff --git a/systole/detectors/christov.py b/systole/detectors/christov.py new file mode 100644 index 00000000..c369371f --- /dev/null +++ b/systole/detectors/christov.py @@ -0,0 +1,176 @@ +# Author: Nicolas Legrand + +import numpy as np +from numba import jit +from scipy.signal import lfilter + + +def christov(signal, sfreq): + """R peaks detection using Christov's method. + + Parameters + ---------- + signal : np.ndarray + The unfiltered ECG signal. + sfreq : int + The sampling frequency. + + Returns + ------- + peaks : np.ndarray + The indexs of the ECG peaks. + + References + ---------- + This function is directly adapted from py-ecg-detectors + (https://github.com/berndporr/py-ecg-detectors). This version of the code has been + optimized using Numba for better performances. + + [1].. Ivaylo I. Christov, Real time electrocardiogram QRS detection using + combined adaptive threshold, BioMedical Engineering OnLine 2004, vol. 3:28, + 2004. + """ + b, total_taps = numba_one(sfreq) + + MA1 = lfilter(b, [1], signal) + + b, total_taps = numba_two(sfreq, total_taps) + + MA2 = lfilter(b, [1], MA1) + + b, Y, total_taps = numba_three(sfreq, total_taps, MA2) + + MA3 = lfilter(b, [1], Y) + + peaks = numba_four(MA3, sfreq, total_taps) + + return peaks + + +@jit(nopython=True) +def numba_one(sfreq): + total_taps = 0 + + b = np.ones(int(0.02 * sfreq)) + b = b / int(0.02 * sfreq) + total_taps += len(b) + + return b, total_taps + + +@jit(nopython=True) +def numba_two(sfreq, total_taps): + b = np.ones(int(0.028 * sfreq)) + b = b / int(0.028 * sfreq) + total_taps += len(b) + + return b, total_taps + + +@jit(nopython=True) +def numba_three(sfreq, total_taps, MA2): + Y = [] + for i in range(1, len(MA2) - 1): + diff = abs(MA2[i + 1] - MA2[i - 1]) + Y.append(diff) + + b = np.ones(int(0.040 * sfreq)) + b = b / int(0.040 * sfreq) + total_taps += len(b) + + return b, Y, total_taps + + +@jit(nopython=True) +def numba_four(MA3, sfreq, total_taps): + + MA3[0:total_taps] = 0 + + ms50 = int(0.05 * sfreq) + ms200 = int(0.2 * sfreq) + ms1200 = int(1.2 * sfreq) + ms350 = int(0.35 * sfreq) + + M = 0 + newM5 = 0 + M_list = [] + MM = [] + M_slope = np.linspace(1.0, 0.6, ms1200 - ms200) + F = 0 + F_list = [] + R = 0 + RR = [] + Rm = 0 + R_list = [] + + MFR = 0 + MFR_list = [] + + QRS = [] + + for i in range(len(MA3)): + + # M + if i < 5 * sfreq: + M = 0.6 * np.max(MA3[: i + 1]) + MM.append(M) + if len(MM) > 5: + MM.pop(0) + + elif QRS and i < QRS[-1] + ms200: + newM5 = 0.6 * np.max(MA3[QRS[-1] : i]) + if newM5 > 1.5 * MM[-1]: + newM5 = 1.1 * MM[-1] + + elif QRS and i == QRS[-1] + ms200: + if newM5 == 0: + newM5 = MM[-1] + MM.append(newM5) + if len(MM) > 5: + MM.pop(0) + M = np.mean(np.asarray(MM)) + + elif QRS and i > QRS[-1] + ms200 and i < QRS[-1] + ms1200: + + M = np.mean(np.asarray(MM)) * M_slope[i - (QRS[-1] + ms200)] + + elif QRS and i > QRS[-1] + ms1200: + M = 0.6 * np.mean(np.asarray(MM)) + + # F + if i > ms350: + F_section = MA3[i - ms350 : i] + max_latest = np.max(F_section[-ms50:]) + max_earliest = np.max(F_section[:ms50]) + F = F + ((max_latest - max_earliest) / 150.0) + + # R + if QRS and i < QRS[-1] + int((2.0 / 3.0 * Rm)): + + R = 0 + + elif QRS and i > QRS[-1] + int((2.0 / 3.0 * Rm)) and i < QRS[-1] + Rm: + + dec = (M - np.mean(np.asarray(MM))) / 1.4 + R = 0 + dec + + MFR = M + F + R + M_list.append(M) + F_list.append(F) + R_list.append(R) + MFR_list.append(MFR) + + if not QRS and MA3[i] > MFR: + QRS.append(i) + + elif QRS and i > QRS[-1] + ms200 and MA3[i] > MFR: + QRS.append(i) + if len(QRS) > 2: + RR.append(QRS[-1] - QRS[-2]) + if len(RR) > 5: + RR.pop(0) + Rm = int(np.mean(np.asarray(RR))) + + QRS.pop(0) + + return np.asarray(QRS) diff --git a/systole/detectors/engelse_zeelenberg.py b/systole/detectors/engelse_zeelenberg.py new file mode 100644 index 00000000..12badbda --- /dev/null +++ b/systole/detectors/engelse_zeelenberg.py @@ -0,0 +1,159 @@ +# Author: Nicolas Legrand + +import numpy as np +from numba import jit +from scipy.signal import butter, lfilter + + +def engelse_zeelenberg(signal, sfreq): + """R peaks detection using Engelse and Zeelenberg's method. + + Parameters + ---------- + signal : np.ndarray + The unfiltered ECG signal. + sfreq : int + The sampling frequency. + + Returns + ------- + peaks : np.ndarray + The indexs of the ECG peaks. + + References + ---------- + This function is directly adapted from py-ecg-detectors + (https://github.com/berndporr/py-ecg-detectors). This version of the code has been + optimized using Numba for better performances. + + [1].. Engelse, W.A.H., Zeelenberg, C. A single scan algorithm for QRS detection and + feature extraction, IEEE Comp. in Cardiology, vol. 6, pp. 37-42, 1979 with + modifications A. Lourenco, H. Silva, P. Leite, R. Lourenco and A. Fred, + “Real Time Electrocardiogram Segmentation for Finger Based ECG Biometrics”, + BIOSIGNALS 2012, pp. 49-54, 2012. + """ + + f1 = 48 / sfreq + f2 = 52 / sfreq + b, a = butter(4, [f1 * 2, f2 * 2], btype="bandstop") + filtered_ecg = lfilter(b, a, signal) + + diff = numba_one(filtered_ecg) + + ci = [1, 4, 6, 4, 1] + low_pass = lfilter(ci, 1, diff) + + peaks = numba_two(sfreq, low_pass, signal) + + return peaks + + +@jit(nopython=True) +def numba_one(filtered_ecg): + diff = np.zeros(len(filtered_ecg)) + for i in range(4, len(diff)): + diff[i] = filtered_ecg[i] - filtered_ecg[i - 4] + return diff + + +@jit(nopython=True) +def numba_two(sfreq, low_pass, signal): + + low_pass[: int(0.2 * sfreq)] = 0 + + ms200 = int(0.2 * sfreq) + ms1200 = int(1.2 * sfreq) + ms160 = int(0.16 * sfreq) + neg_threshold = int(0.01 * sfreq) + + M = 0 + M_list = [] + neg_m = [] + MM = [] + M_slope = np.linspace(1.0, 0.6, ms1200 - ms200) + + QRS = [] + r_peaks = [] + + counter = 0 + + thi_list = [] + thi = False + thf_list = [] + thf = False + newM5 = False + + for i in range(len(low_pass)): + + # M + if i < 5 * sfreq: + M = 0.6 * np.max(low_pass[: i + 1]) + MM.append(M) + if len(MM) > 5: + MM.pop(0) + + elif QRS and i < QRS[-1] + ms200: + + newM5 = 0.6 * np.max(low_pass[QRS[-1] : i]) + + if newM5 > 1.5 * MM[-1]: + newM5 = 1.1 * MM[-1] + + elif newM5 and QRS and i == QRS[-1] + ms200: + MM.append(newM5) + if len(MM) > 5: + MM.pop(0) + M = np.mean(np.asarray(MM)) + + elif QRS and i > QRS[-1] + ms200 and i < QRS[-1] + ms1200: + + M = np.mean(np.asarray(MM)) * M_slope[i - (QRS[-1] + ms200)] + + elif QRS and i > QRS[-1] + ms1200: + M = 0.6 * np.mean(np.asarray(MM)) + + M_list.append(M) + neg_m.append(-M) + + if not QRS and low_pass[i] > M: + QRS.append(i) + thi_list.append(i) + thi = True + + elif QRS and i > QRS[-1] + ms200 and low_pass[i] > M: + QRS.append(i) + thi_list.append(i) + thi = True + + if thi and i < thi_list[-1] + ms160: + if low_pass[i] < -M and low_pass[i - 1] > -M: + # thf_list.append(i) + thf = True + + if thf and low_pass[i] < -M: + thf_list.append(i) + counter += 1 + + elif low_pass[i] > -M and thf: + counter = 0 + thi = False + thf = False + + elif thi and i > thi_list[-1] + ms160: + counter = 0 + thi = False + thf = False + + if counter > neg_threshold: + unfiltered_section = signal[thi_list[-1] - int(0.01 * sfreq) : i] + r_peaks.append( + np.argmax(unfiltered_section) + thi_list[-1] - int(0.01 * sfreq) + ) + counter = 0 + thi = False + thf = False + + # removing the 1st detection as it 1st needs the QRS complex amplitude for the threshold + r_peaks.pop(0) + + return r_peaks diff --git a/systole/detectors/hamilton.py b/systole/detectors/hamilton.py new file mode 100644 index 00000000..6a2c64b2 --- /dev/null +++ b/systole/detectors/hamilton.py @@ -0,0 +1,127 @@ +# Author: Nicolas Legrand + +import numpy as np +from numba import jit +from scipy.signal import butter, lfilter + + +def hamilton(signal: np.ndarray, sfreq: int) -> np.ndarray: + """R peaks detection using Hamilton's method. + + Parameters + ---------- + signal : np.ndarray + The unfiltered ECG signal. + sfreq : int + The sampling frequency. + + Returns + ------- + peaks : np.ndarray + The indexs of the ECG peaks. + + References + ---------- + This function is directly adapted from py-ecg-detectors + (https://github.com/berndporr/py-ecg-detectors). This version of the code has been + optimized using Numba for better performances. + + [1].. P.S. Hamilton, Open Source ECG Analysis Software Documentation, E.P.Limited, + 2002. + """ + frequencies = numba_first(signal, sfreq) + + b, a = butter(1, frequencies, btype="bandpass") + + filtered_ecg = lfilter(b, a, signal) + + diff, a, b = numba_second(filtered_ecg, sfreq) + + ma = lfilter(b, a, diff) + + peaks = numba_third(ma, b, sfreq) + + return peaks + + +@jit(nopython=True) +def numba_first(signal, sfreq): + signal = np.asarray(signal) + f1 = 8 / sfreq + f2 = 16 / sfreq + return [f1 * 2, f2 * 2] + + +@jit(nopython=True) +def numba_second(filtered_ecg, sfreq): + diff = np.abs(np.diff(filtered_ecg)) + b = np.ones(int(0.08 * sfreq)) + b = b / int(0.08 * sfreq) + a = [1] + return diff, a, b + + +@jit(nopython=True) +def numba_third(ma, b, sfreq): + ma[0 : len(b) * 2] = 0 + + n_pks = [] + n_pks_ave = 0.0 + s_pks = [] + s_pks_ave = 0.0 + QRS = [0] + RR = [] + RR_ave = 0.0 + + th = 0.0 + + i = 0 + idx = [] + peaks = [] + + for i in range(len(ma)): + + if i > 0 and i < len(ma) - 1: + if ma[i - 1] < ma[i] and ma[i + 1] < ma[i]: + peak = i + peaks.append(i) + + if ma[peak] > th and (peak - QRS[-1]) > 0.3 * sfreq: + QRS.append(peak) + idx.append(i) + s_pks.append(ma[peak]) + if len(n_pks) > 8: + s_pks.pop(0) + s_pks_ave = np.mean(np.asarray(s_pks)) + + if RR_ave != 0.0: + if QRS[-1] - QRS[-2] > 1.5 * RR_ave: + missed_peaks = peaks[idx[-2] + 1 : idx[-1]] + for missed_peak in missed_peaks: + if ( + missed_peak - peaks[idx[-2]] > int(0.360 * sfreq) + and ma[missed_peak] > 0.5 * th + ): + QRS.append(missed_peak) + QRS.sort() + break + + if len(QRS) > 2: + RR.append(QRS[-1] - QRS[-2]) + if len(RR) > 8: + RR.pop(0) + RR_ave = int(np.mean(np.asarray(RR))) + + else: + n_pks.append(ma[peak]) + if len(n_pks) > 8: + n_pks.pop(0) + n_pks_ave = np.mean(np.asarray(n_pks)) + + th = n_pks_ave + 0.45 * (s_pks_ave - n_pks_ave) + + i += 1 + + QRS.pop(0) + + return QRS diff --git a/systole/detectors/moving_average.py b/systole/detectors/moving_average.py new file mode 100644 index 00000000..23228762 --- /dev/null +++ b/systole/detectors/moving_average.py @@ -0,0 +1,83 @@ +# Author: Nicolas Legrand + +import numpy as np +from numba import jit +from scipy.signal import butter, lfilter + +from systole.detectors.pan_tompkins import MWA_cumulative + + +def moving_average(signal: np.ndarray, sfreq: int) -> np.ndarray: + """R peaks detection using two moving average. + + Parameters + ---------- + signal : np.ndarray + The unfiltered ECG signal. + sfreq : int + The sampling frequency. + + Returns + ------- + peaks : np.ndarray + The indexs of the ECG peaks. + + References + ---------- + This function is directly adapted from py-ecg-detectors + (https://github.com/berndporr/py-ecg-detectors). This version of the code has been + optimized using Numba for better performances. + + [1].. Elgendi, Mohamed & Jonkman, Mirjam & De Boer, Friso. (2010). Frequency Bands + Effects on QRS Detection. The 3rd International Conference on Bio-inspired + Systems and Signal Processing (BIOSIGNALS2010). 428-431. + """ + + f1 = 8 / sfreq + f2 = 20 / sfreq + + b, a = butter(2, [f1 * 2, f2 * 2], btype="bandpass") + + filtered_ecg = lfilter(b, a, signal) + + window1 = int(0.12 * sfreq) + mwa_qrs = MWA_cumulative(np.abs(filtered_ecg), window1) + + window2 = int(0.6 * sfreq) + mwa_beat = MWA_cumulative(np.abs(filtered_ecg), window2) + + peaks = numba_one(signal, mwa_qrs, mwa_beat, sfreq, filtered_ecg) + + return peaks + + +@jit(nopython=True) +def numba_one(signal, mwa_qrs, mwa_beat, sfreq, filtered_ecg): + + blocks = np.zeros(len(signal)) + block_height = np.max(filtered_ecg) + + for i in range(len(mwa_qrs)): + if mwa_qrs[i] > mwa_beat[i]: + blocks[i] = block_height + else: + blocks[i] = 0 + + QRS = [] + + for i in range(1, len(blocks)): + if blocks[i - 1] == 0 and blocks[i] == block_height: + start = i + + elif blocks[i - 1] == block_height and blocks[i] == 0: + end = i - 1 + + if end - start > int(0.08 * sfreq): + detection = np.argmax(filtered_ecg[start : end + 1]) + start + if QRS: + if detection - QRS[-1] > int(0.3 * sfreq): + QRS.append(detection) + else: + QRS.append(detection) + + return np.array(QRS) diff --git a/systole/detectors/pan_tompkins.py b/systole/detectors/pan_tompkins.py new file mode 100644 index 00000000..755f236d --- /dev/null +++ b/systole/detectors/pan_tompkins.py @@ -0,0 +1,154 @@ +# Author: Nicolas Legrand + +import numpy as np +from numba import jit +from scipy.signal import butter, lfilter + + +def pan_tompkins( + signal: np.ndarray, sfreq: int, moving_average: str = "cumulative" +) -> np.ndarray: + """ + Parameters + ---------- + signal : np.ndarray + The unfiltered ECG signal. + sfreq : int + The sampling frequency. + moving_average : str + The moving average function to use. + + References + ---------- + This function is directly adapted from py-ecg-detectors + (https://github.com/berndporr/py-ecg-detectors). This version of the code has been + optimized using Numba for better performances. + + [1].. Jiapu Pan and Willis J. Tompkins. A Real-Time QRS Detection Algorithm. + In: IEEE Transactions on Biomedical Engineering BME-32.3 (1985), pp. 230–236. + """ + signal = np.asarray(signal, dtype=float) + + f1 = 5 / sfreq + f2 = 15 / sfreq + + b, a = butter(1, [f1 * 2, f2 * 2], btype="bandpass") + + filtered_ecg = lfilter(b, a, signal) + + diff = np.diff(filtered_ecg) + + squared = diff * diff + + N = int(0.12 * sfreq) + ma = {"cumulative": MWA_cumulative} # Dict of moving average methods + mwa = ma[moving_average](squared, N) + mwa[: int(0.2 * sfreq)] = 0 + + peaks = panPeakDetect(mwa, sfreq) + + return peaks + + +@jit(nopython=True) +def MWA_cumulative(input_array: np.ndarray, window_size: int) -> np.ndarray: + """Cumulative moving average method""" + + ret = np.cumsum(input_array) + ret[window_size:] = ret[window_size:] - ret[:-window_size] + ret[: window_size - 1] /= np.arange(1, window_size) + ret[window_size - 1 :] = ret[window_size - 1 :] / window_size + + return ret + + +@jit(nopython=True) +def panPeakDetect(detection: np.ndarray, sfreq: int) -> np.ndarray: + """Pan-Tompkins detection algorithm. + + Parameters + ---------- + detection : + + sfreq : int] + The sampling frequency.] + + Returns + ------- + signal_peaks + The indexs of the ECG peaks. + """ + + min_distance = int(0.25 * sfreq) + + signal_peaks = [0] + noise_peaks = [] + + SPKI = 0.0 + NPKI = 0.0 + + threshold_I1 = 0.0 + threshold_I2 = 0.0 + + RR_missed = 0 + index = 0 + indexes = [] + + missed_peaks = [] + peaks = [] + + for i in range(len(detection)): + + if i > 0 and i < len(detection) - 1: + if detection[i - 1] < detection[i] and detection[i + 1] < detection[i]: + peak = i + peaks.append(i) + + if ( + detection[peak] > threshold_I1 + and (peak - signal_peaks[-1]) > 0.3 * sfreq + ): + + signal_peaks.append(peak) + indexes.append(index) + SPKI = 0.125 * detection[signal_peaks[-1]] + 0.875 * SPKI + if RR_missed != 0: + if signal_peaks[-1] - signal_peaks[-2] > RR_missed: + missed_section_peaks = peaks[indexes[-2] + 1 : indexes[-1]] + missed_section_peaks2 = [] + for missed_peak in missed_section_peaks: + if ( + missed_peak - signal_peaks[-2] > min_distance + and signal_peaks[-1] - missed_peak > min_distance + and detection[missed_peak] > threshold_I2 + ): + missed_section_peaks2.append(missed_peak) + + if len(missed_section_peaks2) > 0: + missed_peak = missed_section_peaks2[ + np.argmax( + detection[np.array(missed_section_peaks2)] + ) + ] + missed_peaks.append(missed_peak) + signal_peaks.append(signal_peaks[-1]) + signal_peaks[-2] = missed_peak + + else: + noise_peaks.append(peak) + NPKI = 0.125 * detection[noise_peaks[-1]] + 0.875 * NPKI + + threshold_I1 = NPKI + 0.25 * (SPKI - NPKI) + threshold_I2 = 0.5 * threshold_I1 + + if len(signal_peaks) > 8: + RR = np.array(signal_peaks[-9:]) + RR = RR[1:] - RR[:-1] + RR_ave = int(np.mean(RR)) + RR_missed = int(1.66 * RR_ave) + + index = index + 1 + + signal_peaks.pop(0) + + return signal_peaks diff --git a/systole/hrv.py b/systole/hrv.py index 01854d1b..0ba7670c 100644 --- a/systole/hrv.py +++ b/systole/hrv.py @@ -7,24 +7,34 @@ from scipy import interpolate from scipy.signal import welch +from systole.utils import input_conversion -def nnX(x: Union[List, np.ndarray], t: int = 50) -> float: + +def nnX(x: Union[List, np.ndarray], t: int = 50, input_type: str = "rr_ms") -> float: """Number of difference in successive R-R interval > t ms. Parameters ---------- - x : np.ndarray or list - Interval time-series (R-R, beat-to-beat...), in miliseconds. + x : np.ndarray | list + Interval time-series (R-R in seconds or miliseconds, peaks or peaks indexes). t : int Threshold value: Defaut is set to 50 ms to calculate the nn50 index. + input_type : str + The type of input provided. Can be `"peaks"`, `"peaks_idx"`, `"rr_ms"` or + `"rr_s"`. Defaults to `"rr_ms"`. Returns ------- nnX : float The number of successive differences larger than a value. + """ - if isinstance(x, list): - x = np.asarray(x) + + x = np.asarray(x) + + if input_type != "rr_ms": + x = input_conversion(x, input_type=input_type, output_type="rr_ms") + if len(x.shape) > 1: raise ValueError("X must be a 1darray") @@ -33,23 +43,31 @@ def nnX(x: Union[List, np.ndarray], t: int = 50) -> float: return nn -def pnnX(x: Union[List, np.ndarray], t: int = 50) -> float: +def pnnX(x: Union[List, np.ndarray], t: int = 50, input_type: str = "rr_ms") -> float: """Number of successive differences larger than a value (def = 50ms). Parameters ---------- - x : np.ndarray or list - Interval time-series (R-R, beat-to-beat...), in miliseconds. + x : np.ndarray | list + Interval time-series (R-R in seconds or miliseconds, peaks or peaks indexes). t : int Threshold value: Defaut is set to 50 ms to calculate the nn50 index. + input_type : str + The type of input provided. Can be `"peaks"`, `"peaks_idx"`, `"rr_ms"` or + `"rr_s"`. Defaults to `"rr_ms"`. Returns ------- nn : float The proportion of successive differences larger than a value (%). + """ - if isinstance(x, list): - x = np.asarray(x) + + x = np.asarray(x) + + if input_type != "rr_ms": + x = input_conversion(x, input_type=input_type, output_type="rr_ms") + if len(x.shape) > 1: raise ValueError("X must be a 1darray") @@ -62,32 +80,35 @@ def pnnX(x: Union[List, np.ndarray], t: int = 50) -> float: return pnnX -def rmssd(x: Union[List, np.ndarray]) -> float: +def rmssd(x: Union[List, np.ndarray], input_type: str = "rr_ms") -> float: """Root Mean Square of Successive Differences. Parameters ---------- - x : np.ndarray or list - Interval time-series (R-R, beat-to-beat...), in miliseconds. + x : np.ndarray | list + Interval time-series (R-R in seconds or miliseconds, peaks or peaks indexes). + input_type : str + The type of input provided. Can be `"peaks"`, `"peaks_idx"`, `"rr_ms"` or + `"rr_s"`. Defaults to `"rr_ms"`. Returns ------- y : float The Root Mean Square of Successive Differences (RMSSD). - Notes - ------ - The RMSSD is commonly used in the litterature as a good indexe of the - Autonomic Nervous System’s Parasympathetic activity. The RMSSD iS - computed using the following formula: - Examples -------- >>> rr = [800, 850, 810, 720] >>> rmssd(rr) + 63.77042156569664 + """ - if isinstance(x, list): - x = np.asarray(x) + + x = np.asarray(x) + + if input_type != "rr_ms": + x = input_conversion(x, input_type=input_type, output_type="rr_ms") + if len(x.shape) > 1: raise ValueError("X must be a 1darray") @@ -96,30 +117,33 @@ def rmssd(x: Union[List, np.ndarray]) -> float: return y -def time_domain(x: Union[List, np.ndarray]) -> pd.DataFrame: +def time_domain(x: Union[List, np.ndarray], input_type: str = "rr_ms") -> pd.DataFrame: """Extract all time domain parameters from R-R intervals. Parameters ---------- - x : np.ndarray or list - Interval time-series (R-R, beat-to-beat...), in miliseconds. + x : np.ndarray | list + Interval time-series (R-R in seconds or miliseconds, peaks or peaks indexes). + input_type : str + The type of input provided. Can be `"peaks"`, `"peaks_idx"`, `"rr_ms"` or + `"rr_s"`. Defaults to `"rr_ms"`. Returns ------- stats : :py:class:`pandas.DataFrame` Time domain summary statistics. - * ``'Mean RR'`` : Mean of R-R intervals. - * ``'Mean BPM'`` : Mean of beats per minutes. - * ``'Median RR'`` : Median of R-R intervals'. - * ``'Median BPM'`` : Meidan of beats per minutes. - * ``'MinRR'`` : Minimum R-R intervals. - * ``'MinBPM'`` : Minimum beats per minutes. - * ``'MaxRR'`` : Maximum R-R intervals. - * ``'MaxBPM'`` : Maximum beats per minutes. - * ``'SDNN'`` : Standard deviation of successive differences. - * ``'RMSSD'`` : Root Mean Square of the Successive Differences. - * ``'NN50'`` : number of successive differences larger than 50ms. - * ``'pNN50'`` : Proportion of successive difference larger than 50ms. + - ``'Mean RR'`` : Mean of R-R intervals. + - ``'Mean BPM'`` : Mean of beats per minutes. + - ``'Median RR'`` : Median of R-R intervals'. + - ``'Median BPM'`` : Meidan of beats per minutes. + - ``'MinRR'`` : Minimum R-R intervals. + - ``'MinBPM'`` : Minimum beats per minutes. + - ``'MaxRR'`` : Maximum R-R intervals. + - ``'MaxBPM'`` : Maximum beats per minutes. + - ``'SDNN'`` : Standard deviation of successive differences. + - ``'RMSSD'`` : Root Mean Square of the Successive Differences. + - ``'NN50'`` : number of successive differences larger than 50ms. + - ``'pNN50'`` : Proportion of successive difference larger than 50ms. See also -------- @@ -131,10 +155,19 @@ def time_domain(x: Union[List, np.ndarray]) -> pd.DataFrame: format to facilitate the creation of group summary data frame that can easily be transferred to other plotting or statistics library. You can easily convert it into a wide format for a subject-level inline report - using the py:pandas.pivot_table() function: + using the py:func:`pandas.pivot_table` function: >>> pd.pivot_table(stats, values='Values', columns='Metric') + + All time-domain results have been tested against Kubios HVR 2.2 + (). + """ + x = np.asarray(x) + + if input_type != "rr_ms": + x = input_conversion(x, input_type=input_type, output_type="rr_ms") + if len(x.shape) > 1: raise ValueError("X must be a 1darray") @@ -209,38 +242,99 @@ def time_domain(x: Union[List, np.ndarray]) -> pd.DataFrame: return stats +def psd( + rr: Union[List, np.ndarray], + sfreq: int = 5, + method: str = "welch", + input_type: str = "rr_ms", +) -> Tuple[np.ndarray, np.ndarray]: + """Extract the frequency domain features of heart rate variability. + + Parameters + ---------- + rr : np.ndarray | list + Interval time-series (R-R in seconds or miliseconds, peaks or peaks indexes). + sfreq : int + The sampling frequency (Hz) of the interpolated instantaneous heart + rate. + method : str + The method used to extract freauency power. Default is ``'welch'``. + input_type : str + The type of input provided. Can be `"peaks"`, `"peaks_idx"`, `"rr_ms"` or + `"rr_s"`. Defaults to `"rr_ms"`. + + Returns + ------- + freq, power : np.ndarray + The frequency and power spectral density of the given signal. + + See also + -------- + frequency_domain + """ + + rr = np.asarray(rr) + + if input_type != "rr_ms": + rr = input_conversion(rr, input_type=input_type, output_type="rr_ms") + + # Interpolate R-R interval + time = np.cumsum(rr) + f = interpolate.interp1d(time, rr, kind="cubic") + new_time = np.arange(time[0], time[-1], 1000 / sfreq) # sfreq = 5 Hz + x = f(new_time) + + if method == "welch": + + # Define window length + nperseg = 256 * sfreq + if nperseg > len(x): + nperseg = len(x) + + # Compute Power Spectral Density + freq, power = welch(x=x, fs=sfreq, nperseg=nperseg, nfft=nperseg) + + power = power / 1000000 + + return freq, power + + def frequency_domain( - x: Union[List, np.ndarray], + rr: Union[List, np.ndarray], sfreq: int = 5, method: str = "welch", fbands: Optional[Dict[str, Tuple[str, Tuple[float, float], str]]] = None, + input_type: str = "rr_ms", ) -> pd.DataFrame: """Extract the frequency domain features of heart rate variability. Parameters ---------- - x : np.ndarray or list - Interval time-series (R-R, beat-to-beat...), in miliseconds. + rr : np.ndarray | list + Interval time-series (R-R in seconds or miliseconds, peaks or peaks indexes). sfreq : int The sampling frequency (Hz). method : str The method used to extract freauency power. Default is ``'welch'``. - fbands : None | dict, optional + fbands : None | dict Dictionary containing the names of the frequency bands of interest (str), their range (tuples) and their color in the PSD plot. Default is >>> {'vlf': ('Very low frequency', (0.003, 0.04), 'b'), - >>> 'lf': ('Low frequency', (0.04, 0.15), 'g'), - >>> 'hf': ('High frequency', (0.15, 0.4), 'r')} + >>> 'lf': ('Low frequency', (0.04, 0.15), 'g'), + >>> 'hf': ('High frequency', (0.15, 0.4), 'r')}pip + input_type : str + The type of input provided. Can be `"peaks"`, `"peaks_idx"`, `"rr_ms"` or + `"rr_s"`. Defaults to `"rr_ms"`. Returns ------- stats : :py:class:`pandas.DataFrame` Frequency domain summary statistics. - * ``'power_vlf_per'`` : Very low frequency power (%). - * ``'power_lf_per'`` : Low frequency power (%). - * ``'power_hf_per'`` : High frequency power (%). - * ``'power_lf_nu'`` : Low frequency power (normalized units). - * ``'power_hf_nu'`` : High frequency power (normalized units). + - ``'power_vlf_per'`` : Very low frequency power (%). + - ``'power_lf_per'`` : Low frequency power (%). + - ``'power_hf_per'`` : High frequency power (%). + - ``'power_lf_nu'`` : Low frequency power (normalized units). + - ``'power_hf_nu'`` : High frequency power (normalized units). See also -------- @@ -252,26 +346,23 @@ def frequency_domain( format to facilitate the creation of group summary data frame that can easily be transferred to other plotting or statistics library. You can easily convert it into a wide format for a subject-level inline report - using the py:pandas.pivot_table() function: + using the py:func:`pandas.pivot_table` function: >>> pd.pivot_table(stats, values='Values', columns='Metric') - """ - # Interpolate R-R interval - time = np.cumsum(x) - f = interpolate.interp1d(time, x, kind="cubic") - new_time = np.arange(time[0], time[-1], 1000 / sfreq) # sfreq = 5 Hz - x = f(new_time) - if method == "welch": + .. warning:: + All frequency-domain results have been tested against Kubios HVR 2.2 + (). These results can slightly differ due to different + parametrization of the PSD estimation. We recommend to always check your results + against another software. - # Define window length - nperseg = 256 * sfreq - if nperseg > len(x): - nperseg = len(x) + """ - # Compute Power Spectral Density - freq, psd = welch(x=x, fs=sfreq, nperseg=nperseg, nfft=nperseg) + rr = np.asarray(rr) + + if input_type != "rr_ms": + rr = input_conversion(rr, input_type=input_type, output_type="rr_ms") - psd = psd / 1000000 + freq, power = psd(rr=rr, sfreq=sfreq, method=method, input_type="rr_ms") if fbands is None: fbands = { @@ -284,7 +375,7 @@ def frequency_domain( ######################## stats = pd.DataFrame([]) for band in fbands: - this_psd = psd[(freq >= fbands[band][1][0]) & (freq < fbands[band][1][1])] + this_psd = power[(freq >= fbands[band][1][0]) & (freq < fbands[band][1][1])] this_freq = freq[(freq >= fbands[band][1][0]) & (freq < fbands[band][1][1])] # Peaks (Hz) @@ -294,9 +385,9 @@ def frequency_domain( ) # Power (ms**2) - power = np.trapz(x=this_freq, y=this_psd) * 1000000 + this_power = np.trapz(x=this_freq, y=this_psd) * 1000000 stats = stats.append( - {"Values": power, "Metric": band + "_power"}, ignore_index=True + {"Values": this_power, "Metric": band + "_power"}, ignore_index=True ) hf = stats.Values[stats.Metric == "hf_power"].values[0] @@ -328,13 +419,16 @@ def frequency_domain( return stats -def nonlinear(x: Union[List, np.ndarray]) -> pd.DataFrame: +def nonlinear(x: Union[List, np.ndarray], input_type: str = "rr_ms") -> pd.DataFrame: """Extract the non-linear features of heart rate variability. Parameters ---------- - x : list or numpy array + x : list | np.ndarray Interval time-series (R-R, beat-to-beat...), in miliseconds. + input_type : str + The type of input provided. Can be `"peaks"`, `"peaks_idx"`, `"rr_ms"` or + `"rr_s"`. Defaults to `"rr_ms"`. Returns ------- @@ -355,8 +449,17 @@ def nonlinear(x: Union[List, np.ndarray]) -> pd.DataFrame: easily convert it into a wide format for a subject-level inline report using the py:pandas.pivot_table() function: >>> pd.pivot_table(stats, values='Values', columns='Metric') + + All time-domain results have been tested against Kubios HVR 2.2 + (). + """ + x = np.asarray(x) + + if input_type != "rr_ms": + x = input_conversion(x, input_type=input_type, output_type="rr_ms") + diff_rr = np.diff(x) sd1 = np.sqrt(np.std(diff_rr, ddof=1) ** 2 * 0.5) sd2 = np.sqrt(2 * np.std(x, ddof=1) ** 2 - 0.5 * np.std(diff_rr, ddof=1) ** 2) diff --git a/systole/plotly.py b/systole/plotly.py deleted file mode 100644 index 13ddfc0f..00000000 --- a/systole/plotly.py +++ /dev/null @@ -1,1101 +0,0 @@ -# Author: Nicolas Legrand - -from typing import TYPE_CHECKING, Dict, List, Union, overload - -import numpy as np -import pandas as pd - -from systole.correction import rr_artefacts -from systole.detection import ecg_peaks, oxi_peaks -from systole.hrv import frequency_domain, nonlinear, time_domain -from systole.plotting import plot_psd -from systole.utils import heart_rate - -if TYPE_CHECKING: - from plotly.graph_objs._figure import Figure - - -def plot_raw( - signal: Union[pd.DataFrame, List, np.ndarray], - sfreq: int = 75, - type: str = "ppg", - ecg_method: str = "hamilton", -) -> "Figure": - """Interactive visualization of PPG signal and systolic peaks detection. - - Parameters - ---------- - signal : :py:class:`pandas.DataFrame`, :py:class:`numpy.ndarray` or list - Dataframe of PPG or ECG signal in the long format. If a data frame is - provided, it should contain at least one ``'time'`` and one colum for - signal(either ``'ppg'`` or ``'ecg'``). If an array is provided, it will - automatically create a DataFrame using the array as signal and - ``sfreq`` as sampling frequency. - sfreq : int - Signal sampling frequency. Default is set to 75 Hz. - type : str - The type of signal provided. Can be ``'ppg'`` (pulse oximeter) or - ``'ecg'`` (electrocardiography). The peak detection algorithm used - depend on the type of signal provided. - ecg_method : str - Peak detection algorithm used by the - :py:func:`systole.detection.ecg_peaks` function. Can be one of the - following: `'hamilton'`, `'christov'`, `'engelse-zeelenberg'`, - `'pan-tompkins'`, `'wavelet-transform'`, `'moving-average'`. The - default is `'hamilton'`. - - Returns - ------- - raw : :py:class:`plotly.graph_objects.Figure` - Instance of :py:class:`plotly.graph_objects.Figure`. - - See also - -------- - plot_events, plot_ectopic, plot_shortLong, plot_subspaces, plot_frequency, - plot_timedomain, plot_nonlinear - - Examples - -------- - - Plotting PPG recording. - - .. jupyter-execute:: - - from systole import import_ppg - from systole.plotly import plot_raw - # Import PPG recording as pandas data frame - ppg = import_ppg() - # Only use the first 60 seconds for demonstration - ppg = ppg[ppg.time<60] - plot_raw(ppg) - - Plotting ECG recording. - - .. jupyter-execute:: - - from systole import import_dataset1 - from systole.plotly import plot_raw - # Import PPG recording as pandas data frame - ecg = import_dataset1(modalities=['ECG']) - # Only use the first 60 seconds for demonstration - ecg = ecg[ecg.time<60] - plot_raw(ecg, type='ecg', sfreq=1000, ecg_method='pan-tompkins') - """ - import plotly.graph_objs as go - from plotly.subplots import make_subplots - - if isinstance(signal, pd.DataFrame): - # Find peaks - Remove learning phase - if type == "ppg": - signal, peaks = oxi_peaks(signal.ppg, noise_removal=False) - elif type == "ecg": - signal, peaks = ecg_peaks(signal.ecg, method=ecg_method, find_local=True) - else: - signal = np.asarray(signal) - if type == "ppg": - signal, peaks = oxi_peaks(signal, noise_removal=False, sfreq=sfreq) - elif type == "ecg": - signal, peaks = ecg_peaks( - signal, method=ecg_method, sfreq=sfreq, find_local=True - ) - time = np.arange(0, len(signal)) / 1000 - - # Extract heart rate - hr, time = heart_rate(peaks, sfreq=1000, unit="rr", kind="linear") - - ############# - # Upper panel - ############# - - # Signal - ppg_trace = go.Scattergl( - x=time, - y=signal, - mode="lines", - name="PPG signal", - hoverinfo="skip", - showlegend=False, - line=dict(width=1, color="#c44e52"), - ) - # Peaks - peaks_trace = go.Scattergl( - x=time[peaks], - y=signal[peaks], - mode="markers", - name="Peaks", - hoverinfo="y", - showlegend=False, - marker=dict(size=8, color="white", line=dict(width=2, color="DarkSlateGrey")), - ) - - ############# - # Lower panel - ############# - - # Instantaneous Heart Rate - Lines - rr_trace = go.Scattergl( - x=time, - y=hr, - mode="lines", - name="R-R intervals", - hoverinfo="skip", - showlegend=False, - line=dict(width=1, color="#4c72b0"), - ) - - # Instantaneous Heart Rate - Peaks - rr_peaks = go.Scattergl( - x=time[peaks], - y=hr[peaks], - mode="markers", - name="R-R intervals", - showlegend=False, - marker=dict(size=6, color="white", line=dict(width=2, color="DarkSlateGrey")), - ) - - raw = make_subplots( - rows=2, - cols=1, - shared_xaxes=True, - vertical_spacing=0.05, - row_titles=["Recording", "Heart rate"], - ) - - raw.update_layout( - plot_bgcolor="white", - paper_bgcolor="white", - margin=dict(l=5, r=5, b=5, t=5), - autosize=True, - xaxis_title="Time (s)", - ) - - raw.add_trace(ppg_trace, 1, 1) - raw.add_trace(peaks_trace, 1, 1) - raw.add_trace(rr_trace, 2, 1) - raw.add_trace(rr_peaks, 2, 1) - - return raw - - -@overload -def plot_ectopic( - rr: None, - artefacts: Dict[str, np.ndarray], -) -> "Figure": - ... - - -@overload -def plot_ectopic( - rr: Union[List[float], np.ndarray], - artefacts: None, -) -> "Figure": - ... - - -@overload -def plot_ectopic( - rr: Union[List[float], np.ndarray], - artefacts: Dict[str, np.ndarray], -) -> "Figure": - ... - - -def plot_ectopic(rr=None, artefacts=None): - """Plot interactive ectobeats subspace. - - Parameters - ---------- - rr : 1d array-like or None - Interval time-series (R-R, beat-to-beat...), in miliseconds. - artefacts : dict or None - The artefacts detected using - :py:func:`systole.detection.rr_artefacts()`. - - Returns - ------- - subspacesPlot : :py:class:`plotly.graph_objects.Figure` - Instance of :py:class:`plotly.graph_objects.Figure`. - - See also - -------- - plot_events, plot_ectopic, plot_shortLong, plot_subspaces, plot_frequency, - plot_timedomain, plot_nonlinear - - Notes - ----- - If both *rr* or *artefacts* are provided, will recompute *artefacts* - given the current rr time-series. - - Examples - -------- - - Visualizing ectopic subspace from RR time series. - - .. jupyter-execute:: - - from systole import import_rr - from systole.plotly import plot_ectopic - # Import PPG recording as numpy array - rr = import_rr().rr.to_numpy() - plot_ectopic(rr) - - Visualizing ectopic subspace from the `artefact` dictionary. - - .. jupyter-execute:: - - from systole import import_rr - from systole.plotly import plot_ectopic - from systole.detection import rr_artefacts - # Import PPG recording as numpy array - rr = import_rr().rr.to_numpy() - # Use the rr_artefacts function to find ectopic beats - artefacts = rr_artefacts(rr) - plot_ectopic(artefacts=artefacts) - """ - import plotly.express as px - import plotly.graph_objs as go - - c1, c2, xlim, ylim = 0.13, 0.17, 10, 5 - - if artefacts is None: - if rr is None: - raise ValueError("rr or artefacts should be provided") - artefacts = rr_artefacts(rr) - - outliers = ( - artefacts["ectopic"] - | artefacts["short"] - | artefacts["long"] - | artefacts["extra"] - | artefacts["missed"] - ) - - # All vlaues fit in the x and y lims - for this_art in [artefacts["subspace1"], artefacts["subspace2"]]: - this_art[this_art > xlim] = xlim - this_art[this_art < -xlim] = -xlim - this_art[this_art > ylim] = ylim - this_art[this_art < -ylim] = -ylim - - subspacesPlot = go.Figure() - - # Upper area - def f1(x): - return -c1 * x + c2 - - subspacesPlot.add_trace( - go.Scatter( - x=[-10, -10, -1, -1], - y=[f1(-10), 10, 10, f1(-1)], - fill="toself", - mode="lines", - opacity=0.2, - showlegend=False, - fillcolor="gray", - hoverinfo="none", - line_color="gray", - ) - ) - - # Lower area - def f2(x): - return -c1 * x - c2 - - subspacesPlot.add_trace( - go.Scatter( - x=[1, 1, 10, 10], - y=[f2(1), -10, -10, f2(10)], - fill="toself", - mode="lines", - opacity=0.2, - showlegend=False, - fillcolor="gray", - hoverinfo="none", - line_color="gray", - text="Points only", - ) - ) - - # Plot normal intervals - subspacesPlot.add_trace( - go.Scattergl( - x=artefacts["subspace1"][~outliers], - y=artefacts["subspace2"][~outliers], - mode="markers", - showlegend=False, - name="Normal", - marker=dict( - size=8, - color="#4c72b0", - opacity=0.2, - line=dict(width=2, color="DarkSlateGrey"), - ), - ) - ) - - # Plot ectopic beats - subspacesPlot.add_trace( - go.Scattergl( - x=artefacts["subspace1"][artefacts["ectopic"]], - y=artefacts["subspace2"][artefacts["ectopic"]], - mode="markers", - name="Ectopic beats", - showlegend=False, - marker=dict( - size=10, color="#c44e52", line=dict(width=2, color="DarkSlateGrey") - ), - ) - ) - - # Plot missed beats - subspacesPlot.add_trace( - go.Scattergl( - x=artefacts["subspace1"][artefacts["missed"]], - y=artefacts["subspace2"][artefacts["missed"]], - mode="markers", - name="Missed beats", - showlegend=False, - marker=dict( - size=10, - color=px.colors.sequential.Greens[8], - line=dict(width=2, color="DarkSlateGrey"), - ), - ) - ) - - # Plot long beats - subspacesPlot.add_trace( - go.Scattergl( - x=artefacts["subspace1"][artefacts["long"]], - y=artefacts["subspace2"][artefacts["long"]], - mode="markers", - name="Long beats", - marker_symbol="square", - showlegend=False, - marker=dict( - size=10, - color=px.colors.sequential.Greens[6], - line=dict(width=2, color="DarkSlateGrey"), - ), - ) - ) - - # Plot extra beats - subspacesPlot.add_trace( - go.Scattergl( - x=artefacts["subspace1"][artefacts["extra"]], - y=artefacts["subspace2"][artefacts["extra"]], - mode="markers", - name="Extra beats", - showlegend=False, - marker=dict( - size=10, - color=px.colors.sequential.Purples[8], - line=dict(width=2, color="DarkSlateGrey"), - ), - ) - ) - # Plot short beats - subspacesPlot.add_trace( - go.Scattergl( - x=artefacts["subspace1"][artefacts["short"]], - y=artefacts["subspace2"][artefacts["short"]], - mode="markers", - name="Short beats", - marker_symbol="square", - showlegend=False, - marker=dict( - size=10, - color=px.colors.sequential.Purples[6], - line=dict(width=2, color="DarkSlateGrey"), - ), - ) - ) - - subspacesPlot.update_layout( - width=600, - height=600, - xaxis_title=r"Subspace $S_{11}$", - yaxis_title=r"Subspace $S_{12}$", - template="simple_white", - title={ - "text": "Ectopic beats", - "x": 0.5, - "xanchor": "center", - "yanchor": "top", - }, - ) - - subspacesPlot.update_xaxes( - showline=True, linewidth=2, linecolor="black", range=[-xlim, xlim] - ) - subspacesPlot.update_yaxes( - showline=True, linewidth=2, linecolor="black", range=[-ylim, ylim] - ) - - return subspacesPlot - - -@overload -def plot_shortLong( - rr: None, - artefacts: Dict[str, np.ndarray], -) -> "Figure": - ... - - -@overload -def plot_shortLong( - rr: Union[List[float], np.ndarray], - artefacts: None, -) -> "Figure": - ... - - -@overload -def plot_shortLong( - rr: Union[List[float], np.ndarray], - artefacts: Dict[str, np.ndarray], -) -> "Figure": - ... - - -def plot_shortLong(rr=None, artefacts=None) -> "Figure": - """Plot interactive short/long subspace. - - Parameters - ---------- - rr : 1d array-like or None - Interval time-series (R-R, beat-to-beat...), in miliseconds. - artefacts : dict or None - The artefacts detected using - :py:func:`systole.detection.rr_artefacts()`. - - Returns - ------- - subspacesPlot : :py:class:`plotly.graph_objects.Figure` - Instance of :py:class:`plotly.graph_objects.Figure`. - - See also - -------- - plot_events, plot_ectopic, plot_shortLong, plot_subspaces, plot_frequency, - plot_timedomain, plot_nonlinear - - Notes - ----- - If both ``rr`` or ``artefacts`` are provided, will recompute ``artefacts`` - given the current rr time-series. - - Examples - -------- - - Visualizing short/long and missed/extra intervals from RR time series. - - .. jupyter-execute:: - - from systole import import_rr - from systole.plotly import plot_shortLong - # Import PPG recording as numpy array - rr = import_rr().rr.to_numpy() - plot_shortLong(rr) - - Visualizing ectopic subspace from the `artefact` dictionary. - - .. jupyter-execute:: - - from systole import import_rr - from systole.plotly import plot_shortLong - from systole.detection import rr_artefacts - # Import PPG recording as numpy array - rr = import_rr().rr.to_numpy() - # Use the rr_artefacts function to short/long - # and extra/missed intervals - artefacts = rr_artefacts(rr) - plot_shortLong(artefacts=artefacts) - """ - import plotly.express as px - import plotly.graph_objs as go - - xlim, ylim = 10, 10 - - if artefacts is None: - if rr is None: - raise ValueError("rr or artefacts should be provided") - artefacts = rr_artefacts(rr) - - outliers = ( - artefacts["ectopic"] - | artefacts["short"] - | artefacts["long"] - | artefacts["extra"] - | artefacts["missed"] - ) - - # All vlaues fit in the x and y lims - for this_art in [artefacts["subspace1"], artefacts["subspace3"]]: - this_art[this_art > xlim] = xlim - this_art[this_art < -xlim] = -xlim - this_art[this_art > ylim] = ylim - this_art[this_art < -ylim] = -ylim - - subspacesPlot = go.Figure() - - # Upper area - subspacesPlot.add_trace( - go.Scatter( - x=[-10, -10, -1, -1], - y=[1, 10, 10, 1], - fill="toself", - mode="lines", - opacity=0.2, - showlegend=False, - fillcolor="gray", - hoverinfo="none", - line_color="gray", - ) - ) - - # Lower area - subspacesPlot.add_trace( - go.Scatter( - x=[1, 1, 10, 10], - y=[-1, -10, -10, -1], - fill="toself", - mode="lines", - opacity=0.2, - showlegend=False, - fillcolor="gray", - hoverinfo="none", - line_color="gray", - text="Points only", - ) - ) - - # Plot normal intervals - subspacesPlot.add_trace( - go.Scattergl( - x=artefacts["subspace1"][~outliers], - y=artefacts["subspace3"][~outliers], - mode="markers", - showlegend=False, - name="Normal", - marker=dict( - size=8, - color="#4c72b0", - opacity=0.2, - line=dict(width=2, color="DarkSlateGrey"), - ), - ) - ) - - # Plot ectopic beats - subspacesPlot.add_trace( - go.Scattergl( - x=artefacts["subspace1"][artefacts["ectopic"]], - y=artefacts["subspace3"][artefacts["ectopic"]], - mode="markers", - name="Ectopic beats", - showlegend=False, - marker=dict( - size=10, color="#c44e52", line=dict(width=2, color="DarkSlateGrey") - ), - ) - ) - - # Plot missed beats - subspacesPlot.add_trace( - go.Scattergl( - x=artefacts["subspace1"][artefacts["missed"]], - y=artefacts["subspace3"][artefacts["missed"]], - mode="markers", - name="Missed beats", - showlegend=False, - marker=dict( - size=10, - color=px.colors.sequential.Greens[8], - line=dict(width=2, color="DarkSlateGrey"), - ), - ) - ) - - # Plot long beats - subspacesPlot.add_trace( - go.Scattergl( - x=artefacts["subspace1"][artefacts["long"]], - y=artefacts["subspace3"][artefacts["long"]], - mode="markers", - name="Long beats", - marker_symbol="square", - showlegend=False, - marker=dict( - size=10, - color=px.colors.sequential.Greens[6], - line=dict(width=2, color="DarkSlateGrey"), - ), - ) - ) - - # Plot extra beats - subspacesPlot.add_trace( - go.Scattergl( - x=artefacts["subspace1"][artefacts["extra"]], - y=artefacts["subspace3"][artefacts["extra"]], - mode="markers", - name="Extra beats", - showlegend=False, - marker=dict( - size=10, - color=px.colors.sequential.Purples[8], - line=dict(width=2, color="DarkSlateGrey"), - ), - ) - ) - # Plot short beats - subspacesPlot.add_trace( - go.Scattergl( - x=artefacts["subspace1"][artefacts["short"]], - y=artefacts["subspace3"][artefacts["short"]], - mode="markers", - name="Short beats", - marker_symbol="square", - showlegend=False, - marker=dict( - size=10, - color=px.colors.sequential.Purples[6], - line=dict(width=2, color="DarkSlateGrey"), - ), - ) - ) - - subspacesPlot.update_layout( - width=600, - height=600, - xaxis_title=r"Subspace $S_{11}$", - yaxis_title=r"Subspace $S_{12}$", - template="simple_white", - title={ - "text": "Short/longs beats", - "x": 0.5, - "xanchor": "center", - "yanchor": "top", - }, - ) - - subspacesPlot.update_xaxes( - showline=True, linewidth=2, linecolor="black", range=[-xlim, xlim] - ) - subspacesPlot.update_yaxes( - showline=True, linewidth=2, linecolor="black", range=[-ylim, ylim] - ) - - return subspacesPlot - - -def plot_subspaces(rr: Union[List[float], np.ndarray], height: float = 400) -> "Figure": - """Plot hrv subspace as described by Lipponen & Tarvainen (2019) [#]_. - - Parameters - ---------- - rr : np.ndarray or list - Interval time-series (R-R, beat-to-beat...), in miliseconds. - height : int - Height of the figure. The width will be set to `height*2` by default. - - Returns - ------- - fig : :py:class:`plotly.graph_objects.Figure` - Instance of :py:class:`plotly.graph_objects.Figure`. - - See also - -------- - plot_events, plot_ectopic, plot_shortLong, plot_subspaces, plot_frequency, - plot_timedomain, plot_nonlinear - - References - ---------- - ..[#] Lipponen, J. A., & Tarvainen, M. P. (2019). A robust algorithm for - heart rate variability time series artefact correction using novel beat - classification. Journal of Medical Engineering & Technology, 43(3), - 173–181. https://doi.org/10.1080/03091902.2019.1640306 - - Examples - -------- - - Visualizing artefacts from RR time series. - - .. jupyter-execute:: - - from systole import import_rr - from systole.plotly import plot_subspaces - # Import PPG recording as numpy array - rr = import_rr().rr.to_numpy() - plot_subspaces(rr) - """ - from plotly.subplots import make_subplots - - rr = np.asarray(rr) - - xlim, ylim = 10, 10 - fig = make_subplots( - rows=1, - cols=2, - column_widths=[0.5, 0.5], - subplot_titles=("Ectopic", "Short/longs beats"), - ) - - ectopic = plot_ectopic(rr=rr) # type: ignore - sl = plot_shortLong(rr=rr) # type: ignore - - for traces in ectopic.data: - fig.add_traces([traces], rows=[1], cols=[1]) - for traces in sl.data: - fig.add_traces([traces], rows=[1], cols=[2]) - - fig.update_layout( - width=height * 2, - height=height, - xaxis_title=r"Subspace $S_{11}$", - yaxis_title=r"Subspace $S_{12}$", - xaxis2_title=r"Subspace $S_{21}$", - yaxis2_title=r"Subspace $S_{22}$", - template="simple_white", - ) - - fig.update_xaxes( - showline=True, linewidth=2, linecolor="black", range=[-xlim, xlim], row=1, col=1 - ) - fig.update_yaxes( - showline=True, linewidth=2, linecolor="black", range=[-ylim, ylim], row=1, col=1 - ) - - fig.update_xaxes( - showline=True, linewidth=2, linecolor="black", range=[-xlim, xlim], row=1, col=2 - ) - fig.update_yaxes( - showline=True, linewidth=2, linecolor="black", range=[-ylim, ylim], row=1, col=2 - ) - - return fig - - -def plot_frequency(rr: Union[np.ndarray, list]) -> "Figure": - """Plot PSD and frequency domain metrics. - - Parameters - ---------- - rr : 1d array-like - Interval time-series (R-R, beat-to-beat...), in miliseconds. - - Returns - ------- - fig : :py:class:`plotly.graph_objects.Figure` - Instance of :py:class:`plotly.graph_objects.Figure`. - - See also - -------- - plot_events, plot_ectopic, plot_shortLong, plot_subspaces, plot_frequency, - plot_timedomain, plot_nonlinear - - Examples - -------- - - Visualizing HRV frequency domain from RR time series. - - .. jupyter-execute:: - - from systole import import_rr - from systole.plotly import plot_frequency - # Import PPG recording as numpy array - rr = import_rr().rr.to_numpy() - plot_frequency(rr) - """ - import plotly.graph_objs as go - from plotly.subplots import make_subplots - - df = frequency_domain(rr).round(2) - - fig = make_subplots( - rows=2, - cols=1, - shared_xaxes=True, - specs=[[{"type": "scatter"}], [{"type": "table"}]], - ) - - fig.add_trace( - go.Table( - header=dict( - values=[ - "Frequency band (HZ)", - "Peak (Hz)", - "Power (ms2)", - "Power (%)", - "Power (n.u.)", - ], - align="center", - ), - cells=dict( - values=[ - [ - "VLF \n (0-0.04 Hz)", - "LF \n (0.04 - 0.15 Hz)", - "HF \n (0.15 - 0.4 Hz)", - ], - [ - df[df.Metric == "vlf_peak"].Values, - df[df.Metric == "lf_peak"].Values, - df[df.Metric == "hf_peak"].Values, - ], - [ - df[df.Metric == "vlf_power"].Values, - df[df.Metric == "lf_power"].Values, - df[df.Metric == "hf_power"].Values, - ], - [ - "-", - df[df.Metric == "power_lf_nu"].Values, - df[df.Metric == "power_hf_nu"].Values, - ], - [ - "-", - df[df.Metric == "power_lf_per"].Values, - df[df.Metric == "power_hf_per"].Values, - ], - ], - align="center", - ), - ), - row=2, - col=1, - ) - - freq, psd = plot_psd(rr, show=False) - - fbands = { - "vlf": ("Very low frequency", (0.003, 0.04), "#4c72b0"), - "lf": ("Low frequency", (0.04, 0.15), "#55a868"), - "hf": ("High frequency", (0.15, 0.4), "#c44e52"), - } - - for f in ["vlf", "lf", "hf"]: - mask = (freq >= fbands[f][1][0]) & (freq <= fbands[f][1][1]) - fig.add_trace( - go.Scatter( - x=freq[mask], - y=psd[mask], - fill="tozeroy", - mode="lines", - showlegend=False, - line_color=fbands[f][2], - line=dict(shape="spline", smoothing=1, width=1, color="#fac1b7"), - ), - row=1, - col=1, - ) - - fig.update_layout( - plot_bgcolor="white", - paper_bgcolor="white", - margin=dict(l=5, r=5, b=5, t=5), - autosize=True, - width=600, - height=600, - xaxis_title="Frequencies (Hz)", - yaxis_title="PSD", - title={"text": "FFT Spectrum", "x": 0.5, "xanchor": "center", "yanchor": "top"}, - ) - fig.update_xaxes(showline=True, linewidth=2, linecolor="black") - fig.update_yaxes(showline=True, linewidth=2, linecolor="black") - - return fig - - -def plot_nonlinear(rr: Union[np.ndarray, List]) -> "Figure": - """Plot nonlinear domain. - - Parameters - ---------- - rr : 1d array-like - Interval time-series (R-R, beat-to-beat...), in miliseconds. - - Returns - ------- - fig : :py:class:`plotly.graph_objects.Figure` - Instance of :py:class:`plotly.graph_objects.Figure`. - - See also - -------- - plot_events, plot_ectopic, plot_shortLong, plot_subspaces, plot_frequency, - plot_timedomain, plot_nonlinear - - Examples - -------- - - Visualizing HRV non linear domain from RR time series. - - .. jupyter-execute:: - - from systole import import_rr - from systole.plotly import plot_nonlinear - # Import PPG recording as numpy array - rr = import_rr().rr.to_numpy() - plot_nonlinear(rr) - """ - import plotly.graph_objs as go - from plotly.subplots import make_subplots - - rr = np.asarray(rr) - - df = nonlinear(rr).round(2) - - fig = make_subplots( - rows=2, - cols=1, - specs=[[{"type": "scatter"}], [{"type": "table"}]], - ) - - fig.add_trace( - go.Table( - header=dict( - values=["Pointcare Plot", "Value"], align="center" - ), - cells=dict( - values=[ - ["SD1", "SD2"], - [df[df.Metric == "SD1"].Values, df[df.Metric == "SD2"].Values], - ], - align="center", - ), - ), - row=2, - col=1, - ) - - ax_min = rr.min() - (rr.max() - rr.min()) * 0.1 - ax_max = rr.max() + (rr.max() - rr.min()) * 0.1 - - fig.add_trace( - go.Scattergl( - x=rr[:-1], - y=rr[1:], - mode="markers", - opacity=0.6, - showlegend=False, - marker=dict( - size=8, color="#4c72b0", line=dict(width=2, color="DarkSlateGrey") - ), - ) - ) - - fig.add_trace(go.Scatter(x=[0, 4000], y=[0, 4000], showlegend=False)) - - fig.update_layout( - plot_bgcolor="white", - paper_bgcolor="white", - margin=dict(l=5, r=5, b=5, t=5), - autosize=True, - width=500, - height=800, - xaxis_title="RRn (ms)", - yaxis_title="RRn+1 (ms)", - title={ - "text": "Pointcare Plot", - "x": 0.5, - "xanchor": "center", - "yanchor": "top", - }, - ) - fig.update_xaxes( - showline=True, linewidth=2, linecolor="black", range=[ax_min, ax_max] - ) - fig.update_yaxes( - showline=True, linewidth=2, linecolor="black", range=[ax_min, ax_max] - ) - - return fig - - -def plot_timedomain(rr: Union[np.ndarray, list]) -> "Figure": - """Plot time domain metrics and the histogram of RR intervals. - - Parameters - ---------- - rr : np.ndarray or list - Interval time-series (R-R, beat-to-beat...), in miliseconds. - - Returns - ------- - fig : :py:class:`plotly.graph_objects.Figure` - Instance of :py:class:`plotly.graph_objects.Figure`. - - See also - -------- - plot_events, plot_ectopic, plot_shortLong, plot_subspaces, plot_frequency, - plot_timedomain, plot_nonlinear - - Examples - -------- - - Visualizing HRV time domain metrics from RR time series. - - .. jupyter-execute:: - - from systole import import_rr - from systole.plotly import plot_nonlinear - # Import PPG recording as numpy array - rr = import_rr().rr.to_numpy() - plot_nonlinear(rr) - """ - import plotly.graph_objs as go - from plotly.subplots import make_subplots - - df = time_domain(rr).round(2) - - fig = make_subplots( - rows=2, - cols=1, - specs=[[{"type": "scatter"}], [{"type": "table"}]], - ) - - fig.add_trace( - go.Table( - header=dict( - values=["Variable", "Unit", "Value"], - align="center", - ), - cells=dict( - values=[ - ["Mean RR", "Mean BPM", "SDNN", "RMSSD", "pnn50"], - ["(ms)", "(1/min)", "(ms)", "(ms)", "(%)"], - [ - df[df.Metric == "MeanRR"].Values, - df[df.Metric == "MeanBPM"].Values, - df[df.Metric == "SDNN"].Values, - df[df.Metric == "RMSSD"].Values, - df[df.Metric == "pnn50"].Values, - ], - ], - align="center", - ), - ), - row=2, - col=1, - ) - - fig.add_trace(go.Histogram(x=rr, marker={"line": {"width": 2}, "color": "#4c72b0"})) - - fig.update_layout( - plot_bgcolor="white", - paper_bgcolor="white", - margin=dict(l=5, r=5, b=5, t=5), - autosize=True, - width=500, - height=800, - xaxis_title="RR intervals (ms)", - yaxis_title="Counts", - title={"text": "Distribution", "x": 0.5, "xanchor": "center", "yanchor": "top"}, - ) - fig.update_xaxes(showline=True, linewidth=2, linecolor="black") - fig.update_yaxes(showline=True, linewidth=2, linecolor="black") - - return fig diff --git a/systole/plots/__init__.py b/systole/plots/__init__.py new file mode 100644 index 00000000..aa8265b0 --- /dev/null +++ b/systole/plots/__init__.py @@ -0,0 +1,24 @@ +"""Plotting functions.""" +from .plot_circular import plot_circular +from .plot_ectopic import plot_ectopic +from .plot_events import plot_events +from .plot_evoked import plot_evoked +from .plot_frequency import plot_frequency +from .plot_pointcare import plot_pointcare +from .plot_raw import plot_raw +from .plot_rr import plot_rr +from .plot_shortlong import plot_shortlong +from .plot_subspaces import plot_subspaces + +__all__ = [ + "plot_circular", + "plot_rr", + "plot_raw", + "plot_events", + "plot_evoked", + "plot_subspaces", + "plot_ectopic", + "plot_shortlong", + "plot_frequency", + "plot_pointcare", +] diff --git a/systole/plots/backends/__init__.py b/systole/plots/backends/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/systole/plots/backends/bokeh/__init__.py b/systole/plots/backends/bokeh/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/systole/plots/backends/bokeh/plot_ectopic.py b/systole/plots/backends/bokeh/plot_ectopic.py new file mode 100644 index 00000000..61de4709 --- /dev/null +++ b/systole/plots/backends/bokeh/plot_ectopic.py @@ -0,0 +1,139 @@ +# Author: Nicolas Legrand + +from typing import Dict + +import numpy as np +from bokeh.plotting import figure +from bokeh.plotting.figure import Figure + + +def plot_ectopic( + artefacts=Dict[str, np.ndarray], figsize: int = 600, ax=None +) -> Figure: + """Plot interactive ectopic subspace. + + Parameters + ---------- + artefacts : dict or None + The artefacts detected using + :py:func:`systole.detection.rr_artefacts()`. + figsize : int + Figure heights. Default is `600`. + ax : None + Only apply when using Matplotlib backend. + + Returns + ------- + ectopic_plot : :class:`bokeh.plotting.figure.Figure` + The boken figure containing the plot. + + """ + c1, c2, xlim, ylim = 0.13, 0.17, 10, 5 + + outliers = ( + artefacts["ectopic"] + | artefacts["short"] + | artefacts["long"] + | artefacts["extra"] + | artefacts["missed"] + ) + + # All values fit in the x and y lims + for this_art in [artefacts["subspace1"]]: + this_art[this_art > xlim] = xlim + this_art[this_art < -xlim] = -xlim + for this_art in [artefacts["subspace2"]]: + this_art[this_art > ylim] = ylim + this_art[this_art < -ylim] = -ylim + + ectopic_plot = figure( + title="Ectopic beats", + plot_height=figsize, + plot_width=figsize, + x_axis_label="Subspace 1", + y_axis_label="Subspace 2", + output_backend="webgl", + x_range=[-xlim, xlim], + y_range=[-ylim, ylim], + ) + + # Upper area + def f1(x): + return -c1 * x + c2 + + ectopic_plot.patch( + [-10, -10, -1, -1], [f1(-5), 5, 5, f1(-1)], alpha=0.2, color="grey" + ) + + # Lower area + def f2(x): + return -c1 * x - c2 + + ectopic_plot.patch([1, 1, 10, 10], [f2(1), -5, -5, f2(5)], alpha=0.2, color="grey") + + # Plot normal intervals + ectopic_plot.circle( + artefacts["subspace1"][~outliers], + artefacts["subspace2"][~outliers], + color="gray", + size=8, + alpha=0.2, + legend_label="Standard IBI", + ) + + # Plot ectopic beats + if artefacts["ectopic"].any(): + ectopic_plot.triangle( + artefacts["subspace1"][artefacts["ectopic"]], + artefacts["subspace2"][artefacts["ectopic"]], + size=8, + alpha=0.8, + legend_label="Ectopic beats", + color="#6c0073", + ) + + # Plot missed beats + if artefacts["missed"].any(): + ectopic_plot.square( + artefacts["subspace1"][artefacts["missed"]], + artefacts["subspace2"][artefacts["missed"]], + size=8, + alpha=0.8, + legend_label="Missed beats", + color="#2f5f91", + ) + + # Plot long beats + if artefacts["long"].any(): + ectopic_plot.circle( + artefacts["subspace1"][artefacts["long"]], + artefacts["subspace2"][artefacts["long"]], + size=8, + alpha=0.8, + legend_label="Long beats", + color="#9ac1d4", + ) + + # Plot extra beats + if artefacts["extra"].any(): + ectopic_plot.square( + artefacts["subspace1"][artefacts["extra"]], + artefacts["subspace2"][artefacts["extra"]], + size=8, + alpha=0.8, + legend_label="Extra beats", + color="#9d2b39", + ) + + # Plot short beats + if artefacts["short"].any(): + ectopic_plot.circle( + artefacts["subspace1"][artefacts["short"]], + artefacts["subspace2"][artefacts["short"]], + size=8, + alpha=0.8, + legend_label="Short beats", + color="#c56c5e", + ) + + return ectopic_plot diff --git a/systole/plots/backends/bokeh/plot_events.py b/systole/plots/backends/bokeh/plot_events.py new file mode 100644 index 00000000..d1e85aef --- /dev/null +++ b/systole/plots/backends/bokeh/plot_events.py @@ -0,0 +1,86 @@ +# Author: Nicolas Legrand + +from typing import Optional + +import pandas as pd +from bokeh.models import BoxAnnotation, Span +from bokeh.plotting import ColumnDataSource, figure +from bokeh.plotting.figure import Figure + + +def plot_events( + df: pd.DataFrame, + figsize: int = 400, + ax: Optional[Figure] = None, +) -> Figure: + """Plot events occurence across recording. + + Parameters + ---------- + df : pd.DataFrame + The events data frame (tmin, trigger, tmax, label, color, [behavior]). + figsize : tuple + Figure size. Default is `(13, 5)`. + ax : :class:`bokeh.plotting.figure.Figure` or None + Where to draw the plot. Default is `None` (create a new figure). + + Returns + ------- + event_plot : :class:`bokeh.plotting.figure.Figure` + The bokeh figure containing the plot. + + """ + + if ax is None: + TOOLTIPS = [ + ("(x,y)", "($tmin, $tmax)"), + ] + + event_plot = figure( + title="Events", + sizing_mode="stretch_width", + plot_height=figsize, + x_axis_label="Time", + x_axis_type="datetime", + y_range=(0, 1), + tooltips=TOOLTIPS, + ) + # Plot time course of events + event_source = ColumnDataSource(data=df) + + event_plot.circle( + x="trigger", + y=0.5, + size=10, + line_color="color", + fill_color="white", + legend_field="label", + line_width=3, + source=event_source, + ) + # Hide y axis if no other time series is provided + event_plot.yaxis.visible = False + + else: + event_plot = ax + + # Loop across events df + for i, tmin, trigger, tmax, label, color in df.itertuples(): + + # Plot time range + event_range = BoxAnnotation( + left=tmin, right=tmax, fill_alpha=0.2, fill_color=color + ) + event_plot.add_layout(event_range) + + # Plot trigger + event_trigger = Span( + location=trigger, + dimension="height", + line_color="gray", + line_dash="dashed", + line_width=1, + ) + event_plot.add_layout(event_trigger) + + return event_plot diff --git a/systole/plots/backends/bokeh/plot_evoked.py b/systole/plots/backends/bokeh/plot_evoked.py new file mode 100644 index 00000000..464d2e2f --- /dev/null +++ b/systole/plots/backends/bokeh/plot_evoked.py @@ -0,0 +1,124 @@ +# Author: Nicolas Legrand + +from typing import Iterable, List, Tuple + +import numpy as np +import pandas as pd +from bokeh.models import Band, ColumnDataSource, Span +from bokeh.plotting import figure +from bokeh.plotting.figure import Figure + + +def plot_evoked( + epochs: List[np.ndarray], + time: np.ndarray, + palette: Iterable, + figsize: Tuple[float, float], + labels: str, + unit: str, + ax=None, + ci: str = "sd", +) -> Figure: + """Plot continuous or discontinuous RR intervals time series. + + Parameters + ---------- + epochs : list + A 2d (trial * time) numpy array containing the time series + of the epoched signal. + time : float + Start and end time of the epochs in seconds, relative to the + time-locked event. Defaults to -1 and 10, respectively. + palette : int + The sampling frequency of the epoched data. + figsize : str + The lines color. + labels : str + The condition label. + unit : str + The heart rate unit. Can be `'rr'` (R-R intervals, in ms) or `'bpm'` (beats + per minutes). Default is `'bpm'`. + ax : tuple + Figure size. Default is `(400, 400)`. + ci : int | str + The confidence interval around the point estimates. Only `"sd"` is currently + implemented. + + Returns + ------- + evoked_plot : :class:`bokeh.plotting.figure.Figure` + The bokeh figure containing the plot. + + """ + + if ci not in ["sd"]: + raise ValueError("This method is not yet implemented.") + + ylabel = "R-R interval (ms)" if unit == "rr" else "Beats per minute (bpm)" + + evoked_plot = figure( + title="Instantaneous heart rate", + sizing_mode="fixed", + plot_width=figsize[0], + plot_height=figsize[1], + x_axis_label="Time", + y_axis_label=ylabel, + ) + + # Vertical and horizontal lines + vline = Span( + location=0, + dimension="height", + line_color="grey", + line_width=2, + line_dash="dashed", + ) + hline = Span(location=0, dimension="width", line_color="black", line_width=1) + evoked_plot.renderers.extend([vline, hline]) + + # Loop across condition + for ep, lab, col in zip(epochs, labels, palette): + + for i in range(ep.shape[0]): + evoked_plot.line( + x=time, + y=ep[i], + alpha=0.2, + line_color=col, + ) + + df_source = pd.DataFrame( + { + "time": time, + "average": ep.mean(0), + "lower": ep.mean(0) - ep.std(0), + "upper": ep.mean(0) + ep.std(0), + } + ) + + source = ColumnDataSource(df_source) + + # Show confidence interval + band = Band( + base="time", + lower="lower", + upper="upper", + source=source, + level="underlay", + fill_alpha=0.2, + line_width=1, + fill_color=col, + ) + evoked_plot.add_layout(band) + + # Show average + evoked_plot.line( + x="time", + y="average", + source=source, + line_width=2, + legend_label=lab, + line_color=col, + ) + + return evoked_plot diff --git a/systole/plots/backends/bokeh/plot_frequency.py b/systole/plots/backends/bokeh/plot_frequency.py new file mode 100644 index 00000000..6c57fe23 --- /dev/null +++ b/systole/plots/backends/bokeh/plot_frequency.py @@ -0,0 +1,77 @@ +# Author: Nicolas Legrand + +from typing import Dict, List, Optional, Tuple, Union + +import numpy as np +from bokeh.plotting import figure +from bokeh.plotting.figure import Figure + + +def plot_frequency( + freq: np.ndarray, + power: np.ndarray, + figsize: Optional[Union[List[int], Tuple[int, int], int]] = None, + fbands: Optional[Dict[str, Tuple[str, Tuple[float, float], str]]] = None, + ax=None, +) -> "Figure": + """Plot the frequency component of the heart rate variability. + + Parameters + ---------- + freq : np.ndarray + Frequencies. + power : np.ndarray + Power spectral density. + fbands : None | dict, optional + Dictionary containing the names of the frequency bands of interest + (str), their range (tuples) and their color in the PSD plot. + Default is: + >>> {'vlf': ('Very low frequency', (0.003, 0.04), 'b'), + >>> 'lf': ('Low frequency', (0.04, 0.15), 'g'), + >>> 'hf': ('High frequency', (0.15, 0.4), 'r')} + figsize : list, tuple, int or None + Figure size. Default is `(13, 5)`. + ax : :class:`matplotlib.axes.Axes` or None + Where to draw the plot. Default is `None` (create a new figure). + + Returns + ------- + psd_plot : :class:`bokeh.plotting.figure.Figure` + The boken figure containing the plot. + + """ + if isinstance(figsize, int): + height, width = figsize, figsize + elif figsize is None: + figsize = (13, 5) + elif isinstance(figsize, list) | isinstance(figsize, tuple): + width, height = figsize + + psd_plot = figure( + title="Power spectral density", + plot_height=height, + plot_width=width, + x_axis_label="Frequency (Hz)", + y_axis_label="PSD [s²/Hz]", + output_backend="webgl", + ) + + if fbands is None: + fbands = { + "vlf": ("Very low frequency", (0.003, 0.04), "#4c72b0"), + "lf": ("Low frequency", (0.04, 0.15), "#55a868"), + "hf": ("High frequency", (0.15, 0.4), "#c44e52"), + } + + for f in ["vlf", "lf", "hf"]: + mask = (freq >= fbands[f][1][0]) & (freq <= fbands[f][1][1]) + + # Line + psd_plot.line(freq[mask], power[mask], color="grey") + + # Fill area + psd_plot.varea( + x=freq[mask], y1=0, y2=power[mask], color=fbands[f][2], alpha=0.2 + ) + + return psd_plot diff --git a/systole/plots/backends/bokeh/plot_pointcare.py b/systole/plots/backends/bokeh/plot_pointcare.py new file mode 100644 index 00000000..fc430ddd --- /dev/null +++ b/systole/plots/backends/bokeh/plot_pointcare.py @@ -0,0 +1,128 @@ +# Author: Nicolas Legrand + +from typing import List, Optional, Tuple, Union + +import numpy as np +from bokeh.models import Arrow, NormalHead +from bokeh.plotting import figure +from bokeh.plotting.figure import Figure + +from systole.hrv import nonlinear + + +def plot_pointcare( + rr: np.ndarray, + figsize: Optional[Union[List[int], Tuple[int, int], int]] = None, + ax=None, +) -> Figure: + """Pointcare plot. + + Parameters + ---------- + rr : np.ndarray + RR intervals (miliseconds). + figsize : list, tuple, int or None + Figure size. Default is `(13, 5)`. + ax : :class:`matplotlib.axes.Axes` or None + Where to draw the plot. Default is `None` (create a new figure). + + Returns + ------- + pointcare_plot : :class:`bokeh.plotting.figure.Figure` + The pointcare plot. + + """ + if figsize is None: + height, width = 400, 400 + elif isinstance(figsize, int): + height, width = figsize, figsize + else: + width, height = figsize + + if np.any(rr >= 3000) | np.any(rr <= 200): + + # Set outliers to reasonable values for plotting + rr[np.where(rr > 3000)[0]] = 3000 + rr[np.where(rr < 200)[0]] = 200 + + # Create x and y vectors + rr_x, rr_y = rr[:-1], rr[1:] + + # Find outliers idx + outliers = (rr_x == 3000) | (rr_x == 200) | (rr_y == 3000) | (rr_y == 200) + range_min, range_max = rr.min() - 50, rr.max() + 50 + + pointcare_plot = figure( + title="Pointcaré plot", + plot_height=height, + plot_width=width, + x_axis_label="RR (n)", + y_axis_label="RR (n+1)", + output_backend="webgl", + x_range=[range_min, range_max], + y_range=[range_min, range_max], + ) + + # Identity line + pointcare_plot.line( + [range_min, range_max], [range_min, range_max], color="grey", line_dash="dashed" + ) + + # Compute SD1 and SD2 metrics + df = nonlinear(rr) + sd1 = df[df["Metric"] == "SD1"]["Values"].values[0] + sd2 = df[df["Metric"] == "SD2"]["Values"].values[0] + + # Ellipse + pointcare_plot.ellipse( + x=rr_x[~outliers].mean(), + y=rr_y[~outliers].mean(), + height=sd1 * 2, + width=sd2 * 2, + angle=np.pi / 4, + fill_alpha=0.4, + fill_color="#a9373b", + line_alpha=1.0, + line_width=3, + line_color="gray", + line_dash="dashed", + ) + + # Scatter plot - valid intervals only + pointcare_plot.circle( + rr_x[~outliers], + rr_y[~outliers], + size=2.5, + fill_color="#4c72b0", + line_color="gray", + alpha=0.2, + ) + + # Scatter plot - outliers + pointcare_plot.circle( + rr_x[outliers], rr_y[outliers], size=5, color="#a9373b", alpha=0.8 + ) + + # SD1 arrow + pointcare_plot.add_layout( + Arrow( + end=NormalHead(fill_color="blue", size=10), + x_start=rr_x[~outliers].mean(), + y_start=rr_y[~outliers].mean(), + x_end=rr_x[~outliers].mean() + (-sd1 * np.cos(np.deg2rad(45))), + y_end=rr_y[~outliers].mean() + sd1 * np.sin(np.deg2rad(45)), + ) + ) + + # SD2 arrow + pointcare_plot.add_layout( + Arrow( + end=NormalHead(fill_color="green", size=10), + x_start=rr_x[~outliers].mean(), + y_start=rr_y[~outliers].mean(), + x_end=rr_x[~outliers].mean() + sd2 * np.cos(np.deg2rad(45)), + y_end=rr_y[~outliers].mean() + sd2 * np.sin(np.deg2rad(45)), + ) + ) + + return pointcare_plot diff --git a/systole/plots/backends/bokeh/plot_raw.py b/systole/plots/backends/bokeh/plot_raw.py new file mode 100644 index 00000000..eabcbcaa --- /dev/null +++ b/systole/plots/backends/bokeh/plot_raw.py @@ -0,0 +1,163 @@ +# Author: Nicolas Legrand + +from typing import List, Optional, Union + +import numpy as np +from bokeh.layouts import column +from bokeh.models import ColumnDataSource, RangeTool +from bokeh.plotting import figure +from bokeh.plotting.figure import Figure +from matplotlib.axes import Axes +from pandas.core.indexes.datetimes import DatetimeIndex + +from systole.plots import plot_rr + + +def plot_raw( + time: DatetimeIndex, + signal: np.ndarray, + peaks: np.ndarray, + modality: str = "ppg", + show_heart_rate: bool = True, + show_artefacts: bool = False, + ax: Optional[Union[List, Axes]] = None, + slider: bool = True, + figsize: int = 300, + **kwargs +) -> Figure: + """Visualization of PPG or ECG signal with systolic peaks/R wave detection. + + The instantaneous heart rate can be derived in a second row. + + Parameters + ---------- + time : :py:class:`pandas.core.indexes.datetimes.DatetimeIndex` + The time index. + signal : :py:class:`numpy.ndarray` + The physiological signal (1d numpy array). + peaks : :py:class:`numpy.ndarray` + The peaks or R wave detection (1d boolean array). + modality : str + The recording modality. Can be `"ppg"` or `"ecg"`. + show_heart_rate : bool + If `True`, create a second row and plot the instantanesou heart rate + derived from the physiological signal + (calls :py:func:`systole.plots.plot_rr` internally). Defaults to `False`. + show_artefacts : bool + If `True`, the function will call + py:func:`systole.detection.rr_artefacts` to detect outliers intervalin the time + serie and outline them using different colors. + ax : :class:`matplotlib.axes.Axes` list or None + Where to draw the plot. Default is *None* (create a new figure). Only + applies when `backend="matplotlib"`. If `show_heart_rate is True`, a list + of axes can be provided to plot the signal and instantaneous heart rate + separately. + slider : bool + If `True`, add a slider to zoom in/out in the signal (only working with + bokeh backend). + figsize : int + Figure heights. Default is `300`. + **kwargs : keyword arguments + Additional arguments will be passed to + `:py:func:systole.detection.ppg_peaks()` or + `:py:func:systole.detection.ecg_peaks()`, depending on the type + of data. + + Returns + ------- + raw : :class:`bokeh.plotting.figure.Figure` + The bokeh figure containing the plot. + """ + + source = ColumnDataSource( + data={"time": time[::10], "signal": signal[::10], "peaks": peaks[::10]} + ) + + if modality == "ppg": + title = "PPG recording" + ylabel = "PPG level (a.u.)" + peaks_label = "Systolic peaks" + signal_label = "PPG signal" + elif modality == "ecg": + title = "ECG recording" + ylabel = "ECG (mV)" + peaks_label = "R wave" + signal_label = "ECG signal" + + # Raw plot + ########## + + raw = figure( + title=title, + x_axis_type="datetime", + sizing_mode="stretch_width", + plot_height=figsize, + x_axis_label="Time", + y_axis_label=ylabel, + output_backend="webgl", + x_range=(time[0], time[-1]), + ) + + raw.line( + "time", + "signal", + source=source, + legend_label=signal_label, + line_color="#a9373b", + ) + + raw.circle( + x=time[peaks], + y=signal[peaks], + size=5, + legend_label=peaks_label, + fill_color="lightgrey", + line_color="grey", + ) + raw.legend.title = "Raw signal" + + cols = (raw,) + + # Instantaneous heart rate + ########################## + if show_heart_rate is True: + instantaneous_hr = plot_rr( + peaks, + input_type="peaks", + backend="bokeh", + figsize=figsize, + slider=False, + line=True, + show_artefacts=show_artefacts, + ) + instantaneous_hr.x_range = raw.x_range + + cols += (instantaneous_hr,) # type: ignore + + if slider is True: + select = figure( + title="Select the time window", + y_range=raw.y_range, + y_axis_type=None, + plot_height=int(figsize * 0.5), + x_axis_type="datetime", + tools="", + toolbar_location=None, + background_fill_color="#efefef", + ) + + range_tool = RangeTool(x_range=raw.x_range) + range_tool.overlay.fill_color = "navy" + range_tool.overlay.fill_alpha = 0.2 + + select.line("time", "signal", source=source) + select.ygrid.grid_line_color = None + select.add_tools(range_tool) + select.toolbar.active_multi = range_tool + + cols += (select,) # type: ignore + + if len(cols) > 1: + return column(*cols, sizing_mode="stretch_width") + else: + return cols[0] diff --git a/systole/plots/backends/bokeh/plot_rr.py b/systole/plots/backends/bokeh/plot_rr.py new file mode 100644 index 00000000..ff47a99a --- /dev/null +++ b/systole/plots/backends/bokeh/plot_rr.py @@ -0,0 +1,296 @@ +# Author: Nicolas Legrand + +from typing import Dict, Optional + +import numpy as np +import pandas as pd +from bokeh.layouts import column +from bokeh.models import BoxAnnotation, CDSView, Circle, IndexFilter, Line, Range1d +from bokeh.models.tools import HoverTool, RangeTool +from bokeh.plotting import ColumnDataSource, figure +from bokeh.plotting.figure import Figure + + +def plot_rr( + rr: np.ndarray, + unit: str = "rr", + kind: str = "cubic", + line: bool = True, + points: bool = True, + artefacts: Optional[Dict[str, np.ndarray]] = None, + input_type: str = "peaks", + show_limits: bool = True, + slider: bool = True, + ax=None, + figsize: int = 200, +) -> Figure: + """Plot continuous or discontinuous RR intervals time series. + + Parameters + ---------- + rr : np.ndarray + 1d numpy array of RR intervals (in seconds or miliseconds) or peaks + vector (boolean array). + unit : str + The heart rate unit in use. Can be `'rr'` (R-R intervals, in ms) + or `'bpm'` (beats per minutes). Default is `'rr'`. + kind : str + The method to use (parameter of `scipy.interpolate.interp1d`). The + possible relevant methods for instantaneous heart rate are `'cubic'` + (defalut), `'linear'`, `'previous'` and `'next'`. + line : bool + If `True`, plot the interpolated instantaneous heart rate. + points : bool + If `True`, plot each peaks (R wave or systolic peaks) as separated + points. + artefacts : dict + Dictionnary storing the parameters of RR artefacts rejection. + input_type : str + The type of input vector. Can be `"peaks"`, `"peaks_idx"`, `"rr_ms"`, + or `"rr_s"`. Default to `"peaks"`. + show_limits : bool + Use shaded areas to represent the range of physiologically impossible R-R + intervals. Defaults to `True`. + slider : bool + If `True`, add a slider to zoom in/out in the signal (only working with + bokeh backend). + ax : None + Only relevant when using `backend="matplotlib"`. + figsize : int + The height of the figure. Default is `200`. + + Returns + ------- + fig : :class:`bokeh.plotting.figure.Figure` + The bokeh figure containing the plot. + + """ + + ylabel = "R-R interval (ms)" if unit == "rr" else "Beats per minute (bpm)" + + p1 = figure( + title="Instantaneous heart rate", + sizing_mode="stretch_width", + plot_height=figsize, + x_axis_label="Time", + x_axis_type="datetime", + y_axis_label=ylabel, + output_backend="webgl", + tools="pan,wheel_zoom,box_zoom,box_select,reset,save", + ) + + # Instantaneous Heart Rate - Peaks + if input_type == "rr_ms": + ibi = np.array(rr) + rr_idx = pd.to_datetime(np.cumsum(ibi), unit="ms", origin="unix") + elif input_type == "rr_s": + ibi = np.array(rr) * 1000 + rr_idx = pd.to_datetime(np.cumsum(ibi), unit="ms", origin="unix") + elif input_type == "peaks": + ibi = np.diff(np.where(rr)[0]) + rr_idx = pd.to_datetime(np.where(rr)[0][1:], unit="ms", origin="unix") + elif input_type == "peaks_idx": + ibi = np.diff(rr) + rr_idx = pd.to_datetime(rr[1:], unit="ms", origin="unix") + + if artefacts is None: + outliers = np.zeros(len(ibi), dtype=bool) + else: + outliers = ( + artefacts["ectopic"] + | artefacts["short"] + | artefacts["long"] + | artefacts["extra"] + | artefacts["missed"] + ) + + points_source = ColumnDataSource( + data=dict( + time=rr_idx, + rr=ibi, + bpm=60000 / ibi, + nbeat=np.arange(1, len(rr_idx) + 1), + outliers=outliers, + ) + ) + + if line is True: + + # Instantaneous Heart Rate - Lines + linePlot = Line( + x="time", + y=unit, + line_color="#4c72b0", + ) + p1.add_glyph( + points_source, + linePlot, + ) + + if points is True: + + # Normal RR intervals + circlePlot = Circle( + x="time", + y=unit, + size=6, + fill_color="lightgrey", + line_color="grey", + ) + circlePlot_selected = Circle( + x="time", + y=unit, + size=6, + fill_color="firebrick", + line_color="grey", + ) + g1 = p1.add_glyph( + points_source, + circlePlot, + hover_glyph=circlePlot_selected, + ) + + hover = HoverTool( + renderers=[g1], + tooltips=[ + ("time", "@time{:%M:%S.%3Ns}"), + ("R-R interval", "@rr{%0.2f} ms"), + ("BPM", "@bpm{%0.2f} BPM"), + ("Heartbeat number", "@nbeat"), + ], + formatters={"@time": "datetime", "@rr": "printf", "@bpm": "printf"}, + mode="mouse", + ) + + if artefacts is not None: + + # Short RR intervals + if artefacts["short"].any(): + short_view = CDSView( + source=points_source, + filters=[IndexFilter(np.where(artefacts["short"])[0])], + ) + p1.circle( + x="time", + y=unit, + size=10, + legend_label="Short intervals", + fill_color="#c56c5e", + line_color="black", + source=points_source, + view=short_view, + ) + + # Long RR intervals + if artefacts["long"].any(): + long_view = CDSView( + source=points_source, + filters=[IndexFilter(np.where(artefacts["long"])[0])], + ) + p1.circle( + x="time", + y=unit, + size=10, + legend_label="Long intervals", + fill_color="#9ac1d4", + line_color="black", + source=points_source, + view=long_view, + ) + + # Missed RR intervals + if artefacts["missed"].any(): + missed_view = CDSView( + source=points_source, + filters=[IndexFilter(np.where(artefacts["missed"])[0])], + ) + p1.square( + x="time", + y=unit, + size=10, + legend_label="Missed intervals", + fill_color="#2f5f91", + line_color="black", + source=points_source, + view=missed_view, + ) + + # Extra RR intervals + if artefacts["extra"].any(): + extra_view = CDSView( + source=points_source, + filters=[IndexFilter(np.where(artefacts["extra"])[0])], + ) + p1.square( + x="time", + y=unit, + size=10, + legend_label="Extra intervals", + fill_color="#9d2b39", + line_color="black", + source=points_source, + view=extra_view, + ) + + # Ectopic beats + if artefacts["ectopic"].any(): + ectopic_view = CDSView( + source=points_source, + filters=[IndexFilter(np.where(artefacts["ectopic"])[0])], + ) + p1.triangle( + x="time", + y=unit, + size=10, + legend_label="Ectopic beats", + fill_color="#6c0073", + line_color="black", + source=points_source, + view=ectopic_view, + ) + + # Add hover tool + p1.add_tools(hover) + + # Show physiologically impossible ranges + if show_limits is True: + high, low = (3000, 200) if unit == "rr" else (300, 20) + upper_bound = BoxAnnotation(bottom=high, fill_alpha=0.1, fill_color="red") + p1.add_layout(upper_bound) + lower_bound = BoxAnnotation(top=low, fill_alpha=0.1, fill_color="red") + p1.add_layout(lower_bound) + + cols = (p1,) + + if slider is True: + select = figure( + title="Select the time window", + y_range=p1.y_range, + y_axis_type=None, + plot_height=int(figsize * 0.5), + x_axis_type="datetime", + tools="", + toolbar_location=None, + background_fill_color="#efefef", + ) + + if line is True: + select.line("time", unit, source=points_source) + p1.x_range = Range1d(start=rr_idx[0], end=rr_idx[-1]) + else: + select.circle("time", unit, source=points_source) + p1.x_range = Range1d(start=rr_idx[0], end=rr_idx[-1]) + range_tool = RangeTool(x_range=p1.x_range) + range_tool.overlay.fill_color = "navy" + range_tool.overlay.fill_alpha = 0.2 + + select.ygrid.grid_line_color = None + select.add_tools(range_tool) + select.toolbar.active_multi = range_tool + + cols += (select,) # type: ignore + + if len(cols) > 1: + return column(*cols, sizing_mode="stretch_width") + else: + return cols[0] diff --git a/systole/plots/backends/bokeh/plot_shortlong.py b/systole/plots/backends/bokeh/plot_shortlong.py new file mode 100644 index 00000000..3feb0294 --- /dev/null +++ b/systole/plots/backends/bokeh/plot_shortlong.py @@ -0,0 +1,128 @@ +# Author: Nicolas Legrand + +from typing import Dict + +import numpy as np +from bokeh.plotting import figure +from bokeh.plotting.figure import Figure + + +def plot_shortlong( + artefacts=Dict[str, np.ndarray], figsize: int = 600, **kwargs +) -> Figure: + """Plot interactive short/long subspace. + + Parameters + ---------- + artefacts : dict or None + The artefacts detected using + :py:func:`systole.detection.rr_artefacts()`. + figsize : int + Figure heights. Default is `600`. + + Returns + ------- + shorLong_plot : :class:`bokeh.plotting.figure.Figure` + The boken figure containing the plot. + + """ + xlim, ylim = 10, 10 + + outliers = ( + artefacts["ectopic"] + | artefacts["short"] + | artefacts["long"] + | artefacts["extra"] + | artefacts["missed"] + ) + + # All values fit in the x and y lims + for this_art in [artefacts["subspace1"], artefacts["subspace3"]]: + this_art[this_art > xlim] = xlim + this_art[this_art < -xlim] = -xlim + this_art[this_art > ylim] = ylim + this_art[this_art < -ylim] = -ylim + + shorLong_plot = figure( + title="Short and long intervals", + plot_height=figsize, + plot_width=figsize, + x_axis_label="Subspace 1", + y_axis_label="Subspace 3", + output_backend="webgl", + x_range=[-xlim, xlim], + y_range=[-ylim, ylim], + ) + + # Upper area + shorLong_plot.patch([-10, -10, -1, -1], [1, 10, 10, 1], alpha=0.2, color="grey") + + # Lower area + shorLong_plot.patch([1, 1, 10, 10], [-1, -10, -10, -1], alpha=0.2, color="grey") + + # Plot normal intervals + shorLong_plot.circle( + artefacts["subspace1"][~outliers], + artefacts["subspace3"][~outliers], + color="gray", + size=8, + alpha=0.2, + legend_label="Standard IBI", + ) + + # Plot ectopic beats + if artefacts["ectopic"].any(): + shorLong_plot.triangle( + artefacts["subspace1"][artefacts["ectopic"]], + artefacts["subspace3"][artefacts["ectopic"]], + size=8, + alpha=0.8, + legend_label="Ectopic beats", + color="#6c0073", + ) + + # Plot missed beats + if artefacts["missed"].any(): + shorLong_plot.square( + artefacts["subspace1"][artefacts["missed"]], + artefacts["subspace3"][artefacts["missed"]], + size=8, + alpha=0.8, + legend_label="Missed beats", + color="#2f5f91", + ) + + # Plot long beats + if artefacts["long"].any(): + shorLong_plot.circle( + artefacts["subspace1"][artefacts["long"]], + artefacts["subspace3"][artefacts["long"]], + size=8, + alpha=0.8, + legend_label="Long beats", + color="#9ac1d4", + ) + + # Plot extra beats + if artefacts["extra"].any(): + shorLong_plot.square( + artefacts["subspace1"][artefacts["extra"]], + artefacts["subspace3"][artefacts["extra"]], + size=8, + alpha=0.8, + legend_label="Extra beats", + color="#9d2b39", + ) + + # Plot short beats + if artefacts["short"].any(): + shorLong_plot.circle( + artefacts["subspace1"][artefacts["short"]], + artefacts["subspace3"][artefacts["short"]], + size=8, + alpha=0.8, + legend_label="Short beats", + color="#c56c5e", + ) + + return shorLong_plot diff --git a/systole/plots/backends/bokeh/plot_subspaces.py b/systole/plots/backends/bokeh/plot_subspaces.py new file mode 100644 index 00000000..c33d130e --- /dev/null +++ b/systole/plots/backends/bokeh/plot_subspaces.py @@ -0,0 +1,41 @@ +# Author: Nicolas Legrand + +from typing import Dict + +import numpy as np +from bokeh.layouts import row +from bokeh.models.layouts import Row + +from systole.plots import plot_ectopic, plot_shortlong + + +def plot_subspaces( + artefacts: Dict[str, np.ndarray], + figsize: int = 600, +) -> Row: + """Plot hrv subspace as described by Lipponen & Tarvainen (2019) [#]_. + + Parameters + ---------- + artefacts : dict or None + The artefacts detected using + :py:func:`systole.detection.rr_artefacts()`. + figsize : tuple, int or None + Figure size. Defaults to `600` when using bokeh backend. + + Returns + ------- + fig : :class:`bokeh.models.layout.Row` + The bokeh figure containing the two plots. + + """ + fig = row( + plot_ectopic( # type: ignore + artefacts=artefacts, figsize=figsize, input_type=None, backend="bokeh" + ), + plot_shortlong( # type: ignore + artefacts=artefacts, figsize=figsize, input_type=None, backend="bokeh" + ), + ) + + return fig diff --git a/systole/plots/backends/matplotlib/__init__.py b/systole/plots/backends/matplotlib/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/systole/plots/backends/matplotlib/plot_circular.py b/systole/plots/backends/matplotlib/plot_circular.py new file mode 100644 index 00000000..9b427cd9 --- /dev/null +++ b/systole/plots/backends/matplotlib/plot_circular.py @@ -0,0 +1,137 @@ +# Author: Nicolas Legrand + +from typing import List, Union + +import matplotlib.pyplot as plt +import numpy as np +from matplotlib.axes import Axes + + +def plot_circular( + data: List[Union[float, List[float], np.ndarray]], + palette: List[str], + labels: List[str], + ax: Axes, + units: str = "radians", + bins: int = 32, + density: str = "area", + norm: bool = True, + mean: bool = False, + offset: float = 0.0, + **kwargs +) -> Axes: + """Plot polar histogram. + + This function is an internal function used by py:func`systole.plots.plot_circular`. + + Parameters + ---------- + data : list + List of numpy arrays. + palette : list + Color palette. Default sets to Seaborn `"deep"`. + labels : list + The conditions labels. + units : str + Unit of the angular values provided. Can be `"degree"` or `"radian"`. + Default sets to `"radians"`. + bins : int + Number of slices in the circle. Use even value to have a bin edge at zero. + density : str + How to represent the density of the circular distribution. Can be one of the + following: + - `"area"`: use the area of the circular bins. + - `"height"`: use the height of the circular bins. + - `"alpha"`: change the transparency of the circular bins. + Default set to `"area"`. This method should be prefered over `"height"` as + increasing the height of the bars is increasin their visual importance (area) + non linearly. The `"area"` method can control for this bias. + norm : bool + If `True` (default), normalize the distribution between 0 and 1. + mean : bool + If `True`, show the mean and 95% CI. Default set to `False`. + offset : float + Where 0 will be placed on the circle, in radians. Default set to `0`. + ax : :class:`matplotlib.axes.Axes` + Where to draw the plot. Default is `None` (create a new figure). + + Returns + ------- + ax : :class:`matplotlib.axes.Axes` + The matplotlib axes containing the plot. + + """ + + # Loop across conditions + for angles, color, label in zip(data, palette, labels): + + angles = np.asarray(angles) + + # Bin data and count + count, bin = np.histogram(angles, bins=bins, range=(0, np.pi * 2)) + + # Compute width + widths = np.diff(bin)[0] + + if density == "area": # Default + # Area to assign each bin + area = count / angles.size + # Calculate corresponding bin radius + radius = (area / np.pi) ** 0.5 + alpha = (count * 0) + 1 + elif density == "height": # Using height (can be misleading) + radius = count / angles.size + alpha = (count * 0) + 1 + elif density == "alpha": # Using transparency + radius = (count * 0) + 1 + # Alpha level to each bin + alpha = count / angles.size + alpha = alpha / alpha.max() + else: + raise ValueError("Invalid method") + + if norm is True: + radius = radius / radius.max() + + # Plot data on ax + for b, r, a in zip(bin[:-1], radius, alpha): + ax.bar( + b, + r, + align="edge", + width=widths, + edgecolor="k", + linewidth=1, + color=color, + alpha=a, + ) + + # Plot mean and CI + if mean: + # Use pingouin.circ_mean() method + alpha = np.array(angles) + w = np.ones_like(alpha) + circ_mean = np.angle(np.multiply(w, np.exp(1j * alpha)).sum(axis=0)) + ax.plot(circ_mean, radius.max(), "ko") + + # Set the direction of the zero angle + ax.set_theta_offset(offset) + + # Remove ylabels + ax.set_yticks([]) + + if units == "radians": + circle_label = [ + "$0$", + r"$\pi/4$", + r"$\pi/2$", + r"$3\pi/4$", + r"$\pi$", + r"$5\pi/4$", + r"$3\pi/2$", + r"$7\pi/4$", + ] + ax.set_xticklabels(circle_label) + plt.tight_layout() + + return ax diff --git a/systole/plots/backends/matplotlib/plot_ectopic.py b/systole/plots/backends/matplotlib/plot_ectopic.py new file mode 100644 index 00000000..905da49d --- /dev/null +++ b/systole/plots/backends/matplotlib/plot_ectopic.py @@ -0,0 +1,151 @@ +# Author: Nicolas Legrand + +from typing import Dict, Optional + +import matplotlib.pyplot as plt +import numpy as np +from matplotlib.axes import Axes + + +def plot_ectopic( + artefacts=Dict[str, np.ndarray], + figsize: int = 600, + ax: Optional[Axes] = None, + **kwargs +) -> Axes: + """Plot ectopic subspace. + + Parameters + ---------- + artefacts : dict or None + The artefacts detected using + :py:func:`systole.detection.rr_artefacts()`. + figsize : int + Figure heights. Default is `600`. + ax : :class:`matplotlib.axes.Axes` or None + Where to draw the plot. Default is `None` (create a new figure). + + Returns + ------- + ax : :class:`matplotlib.axes.Axes` + The matplotlib axes containing the plot. + + """ + c1, c2, xlim, ylim = 0.13, 0.17, 10, 5 + + outliers = ( + artefacts["ectopic"] + | artefacts["short"] + | artefacts["long"] + | artefacts["extra"] + | artefacts["missed"] + ) + + # All values fit in the x and y lims + for this_art in [artefacts["subspace1"]]: + this_art[this_art > xlim] = xlim + this_art[this_art < -xlim] = -xlim + for this_art in [artefacts["subspace2"]]: + this_art[this_art > ylim] = ylim + this_art[this_art < -ylim] = -ylim + + if ax is None: + _, ax = plt.subplots(figsize=figsize) + + # Plot normal beats + ax.scatter( + artefacts["subspace1"][~outliers], + artefacts["subspace2"][~outliers], + color="gray", + edgecolors="k", + s=15, + alpha=0.2, + zorder=10, + label="Normal", + ) + + # Ectopic beats + if artefacts["ectopic"].any(): + ax.scatter( + artefacts["subspace1"][artefacts["ectopic"]], + artefacts["subspace2"][artefacts["ectopic"]], + color="r", + edgecolors="k", + zorder=10, + label="Ectopic", + ) + + # Short RR intervals + if artefacts["short"].any(): + ax.scatter( + artefacts["subspace1"][artefacts["short"]], + artefacts["subspace2"][artefacts["short"]], + color="b", + edgecolors="k", + zorder=10, + marker="s", + label="Short", + ) + + # Long RR intervals + if artefacts["long"].any(): + ax.scatter( + artefacts["subspace1"][artefacts["long"]], + artefacts["subspace2"][artefacts["long"]], + color="g", + edgecolors="k", + zorder=10, + marker="s", + label="Long", + ) + + # Missed RR intervals + if artefacts["missed"].any(): + ax.scatter( + artefacts["subspace1"][artefacts["missed"]], + artefacts["subspace2"][artefacts["missed"]], + color="g", + edgecolors="k", + zorder=10, + label="Missed", + ) + + # Extra RR intervals + if artefacts["extra"].any(): + ax.scatter( + artefacts["subspace1"][artefacts["extra"]], + artefacts["subspace2"][artefacts["extra"]], + color="b", + edgecolors="k", + zorder=10, + label="Extra", + ) + + # Upper area + def f1(x): + return -c1 * x + c2 + + ax.plot([-1, -10], [f1(-1), f1(-10)], "k", linewidth=1, linestyle="--") + ax.plot([-1, -1], [f1(-1), 10], "k", linewidth=1, linestyle="--") + x = [-10, -10, -1, -1] + y = [f1(-10), 10, 10, f1(-1)] + ax.fill(x, y, color="gray", alpha=0.3) + + # Lower area + def f2(x): + return -c1 * x - c2 + + ax.plot([1, 10], [f2(1), f2(10)], "k", linewidth=1, linestyle="--") + ax.plot([1, 1], [f2(1), -10], "k", linewidth=1, linestyle="--") + x = [1, 1, 10, 10] + y = [f2(1), -10, -10, f2(10)] + ax.fill(x, y, color="gray", alpha=0.3) + + ax.set_xlabel("Subspace $S_{11}$") + ax.set_ylabel("Subspace $S_{12}$") + ax.set_ylim(-ylim, ylim) + ax.set_xlim(-xlim, xlim) + ax.set_title("Subspace 1 \n (ectopic beats detection)") + ax.legend() + + return ax diff --git a/systole/plots/backends/matplotlib/plot_events.py b/systole/plots/backends/matplotlib/plot_events.py new file mode 100644 index 00000000..fef47b73 --- /dev/null +++ b/systole/plots/backends/matplotlib/plot_events.py @@ -0,0 +1,56 @@ +# Author: Nicolas Legrand + +from typing import Optional, Tuple + +import matplotlib.pyplot as plt +import pandas as pd +from matplotlib.axes import Axes + + +def plot_events( + df: pd.DataFrame, + figsize: Tuple[float, float] = (13, 5), + ax: Optional[Axes] = None, +) -> Axes: + """Plot events occurence across recording. + + Parameters + ---------- + df : pd.DataFrame + The events data frame (tmin, trigger, tmax, label, color, [behavior]). + figsize : tuple + Figure size. Default is `(13, 5)`. + ax : :class:`matplotlib.axes.Axes` or None + Where to draw the plot. Default is *None* (create a new figure). + + Returns + ------- + ax : :class:`matplotlib.axes.Axes` + The matplotlib axes containing the plot. + + """ + if ax is None: + _, ax = plt.subplots(figsize=(13, 5)) + + # Plot first label only + all_labels = [] + for i in range(len(df)): + if df.loc[i, "label"] in all_labels: + df.loc[i, "label"] = "" + else: + all_labels.append(df.loc[i, "label"]) + + # Loop across events df + for i, tmin, trigger, tmax, label, color in df.itertuples(): + + # Plot time range + ax.axvspan(xmin=tmin, xmax=tmax, color=color, alpha=0.2, label=label) + + # Plot trigger + ax.axvline(x=trigger, color="gray", linestyle="--", linewidth=1) + + # Add y ticks with channels names + ax.set_xlabel("Time") + ax.legend() + + return ax diff --git a/systole/plots/backends/matplotlib/plot_evoked.py b/systole/plots/backends/matplotlib/plot_evoked.py new file mode 100644 index 00000000..7dc66874 --- /dev/null +++ b/systole/plots/backends/matplotlib/plot_evoked.py @@ -0,0 +1,82 @@ +# Author: Nicolas Legrand + +from typing import Iterable, List, Tuple, Union + +import matplotlib.pyplot as plt +import numpy as np +import pandas as pd +import seaborn as sns +from matplotlib.axes import Axes + + +def plot_evoked( + epochs: List[np.ndarray], + time: np.ndarray, + palette: Iterable, + figsize: Tuple[float, float], + labels: str, + unit: str, + ax=None, + ci: Union[int, str] = "sd", + **kwargs +) -> Axes: + """Plot events occurence across recording. + + Parameters + ---------- + epochs : np.array + A 2d (trial * time) numpy array containing the time series + of the epoched signal. + time : float + Start and end time of the epochs in seconds, relative to the + time-locked event. Defaults to -1 and 10, respectively. + palette : int + The sampling frequency of the epoched data. + figsize : str + The lines color. + labels : str + The condition label. + unit : str + The heart rate unit. Can be `'rr'` (R-R intervals, in ms) or `'bpm'` (beats + per minutes). Default is `'bpm'`. + ax : tuple + Figure size. Default is `(13, 5)`. + ci : int | str + The confidence interval around the point estimates. Passed down to + py:`func:seaborn.lineplot()`. + kwargs: key, value mappings + Other keyword arguments are passed down to py:`func:seaborn.lineplot()`. + + Returns + ------- + ax : :class:`matplotlib.axes.Axes` + The matplotlib axes containing the plot. + """ + + if ax is None: + _, ax = plt.subplots(figsize=figsize) + + ax.axvline(x=0, linestyle="--", color="gray") + ax.axhline(y=0, color="black", linewidth=1) + + # Loop across condition + for ep, lab, col in zip(epochs, labels, palette): + + # Create a dataframe for seaborn + df = pd.DataFrame(ep.T) + df["Time"] = time + df = df.melt(id_vars=["Time"]) + + for i in range(ep.shape[0]): + ax.plot(time, ep[i], color=col, alpha=0.2, linewidth=1) + + sns.lineplot( + data=df, x="Time", y="value", label=lab, color=col, ax=ax, ci=ci, **kwargs + ) + + ax.set_xlabel("Time (s)") + ylabel = "R-R interval (ms)" if unit == "rr" else "Beats per minute (bpm)" + ax.set_ylabel(ylabel) + ax.minorticks_on() + + return ax diff --git a/systole/plots/backends/matplotlib/plot_frequency.py b/systole/plots/backends/matplotlib/plot_frequency.py new file mode 100644 index 00000000..e2527c8d --- /dev/null +++ b/systole/plots/backends/matplotlib/plot_frequency.py @@ -0,0 +1,71 @@ +# Author: Nicolas Legrand + +from typing import Dict, List, Optional, Tuple, Union + +import matplotlib.pyplot as plt +import numpy as np +from matplotlib.axes import Axes + + +def plot_frequency( + freq: np.ndarray, + power: np.ndarray, + figsize: Optional[Union[List[int], Tuple[int, int], int]] = None, + fbands: Optional[Dict[str, Tuple[str, Tuple[float, float], str]]] = None, + ax: Optional[Axes] = None, +) -> Axes: + """Plot the frequency component of the heart rate variability. + + Parameters + ---------- + freq : np.ndarray + Frequencies. + power : np.ndarray + Power spectral density. + figsize : list, tuple, int or None + Figure size. Default is `(8, 5)`. + fbands : None | dict, optional + Dictionary containing the names of the frequency bands of interest + (str), their range (tuples) and their color in the PSD plot. + Default is: + >>> {'vlf': ('Very low frequency', (0.003, 0.04), 'b'), + >>> 'lf': ('Low frequency', (0.04, 0.15), 'g'), + >>> 'hf': ('High frequency', (0.15, 0.4), 'r')} + ax : :class:`matplotlib.axes.Axes` or None + Where to draw the plot. Default is `None` (create a new figure). + + Returns + ------- + ax : :class:`matplotlib.axes.Axes` + The matplotlib axes containing the plot. + + """ + if figsize is None: + figsize = (8, 5) + elif isinstance(figsize, int): + figsize = (figsize, figsize) + else: + if len(figsize) == 1: + figsize = (figsize[0], figsize[0]) + + if fbands is None: + fbands = { + "vlf": ("Very low frequency", (0.003, 0.04), "#4c72b0"), + "lf": ("Low frequency", (0.04, 0.15), "#55a868"), + "hf": ("High frequency", (0.15, 0.4), "#c44e52"), + } + + # Plot the PSD + if ax is None: + fig, ax = plt.subplots(figsize=figsize) + ax.plot(freq, power, "k") + for f in ["vlf", "lf", "hf"]: + mask = (freq >= fbands[f][1][0]) & (freq <= fbands[f][1][1]) + ax.fill_between(freq, power, where=mask, color=fbands[f][2], alpha=0.2) + ax.axvline(x=fbands[f][1][0], linestyle="--", color="gray") + ax.set_xlim(0.003, 0.4) + ax.set_xlabel("Frequency [Hz]") + ax.set_ylabel("PSD [$s^2$/Hz]") + ax.set_title("Power Spectral Density", fontweight="bold") + + return ax diff --git a/systole/plots/backends/matplotlib/plot_pointcare.py b/systole/plots/backends/matplotlib/plot_pointcare.py new file mode 100644 index 00000000..95d198e0 --- /dev/null +++ b/systole/plots/backends/matplotlib/plot_pointcare.py @@ -0,0 +1,144 @@ +# Author: Nicolas Legrand + +from typing import List, Optional, Tuple, Union + +import matplotlib.pyplot as plt +import numpy as np +from matplotlib.axes import Axes +from matplotlib.patches import Ellipse + +from systole.hrv import nonlinear + + +def plot_pointcare( + rr: np.ndarray, + figsize: Optional[Union[List[int], Tuple[int, int], int]] = None, + ax: Optional[Axes] = None, +) -> Union[Tuple[np.ndarray, np.ndarray], Axes]: + """Pointcare plot. + + Parameters + ---------- + rr : np.ndarray + RR intervals (miliseconds). + figsize : list, tuple, int or None + Figure size. Default is `(8, 8)`. + ax : :class:`matplotlib.axes.Axes` or None + Where to draw the plot. Default is `None` (create a new figure). + + Returns + ------- + ax : :class:`matplotlib.axes.Axes` + The pointcare plot. + + """ + if figsize is None: + figsize = (8, 8) + elif isinstance(figsize, int): + figsize = (figsize, figsize) + else: + if len(figsize) == 1: + figsize = (figsize[0], figsize[0]) + + if ax is None: + _, ax = plt.subplots(figsize=figsize) + + if np.any(rr >= 3000) | np.any(rr <= 200): + + # Set outliers to reasonable values for plotting + rr[np.where(rr > 3000)[0]] = 3000 + rr[np.where(rr < 200)[0]] = 200 + + # Create x and y vectors + rr_x, rr_y = rr[:-1], rr[1:] + + # Find outliers idx + outliers = (rr_x == 3000) | (rr_x == 200) | (rr_y == 3000) | (rr_y == 200) + range_min, range_max = rr.min() - 50, rr.max() + 50 + + # Identity line + ax.plot( + [range_min, range_max], [range_min, range_max], color="grey", linestyle="--" + ) + + # Compute SD1 and SD2 metrics + df = nonlinear(rr) + sd1 = df[df["Metric"] == "SD1"]["Values"].values[0] + sd2 = df[df["Metric"] == "SD2"]["Values"].values[0] + + # Ellipse + ellipse_ = Ellipse( + (rr_x[~outliers].mean(), rr_y[~outliers].mean()), + sd1 * 2, + sd2 * 2, + angle=-45, + fc="grey", + zorder=1, + fill=False, + ) + ax.add_artist(ellipse_) + ellipse_ = Ellipse( + (rr_x[~outliers].mean(), rr_y[~outliers].mean()), + sd1 * 2, + sd2 * 2, + angle=-45, + fc="#4c72b0", + alpha=0.4, + zorder=1, + ) + ax.add_artist(ellipse_) + + # Scatter plot - valid intervals + ax.scatter( + rr_x[~outliers], + rr_y[~outliers], + s=5, + color="#4c72b0", + alpha=0.1, + edgecolors="grey", + ) + + # Scatter plot - outliers + ax.scatter( + rr_x[outliers], + rr_y[outliers], + s=5, + color="#a9373b", + alpha=0.8, + edgecolors="grey", + ) + + # SD1 arrow + ax.arrow( + rr_x[~outliers].mean(), + rr_y[~outliers].mean(), + -sd1 * np.cos(np.deg2rad(45)), + sd1 * np.sin(np.deg2rad(45)), + head_width=10, + head_length=10, + fc="b", + ec="b", + zorder=4, + linewidth=1.5, + ) + + # SD2 arrow + ax.arrow( + rr_x[~outliers].mean(), + rr_y[~outliers].mean(), + sd2 * np.cos(np.deg2rad(45)), + sd2 * np.sin(np.deg2rad(45)), + head_width=10, + head_length=10, + fc="b", + ec="g", + zorder=4, + linewidth=1.5, + ) + + ax.set_xlabel("RR (n)") + ax.set_ylabel("RR (n+1)") + ax.set_title("Pointcaré plot", fontweight="bold") + ax.minorticks_on() + + return ax diff --git a/systole/plots/backends/matplotlib/plot_raw.py b/systole/plots/backends/matplotlib/plot_raw.py new file mode 100644 index 00000000..6dbff23b --- /dev/null +++ b/systole/plots/backends/matplotlib/plot_raw.py @@ -0,0 +1,132 @@ +# Author: Nicolas Legrand + +from typing import List, Optional, Union + +import matplotlib.pyplot as plt +import numpy as np +from matplotlib.axes import Axes +from pandas.core.indexes.datetimes import DatetimeIndex + +from systole.plots import plot_rr + + +def plot_raw( + time: DatetimeIndex, + signal: np.ndarray, + peaks: np.ndarray, + modality: str = "ppg", + show_heart_rate: bool = True, + show_artefacts: bool = False, + ax: Optional[Union[List, Axes]] = None, + slider: bool = True, + figsize: int = 300, + **kwargs +) -> Axes: + """Visualization of PPG or ECG signal with systolic peaks/R wave detection. + + The instantaneous heart rate can be derived in a second row. + + Parameters + ---------- + time : :py:class:`pandas.core.indexes.datetimes.DatetimeIndex` + The time index. + signal : :py:class:`numpy.ndarray` + The physiological signal (1d numpy array). + peaks : :py:class:`numpy.ndarray` + The peaks or R wave detection (1d boolean array). + modality : str + The recording modality. Can be `"ppg"` or `"ecg"`. + show_heart_rate : bool + If `True`, create a second row and plot the instantanesou heart rate + derived from the physiological signal + (calls :py:func:`systole.plots.plot_rr` internally). Defaults to + `False`. + ax : :class:`matplotlib.axes.Axes` list or None + Where to draw the plot. Default is *None* (create a new figure). Only + applies when `backend="matplotlib"`. If `show_heart_rate is True`, a + list of axes can be provided to plot the signal and instantaneous heart + rate separately. + slider : bool + If `True`, add a slider to zoom in/out in the signal (only working with + bokeh backend). + figsize : int + Figure heights. Default is `300`. + **kwargs : keyword arguments + Additional arguments will be passed to + `:py:func:systole.detection.ppg_peaks()` or + `:py:func:systole.detection.ecg_peaks()`, depending on the type + of data. + + Returns + ------- + ax : :class:`matplotlib.axes.Axes` | tuple + The matplotlib axes containing the plot. + """ + + if modality == "ppg": + title = "PPG recording" + ylabel = "PPG level (a.u.)" + peaks_label = "Systolic peaks" + elif modality == "ecg": + title = "ECG recording" + ylabel = "ECG (mV)" + peaks_label = "R wave" + + ############# + # Upper panel + ############# + if ax is None: + if show_heart_rate is True: + _, axs = plt.subplots(ncols=1, nrows=2, figsize=figsize, sharex=True) + signal_ax, hr_ax = axs + else: + _, signal_ax = plt.subplots(ncols=1, nrows=1, figsize=figsize) + + elif isinstance(ax, list): + signal_ax, hr_ax = ax + else: + signal_ax = ax + + # Signal + signal_ax.plot(time, signal, label="PPG signal", linewidth=1, color="#c44e52") + + # Peaks + signal_ax.scatter( + x=time[peaks], + y=signal[peaks], + marker="o", + label=peaks_label, + s=30, + color="white", + edgecolors="DarkSlateGrey", + ) + if modality == "ppg": + signal_ax.set_title(title) + signal_ax.set_ylabel(ylabel) + elif modality == "ecg": + signal_ax.set_title(title) + signal_ax.set_ylabel(ylabel) + signal_ax.grid(True) + + ############# + # Lower panel + ############# + + if show_heart_rate is True: + + # Instantaneous Heart Rate - Peaks + plot_rr( + peaks, + input_type="peaks", + backend="matplotlib", + figsize=figsize, + show_artefacts=show_artefacts, + ax=hr_ax, + ) + + plt.tight_layout() + + return signal_ax, hr_ax + + else: + return signal_ax diff --git a/systole/plots/backends/matplotlib/plot_rr.py b/systole/plots/backends/matplotlib/plot_rr.py new file mode 100644 index 00000000..1933e0b5 --- /dev/null +++ b/systole/plots/backends/matplotlib/plot_rr.py @@ -0,0 +1,212 @@ +# Author: Nicolas Legrand + +from typing import Dict, Optional, Tuple + +import matplotlib.pyplot as plt +import numpy as np +import pandas as pd +from matplotlib.axes import Axes + +from systole.utils import heart_rate + + +def plot_rr( + rr: np.ndarray, + unit: str = "rr", + kind: str = "cubic", + line: bool = True, + points: bool = True, + artefacts: Optional[Dict[str, np.ndarray]] = None, + input_type: str = "peaks", + ax: Optional[Axes] = None, + show_limits: bool = True, + slider=None, + figsize: Tuple[float, float] = (13, 5), +) -> Axes: + """Plot continuous or discontinuous RR intervals time series. + + Parameters + ---------- + rr : np.ndarray + 1d numpy array of RR intervals (in seconds or miliseconds) or peaks vector + (boolean array). + unit : str + The heart rate unit in use. Can be `'rr'` (R-R intervals, in ms)or `'bpm'` + (beats per minutes). Default is `'rr'`. + kind : str + The method to use (parameter of `scipy.interpolate.interp1d`). The possible + relevant methods for instantaneous heart rate are `'cubic'` (defalut), + `'linear'`, `'previous'` and `'next'`. + line : bool + If `True`, plot the interpolated instantaneous heart rate. + points : bool + If `True`, plot each peaks (R wave or systolic peaks) as separated + points. + artefacts : dict + Dictionnary storing the parameters of RR artefacts rejection. + input_type : str + The type of input vector. Can be `"peaks"`, `"peaks_idx"`, `"rr_ms"`, or + `"rr_s"`. Default to `"peaks"`. + ax : :class:`matplotlib.axes.Axes` or None + Where to draw the plot. Default is *None* (create a new figure). + show_limits : bool + Use shaded areas to represent the range of physiologically impossible R-R + intervals. Defaults to `True`. + slider : bool + If `True`, add a slider to zoom in/out in the signal (only working with + bokeh backend). + figsize : tuple + Figure size. Default is `(13, 5)`. + + Returns + ------- + ax : :class:`matplotlib.axes.Axes` + The matplotlib axes containing the plot. + + """ + + ylabel = "R-R interval (ms)" if unit == "rr" else "Beats per minute (bpm)" + + if ax is None: + _, ax = plt.subplots(figsize=figsize) + + if line is True: + + # Extract instantaneous heart rate + hr, time = heart_rate(rr, unit=unit, kind=kind, input_type=input_type) + + # Convert to datetime format + time = pd.to_datetime(time, unit="s", origin="unix") + + # Instantaneous Heart Rate - Lines + ax.plot( + time, + hr, + label="Instantaneous heart rate", + linewidth=0.75, + color="#4c72b0", + alpha=0.4, + zorder=1, + ) + + if points is True: + + # Instantaneous Heart Rate - Peaks + if input_type == "rr_ms": + ibi = np.array(rr) + peaks_idx = pd.to_datetime(np.cumsum(ibi), unit="ms", origin="unix") + elif input_type == "rr_s": + ibi = np.array(rr) * 1000 + peaks_idx = pd.to_datetime(np.cumsum(ibi) * 1000, unit="ms", origin="unix") + elif input_type == "peaks": + ibi = np.diff(np.where(rr)[0]) + peaks_idx = pd.to_datetime(np.where(rr)[0][1:], unit="ms", origin="unix") + + if unit == "bpm": + ibi = 60000 / ibi + + if artefacts is None: + outliers = np.zeros(len(ibi), dtype=bool) + else: + outliers = ( + artefacts["ectopic"] + | artefacts["short"] + | artefacts["long"] + | artefacts["extra"] + | artefacts["missed"] + ) + + ax.scatter( + x=peaks_idx[~outliers], + y=ibi[~outliers], + marker="o", + label="R-R intervals", + s=20, + color="white", + edgecolors="DarkSlateGrey", + zorder=2, + ) + + if artefacts is not None: + + # Short RR intervals + if artefacts["short"].any(): + ax.scatter( + x=peaks_idx[artefacts["short"]], + y=ibi[artefacts["short"]], + s=20, + label="Short intervals", + color="#c56c5e", + edgecolors="black", + ) + + # Long RR intervals + if artefacts["long"].any(): + ax.scatter( + x=peaks_idx[artefacts["long"]], + y=ibi[artefacts["long"]], + s=20, + label="Long intervals", + color="#9ac1d4", + edgecolors="black", + ) + + # Missed RR intervals + if artefacts["missed"].any(): + ax.scatter( + x=peaks_idx[artefacts["missed"]], + y=ibi[artefacts["missed"]], + s=20, + marker="s", + label="Missed intervals", + color="#2f5f91", + edgecolors="black", + ) + + # Extra RR intervals + if artefacts["extra"].any(): + ax.scatter( + x=peaks_idx[artefacts["extra"]], + y=ibi[artefacts["extra"]], + s=20, + marker="s", + label="Extra intervals", + color="#9d2b39", + edgecolors="black", + ) + + # Ectopic beats + if artefacts["ectopic"].any(): + ax.scatter( + x=peaks_idx[artefacts["ectopic"]], + y=ibi[artefacts["ectopic"]], + s=20, + marker="^", + label="Ectopic beats", + color="#6c0073", + edgecolors="black", + ) + + # Show physiologically impossible ranges + if show_limits is True: + high, low = (3000, 200) if unit == "rr" else (300, 20) + if points is True: + if (ibi > high).any() | (ibi < low).any(): + ylim_low, ylim_high = ax.get_ylim() + ax.axhspan(ymin=ylim_low, ymax=low, color="r", alpha=0.1) + ax.axhspan(ymin=high, ymax=ylim_high, color="r", alpha=0.1) + ax.set_ylim(ylim_low, ylim_high) + else: + if (hr > high).any() | (hr < low).any(): + ylim_low, ylim_high = ax.get_ylim() + ax.axhspan(ymin=ylim_low, ymax=low, color="r", alpha=0.1) + ax.axhspan(ymin=high, ymax=ylim_high, color="r", alpha=0.1) + ax.set_ylim(ylim_low, ylim_high) + + ax.set_title("Instantaneous heart rate") + ax.set_xlabel("Time") + ax.set_ylabel(ylabel) + ax.grid(True) + ax.legend() + + return ax diff --git a/systole/plots/backends/matplotlib/plot_shortlong.py b/systole/plots/backends/matplotlib/plot_shortlong.py new file mode 100644 index 00000000..33ef7ad7 --- /dev/null +++ b/systole/plots/backends/matplotlib/plot_shortlong.py @@ -0,0 +1,145 @@ +# Author: Nicolas Legrand + +from typing import Dict, Optional + +import matplotlib.pyplot as plt +import numpy as np +from matplotlib.axes import Axes + + +def plot_shortlong( + artefacts=Dict[str, np.ndarray], + figsize: int = 600, + ax: Optional[Axes] = None, + **kwargs +) -> Axes: + """Plot ectopic subspace. + + Parameters + ---------- + artefacts : dict or None + The artefacts detected using + :py:func:`systole.detection.rr_artefacts()`. + figsize : int + Figure heights. Default is `600`. + ax : :class:`matplotlib.axes.Axes` or None + Where to draw the plot. Default is `None` (create a new figure). + + Returns + ------- + ax : :class:`matplotlib.axes.Axes` + The matplotlib axes containing the plot. + + """ + xlim, ylim = 10, 5 + + outliers = ( + artefacts["ectopic"] + | artefacts["short"] + | artefacts["long"] + | artefacts["extra"] + | artefacts["missed"] + ) + + # All values fit in the x and y lims + for this_art in [artefacts["subspace1"]]: + this_art[this_art > xlim] = xlim + this_art[this_art < -xlim] = -xlim + for this_art in [artefacts["subspace2"]]: + this_art[this_art > ylim] = ylim + this_art[this_art < -ylim] = -ylim + + if ax is None: + _, ax = plt.subplots(figsize=figsize) + + # Plot normal beats + ax.scatter( + artefacts["subspace1"][~outliers], + artefacts["subspace3"][~outliers], + color="gray", + edgecolors="k", + alpha=0.2, + zorder=10, + s=15, + label="Normal", + ) + + # Ectopic beats + if artefacts["ectopic"].any(): + ax.scatter( + artefacts["subspace1"][artefacts["ectopic"]], + artefacts["subspace3"][artefacts["ectopic"]], + color="r", + edgecolors="k", + zorder=10, + label="Ectopic", + ) + + # Short RR intervals + if artefacts["short"].any(): + ax.scatter( + artefacts["subspace1"][artefacts["short"]], + artefacts["subspace3"][artefacts["short"]], + color="b", + edgecolors="k", + zorder=10, + marker="s", + label="Short", + ) + + # Long RR intervals + if artefacts["long"].any(): + ax.scatter( + artefacts["subspace1"][artefacts["long"]], + artefacts["subspace3"][artefacts["long"]], + color="g", + edgecolors="k", + zorder=10, + marker="s", + label="Long", + ) + + # Missed RR intervals + if artefacts["missed"].any(): + ax.scatter( + artefacts["subspace1"][artefacts["missed"]], + artefacts["subspace3"][artefacts["missed"]], + color="g", + edgecolors="k", + zorder=10, + label="Missed", + ) + + # Extra RR intervals + if artefacts["extra"].any(): + ax.scatter( + artefacts["subspace1"][artefacts["extra"]], + artefacts["subspace3"][artefacts["extra"]], + color="b", + edgecolors="k", + zorder=10, + label="Extra", + ) + + # Upper area + ax.plot([-1, -10], [1, 1], "k", linewidth=1, linestyle="--") + ax.plot([-1, -1], [1, 10], "k", linewidth=1, linestyle="--") + x = [-10, -10, -1, -1] + y = [1, 10, 10, 1] + ax.fill(x, y, color="gray", alpha=0.3) + + # Lower area + ax.plot([1, 10], [-1, -1], "k", linewidth=1, linestyle="--") + ax.plot([1, 1], [-1, -10], "k", linewidth=1, linestyle="--") + x = [1, 1, 10, 10] + y = [-1, -10, -10, -1] + ax.fill(x, y, color="gray", alpha=0.3) + + ax.set_xlabel("Subspace $S_{21}$") + ax.set_ylabel("Subspace $S_{22}$") + ax.set_ylim(-ylim * 2, ylim * 2) + ax.set_xlim(-xlim, xlim) + ax.set_title("Subspace 2 \n (long and short beats detection)") + ax.legend() + + return ax diff --git a/systole/plots/backends/matplotlib/plot_subspaces.py b/systole/plots/backends/matplotlib/plot_subspaces.py new file mode 100644 index 00000000..c0fd091c --- /dev/null +++ b/systole/plots/backends/matplotlib/plot_subspaces.py @@ -0,0 +1,38 @@ +# Author: Nicolas Legrand + +from typing import Dict, Tuple + +import numpy as np +from matplotlib.axes import Axes + +from systole.plots import plot_ectopic, plot_shortlong + + +def plot_subspaces( + artefacts: Dict[str, np.ndarray], + figsize: Tuple[int, int] = (10, 5), +) -> Tuple[Axes, Axes]: + """Plot hrv subspace as described by Lipponen & Tarvainen (2019). + + Parameters + ---------- + artefacts : dict or None + The artefacts detected using + :py:func:`systole.detection.rr_artefacts()`. + figsize : tuple, int or None + Figure size. Defaults to `(10, 5)` when using matplotlib backend. + + Returns + ------- + axs : tuple of :class:`matplotlib.axes.Axes` + The matplotlib axes containing the plot. + + """ + ectopic = plot_ectopic( # type: ignore + artefacts=artefacts, figsize=figsize, input_type=None, backend="matplotlib" + ) + shortLong = plot_shortlong( # type: ignore + artefacts=artefacts, figsize=figsize, input_type=None, backend="matplotlib" + ) + + return ectopic, shortLong diff --git a/systole/plots/plot_circular.py b/systole/plots/plot_circular.py new file mode 100644 index 00000000..b7180645 --- /dev/null +++ b/systole/plots/plot_circular.py @@ -0,0 +1,184 @@ +# Author: Nicolas Legrand + +import itertools +from typing import List, Optional, Tuple, Union + +import matplotlib.pyplot as plt +import numpy as np +import pandas as pd +import seaborn as sns +from matplotlib.axes import Axes + +from systole.plots.utils import get_plotting_function + + +def plot_circular( + data: Union[pd.DataFrame, List, np.ndarray], + y: Optional[str] = None, + hue: Optional[str] = None, + labels: Optional[List[str]] = None, + units: str = "radians", + bins: int = 32, + density: str = "area", + norm: bool = True, + mean: bool = False, + offset: float = 0.0, + palette: Optional[List[str]] = None, + backend: str = "matplotlib", + figsize: Optional[Union[int, List[int], Tuple[int, int]]] = None, + ax: Optional[Axes] = None, +) -> Axes: + """Plot polar histogram. + + Parameters + ---------- + data : :py:class:`pandas.DataFrame` | np.ndarray | list + The angular data in radians or degrees (see `units`). If a + :py:class:`pandas.DataFrame` is provided, the values are in the `y` column and + the colors in the `hue` column. If a list is provided, it should contain + arrays or list of angular values. Otherwise a list or numpy array should be + provided (just one condition). + y : str | None + If data is a :py:class:`pandas.DataFrame` instance, `y` should be the column + containing the angular values. + hue : str | None + Columns in data encoding the different conditions. + labels : list | none + The conditions labels. + units : str + Unit of the angular values provided. Can be `"degree"` or `"radian"`. + Default sets to `"radians"`. + bins : int + Number of slices in the circle. Use even value to have a bin edge at zero. + density : str + How to represent the density of the circular distribution. Can be one of the + following: + - `"area"`: use the area of the circular bins. + - `"height"`: use the height of the circular bins. + - `"alpha"`: change the transparency of the circular bins. + Default set to `"area"`. This method should be prefered over `"height"` as + increasing the height of the bars is increasin their visual importance (area) + non linearly. The `"area"` method can control for this bias. + norm : bool + If `True` (default), normalize the distribution between 0 and 1. + mean : bool + If `True`, show the mean and 95% CI. Default set to `False`. + offset : float + Where 0 will be placed on the circle, in radians. Default set to `0`. + palette : list | None + Color palette. Default sets to Seaborn `"deep"`. + backend: str + Select plotting backend. Currently, only `"matplotlib"` is supported. + figsize : tuple + Figure size. Default is `(13, 5)`. + ax : :class:`matplotlib.axes.Axes` | None + Where to draw the plot. Default is `None` (create a new figure). + + Returns + ------- + ax : :class:`matplotlib.axes.Axes` + The matplotlib axes containing the plot. + + Notes + ----- + The density function can be represented using the area of the bars, the + height or the transparency (alpha). The default behaviour will use the + area. Using the heigth can visually biase the importance of the largest + values. Adapted from [#]_. + + The circular mean was adapted from Pingouin's implementation [#]_. + + Examples + -------- + + Using a numpy array of angular values as input. + + .. plot:: + + import numpy as np + from systole.plots import plot_circular + x = np.random.normal(np.pi, 0.5, 100) + plot_circular(data=x) + + Using a DataFrame as input. + + .. plot:: + + import numpy as np + import pandas as pd + from systole.plots import plot_circular + + # Create angular values (two conditions) + x = np.random.normal(np.pi, 0.5, 100) + y = np.random.uniform(0, np.pi*2, 100) + data = pd.DataFrame(data={'x': x, 'y': y}).melt() + + plot_circular(data=data, y='value', hue='variable') + + References + ---------- + .. [#] https://jwalton.info/Matplotlib-rose-plots/ + + .. [#] https://pingouin-stats.org/_modules/pingouin/circular.html#circ_mean + + """ + + # Define color palette + if palette is None: + this_palette = itertools.cycle(sns.color_palette("deep")) + elif isinstance(palette, list): + this_palette = itertools.cycle(palette) + else: + raise ValueError("Invalid palette provided.") + + # Create axis + if ax is None: + ax = plt.subplot(111, polar=True) + + # Define figure size + if figsize is None: + if backend == "matplotlib": + figsize = (5, 5) + + # Create list of angular values and labels + # depending on the number of conditions + if isinstance(data, np.ndarray): + data = [data] + if labels is None: + labels = ["Condition 1"] + elif isinstance(data, pd.DataFrame): + assert data.shape[0] > 0, "Data must have at least 1 row." + if hue is None: + data = [data[y].values] + if labels is None: + labels = ["Condition 1"] + elif isinstance(hue, str): + new_data = [] + for cond in data[hue].unique(): + new_data.append(data[data[hue] == cond][y].values) + if labels is None: + labels = data[hue].unique() + data = new_data + elif isinstance(data, list): + labels = [] + for i in range(len(data)): + labels.append(f"Condition - {i}") + + plot_circular_args = { + "data": data, + "palette": this_palette, + "labels": labels, + "units": units, + "bins": bins, + "density": density, + "norm": norm, + "mean": mean, + "offset": offset, + "figsize": figsize, + "ax": ax, + } + + plotting_function = get_plotting_function("plot_circular", "plot_circular", backend) + plot = plotting_function(**plot_circular_args) + + return plot diff --git a/systole/plots/plot_ectopic.py b/systole/plots/plot_ectopic.py new file mode 100644 index 00000000..6c5c6ed5 --- /dev/null +++ b/systole/plots/plot_ectopic.py @@ -0,0 +1,162 @@ +# Author: Nicolas Legrand + +from typing import Dict, List, Optional, Tuple, Union, overload + +import numpy as np +from bokeh.plotting.figure import Figure +from matplotlib.axes import Axes + +from systole.correction import rr_artefacts +from systole.plots.utils import get_plotting_function +from systole.utils import input_conversion + + +@overload +def plot_ectopic( + rr: None, + artefacts: Dict[str, np.ndarray], + input_type: str = "rr_ms", +) -> Union[Figure, Axes]: + ... + + +@overload +def plot_ectopic( + rr: Union[List[float], np.ndarray], + artefacts: None, + input_type: str = "rr_ms", +) -> Union[Figure, Axes]: + ... + + +@overload +def plot_ectopic( + rr: Union[List[float], np.ndarray], + artefacts: Dict[str, np.ndarray], + input_type: str = "rr_ms", +) -> Union[Figure, Axes]: + ... + + +def plot_ectopic( + rr=None, + artefacts=None, + input_type: str = "rr_ms", + ax: Optional[Axes] = None, + backend: str = "matplotlib", + figsize: Union[Tuple[float, float], int] = None, +) -> Union[Figure, Axes]: + """Visualization of ectopic beats detection. + + The artefact detection is based on the method described in [1]_. + + Parameters + ---------- + rr : np.ndarray | None + Interval time-series (R-R, beat-to-beat...), in miliseconds. + artefacts : dict or None + The artefacts detected using + :py:func:`systole.detection.rr_artefacts()`. + input_type : str + The type of input vector. Default is `"rr_ms"` for vectors of + RR intervals, or interbeat intervals (IBI), expressed in milliseconds. + Can also be `"peaks"` (a boolean vector where `1` represents the + occurrence of R waves or systolic peaks) or `"rr_s"` for IBI expressed + in seconds. + ax : :class:`matplotlib.axes.Axes` | None + Where to draw the plot. Default is *None* (create a new figure). Only + applies when `backend="matplotlib"`. + backend: str + Select plotting backend (`"matplotlib"` or `"bokeh"`. Defaults to + `"matplotlib"`. + figsize : tuple | int | None + Figure size. Default is `(13, 5)` for Matplotlib backend, and the + height is `600` when using Bokeh backend. + + Returns + ------- + plot : :class:`matplotlib.axes.Axes` or :class:`bokeh.plotting.figure.Figure` + The matplotlib axes, or the boken figure containing the plot. + + See also + -------- + plot_shortlong, plot_subspaces + + References + ---------- + .. [1] Lipponen, J. A., & Tarvainen, M. P. (2019). A robust algorithm for heart + rate variability time series artefact correction using novel beat classification. + Journal of Medical Engineering & Technology, 43(3), 173–181. https://doi.org/10.1080/03091902.2019.1640306 + + Notes + ----- + If both `rr` and `artefacts` are provided, the function will drop `artefacts` + and re-evaluate given the current RR time-series. + + Examples + -------- + + Visualizing ectopic subspace from RR time series. + + .. jupyter-execute:: + + from systole import import_rr + from systole.plots import plot_ectopic + + # Import PPG recording as numpy array + rr = import_rr().rr.to_numpy() + + plot_ectopic(rr, input_type="rr_ms") + + Visualizing ectopic subspace from the `artefact` dictionary. + + .. jupyter-execute:: + + from systole.detection import rr_artefacts + + # Use the rr_artefacts function to find ectopic beats + artefacts = rr_artefacts(rr) + + plot_ectopic(artefacts=artefacts) + + Using the Bokeh backend. + + .. jupyter-execute:: + + from bokeh.io import output_notebook + from bokeh.plotting import show + from systole.detection import rr_artefacts + output_notebook() + + # Use the rr_artefacts function to find ectopic beats + artefacts = rr_artefacts(rr) + show( + plot_ectopic(artefacts=artefacts, backend="bokeh") + ) + + """ + + if figsize is None: + if backend == "matplotlib": + figsize = (6, 6) + elif backend == "bokeh": + figsize = 600 + + if artefacts is None: + if rr is None: + raise ValueError("rr or artefacts should be provided") + else: + if input_type != "rr_ms": + rr = input_conversion(rr, input_type=input_type, output_type="rr_ms") + artefacts = rr_artefacts(rr) + + plot_ectopic_args = { + "artefacts": artefacts, + "ax": ax, + "figsize": figsize, + } + + plotting_function = get_plotting_function("plot_ectopic", "plot_ectopic", backend) + plot = plotting_function(**plot_ectopic_args) + + return plot diff --git a/systole/plots/plot_events.py b/systole/plots/plot_events.py new file mode 100644 index 00000000..caa83821 --- /dev/null +++ b/systole/plots/plot_events.py @@ -0,0 +1,211 @@ +# Author: Nicolas Legrand + +import itertools +from typing import Dict, List, Optional, Tuple, Union + +import numpy as np +import pandas as pd +import seaborn as sns +from matplotlib.axes import Axes + +from systole.plots.utils import get_plotting_function + + +def plot_events( + triggers: Optional[Union[List, np.ndarray]] = None, + triggers_idx: Optional[Union[List, np.ndarray]] = None, + events_labels: Optional[Union[Dict[str, str], List, str]] = None, + tmin: float = -1.0, + tmax: float = 10.0, + sfreq: int = 1000, + behavior: Optional[Union[List, pd.DataFrame]] = None, + figsize: Optional[Union[int, List[int], Tuple[int, int]]] = None, + ax: Optional[Axes] = None, + backend: str = "matplotlib", + palette: Optional[List[str]] = None, +) -> Axes: + """Plot events occurence across recording. + + Parameters + ---------- + triggers : list | np.ndarray + The events triggers. `0` indicates no events, `1` indicates the triger + for one event. Different conditions should be provided separately as list + of arrays. + triggers_idx : list | np.ndarray + Trigger indexes. Each value encode the sample where an event occured (see + also `sfreq`). Different conditions should be provided separately as list of + arrays (can have different lenght). + events_labels : dict + The events label. The key of the dictionary is the condition number (from 1 to + n, as `str`), the value is the label (`str`). Default set to + `{"1": "Event - 1"}` if one condition is provided, and generalize up to n + conditions `{"n": "Event - n"}`. + tmin, tmax : float + Start and end time of the epochs in seconds, relative to the time-locked event. + Defaults to -1.0 and 10.0, respectively. + sfreq : int + Signal sampling frequency. Default is set to 1000 Hz. + behavior : list | py:class:`pandas.DataFrame` + Additional information about trials that should appear when hovering on the + trial (`bokeh` version only). A py:class:`pd.DataFrame` instance with length = + n trials, or a list of py:class:`pd.DataFrame` (for multiple conditions) should + be provided. + figsize : tuple + Figure size. Default is `(13, 5)`. + ax : :class:`matplotlib.axes.Axes` | :class:`bokeh.plotting.figure.Figure` | None + Where to draw the plot. Default is `None` (create a new figure). + backend: str + Select plotting backend (`"matplotlib"`, `"bokeh"`). Defaults to + `"matplotlib"`. + palette : list | None + Color palette. Default sets to Seaborn `"deep"`. + + .. warning:: The `behavior` parameter will be implemented in a future release. + + Returns + ------- + plot : :class:`matplotlib.axes.Axes` | :class:`bokeh.plotting.figure.Figure` + The matplotlib axes, or the boken figure containing the plot. + + See also + -------- + plot_rr, plot_raw + + Examples + -------- + + Plot events distributions using the Matplotlib backend. + + .. jupyter-execute:: + + import numpy as np + import seaborn as sns + from systole.plots import plot_events + from systole import import_dataset1 + + ecg_df = import_dataset1(modalities=['ECG', "Stim"]) + + # Get events triggers + triggers_idx = [ + np.where(ecg_df.stim.to_numpy() == 2)[0], + np.where(ecg_df.stim.to_numpy() == 1)[0] + ] + + plot_events( + triggers_idx=triggers_idx, events_labels=["Disgust", "Neutral"], + tmin=-0.5, tmax=10.0, figsize=(13, 3), + palette=[sns.xkcd_rgb["denim blue"], sns.xkcd_rgb["pale red"]], + ) + + Plot events distributions using the Bokeh backend and add RR time series. + + .. jupyter-execute:: + + from systole.detection import ecg_peaks + from systole.plots import plot_rr + from bokeh.io import output_notebook + from bokeh.plotting import show + output_notebook() + + # Peak detection in the ECG signal using the Pan-Tompkins method + signal, peaks = ecg_peaks(ecg_df.ecg, method='pan-tompkins', sfreq=1000) + + # First, we create a RR interval plot + rr_plot = plot_rr(peaks, input_type='peaks', backend='bokeh', figsize=250) + + show( + # Then we add events annotations to this plot using the plot_events function + plot_events(triggers_idx=triggers_idx, backend="bokeh", events_labels=["Disgust", "Neutral"], + tmin=-0.5, tmax=10.0, palette=[sns.xkcd_rgb["denim blue"], sns.xkcd_rgb["pale red"]], + ax=rr_plot.children[0]) + ) + + """ + # Define color palette + if palette is None: + this_palette = itertools.cycle(sns.color_palette("deep", as_cmap=True)) + elif isinstance(palette, list): + this_palette = itertools.cycle(palette) + else: + raise ValueError("Invalid palette provided.") + + # Define figure size + if figsize is None: + if backend == "matplotlib": + figsize = (13, 5) + elif backend == "bokeh": + figsize = 300 + + # Create a list of triggers indexs with length n = number of conditions + if triggers_idx is None: + if triggers is None: + raise ValueError("No triggers provided") + else: + if isinstance(triggers, np.ndarray): + triggers = [triggers] + triggers_idx = [] + for this_triggers in triggers: + triggers_idx.append(np.where(this_triggers)[0]) + + # Create the event dictionnary if not already provided + if events_labels is None: + events_labels = {} + for i in range(len(triggers_idx)): + events_labels[f"{i+1}"] = f"Event - {i+1}" + elif isinstance(events_labels, str): + event_str = events_labels + events_labels = {} + events_labels["1"] = event_str + elif isinstance(events_labels, list): + event_list = events_labels + events_labels = {} + for i, lab in enumerate(event_list): + events_labels[f"{i+1}"] = lab + else: + raise ValueError("Invalid event label provided.") + + # Creating the events info df + # DataFrame : (tmin, trigger, tmax, label, color, df) + df = pd.DataFrame([]) + + # Loop across conditions + for i, this_trigger_idx in enumerate(triggers_idx): + + # Event color + col = next(this_palette) + + # Loop across triggers + for event in this_trigger_idx: + this_tmin = (event / sfreq) + tmin + this_trigger = event / sfreq + this_tmax = (event / sfreq) + tmax + df = df.append( + pd.DataFrame( + { + "tmin": this_tmin, + "trigger": this_trigger, + "tmax": this_tmax, + "label": events_labels[str(i + 1)], + "color": [col], + } + ), + ignore_index=True, + ) + + # Add behaviors results when provided + + df["tmin"] = pd.to_datetime(df["tmin"], unit="s", origin="unix") + df["trigger"] = pd.to_datetime(df["trigger"], unit="s", origin="unix") + df["tmax"] = pd.to_datetime(df["tmax"], unit="s", origin="unix") + + plot_raw_args = { + "df": df, + "figsize": figsize, + "ax": ax, + } + + plotting_function = get_plotting_function("plot_events", "plot_events", backend) + plot = plotting_function(**plot_raw_args) + + return plot diff --git a/systole/plots/plot_evoked.py b/systole/plots/plot_evoked.py new file mode 100644 index 00000000..90281b07 --- /dev/null +++ b/systole/plots/plot_evoked.py @@ -0,0 +1,233 @@ +# Author: Nicolas Legrand + +import itertools +from typing import List, Optional, Tuple, Union + +import numpy as np +import seaborn as sns +from bokeh.plotting.figure import Figure +from matplotlib.axes import Axes + +from systole.detection import ecg_peaks, ppg_peaks +from systole.plots.utils import get_plotting_function +from systole.utils import heart_rate, to_epochs + + +def plot_evoked( + epochs: Optional[np.ndarray] = None, + signal: Optional[np.ndarray] = None, + triggers: Optional[np.ndarray] = None, + triggers_idx: Optional[np.ndarray] = None, + rr: Optional[np.ndarray] = None, + input_type: str = "peaks", + reject: Optional[np.ndarray] = None, + modality: str = "ppg", + tmin: float = -1.0, + tmax: float = 10.0, + sfreq: int = 1000, + apply_baseline: Optional[Union[float, Tuple[float, float]]] = 0.0, + decim: Optional[int] = None, + labels: Optional[Union[str, List[str]]] = None, + unit: str = "bpm", + kind: str = "cubic", + ci: Union[int, str] = "sd", + ax: Optional[Axes] = None, + figsize: Optional[Tuple[float, float]] = None, + backend: str = "matplotlib", + palette: Optional[List[str]] = None, + **kwargs, +) -> Union[Figure, Axes]: + """Plot evoked heart rate across trials. + + Parameters + ---------- + epochs : np.ndarray + A 2d (trial * time) numpy array containing the time series of the epoched + signal. + signal : np.ndarray + A 1d numpy array containing the physiological signal (can be PPG or + ECG). The modality of the signal is parametrized using the `modality` + parameter. + triggers : np.ndarray | list + The boolean indices of the events, shape=(times*sfreq, 1). + triggers_idx : np.ndarray or list + Trigger indexes. Each value encode the sample where an event occured (see + also `sfreq`). Different conditions should be provided separately as list of + arrays (can have different lenght). + rr : np.ndarray | list + Boolean vector of peaks detection or peaks indexs. See `input_type`. + input_type : str + The type of input vector. Can be `"peaks"`, `"peaks_idx"`, `"rr_ms"`, + or `"rr_s"`. Default to `"peaks"`. + reject : np.ndarray | None + Segments of the signal that should be rejected. + modality : str + The recording modality (can be `"ppg"` or `"ecg"`). Only required when using + `signal`. The modality will determine the peaks detection method. + tmin, tmax : float + Start and end time of the epochs in seconds, relative to the + time-locked event. Defaults to -1.0 and 10.0, respectively. + sfreq : int + The sampling frequency of the input signal and triggers. Default set to `1000`. + apply_baseline : float | tuple | None + If int or tuple, use the point or interval to apply a baseline + (method: mean). If `None`, no baseline is applied. Default is set to `0`. + decim : int | None + Factor by which to subsample the data. Selects every Nth sample (where N is the + value passed to decim). Default set to `None` (no decim). + labels : str | list + The condition labels. + unit : str + The heart rate unit. Can be `'rr'` (R-R intervals, in ms) or `'bpm'` (beats + per minutes). Default is `'bpm'`. + kind : str + This argument will be passed too py:func:`systole.utils.heart_rate` and control + the type of interpolation between instantaneous heart rate estimates. + This is then the method used by `scipy.interpolate.interp1d`). Can be `'cubic'` + (defalut), `'linear'`, `'previous'` or `'next'`. + ci : int | str + The confidence interval around the mean estimate. If `backend="matplotlib"`, + this value will be passed to py:func:`seaborn.lineplot`. If `backend="bokeh"`, + only `"sd"` (standard deviation) is currently supported. Default set to `"sd"`. + ax : :class:`matplotlib.axes.Axes` | None + Where to draw the plot. Default is *None* (create a new figure). + figsize : tuple, int or None + Figure size. Default is set to `(13, 5)` if `backend=="matplotlib"` and + `(400, 400)` if `backend=="bokeh"`. + backend: str + Select plotting backend (`"matplotlib"`, `"bokeh"`). Default sets to + `"matplotlib"`. + palette : list | None + Color palette. Default sets to Seaborn `"deep"`. + kwargs: key, value mappings + Other keyword arguments are passed down to py:`func:seaborn.lineplot()`. + + Returns + ------- + plot : :class:`matplotlib.axes.Axes` or :class:`bokeh.plotting.figure.Figure` + The matplotlib axes, or the boken figure containing the plot. + + See also + -------- + plot_events + + Examples + -------- + + Plot evoked heart rate across two conditions using the Matplotlib backend. + + .. jupyter-execute:: + + import numpy as np + import seaborn as sns + from systole.detection import ecg_peaks + from systole.plots import plot_evoked + from systole import import_dataset1 + + ecg_df = import_dataset1(modalities=['ECG', "Stim"]) + + # Get events triggers + triggers_idx = [ + np.where(ecg_df.stim.to_numpy() == 2)[0], + np.where(ecg_df.stim.to_numpy() == 1)[0] + ] + + # Peak detection in the ECG signal using the Pan-Tompkins method + signal, peaks = ecg_peaks(ecg_df.ecg, method='pan-tompkins', sfreq=1000) + + plot_evoked( + rr=peaks, triggers_idx=triggers_idx, input_type="peaks", + palette=[sns.xkcd_rgb["pale red"], sns.xkcd_rgb["denim blue"]], + apply_baseline=(-1.0, 0.0), decim=100, figsize=(400, 400) + ) + + Plot evoked heart rate across two conditions using the Bokeh backend. + + .. jupyter-execute:: + + from bokeh.io import output_notebook + from bokeh.plotting import show + output_notebook() + + show( + plot_evoked( + rr=peaks, triggers_idx=triggers_idx, input_type="peaks", backend="bokeh", + palette=[sns.xkcd_rgb["pale red"], sns.xkcd_rgb["denim blue"]], + apply_baseline=(-1.0, 0.0), decim=100, figsize=(400, 400)) + ) + + """ + # Define color palette + if palette is None: + this_palette = itertools.cycle(sns.color_palette("deep", as_cmap=True)) + elif isinstance(palette, list): + this_palette = itertools.cycle(palette) + else: + raise ValueError("Invalid palette provided.") + + # Define figure size + if figsize is None: + if backend == "matplotlib": + figsize = (13, 5) + elif backend == "bokeh": + figsize = (400, 400) + + # Extract instantaneous heart rate + if isinstance(signal, np.ndarray): + if modality == "ppg": + _, peaks = ppg_peaks(signal, sfreq=sfreq) + elif modality == "ecg": + _, peaks = ecg_peaks(signal, sfreq=sfreq) + rr, _ = heart_rate(peaks, kind=kind, unit=unit, input_type="peaks") + + if isinstance(rr, np.ndarray): + rr, _ = heart_rate(rr, kind=kind, unit=unit, input_type=input_type, sfreq=sfreq) + + # Epoching + if epochs is None: + epochs, _ = to_epochs( + signal=rr, + triggers=triggers, + triggers_idx=triggers_idx, + reject=reject, + sfreq=sfreq, + apply_baseline=apply_baseline, + tmin=tmin, + tmax=tmax, + ) + if isinstance(epochs, np.ndarray): + epochs = [epochs] + + # Define labels + if labels is None: + labels = [] + for i in range(len(epochs)): + labels.append(f"Condition {i+1}") + elif isinstance(labels, str): + labels = [labels] + + # Define time vector according to times range and sampling frequency + time = np.arange( + round(tmin * sfreq) / sfreq, round(tmax * sfreq) / sfreq, 1 / sfreq + ) + + if decim is not None: + for i in range(len(epochs)): + epochs[i] = epochs[i][:, ::decim] + time = time[::decim] + + plot_evoked_args = { + "epochs": epochs, + "time": time, + "palette": this_palette, + "ax": ax, + "figsize": figsize, + "labels": labels, + "unit": unit, + "ci": ci, + } + + plotting_function = get_plotting_function("plot_evoked", "plot_evoked", backend) + plot = plotting_function(**plot_evoked_args) + + return plot diff --git a/systole/plots/plot_frequency.py b/systole/plots/plot_frequency.py new file mode 100644 index 00000000..d5716308 --- /dev/null +++ b/systole/plots/plot_frequency.py @@ -0,0 +1,122 @@ +# Author: Nicolas Legrand + +from typing import Dict, List, Optional, Tuple, Union + +import numpy as np +from bokeh.plotting.figure import Figure +from matplotlib.axes import Axes +from scipy.interpolate import interp1d + +from systole.hrv import psd +from systole.plots.utils import get_plotting_function +from systole.utils import input_conversion + + +def plot_frequency( + rr: Union[np.ndarray, list], + input_type: str = "peaks", + fbands: Optional[Dict[str, Tuple[str, Tuple[float, float], str]]] = None, + figsize: Optional[Union[List[int], Tuple[int, int], int]] = None, + backend: str = "matplotlib", + ax: Optional[Axes] = None, + **kwargs +) -> Union[Figure, Axes]: + """Plot power spectral densty of RR time series. + + Parameters + ---------- + rr : np.ndarray | list + Boolean vector of peaks detection or RR intervals. + input_type : str + The type of input vector. Default is `"peaks"` (a boolean vector where + `1` represents the occurrence of R waves or systolic peaks). Can also be + `"rr_s"` or `"rr_ms"` for vectors of RR intervals, or interbeat intervals + (IBI), expressed in seconds or milliseconds (respectively). + fbands : None | dict | optional + Dictionary containing the names of the frequency bands of interest (str), their + range (tuples) and their color in the PSD plot. + Default is: + + .. python:: + + {'vlf': ('Very low frequency', (0.003, 0.04), 'b'), + 'lf': ('Low frequency', (0.04, 0.15), 'g'), + 'hf': ('High frequency', (0.15, 0.4), 'r')} + + figsize : list | tuple | int | None + Figure size. Default is `(13, 5)`. + ax : :class:`matplotlib.axes.Axes` | None + Where to draw the plot. Default is `None` (create a new figure). + backend: str + Select plotting backend (`"matplotlib"`, `"bokeh"`). Defaults to `"matplotlib"`. + + Returns + ------- + plot : :class:`matplotlib.axes.Axes` | :class:`bokeh.plotting.figure.Figure` + The matplotlib axes, or the boken figure containing the plot. + + See also + -------- + plot_events, plot_ectopic, plot_shortlong, plot_subspaces, plot_frequency, + plot_timedomain, plot_nonlinear + + Examples + -------- + + Visualizing HRV frequency domain from RR time series. + + Using Matplotlib backend + + .. jupyter-execute:: + + from systole import import_rr + from systole.plots import plot_frequency + # Import PPG recording as numpy array + rr = import_rr().rr.to_numpy() + plot_frequency(rr, input_type="rr_ms") + + Using Bokeh backend + + .. jupyter-execute:: + + from systole import import_rr + from systole.plots import plot_frequency + from bokeh.io import output_notebook + from bokeh.plotting import show + output_notebook() + + show( + plot_frequency(rr, input_type="rr_ms", backend="bokeh") + ) + + """ + # Define figure size + if figsize is None: + if backend == "matplotlib": + figsize = (8, 6) + elif backend == "bokeh": + figsize = 600 + + if input_type != "rr_ms": + rr = input_conversion(rr, input_type=input_type, output_type="rr_ms") + freq, power = psd(rr) + + # Interpolate PSD line for plotting + f = interp1d(freq, power, kind="cubic") + freq = np.arange(0.003, 0.4, 0.001) + power = f(freq) + + plot_frequency_args = { + "freq": freq, + "power": power, + "figsize": figsize, + "fbands": fbands, + "ax": ax, + } + + plotting_function = get_plotting_function( + "plot_frequency", "plot_frequency", backend + ) + plot = plotting_function(**plot_frequency_args) + + return plot diff --git a/systole/plots/plot_pointcare.py b/systole/plots/plot_pointcare.py new file mode 100644 index 00000000..57aef6a0 --- /dev/null +++ b/systole/plots/plot_pointcare.py @@ -0,0 +1,107 @@ +# Author: Nicolas Legrand + +from typing import List, Optional, Tuple, Union + +import numpy as np +from bokeh.plotting.figure import Figure +from matplotlib.axes import Axes + +from systole.plots.utils import get_plotting_function + + +def plot_pointcare( + rr: Union[np.ndarray, list], + input_type: str = "peaks", + figsize: Optional[Union[List[int], Tuple[int, int], int]] = None, + backend: str = "matplotlib", + ax: Optional["Axes"] = None, +) -> Union[Figure, Axes]: + """Pointcare plot. + + Parameters + ---------- + rr : np.ndarray | list + Boolean vector of peaks detection or RR intervals. + input_type : str + The type of input vector. Default is `"peaks"` (a boolean vector where + `1` represents the occurrence of R waves or systolic peaks). + Can also be `"rr_s"` or `"rr_ms"` for vectors of RR intervals, or + interbeat intervals (IBI), expressed in seconds or milliseconds + (respectively). + figsize : list | tuple | int | None + Figure size. Default is `(13, 5)`. + backend: str + Select plotting backend {"matplotlib", "bokeh"}. Defaults to + "matplotlib". + ax : :class:`matplotlib.axes.Axes` | None + Where to draw the plot. Default is `None` (create a new figure). + + Returns + ------- + plot : :class:`matplotlib.axes.Axes` or :class:`bokeh.plotting.figure.Figure` + The matplotlib axes, or the boken figure containing the plot. + + See also + -------- + plot_frequency + + Examples + -------- + + Visualizing pointcare plot from RR time series. + + Using Matplotlib backend + + .. jupyter-execute:: + + from systole import import_rr + from systole.plots import plot_pointcare + + # Import PPG recording as numpy array + rr = import_rr().rr.to_numpy() + + plot_pointcare(rr, input_type="rr_ms") + + Using Bokeh backend + + .. jupyter-execute:: + + from bokeh.io import output_notebook + from bokeh.plotting import show + output_notebook() + + from systole import import_rr + from systole.plots import plot_pointcare + + show( + plot_pointcare(rr, input_type="rr_ms", backend="bokeh") + ) + + """ + + # Define figure size + if figsize is None: + if backend == "matplotlib": + figsize = (6, 6) + elif backend == "bokeh": + figsize = 300 + + if input_type == "rr_ms": + rr = np.asarray(rr) + elif input_type == "rr_s": + rr = np.asarray(rr) * 1000 + elif input_type == "peaks": + rr = np.diff(np.where(rr)[0]) + + plot_pointcare_args = { + "rr": rr, + "figsize": figsize, + "ax": ax, + } + + plotting_function = get_plotting_function( + "plot_pointcare", "plot_pointcare", backend + ) + plot = plotting_function(**plot_pointcare_args) + + return plot diff --git a/systole/plots/plot_raw.py b/systole/plots/plot_raw.py new file mode 100644 index 00000000..abfc05c4 --- /dev/null +++ b/systole/plots/plot_raw.py @@ -0,0 +1,168 @@ +# Author: Nicolas Legrand + +from typing import List, Optional, Tuple, Union + +import numpy as np +import pandas as pd +from bokeh.plotting.figure import Figure +from matplotlib.axes import Axes + +from systole.detection import ecg_peaks, ppg_peaks +from systole.plots.utils import get_plotting_function + + +def plot_raw( + signal: Union[pd.DataFrame, np.ndarray, List], + sfreq: int = 1000, + modality: str = "ppg", + ecg_method: str = "pan-tompkins", + show_heart_rate: bool = False, + show_artefacts: bool = False, + slider: bool = True, + ax: Optional[Axes] = None, + figsize: Optional[Union[int, List[int], Tuple[int, int]]] = None, + backend: str = "matplotlib", + **kwargs +) -> Union[Axes, Figure]: + """Visualization of PPG or ECG signal with systolic peaks or R wave detection. + + The instantaneous heart rate can be derived in a second row. + + Parameters + ---------- + signal : :py:class:`pandas.DataFrame` | :py:class:`numpy.ndarray` | list + Dataframe of PPG or ECG signal in the long format. If a data frame is + provided, it should contain at least one ``'time'`` and one colum for + signal(either ``'ppg'`` or ``'ecg'``). If an array is provided, it will + automatically create a DataFrame using the array as signal and + ``sfreq`` as sampling frequency. + sfreq : int + Signal sampling frequency. Default is set to 1000 Hz. + modality : str + The type of signal provided. Can be ``'ppg'`` (pulse oximeter) or + ``'ecg'`` (electrocardiography). The peak detection algorithm used + depend on the type of signal provided. + ecg_method : str + Peak detection algorithm used by the + :py:func:`systole.detection.ecg_peaks` function. Can be one of the + following: `'hamilton'`, `'christov'`, `'engelse-zeelenberg'`, + `'pan-tompkins'`, `'wavelet-transform'`, `'moving-average'`. The + default is `'pan-tompkins'`. + show_heart_rate : bool + If `True`, show the instnataneous heart rate below the raw signal. + Defaults to `False`. + show_artefacts : bool + If `True`, the function will call + py:func:`systole.detection.rr_artefacts` to detect outliers intervalin the time + serie and outline them using different colors. + slider : bool + If `True`, will add a slider to select the time window to plot + (requires bokeh backend). + ax : :class:`matplotlib.axes.Axes` | None + Where to draw the plot. Default is *None* (create a new figure). Only + applies when `backend="matplotlib"`. + figsize : tuple, int or None + Figure size. Default is `(13, 5)` for matplotlib backend, and the + height is `300` when using bokeh backend. + backend: str + Select plotting backend {"matplotlib", "bokeh"}. Defaults to + "matplotlib". + **kwargs : keyword arguments + Additional arguments will be passed to + `:py:func:systole.detection.ppg_peaks()` or + `:py:func:systole.detection.ecg_peaks()`, depending on the type + of data. + + Returns + ------- + plot : :class:`matplotlib.axes.Axes` | :class:`bokeh.plotting.figure.Figure` + The matplotlib axes, or the bokeh figure containing the plot. + + See also + -------- + plot_events, plot_rr + + Examples + -------- + + Plotting raw ECG recording. + + .. jupyter-execute:: + + from systole import import_dataset1 + from systole.plots import plot_raw + + # Import PPG recording as pandas data frame + ecg = import_dataset1(modalities=['ECG']) + + # Only use the first 60 seconds for demonstration + ecg = ecg[ecg.time.between(60, 90)] + plot_raw(ecg, modality='ecg', sfreq=1000, ecg_method='pan-tompkins') + + Plotting raw PPG recording. + + .. jupyter-execute:: + + from systole import import_ppg + + # Import PPG recording as pandas data frame + ppg = import_ppg() + + # Only use the first 60 seconds for demonstration + plot_raw(ppg[ppg.time<60]) + + Using Bokeh backend, with instantaneous heart rate and artefacts. + + .. jupyter-execute:: + + from bokeh.io import output_notebook + from bokeh.plotting import show + output_notebook() + + show( + plot_raw(ppg, backend="bokeh", show_heart_rate=True, show_artefacts=True) + ) + + """ + if figsize is None: + if backend == "matplotlib": + figsize = (13, 5) + elif backend == "bokeh": + figsize = 300 + + if isinstance(signal, pd.DataFrame): + # Find peaks - Remove learning phase + if modality == "ppg": + signal, peaks = ppg_peaks(signal.ppg, noise_removal=False, **kwargs) + elif modality == "ecg": + signal, peaks = ecg_peaks( + signal.ecg, method=ecg_method, find_local=True, **kwargs + ) + else: + if modality == "ppg": + signal, peaks = ppg_peaks( + signal, noise_removal=False, sfreq=sfreq, **kwargs + ) + elif modality == "ecg": + signal, peaks = ecg_peaks( + signal, method=ecg_method, sfreq=sfreq, find_local=True, **kwargs + ) + + time = pd.to_datetime(np.arange(0, len(signal)), unit="ms", origin="unix") + + plot_raw_args = { + "time": time, + "signal": signal, + "peaks": peaks, + "modality": modality, + "show_heart_rate": show_heart_rate, + "show_artefacts": show_artefacts, + "ax": ax, + "figsize": figsize, + "slider": slider, + } + + plotting_function = get_plotting_function("plot_raw", "plot_raw", backend) + plot = plotting_function(**plot_raw_args) + + return plot diff --git a/systole/plots/plot_rr.py b/systole/plots/plot_rr.py new file mode 100644 index 00000000..89f5e3b8 --- /dev/null +++ b/systole/plots/plot_rr.py @@ -0,0 +1,170 @@ +# Author: Nicolas Legrand + +from typing import Dict, List, Optional, Tuple, Union + +import numpy as np +from matplotlib.axes import Axes + +from systole.detection import rr_artefacts +from systole.plots.utils import get_plotting_function + + +def plot_rr( + rr: Union[List, np.ndarray], + unit: str = "rr", + kind: str = "cubic", + line: bool = True, + points: bool = True, + input_type: str = "peaks", + show_artefacts: bool = False, + show_limits: bool = True, + slider: bool = True, + ax: Optional[Axes] = None, + figsize: Optional[Union[Tuple[float, float], int]] = None, + backend: str = "matplotlib", +) -> Axes: + """Plot RR intervals time series. + + Parameters + ---------- + rr : np.ndarray | list + Boolean vector of peaks detection, peaks indexs or RR intervals. + unit : str + The heart rate unit in use. Can be `'rr'` (R-R intervals, in ms) + or `'bpm'` (beats per minutes). Default is `'rr'`. + kind : str + The method to use (parameter of `scipy.interpolate.interp1d`). The + possible relevant methods for instantaneous heart rate are `'cubic'` + (defalut), `'linear'`, `'previous'` and `'next'`. + line : bool + If `True`, plot the interpolated instantaneous heart rate. + points : bool + If `True`, plot each peaks (R wave or systolic peaks) as separated + points + input_type : str + The type of input vector. Default is `"peaks"` (a boolean vector where + `1` represents the occurrence of R waves or systolic peaks). + Can also be `"peaks_idx"`, the idexs of samples where a peaks is detected, + `"rr_s"` or `"rr_ms"` for vectors of RR intervals, or interbeat intervals + (IBI), expressed in seconds or milliseconds (respectively). + show_artefacts : bool + If `True`, the function will call + py:func:`systole.detection.rr_artefacts` to detect outliers interval + in the time serie and outline them using different colors. + show_limits : bool + Use shaded areas to represent the range of physiologically impossible R-R + intervals. Defaults to `True`. + slider : bool + If `True`, add a slider to zoom in/out in the signal (only working with + bokeh backend). + ax : :class:`matplotlib.axes.Axes` or None + Where to draw the plot. Default is *None* (create a new figure). + figsize : tuple | int | None + Figure size. Default is `(13, 5)`. + backend: str + Select plotting backend {"matplotlib", "bokeh"}. Defaults to + "matplotlib". + + Returns + ------- + plot : :class:`matplotlib.axes.Axes` or :class:`bokeh.plotting.figure.Figure` + The matplotlib axes, or the boken figure containing the plot. + + See also + -------- + plot_raw, plot_events + + Examples + -------- + + .. jupyter-execute:: + + from systole import import_rr + from systole.plots import plot_rr + + # Import R-R intervals time series + rr = import_rr().rr.values + + Using Matplotlib backend. + + .. jupyter-execute:: + + plot_rr(rr=rr, input_type="rr_ms") + + Change the default unit to beats per minute (BPM). + + .. jupyter-execute:: + + plot_rr(rr=rr, input_type="rr_ms", unit="bpm") + + Only plot time points. + + .. jupyter-execute:: + + plot_rr(rr=rr, input_type="rr_ms", unit="bpm", line=False); + + Only plot the interpolated instantaneous heart rate variability. + + .. jupyter-execute:: + + plot_rr(rr=rr, input_type="rr_ms", unit="bpm", points=False); + + Using the Bokeh backend. + + .. jupyter-execute:: + + from bokeh.io import output_notebook + from bokeh.plotting import show + output_notebook() + + show( + plot_rr(rr=rr, input_type="rr_ms", backend="bokeh") + ) + + Highlight RR artefacts and outliers. + + .. jupyter-execute:: + + show( + plot_rr(rr=rr, input_type="rr_ms", backend="bokeh", show_artefacts=True) + ) + + """ + + if (points is False) & (line is False): + raise ValueError("Either points or line should be True") + + if figsize is None: + if backend == "matplotlib": + figsize = (13, 5) + elif backend == "bokeh": + figsize = 200 + + if input_type not in ["peaks", "rr_ms", "rr_s", "peaks_idx"]: + raise ValueError("Invalid input type") + + # Detect artefacts in the rr time series if required + artefacts: Optional[Dict[str, np.ndarray]] = None + if show_artefacts is True: + if points is False: + raise Warning("show_artefacts is True but points is set to False") + artefacts = rr_artefacts(rr, input_type=input_type) + + plot_rr_args = { + "rr": rr, + "unit": unit, + "kind": kind, + "line": line, + "points": points, + "artefacts": artefacts, + "input_type": input_type, + "show_limits": show_limits, + "slider": slider, + "ax": ax, + "figsize": figsize, + } + + plotting_function = get_plotting_function("plot_rr", "plot_rr", backend) + plot = plotting_function(**plot_rr_args) + + return plot diff --git a/systole/plots/plot_shortlong.py b/systole/plots/plot_shortlong.py new file mode 100644 index 00000000..bd4263d1 --- /dev/null +++ b/systole/plots/plot_shortlong.py @@ -0,0 +1,159 @@ +# Author: Nicolas Legrand + +from typing import Dict, List, Optional, Tuple, Union, overload + +import numpy as np +from bokeh.plotting.figure import Figure +from matplotlib.axes import Axes + +from systole.correction import rr_artefacts +from systole.plots.utils import get_plotting_function +from systole.utils import input_conversion + + +@overload +def plot_shortlong( + rr: None, artefacts: Dict[str, np.ndarray], input_type: str = "rr_ms" +) -> Union[Figure, Axes]: + ... + + +@overload +def plot_shortlong( + rr: Union[List[float], np.ndarray], artefacts: None, input_type: str = "rr_ms" +) -> Union[Figure, Axes]: + ... + + +@overload +def plot_shortlong( + rr: Union[List[float], np.ndarray], + artefacts: Dict[str, np.ndarray], + input_type: str = "rr_ms", +) -> Union[Figure, Axes]: + ... + + +def plot_shortlong( + rr=None, + artefacts=None, + input_type: str = "rr_ms", + ax: Optional[Axes] = None, + figsize: Union[Tuple[float, float], int] = None, + backend: str = "matplotlib", +) -> Union[Figure, Axes]: + """Visualization of short, long, extra and missed intervals detection. + + The artefact detection is based on the method described in [1]_. + + Parameters + ---------- + rr : :py:class:`numpy.ndarray` | None + Interval time-series (R-R, beat-to-beat...), in seconds or in + miliseconds. + artefacts : dict | None + The artefacts detected using + :py:func:`systole.detection.rr_artefacts()`. + input_type : str + The type of input vector. Default is `"peaks"` (a boolean vector where + `1` represents the occurrence of R waves or systolic peaks). + Can also be `"rr_s"` or `"rr_ms"` for vectors of RR intervals, or + interbeat intervals (IBI), expressed in seconds or milliseconds + (respectively). + ax : :class:`matplotlib.axes.Axes` | None + Where to draw the plot. Default is *None* (create a new figure). Only + applies when `backend="matplotlib"`. + backend: str + Select plotting backend {"matplotlib", "bokeh"}. Defaults to + "matplotlib". + figsize : tuple | int | None + Figure size. Default is `(6, 6)` for matplotlib backend, and the height + is `600` when using bokeh backend. + + Returns + ------- + plot : :class:`matplotlib.axes.Axes` | :class:`bokeh.plotting.figure.Figure` + The matplotlib axes, or the boken figure containing the plot. + + See also + -------- + plot_ectopic, plot_subspaces + + References + ---------- + .. [1] Lipponen, J. A., & Tarvainen, M. P. (2019). A robust algorithm for + heart rate variability time series artefact correction using novel beat + classification. Journal of Medical Engineering & Technology, 43(3), + 173–181. https://doi.org/10.1080/03091902.2019.1640306 + + Notes + ----- + If both `rr` and `artefacts` are provided, the function will drop `artefacts` + and re-evaluate given the current RR time-series. + + Examples + -------- + + Visualizing short/long and missed/extra intervals from RR time series. + + .. jupyter-execute:: + + from systole import import_rr + from systole.plots import plot_shortlong + + # Import PPG recording as numpy array + rr = import_rr().rr.to_numpy() + + plot_shortlong(rr) + + Visualizing ectopic subspace from the `artefact` dictionary. + + .. jupyter-execute:: + + from systole.detection import rr_artefacts + + # Use the rr_artefacts function to short/long and extra/missed intervals + artefacts = rr_artefacts(rr) + + plot_shortlong(artefacts=artefacts) + + Using the Bokeh backend. + + .. jupyter-execute:: + + from bokeh.io import output_notebook + from bokeh.plotting import show + from systole.detection import rr_artefacts + output_notebook() + + show( + plot_shortlong(artefacts=artefacts, backend="bokeh") + ) + + """ + if figsize is None: + if backend == "matplotlib": + figsize = (6, 6) + elif backend == "bokeh": + figsize = 600 + + if artefacts is None: + if rr is None: + raise ValueError("rr or artefacts should be provided") + else: + if input_type != "rr_ms": + rr = input_conversion(rr, input_type=input_type, output_type="rr_ms") + artefacts = rr_artefacts(rr) + + plot_shortlong_args = { + "artefacts": artefacts, + "ax": ax, + "figsize": figsize, + } + + plotting_function = get_plotting_function( + "plot_shortlong", "plot_shortlong", backend + ) + plot = plotting_function(**plot_shortlong_args) + + return plot diff --git a/systole/plots/plot_subspaces.py b/systole/plots/plot_subspaces.py new file mode 100644 index 00000000..157a3e5f --- /dev/null +++ b/systole/plots/plot_subspaces.py @@ -0,0 +1,154 @@ +# Author: Nicolas Legrand + +from typing import Dict, List, Tuple, Union, overload + +import numpy as np +from bokeh.plotting.figure import Figure +from matplotlib.axes import Axes + +from systole.correction import rr_artefacts +from systole.plots.utils import get_plotting_function +from systole.utils import input_conversion + + +@overload +def plot_subspaces( + rr: None, artefacts: Dict[str, np.ndarray], input_type: str = "rr_ms" +) -> Union[Figure, Axes]: + ... + + +@overload +def plot_subspaces( + rr: Union[List[float], np.ndarray], artefacts: None, input_type: str = "rr_ms" +) -> Union[Figure, Axes]: + ... + + +@overload +def plot_subspaces( + rr: Union[List[float], np.ndarray], + artefacts: Dict[str, np.ndarray], + input_type: str = "rr_ms", +) -> Union[Figure, Axes]: + ... + + +def plot_subspaces( + rr=None, + artefacts=None, + input_type: str = "rr_s", + figsize: Union[Tuple[float, float], int] = None, + backend: str = "matplotlib", +) -> Union[Figure, Axes]: + """Visualization of short, long, extra, missed and ectopic beats detection. + + The artefact detection is based on the method described in [1]_. + + Parameters + ---------- + rr : :py:class:`numpy.ndarray` | None + Interval time-series (R-R, beat-to-beat...), in seconds or in + miliseconds. + artefacts : dict | None + The artefacts detected using + :py:func:`systole.detection.rr_artefacts()`. + input_type : str + The type of input vector. Default is `"peaks"` (a boolean vector where + `1` represents the occurrence of R waves or systolic peaks). + Can also be `"rr_s"` or `"rr_ms"` for vectors of RR intervals, or + interbeat intervals (IBI), expressed in seconds or milliseconds + (respectively). + backend: str + Select plotting backend {"matplotlib", "bokeh"}. Defaults to + "matplotlib". + figsize : tuple | int | None + Figure size. Default is `(12, 6)` for matplotlib backend, and the + height is `600` when using bokeh backend. + + Returns + ------- + plot : :class:`matplotlib.axes.Axes` or :class:`bokeh.plotting.figure.Figure` + The matplotlib axes, or the boken figure containing the plot. + + See also + -------- + plot_events, plot_ectopic, plot_shortlong, plot_subspaces, plot_frequency, + plot_timedomain, plot_nonlinear + + References + ---------- + .. [1] Lipponen, J. A., & Tarvainen, M. P. (2019). A robust algorithm for + heart rate variability time series artefact correction using novel beat + classification. Journal of Medical Engineering & Technology, 43(3), + 173–181. https://doi.org/10.1080/03091902.2019.1640306 + + Notes + ----- + If both `rr` and `artefacts` are provided, the function will drop `artefacts` + and re-evaluate given the current RR time-series. + + Examples + -------- + + Visualizing artefacts from RR time series. + + .. jupyter-execute:: + + from systole import import_rr + from systole.plots import plot_subspaces + + # Import PPG recording as numpy array + rr = import_rr().rr.to_numpy() + plot_subspaces(rr, backend="bokeh") + + Visualizing ectopic subspace from the `artefact` dictionary. + + .. jupyter-execute:: + + from systole.detection import rr_artefacts + + # Use the rr_artefacts function to short/long and extra/missed intervals + artefacts = rr_artefacts(rr) + + plot_subspaces(artefacts=artefacts) + + Using the Bokeh backend. + + .. jupyter-execute:: + + from bokeh.io import output_notebook + from bokeh.plotting import show + from systole.detection import rr_artefacts + output_notebook() + + show( + plot_subspaces(artefacts=artefacts, backend="bokeh") + ) + + """ + if figsize is None: + if backend == "matplotlib": + figsize = (12, 6) + elif backend == "bokeh": + figsize = 600 + + if artefacts is None: + if rr is None: + raise ValueError("rr or artefacts should be provided") + else: + if input_type != "rr_ms": + rr = input_conversion(rr, input_type=input_type, output_type="rr_ms") + artefacts = rr_artefacts(rr) + + plot_subspaces_args = { + "artefacts": artefacts, + "figsize": figsize, + } + + plotting_function = get_plotting_function( + "plot_subspaces", "plot_subspaces", backend + ) + plot = plotting_function(**plot_subspaces_args) + + return plot diff --git a/systole/plots/utils.py b/systole/plots/utils.py new file mode 100644 index 00000000..3e1e47d2 --- /dev/null +++ b/systole/plots/utils.py @@ -0,0 +1,52 @@ +# Author: Nicolas Legrand + +import importlib + +from packaging.version import parse + + +def get_plotting_function(plot_name, plot_module, backend="matplotlib"): + """Return plotting function for correct backend. + + Inspired by Arviz'backend management. + """ + + _backend = { + "mpl": "matplotlib", + "bokeh": "bokeh", + "matplotlib": "matplotlib", + } + + backend = backend.lower() + + try: + backend = _backend[backend] + except KeyError as err: + raise KeyError( + "Backend {} is not implemented. Try backend in {}".format( + backend, set(_backend.values()) + ) + ) from err + + if backend == "bokeh": + try: + import bokeh + + assert parse(bokeh.__version__) >= parse("1.4.0") + + except (ImportError, AssertionError) as err: + raise ImportError( + "'bokeh' backend needs Bokeh (1.4.0+) installed." + " Please upgrade or install" + ) from err + + # Perform import of plotting method + module = importlib.import_module( + "systole.plots.backends.{backend}.{plot_module}".format( + backend=backend, plot_module=plot_module + ) + ) + + plotting_method = getattr(module, plot_name) + + return plotting_method diff --git a/systole/plotting.py b/systole/plotting.py deleted file mode 100644 index 96bbd29d..00000000 --- a/systole/plotting.py +++ /dev/null @@ -1,824 +0,0 @@ -# Author: Nicolas Legrand - -import itertools -from typing import TYPE_CHECKING, Dict, List, Optional, Tuple, Union - -import matplotlib.pyplot as plt -import numpy as np -import pandas as pd -import seaborn as sns -from matplotlib.axes import Axes -from scipy.interpolate import interp1d -from scipy.signal import welch - -from systole.detection import ecg_peaks, oxi_peaks, rr_artefacts -from systole.utils import heart_rate - -if TYPE_CHECKING: - from systole.recording import Oximeter - - -def plot_raw( - signal: Union[pd.DataFrame, np.ndarray], - sfreq: int = 75, - type: str = "ppg", - ecg_method: str = "hamilton", - ax: Optional[Axes] = None, - figsize: Tuple[float, float] = (13, 5), - **kwargs -) -> Axes: - """Visualization of PPG signal and systolic peaks detection. - - Parameters - ---------- - signal : :py:class:`pandas.DataFrame` or :py:class:`numpy.ndarray` - Dataframe of PPG or ECG signal in the long format. If a data frame is - provided, it should contain at least one ``'time'`` and one colum for - signal(either ``'ppg'`` or ``'ecg'``). If an array is provided, it will - automatically create a DataFrame using the array as signal and - ``sfreq`` as sampling frequency. - sfreq : int - Signal sampling frequency. Default is set to 75 Hz. - type : str - The type of signal provided. Can be ``'ppg'`` (pulse oximeter) or - ``'ecg'`` (electrocardiography). The peak detection algorithm used - depend on the type of signal provided. - ecg_method : str - Peak detection algorithm used by the - :py:func:`systole.detection.ecg_peaks` function. Can be one of the - following: `'hamilton'`, `'christov'`, `'engelse-zeelenberg'`, - `'pan-tompkins'`, `'wavelet-transform'`, `'moving-average'`. The - default is `'hamilton'`. - figsize : tuple - Figure size. Default set to `(13, 5)`. - **kwargs : keyword arguments - Additional arguments will be passed to - `:py:func:systole.detection.oxi_peaks()` or - `:py:func:systole.detection.ecg_peaks()`, depending on the type - of data. - - Returns - ------- - ax : :class:`matplotlib.axes.Axes` - The matplotlib axes containing the plot. - - See also - -------- - plot_events, plot_subspaces, plot_events, plot_psd, plot_oximeter - - Examples - -------- - Plotting PPG recording. - - .. plot:: - - >>> from systole import import_ppg - >>> from systole.plotting import plot_raw - >>> # Import PPG recording as pandas data frame - >>> ppg = import_ppg() - >>> # Only use the first 60 seconds for demonstration - >>> ppg = ppg[ppg.time<60] - >>> plot_raw(ppg) - - Plotting ECG recording. - - .. plot:: - - >>> from systole import import_dataset1 - >>> from systole.plotting import plot_raw - >>> # Import PPG recording as pandas data frame - >>> ecg = import_dataset1(modalities=['ECG']) - >>> # Only use the first 60 seconds for demonstration - >>> ecg = ecg[ecg.time<60] - >>> plot_raw(ecg, type='ecg', sfreq=1000, ecg_method='pan-tompkins') - """ - if isinstance(signal, pd.DataFrame): - # Find peaks - Remove learning phase - if type == "ppg": - signal, peaks = oxi_peaks(signal.ppg, noise_removal=False, **kwargs) - elif type == "ecg": - signal, peaks = ecg_peaks( - signal.ecg, method=ecg_method, find_local=True, **kwargs - ) - else: - if type == "ppg": - signal, peaks = oxi_peaks( - signal, noise_removal=False, sfreq=sfreq, **kwargs - ) - elif type == "ecg": - signal, peaks = ecg_peaks( - signal, method=ecg_method, sfreq=sfreq, find_local=True, **kwargs - ) - time = np.arange(0, len(signal)) / 1000 - - # Extract heart rate - hr, time = heart_rate(peaks, sfreq=1000, unit="rr", kind="linear") - - ############# - # Upper panel - ############# - if ax is None: - fig, ax = plt.subplots(ncols=1, nrows=2, figsize=figsize, sharex=True) - - # Signal - ax[0].plot(time, signal, label="PPG signal", linewidth=1, color="#c44e52") - - # Peaks - ax[0].scatter( - x=time[peaks], - y=signal[peaks], - marker="o", - label="Peaks", - s=30, - color="white", - edgecolors="DarkSlateGrey", - ) - if type == "ppg": - ax[0].set_title("PPG recording") - ax[0].set_ylabel("PPG level (a.u.)") - elif type == "ecg": - ax[0].set_title("ECG recording") - ax[0].set_ylabel("ECG (mV)") - ax[0].grid(True) - - ############# - # Lower panel - ############# - - # Instantaneous Heart Rate - Lines - ax[1].plot(time, hr, label="R-R intervals", linewidth=1, color="#4c72b0") - - # Instantaneous Heart Rate - Peaks - ax[1].scatter( - x=time[peaks], - y=hr[peaks], - marker="o", - label="R-R intervals", - s=20, - color="white", - edgecolors="DarkSlateGrey", - ) - ax[1].set_title("Instantaneous heart rate") - ax[1].set_xlabel("Time (s)") - ax[1].set_ylabel("R-R interval (ms)") - ax[1].grid(True) - - plt.tight_layout() - sns.despine() - - return ax - - -def plot_events(oximeter: "Oximeter", ax: Optional[Axes] = None) -> Axes: - """Plot events occurence across recording. - - Parameters - ---------- - oximeter : `systole.recording.Oximeter` - The recording instance, where additional channels track different - events using boolean recording. - ax : :class:`matplotlib.axes.Axes` or None - Where to draw the plot. Default is *None* (create a new figure). - - Returns - ------- - ax : :class:`matplotlib.axes.Axes` - The matplotlib axes containing the plot. - """ - if ax is None: - fig, ax = plt.subplots(figsize=(13, 5)) - palette = itertools.cycle(sns.color_palette("deep")) - if oximeter.channels is not None: - events = oximeter.channels.copy() - else: - raise ValueError("No event found") - for i, ch in enumerate(events): - ax.fill_between( - x=oximeter.times, - y1=i, - y2=i + 0.5, - color=next(palette), - where=np.array(events[ch]) == 1, - ) - - # Add y ticks with channels names - ax.set_yticks(np.arange(len(events)) + 0.5) - ax.set_yticklabels([key for key in events]) - ax.set_xlabel("Time (s)") - ax.set_title("Events", fontweight="bold") - - return ax - - -def plot_oximeter( - x: "Union[Oximeter, np.ndarray, List]", sfreq: int = 75, ax: Optional[Axes] = None -) -> Axes: - """Plot PPG signal. - - Parameters - ---------- - x : :py:class:`numpy.ndarray`, list or `systole.recording.Oximeter` - The ppg signal, or the Oximeter instance used to record the signal. - sfreq : int - Signal sampling frequency. Default is 75 Hz. - ax : `Matplotlib.Axes` or None - Where to draw the plot. Default is *None* (create a new figure). - - Returns - ------- - ax : :class:`matplotlib.axes.Axes` - The matplotlib axes containing the plot. - """ - if isinstance(x, (list, np.ndarray)): - times = np.arange(0, len(x) / sfreq, 1 / sfreq) - recording = np.asarray(x) - signal, peaks = oxi_peaks(x, new_sfreq=sfreq) - threshold = None - label = "Offline estimation" - else: - times = np.asarray(x.times) - recording = np.asarray(x.recording) - peaks = np.asarray(x.peaks) - threshold = np.asarray(x.threshold) - label = "Online estimation" - - if ax is None: - fig, ax = plt.subplots(figsize=(13, 5)) - ax.set_title("Oximeter recording", fontweight="bold") - - if threshold is not None: - ax.plot(times, threshold, linestyle="--", color="gray", label="Threshold") - ax.fill_between( - x=times, y1=threshold, y2=recording.min(), alpha=0.2, color="gray" - ) - ax.plot(times, recording, label="Recording", color="#4c72b0") - ax.fill_between(x=times, y1=recording, y2=recording.min(), color="w") - ax.plot( - times[np.where(peaks)[0]], - recording[np.where(peaks)[0]], - "o", - color="#c44e52", - label=label, - ) - ax.set_ylabel("PPG level") - ax.set_xlabel("Time (s)") - ax.legend() - - return ax - - -def plot_subspaces( - rr: Union[List, np.ndarray], - c1: float = 0.17, - c2: float = 0.13, - xlim: float = 10.0, - ylim: float = 5.0, - ax: Optional[Axes] = None, - figsize: Tuple[float, float] = (10, 5), -) -> Axes: - """Plot hrv subspace as described by Lipponen & Tarvainen (2019). - - Parameters - ---------- - rr : :py:class:`numpy.ndarray` or list - Array of RR intervals or subspace1. If subspace1 is provided, subspace2 - and 3 must also be provided. - c1 : float - Fixed variable controling the slope of the threshold lines. Default is - 0.13. - c2 : float - Fixed variable controling the intersect of the threshold lines. Default - is 0.17. - xlim : float - Absolute range of the x axis. Default is 10. - ylim : float - Absolute range of the y axis. Default is 5. - ax : :class:`matplotlib.axes.Axes` or None - Where to draw the plot. Default is *None* (create a new figure). - figsize : tuple - Figure size. Default set to `(10, 5)` - - Returns - ------- - ax : :class:`matplotlib.axes.Axes` - The matplotlib axes containing the plot. - - References - ---------- - [1] Lipponen, J. A., & Tarvainen, M. P. (2019). A robust algorithm for - heart rate variability time series artefact correction using novel beat - classification. Journal of Medical Engineering & Technology, 43(3), - 173–181. https://doi.org/10.1080/03091902.2019.1640306 - - Examples - -------- - - Visualizing artefacts from RR time series. - - .. plot:: - - from systole import import_rr - from systole.plotting import plot_subspaces - # Import PPG recording as numpy array - rr = import_rr().rr.to_numpy() - plot_subspaces(rr) - - """ - if not isinstance(rr, (np.ndarray, np.generic)): - rr = np.asarray(rr) - artefacts = rr_artefacts(rr) - - # Rescale to show outlier in scatterplot - if xlim is not None: - artefacts["subspace1"][artefacts["subspace1"] < -xlim] = -xlim - artefacts["subspace1"][artefacts["subspace1"] > xlim] = xlim - if ylim is not None: - artefacts["subspace2"][artefacts["subspace2"] < -ylim] = -ylim - artefacts["subspace2"][artefacts["subspace2"] > ylim] = ylim - - artefacts["subspace3"][artefacts["subspace3"] < -ylim * 2] = -ylim * 2 - artefacts["subspace3"][artefacts["subspace3"] > ylim * 2] = ylim * 2 - - # Filter for normal beats - normalBeats = ( - (~artefacts["ectopic"]) - & (~artefacts["short"]) - & (~artefacts["long"]) - & (~artefacts["missed"]) - & (~artefacts["extra"]) - ) - - ############# - # First panel - ############# - - if ax is None: - fig, ax = plt.subplots(1, 2, figsize=figsize) - - # Plot normal beats - ax[0].scatter( - artefacts["subspace1"][normalBeats], - artefacts["subspace2"][normalBeats], - color="gray", - edgecolors="k", - s=15, - alpha=0.2, - zorder=10, - label="Normal", - ) - - # Plot outliers - ax[0].scatter( - artefacts["subspace1"][artefacts["ectopic"]], - artefacts["subspace2"][artefacts["ectopic"]], - color="r", - edgecolors="k", - zorder=10, - label="Ectopic", - ) - ax[0].scatter( - artefacts["subspace1"][artefacts["short"]], - artefacts["subspace2"][artefacts["short"]], - color="b", - edgecolors="k", - zorder=10, - marker="s", - label="Short", - ) - ax[0].scatter( - artefacts["subspace1"][artefacts["long"]], - artefacts["subspace2"][artefacts["long"]], - color="g", - edgecolors="k", - zorder=10, - marker="s", - label="Long", - ) - ax[0].scatter( - artefacts["subspace1"][artefacts["missed"]], - artefacts["subspace2"][artefacts["missed"]], - color="g", - edgecolors="k", - zorder=10, - label="Missed", - ) - ax[0].scatter( - artefacts["subspace1"][artefacts["extra"]], - artefacts["subspace2"][artefacts["extra"]], - color="b", - edgecolors="k", - zorder=10, - label="Extra", - ) - - # Upper area - def f1(x): - return -c1 * x + c2 - - ax[0].plot([-1, -10], [f1(-1), f1(-10)], "k", linewidth=1, linestyle="--") - ax[0].plot([-1, -1], [f1(-1), 10], "k", linewidth=1, linestyle="--") - x = [-10, -10, -1, -1] - y = [f1(-10), 10, 10, f1(-1)] - ax[0].fill(x, y, color="gray", alpha=0.3) - - # Lower area - def f2(x): - return -c1 * x - c2 - - ax[0].plot([1, 10], [f2(1), f2(10)], "k", linewidth=1, linestyle="--") - ax[0].plot([1, 1], [f2(1), -10], "k", linewidth=1, linestyle="--") - x = [1, 1, 10, 10] - y = [f2(1), -10, -10, f2(10)] - ax[0].fill(x, y, color="gray", alpha=0.3) - - ax[0].set_xlabel("Subspace $S_{11}$") - ax[0].set_ylabel("Subspace $S_{12}$") - ax[0].set_ylim(-ylim, ylim) - ax[0].set_xlim(-xlim, xlim) - ax[0].set_title("Subspace 1 \n (ectopic beats detection)") - ax[0].legend() - - ############## - # Second panel - ############## - - # Plot normal beats - ax[1].scatter( - artefacts["subspace1"][normalBeats], - artefacts["subspace3"][normalBeats], - color="gray", - edgecolors="k", - alpha=0.2, - zorder=10, - s=15, - label="Normal", - ) - - # Plot outliers - ax[1].scatter( - artefacts["subspace1"][artefacts["ectopic"]], - artefacts["subspace3"][artefacts["ectopic"]], - color="r", - edgecolors="k", - zorder=10, - label="Ectopic", - ) - ax[1].scatter( - artefacts["subspace1"][artefacts["short"]], - artefacts["subspace3"][artefacts["short"]], - color="b", - edgecolors="k", - zorder=10, - marker="s", - label="Short", - ) - ax[1].scatter( - artefacts["subspace1"][artefacts["long"]], - artefacts["subspace3"][artefacts["long"]], - color="g", - edgecolors="k", - zorder=10, - marker="s", - label="Long", - ) - ax[1].scatter( - artefacts["subspace1"][artefacts["missed"]], - artefacts["subspace3"][artefacts["missed"]], - color="g", - edgecolors="k", - zorder=10, - label="Missed", - ) - ax[1].scatter( - artefacts["subspace1"][artefacts["extra"]], - artefacts["subspace3"][artefacts["extra"]], - color="b", - edgecolors="k", - zorder=10, - label="Extra", - ) - # Upper area - ax[1].plot([-1, -10], [1, 1], "k", linewidth=1, linestyle="--") - ax[1].plot([-1, -1], [1, 10], "k", linewidth=1, linestyle="--") - x = [-10, -10, -1, -1] - y = [1, 10, 10, 1] - ax[1].fill(x, y, color="gray", alpha=0.3) - - # Lower area - ax[1].plot([1, 10], [-1, -1], "k", linewidth=1, linestyle="--") - ax[1].plot([1, 1], [-1, -10], "k", linewidth=1, linestyle="--") - x = [1, 1, 10, 10] - y = [-1, -10, -10, -1] - ax[1].fill(x, y, color="gray", alpha=0.3) - - ax[1].set_xlabel("Subspace $S_{21}$") - ax[1].set_ylabel("Subspace $S_{22}$") - ax[1].set_ylim(-ylim * 2, ylim * 2) - ax[1].set_xlim(-xlim, xlim) - ax[1].set_title("Subspace 2 \n (long and short beats detection)") - ax[1].legend() - - plt.tight_layout() - - return ax - - -def plot_psd( - x: Union[List, np.ndarray], - sfreq: int = 5, - method: str = "welch", - fbands: Optional[Dict[str, Tuple[str, Tuple[float, float], str]]] = None, - show: bool = True, - ax: Optional[Axes] = None, -) -> Union[Tuple[np.ndarray, np.ndarray], Axes]: - """Plot frequency component of the heart rate variability. - - Parameters - ---------- - x : :py:class:`numpy.ndarray` or list - Length of R-R intervals (default is in miliseconds). - sfreq : int - The sampling frequency. - method : str - The method used to extract freauency power. Default set to `'welch'`. - fbands : None | dict, optional - Dictionary containing the names of the frequency bands of interest - (str), their range (tuples) and their color in the PSD plot. Default is - >>> {'vlf': ('Very low frequency', (0.003, 0.04), 'b'), - >>> 'lf': ('Low frequency', (0.04, 0.15), 'g'), - >>> 'hf': ('High frequency', (0.15, 0.4), 'r')} - show : bool - Plot the power spectrum density. Default is *True*. - ax : :class:`matplotlib.axes.Axes` or None - Where to draw the plot. Default is `None` (create a new figure). - - Returns - ------- - ax or (freq, psd) : :class:`matplotlib.axes.Axes` or tuple of numpy array - If show is `*`True*, return the PSD plot. If show is *False*, will - return the frequencies and PSD level as arrays. - - Examples - -------- - - Visualizing artefacts from RR time series. - - .. plot:: - - from systole import import_rr - from systole.plotting import plot_psd - # Import PPG recording as numpy array - rr = import_rr().rr.to_numpy() - plot_psd(rr) - - """ - # Interpolate R-R interval - time = np.cumsum(x) - f = interp1d(time, x, kind="cubic") - new_time = np.arange(time[0], time[-1], 1000 / sfreq) # sfreq = 5 Hz - x = f(new_time) - - if method == "welch": - - # Define window length - nperseg = 256 * sfreq - if nperseg > len(x): - nperseg = len(x) - - # Compute Power Spectral Density - freq, psd = welch(x=x, fs=sfreq, nperseg=nperseg, nfft=nperseg * 10) - - psd = psd / 1000000 - - if fbands is None: - fbands = { - "vlf": ("Very low frequency", (0.003, 0.04), "#4c72b0"), - "lf": ("Low frequency", (0.04, 0.15), "#55a868"), - "hf": ("High frequency", (0.15, 0.4), "#c44e52"), - } - - if show is True: - # Plot the PSD - if ax is None: - fig, ax = plt.subplots(figsize=(8, 5)) - ax.plot(freq, psd, "k") - for f in ["vlf", "lf", "hf"]: - mask = (freq >= fbands[f][1][0]) & (freq <= fbands[f][1][1]) - ax.fill_between(freq, psd, where=mask, color=fbands[f][2], alpha=0.8) - ax.axvline(x=fbands[f][1][0], linestyle="--", color="gray") - ax.set_xlim(0.003, 0.4) - ax.set_xlabel("Frequency [Hz]") - ax.set_ylabel("PSD [$s^2$/Hz]") - ax.set_title("Power Spectral Density", fontweight="bold") - - return ax - else: - return freq, psd - - -def circular( - data: Union[List, np.ndarray], - bins: int = 32, - density: str = "area", - offset: float = 0.0, - mean: bool = False, - norm: bool = True, - units: str = "radians", - color: Optional[str] = None, - ax: Optional[Axes] = None, -) -> Axes: - """Plot polar histogram. - - Parameters - ---------- - data : :py:class:`numpy.ndarray` or list - Angular values, in radians. - bins : int - Use even value to have a bin edge at zero. - density : str - Is the density represented via the height or the area of the bars. - Default set to 'area' (avoid misleading representation). - offset : float - Where 0 will be placed on the circle, in radians. Default set to 0 - (right). - mean : bool - If `True`, show the mean and 95% CI. Default set to `False` - norm : boolean - Normalize the distribution between 0 and 1. - units : str - Unit of the angular representation. Can be `'degree'` or `'radian'`. - Default set to 'radians'. - color : str - The color of the bars. - ax : :class:`matplotlib.axes.Axes` or None - Where to draw the plot. Default is `None` (create a new figure). - - Returns - ------- - ax : :class:`matplotlib.axes.Axes` - The matplotlib axes containing the plot. - - Notes - ----- - The density function can be represented using the area of the bars, the - height or the transparency (alpha). The default behaviour will use the - area. Using the heigth can visually biase the importance of the largest - values. Adapted from [#]_. - - The circular mean was adapted from the implementation of the pingouin - python package [#]_ - - Examples - -------- - Plot polar data. - - .. plot:: - - import numpy as np - from systole.plotting import circular - x = np.random.normal(np.pi, 0.5, 100) - circular(x) - - References - ---------- - .. [#] https://jwalton.info/Matplotlib-rose-plots/ - - .. [#] https://pingouin-stats.org/_modules/pingouin/circular.html#circ_mean - - """ - if isinstance(data, list): - data = np.asarray(data) - - if color is None: - color = "#539dcc" - - if ax is None: - ax = plt.subplot(111, polar=True) - - # Bin data and count - count, bin = np.histogram(data, bins=bins, range=(0, np.pi * 2)) - - # Compute width - widths = np.diff(bin)[0] - - if density == "area": # Default - # Area to assign each bin - area = count / data.size - # Calculate corresponding bin radius - radius = (area / np.pi) ** 0.5 - alpha = (count * 0) + 1 - elif density == "height": # Using height (can be misleading) - radius = count / data.size - alpha = (count * 0) + 1 - elif density == "alpha": # Using transparency - radius = (count * 0) + 1 - # Alpha level to each bin - alpha = count / data.size - alpha = alpha / alpha.max() - else: - raise ValueError("Invalid method") - - if norm is True: - radius = radius / radius.max() - - # Plot data on ax - for b, r, a in zip(bin[:-1], radius, alpha): - ax.bar( - b, - r, - align="edge", - width=widths, - edgecolor="k", - linewidth=1, - color=color, - alpha=a, - ) - - # Plot mean and CI - if mean: - # Use pingouin.circ_mean() method - alpha = np.array(data) - w = np.ones_like(alpha) - circ_mean = np.angle(np.multiply(w, np.exp(1j * alpha)).sum(axis=0)) - ax.plot(circ_mean, radius.max(), "ko") - - # Set the direction of the zero angle - ax.set_theta_offset(offset) - - # Remove ylabels - ax.set_yticks([]) - - if units == "radians": - label = [ - "$0$", - r"$\pi/4$", - r"$\pi/2$", - r"$3\pi/4$", - r"$\pi$", - r"$5\pi/4$", - r"$3\pi/2$", - r"$7\pi/4$", - ] - ax.set_xticklabels(label) - plt.tight_layout() - - return ax - - -def plot_circular( - data: pd.DataFrame, - y: Union[str, List, None] = None, - hue: Optional[Union[str, List[str]]] = None, - **kwargs -) -> Axes: - """Plot polar histogram. - - Parameters - ---------- - data : :py:class:`pandas.DataFrame` - Angular data (rad.). - y : str or list - If data is a pandas instance, column containing the angular values. - hue : str or list of strings - Columns in data encoding the different conditions. - **kwargs : Additional `_circular()` arguments. - - Returns - ------- - ax : :class:`matplotlib.axes.Axes` - The matplotlib axes containing the plot. - - Examples - -------- - .. plot:: - - import numpy as np - import pandas as pd - from systole.plotting import plot_circular - x = np.random.normal(np.pi, 0.5, 100) - y = np.random.uniform(0, np.pi*2, 100) - data = pd.DataFrame(data={'x': x, 'y': y}).melt() - plot_circular(data=data, y='value', hue='variable') - - """ - # Check data format - if isinstance(data, pd.DataFrame): - assert data.shape[0] > 0, "Data must have at least 1 row." - - palette = itertools.cycle(sns.color_palette("deep")) - - if hue is None: - ax = circular(data[y].values, **kwargs) - - else: - n_plot = data[hue].nunique() - - fig, axs = plt.subplots(1, n_plot, subplot_kw=dict(projection="polar")) - - for i, cond in enumerate(data[hue].unique()): - - x = data[y][data[hue] == cond] - - ax = circular(x, color=next(palette), ax=axs[i], **kwargs) - - return ax diff --git a/systole/recording.py b/systole/recording.py index 5cc52798..3734ab08 100644 --- a/systole/recording.py +++ b/systole/recording.py @@ -10,8 +10,8 @@ import serial from serial.tools import list_ports -from systole.detection import oxi_peaks -from systole.plotting import plot_events, plot_oximeter, plot_raw +from systole.detection import ppg_peaks +from systole.plots import plot_events, plot_raw class Oximeter: @@ -305,10 +305,10 @@ def find_peaks(self, **kwargs): Other Parameters ---------------- - **kwargs : py:func:`systole.detection.oxi_peaks` properties. + **kwargs : py:func:`systole.detection.ppg_peaks` properties. """ # Peak detection - resampled_signal, peaks = oxi_peaks(self.recording, new_sfreq=75, **kwargs) + resampled_signal, peaks = ppg_peaks(self.recording, new_sfreq=75, **kwargs) # R-R intervals (in miliseconds) self.rr = (np.diff(np.where(peaks)[0]) / self.sfreq) * 1000 @@ -318,41 +318,43 @@ def find_peaks(self, **kwargs): return self - def plot_events(self, ax=None): + def plot_events(self, n_channel: str = "Channel_0", **kwargs): """Visualize the distribution of events stored in additional channels. - Returns - ------- - fig, ax : Matplotlib instances. - The figure and axe instances. - """ - ax = plot_events(self, ax=ax) - - return ax - - def plot_raw(self, ax=None): - """Plot heartrate extracted from PPG recording. + Parameters + ---------- + n_channel : str + The name of the channel encoding the events of interest. Defaults to + `""Channel_0""`. + kwargs: key, value mappings + Other keyword arguments are passed down to + py:`func:systole.plots.plot_evoked()`. Returns ------- fig, ax : Matplotlib instances. The figure and axe instances. """ - ax = plot_raw(self.recording, ax=ax) + if self.channels is not None: + triggers = self.channels[n_channel] - return ax + return plot_events(triggers=triggers, sfreq=75, **kwargs) - def plot_recording(self, ax=None): - """Plot recorded signal. + def plot_raw(self, **kwargs): + """Plot the raw PPG signal. + + Parameters + ---------- + **kwargs : key, value mappings + Additional arguments will be passed to `:py:func:systole.plots.plot_raw`. Returns ------- - fig, ax : Matplotlib instances. - The figure and axe instances. + plot : :class:`matplotlib.axes.Axes` or :class:`bokeh.plotting.figure.Figure` + The matplotlib axes, or the boken figure containing the plot. """ - ax = plot_oximeter(self, ax=ax) - return ax + return plot_raw(signal=self.recording, sfreq=75, **kwargs) def read(self, duration: float): """Read PPG signal for some amount of time. diff --git a/systole/tests/test_correction.py b/systole/tests/test_correction.py index 73205b66..f79c6362 100644 --- a/systole/tests/test_correction.py +++ b/systole/tests/test_correction.py @@ -8,7 +8,6 @@ from systole import import_rr from systole.correction import ( correct_extra, - correct_extra_peaks, correct_missed, correct_missed_peaks, correct_peaks, @@ -20,7 +19,7 @@ class TestDetection(TestCase): def test_correct_extra(self): - """Test oxi_peaks function""" + """Test ppg_peaks function""" rr = import_rr().rr.values # Import RR time series rr[20] = 200 clean_rr = correct_extra(rr, 20) @@ -49,13 +48,13 @@ def test_correct_rr(self): """Test correct_rr function""" rr = simulate_rr() # Import RR time series correction = correct_rr(rr) - correction = correct_rr(list(rr)) - assert len(correction["clean_rr"]) == 352 + correction = correct_rr(list(rr), n_iterations=1) + assert len(correction["clean_rr"]) == 350 assert correction["ectopic"] == 5 assert correction["missed"] == 1 assert correction["extra"] == 1 - assert correction["long"] == 1 - assert correction["short"] == 3 + assert correction["long"] == 2 + assert correction["short"] == 1 def test_correct_peaks(self): """Test correct_peaks function""" @@ -65,27 +64,21 @@ def test_correct_peaks(self): assert len(peaks_correction["clean_peaks"]) == 280154 assert peaks_correction["missed"] == 1 assert peaks_correction["extra"] == 1 - assert peaks_correction["ectopic"] == 0 - assert peaks_correction["long"] == 0 - assert peaks_correction["short"] == 0 - - def test_correct_extra_peaks(self): - """Test correct_extra_peaks function""" - peaks = simulate_rr(as_peaks=True) - # RR time series to peaks boolean vector - peaks_correction = correct_extra_peaks(peaks, 20) - peaks_correction = correct_extra_peaks(list(peaks), 20) - assert len(peaks_correction) == len(peaks) - assert sum(peaks_correction) == sum(peaks) - 1 def test_correct_missed_peaks(self): """Test correct_missed_peaks function""" - peaks = simulate_rr(as_peaks=True) - # RR time series to peaks boolean vector - peaks_correction = correct_missed_peaks(peaks, 20) - peaks_correction = correct_missed_peaks(list(peaks), 20) - assert len(peaks_correction) == len(peaks) - assert sum(peaks_correction) == sum(peaks) + 1 + np.random.seed(123) + rr = np.random.normal(1000, 200, 10).astype("int") + peaks = np.zeros(10000) + peaks[np.cumsum(rr)] = 1 + assert np.where(peaks)[0].sum() == 52029 + + peaks[3735] = 0 + peaks = correct_missed_peaks(peaks, idx=4619) + assert np.where(peaks)[0].sum() == 52122 + + with self.assertRaises(ValueError): + correct_missed_peaks(peaks, idx=4610) if __name__ == "__main__": diff --git a/systole/tests/test_detection.py b/systole/tests/test_detection.py index 862c1492..89497d95 100644 --- a/systole/tests/test_detection.py +++ b/systole/tests/test_detection.py @@ -6,24 +6,30 @@ import numpy as np from systole import import_dataset1, import_ppg -from systole.detection import ecg_peaks, interpolate_clipping, oxi_peaks, rr_artefacts -from systole.utils import simulate_rr +from systole.detection import ecg_peaks, interpolate_clipping, ppg_peaks, rr_artefacts class TestDetection(TestCase): - def test_oxi_peaks(self): - """Test oxi_peaks function""" + def test_ppg_peaks(self): + """Test ppg_peaks function""" df = import_ppg() # Import PPG recording - signal, peaks = oxi_peaks(df.ppg.to_numpy(), clean_extra=True) + signal, peaks = ppg_peaks(df.ppg.to_numpy(), clean_extra=True) assert len(signal) == len(peaks) assert np.all(np.unique(peaks) == [0, 1]) assert np.mean(np.where(peaks)[0]) == 165778.0 def test_rr_artefacts(self): - rr = simulate_rr() # Simulate RR time series - artefacts = rr_artefacts(rr) - artefacts = rr_artefacts(list(rr)) - assert all(350 == x for x in [len(artefacts[k]) for k in artefacts.keys()]) + ppg = import_ppg().ppg.to_numpy() + _, peaks = ppg_peaks(ppg) + rr_ms = np.diff(np.where(peaks)[0]) + artefacts_ms = rr_artefacts(rr_ms, input_type="rr_ms") + artefacts_peaks = rr_artefacts(peaks, input_type="peaks") + assert all( + 377 == x for x in [len(artefacts_ms[k]) for k in artefacts_ms.keys()] + ) + assert all( + 377 == x for x in [len(artefacts_peaks[k]) for k in artefacts_peaks.keys()] + ) def test_interpolate_clipping(self): df = import_ppg() @@ -37,23 +43,23 @@ def test_interpolate_clipping(self): def test_ecg_peaks(self): signal_df = import_dataset1()[: 20 * 2000] - signal, peaks = ecg_peaks( + _, peaks = ecg_peaks( signal_df.ecg.to_numpy(), method="hamilton", sfreq=2000, find_local=True ) for method in [ "christov", "engelse-zeelenberg", + "hamilton", "pan-tompkins", - "wavelet-transform", "moving-average", ]: - signal, peaks = ecg_peaks( + _, peaks = ecg_peaks( signal_df.ecg, method=method, sfreq=2000, find_local=True ) assert not np.any(peaks > 1) with self.assertRaises(ValueError): - signal, peaks = ecg_peaks( + _, peaks = ecg_peaks( signal_df.ecg.to_numpy(), method="error", sfreq=2000, find_local=True ) diff --git a/systole/tests/test_hrv.py b/systole/tests/test_hrv.py index ad150b3d..256893a0 100644 --- a/systole/tests/test_hrv.py +++ b/systole/tests/test_hrv.py @@ -8,7 +8,7 @@ import pytest from systole import import_rr -from systole.hrv import frequency_domain, nnX, nonlinear, pnnX, rmssd, time_domain +from systole.hrv import frequency_domain, nnX, nonlinear, pnnX, psd, rmssd, time_domain rr = import_rr().rr.values @@ -16,14 +16,18 @@ class TestHrv(TestCase): def test_nnX(self): """Test nnX function""" - nn = nnX(list(rr)) + nn = nnX(list(rr), input_type="rr_ms") + assert nn == 64 + nn = nnX(rr / 1000, input_type="rr_s") assert nn == 64 with pytest.raises(ValueError): nnX(np.array([[1, 1], [1, 1]])) def test_pnnX(self): """Test pnnX function""" - pnn = pnnX(list(rr)) + pnn = pnnX(list(rr), input_type="rr_ms") + assert round(pnn, 2) == 26.23 + pnn = pnnX(rr / 1000, input_type="rr_s") assert round(pnn, 2) == 26.23 with pytest.raises(ValueError): pnnX(np.array([[1, 1], [1, 1]])) @@ -32,6 +36,8 @@ def test_rmssd(self): """Test rmssd function""" rms = rmssd(list(rr)) assert round(rms, 2) == 45.55 + rms = rmssd(rr / 1000, input_type="rr_s") + assert round(rms, 2) == 45.55 with pytest.raises(ValueError): rmssd(np.array([[1, 1], [1, 1]])) @@ -42,18 +48,28 @@ def test_time_domain(self): assert stats.size == 24 with pytest.raises(ValueError): time_domain(np.array([[1, 1], [1, 1]])) + stats = time_domain(rr / 1000, input_type="rr_s") + + def test_psd(self): + """Test frequency_domain function""" + freq, pwr = psd(rr=list(rr)) + freq2, pwr2 = psd(rr=rr / 1000, input_type="rr_s") + assert (freq - freq2).sum() == 0.0 + assert (pwr - pwr2).sum() < 1e-10 def test_frequency_domain(self): """Test frequency_domain function""" - stats = frequency_domain(list(rr)) + stats = frequency_domain(rr=list(rr)) assert isinstance(stats, pd.DataFrame) assert stats.size == 22 + stats = frequency_domain(rr=rr / 1000, input_type="rr_s") def test_nonlinear(self): """Test nonlinear_domain function""" stats = nonlinear(list(rr)) assert isinstance(stats, pd.DataFrame) self.assertEqual(stats.size, 4) + stats = nonlinear(rr / 1000, input_type="rr_s") if __name__ == "__main__": diff --git a/systole/tests/test_notebooks.py b/systole/tests/test_notebooks.py new file mode 100644 index 00000000..8785b007 --- /dev/null +++ b/systole/tests/test_notebooks.py @@ -0,0 +1,28 @@ +# Author: Nicolas Legrand + +import os +import unittest +from unittest import TestCase + +import papermill as pm + + +class TestNotebooks(TestCase): + def test_notebooks(self): + """Test tutorial notebooks""" + + # Load tutorial notebooks from the GitHub repository + url = "https://github.com/embodied-computation-group/systole/raw/dev/source/notebooks/" + for nb in [ + "1-PhysiologicalSignals.ipynb", + "2-DetectingCycles.ipynb", + "3-DetectingAndCorrectingArtefacts.ipynb", + "4-HeartRateVariability.ipynb", + "5-InstantaneousHeartRate.ipynb", + ]: + pm.execute_notebook(url + nb, "./tmp.ipynb") + os.remove("./tmp.ipynb") + + +if __name__ == "__main__": + unittest.main(argv=["first-arg-is-ignored"], exit=False) diff --git a/systole/tests/test_plotly.py b/systole/tests/test_plotly.py deleted file mode 100644 index b91e7aff..00000000 --- a/systole/tests/test_plotly.py +++ /dev/null @@ -1,65 +0,0 @@ -# Author: Nicolas Legrand - -import unittest -from unittest import TestCase - -import numpy as np -import pandas as pd - -from systole import import_dataset1, import_ppg -from systole.plotly import ( - plot_ectopic, - plot_frequency, - plot_nonlinear, - plot_raw, - plot_shortLong, - plot_subspaces, - plot_timedomain, -) -from systole.utils import simulate_rr - -rr = simulate_rr() -ppg = import_ppg().ppg.to_numpy() -signal_df = pd.DataFrame({"time": np.arange(0, len(ppg)) / 75, "ppg": ppg}) - - -class TestInteractive(TestCase): - def test_plot_raw(self): - """Test plot_raw function""" - plot_raw(signal_df) - plot_raw(signal_df.ppg.to_numpy()) - ecg_df = import_dataset1()[: 20 * 2000] - plot_raw(ecg_df, type="ecg") - plot_raw(ecg_df.ecg.to_numpy(), type="ecg", sfreq=2000) - - def test_plot_shortLong(self): - """Test plot_shortLong function""" - plot_shortLong(rr) - with self.assertRaises(ValueError): - plot_shortLong(rr=None, artefacts=None) - - def test_plot_ectopic(self): - """Test plot_ectopic function""" - plot_ectopic(rr) - with self.assertRaises(ValueError): - plot_ectopic(rr=None, artefacts=None) - - def test_plot_subspaces(self): - """Test nnX function""" - plot_subspaces(rr) - - def test_plot_frequency(self): - """Test nnX function""" - plot_frequency(rr) - - def test_plot_nonlinear(self): - """Test nnX function""" - plot_nonlinear(rr) - - def test_plot_timedomain(self): - """Test nnX function""" - plot_timedomain(rr) - - -if __name__ == "__main__": - unittest.main(argv=["first-arg-is-ignored"], exit=False) diff --git a/systole/tests/test_plots.py b/systole/tests/test_plots.py new file mode 100644 index 00000000..718caba3 --- /dev/null +++ b/systole/tests/test_plots.py @@ -0,0 +1,161 @@ +# Author: Nicolas Legrand + +import unittest +from unittest import TestCase + +import numpy as np +import pandas as pd +import seaborn as sns + +from systole import import_dataset1, import_ppg, import_rr +from systole.detection import ecg_peaks +from systole.plots import ( + plot_circular, + plot_ectopic, + plot_events, + plot_evoked, + plot_frequency, + plot_pointcare, + plot_raw, + plot_rr, + plot_shortlong, + plot_subspaces, +) + + +class TestPlots(TestCase): + def test_plot_circular(self): + """Test plot_circular function""" + for backend in ["matplotlib"]: + + # Single array as input + data = np.random.normal(np.pi, 0.5, 100) + plot_circular(data=data, backend=backend) + + # List of arrays as input + data = [ + np.random.normal(np.pi, 0.5, 100), + np.random.uniform(0, np.pi * 2, 100), + ] + plot_circular(data=data, hue=None, backend=backend) + + # DataFrame as input + x = np.random.normal(np.pi, 0.5, 100) + y = np.random.uniform(0, np.pi * 2, 100) + data = pd.DataFrame(data={"x": x, "y": y}).melt() + plot_circular(data=data, y="value", hue="variable", backend=backend) + + def test_plot_ectopic(self): + """Test plot_ectopic function""" + rr = import_rr().rr + for backend in ["matplotlib", "bokeh"]: + plot_ectopic(rr, backend=backend) + + def test_plot_evoked(self): + """Test plot_evoked function""" + # Import ECG recording and Stim channel + ecg_df = import_dataset1(modalities=["ECG", "Stim"]) + + # Peak detection in the ECG signal using the Pan-Tompkins method + _, peaks = ecg_peaks(ecg_df.ecg, method="pan-tompkins", sfreq=1000) + + triggers_idx = [ + np.where(ecg_df.stim.to_numpy() == 2)[0], + np.where(ecg_df.stim.to_numpy() == 1)[0], + ] + + for backend in ["matplotlib", "bokeh"]: + plot_evoked( + rr=peaks, + triggers_idx=triggers_idx, + input_type="peaks", + backend=backend, + palette=[sns.xkcd_rgb["denim blue"], sns.xkcd_rgb["pale red"]], + ) + + def test_plot_events(self): + """Test plot_events function""" + # Import ECG recording and Stim channel + ecg_df = import_dataset1(modalities=["ECG", "Stim"]) + + triggers_idx = [ + np.where(ecg_df.stim.to_numpy() == 2)[0], + np.where(ecg_df.stim.to_numpy() == 1)[0], + ] + + for backend in ["matplotlib", "bokeh"]: + plot_events( + triggers_idx=triggers_idx, + backend=backend, + events_labels=["Disgust", "Neutral"], + tmin=-0.5, + tmax=10.0, + ) + + def test_plot_frequency(self): + """Test plot_frequency function""" + rr = import_rr().rr + for backend in ["matplotlib", "bokeh"]: + plot_frequency(rr, backend=backend, input_type="rr_ms") + + def test_plot_pointcare(self): + """Test plot_pointcare function""" + rr = import_rr().rr + for backend in ["matplotlib", "bokeh"]: + plot_pointcare(rr, backend=backend, input_type="rr_ms") + + def test_plot_raw(self): + """Test plot_raw function""" + for backend in ["matplotlib", "bokeh"]: + + # Using ppg signal + ppg = import_ppg().ppg.to_numpy() + plot_raw( + ppg, + backend=backend, + show_heart_rate=True, + show_artefacts=True, + modality="ppg", + sfreq=75, + ) + + # Using ecg signal + ecg_df = import_dataset1(modalities=["ECG"]) + plot_raw( + ecg_df.ecg, + backend=backend, + show_heart_rate=True, + show_artefacts=True, + modality="ecg", + sfreq=1000, + ) + + def test_plot_rr(self): + """Test plot_rr function""" + rr = import_rr().rr + for backend in ["matplotlib", "bokeh"]: + plot_rr( + rr, + backend=backend, + input_type="rr_ms", + show_artefacts=True, + slider=True, + ) + plot_rr(rr, backend=backend, input_type="rr_ms", points=False) + plot_rr(rr, backend=backend, input_type="rr_ms", line=False) + + def test_plot_shortlong(self): + """Test plot_shortlong function""" + rr = import_rr().rr + for backend in ["matplotlib", "bokeh"]: + plot_shortlong(rr, backend=backend, input_type="rr_ms") + + def test_plot_subspaces(self): + """Test plot_subspaces function""" + rr = import_rr().rr + for backend in ["matplotlib", "bokeh"]: + plot_subspaces(rr, backend=backend) + + +if __name__ == "__main__": + unittest.main(argv=["first-arg-is-ignored"], exit=False) diff --git a/systole/tests/test_plotting.py b/systole/tests/test_plotting.py deleted file mode 100644 index 6b601ccb..00000000 --- a/systole/tests/test_plotting.py +++ /dev/null @@ -1,99 +0,0 @@ -# Author: Nicolas Legrand - -import unittest -from unittest import TestCase - -import matplotlib -import numpy as np -import pandas as pd -import pytest - -from systole import import_ppg, import_rr, serialSim -from systole.plotting import ( - circular, - plot_circular, - plot_events, - plot_oximeter, - plot_psd, - plot_raw, - plot_subspaces, -) -from systole.recording import Oximeter - -serial = serialSim() -oxi = Oximeter(serial=serial, add_channels=1).setup().read(10) -oxi.channels["Channel_0"][100] = 1 - -# Simulate oximeter instance from recorded signal -ppg = import_ppg().ppg.to_numpy() -oxi = Oximeter(serial=None, add_channels=1) -oxi.threshold = [0] * 75 -oxi.peaks = [0] * 75 -oxi.instant_rr = [0] * 75 -oxi.recording = list(ppg[:75]) -for i in range(len(ppg[75:750])): - oxi.add_paquet(ppg[75 + i]) -oxi.channels["Channel_0"] = np.zeros(750, dtype=int) -oxi.channels["Channel_0"][np.random.choice(np.arange(0, 750), 5)] = 1 -oxi.times = list(np.arange(0, 10, 1 / 75)) - -# Create angular data -x = np.random.normal(np.pi, 0.5, 100) -y = np.random.uniform(0, np.pi * 2, 100) -z = np.concatenate( - [np.random.normal(np.pi / 2, 0.5, 50), np.random.normal(np.pi + np.pi / 2, 0.5, 50)] -) - - -class TestPlotting(TestCase): - def test_plot_raw(self): - ax = plot_raw(ppg) - assert isinstance(ax[0], matplotlib.axes.Axes) - - def test_plot_events(self): - ax = plot_events(oxi) - assert isinstance(ax, matplotlib.axes.Axes) - - def test_plot_oximeter(self): - ax = plot_oximeter(oxi) - ax = plot_oximeter(ppg[75:]) - assert isinstance(ax, matplotlib.axes.Axes) - - def test_plot_subspaces(self): - rr = import_rr().rr - ax = plot_subspaces(rr) - assert isinstance(ax[0], matplotlib.axes.Axes) - assert isinstance(ax[1], matplotlib.axes.Axes) - - def test_plot_psd(self): - """Test plot_psd function""" - rr = import_rr().rr.values - ax = plot_psd(rr) - assert isinstance(ax, matplotlib.axes.Axes) - freq, psd = plot_psd(rr, show=False) - assert freq.mean() == 1.25 - assert psd.mean().round(4) == 0.003 - - def test_circular(self): - """Tests _circular function""" - ax = circular(list(x)) - assert isinstance(ax, matplotlib.axes.Axes) - for dens in ["area", "heigth", "alpha"]: - ax = circular(x, density="alpha", offset=np.pi, ax=None) - assert isinstance(ax, matplotlib.axes.Axes) - ax = circular(x, density="height", mean=True, units="degree", color="r") - assert isinstance(ax, matplotlib.axes.Axes) - with pytest.raises(ValueError): - ax = circular(x, density="xx") - - def test_plot_circular(self): - """Test plot_circular function""" - data = pd.DataFrame(data={"x": x, "y": y, "z": z}).melt() - ax = plot_circular(data=data, y="value", hue="variable") - assert isinstance(ax, matplotlib.axes.Axes) - ax = plot_circular(data=data, y="value", hue=None) - assert isinstance(ax, matplotlib.axes.Axes) - - -if __name__ == "__main__": - unittest.main(argv=["first-arg-is-ignored"], exit=False) diff --git a/systole/tests/test_recording.py b/systole/tests/test_recording.py index 4760baf3..5372c821 100644 --- a/systole/tests/test_recording.py +++ b/systole/tests/test_recording.py @@ -6,7 +6,6 @@ import unittest from unittest import TestCase -import matplotlib import numpy as np from systole import serialSim @@ -34,15 +33,9 @@ def test_oximeter(self): # Simulate events in recording for idx in np.random.choice(len(oxi.recording), 5): oxi.channels["Channel_0"][idx] = 1 - ax = oxi.plot_events() - assert isinstance(ax, matplotlib.axes.Axes) + oxi.plot_events() - ax = oxi.plot_raw() - assert isinstance(ax[0], matplotlib.axes.Axes) - assert isinstance(ax[1], matplotlib.axes.Axes) - - ax = oxi.plot_recording() - assert isinstance(ax, matplotlib.axes.Axes) + oxi.plot_raw() oxi.serial.ppg = [1000] # Insert error in recording with self.assertRaises(ValueError): diff --git a/systole/tests/test_utils.py b/systole/tests/test_utils.py index e86ed1fb..dae5b9c3 100644 --- a/systole/tests/test_utils.py +++ b/systole/tests/test_utils.py @@ -6,23 +6,23 @@ import numpy as np import pytest -from systole import import_ppg, import_rr -from systole.detection import oxi_peaks +from systole import import_dataset1, import_ppg, import_rr +from systole.detection import ppg_peaks from systole.utils import ( heart_rate, + input_conversion, norm_triggers, simulate_rr, time_shift, to_angles, to_epochs, - to_rr, ) class TestUtils(TestCase): def test_norm_triggers(self): ppg = import_ppg().ppg.to_numpy() # Import PPG recording - signal, peaks = oxi_peaks(ppg) + _, peaks = ppg_peaks(ppg) peaks[np.where(peaks)[0] + 1] = 1 peaks[np.where(peaks)[0] + 2] = 1 peaks[-1:] = 1 @@ -31,7 +31,7 @@ def test_norm_triggers(self): peaks = -peaks.astype(int) y = norm_triggers(peaks, threshold=-1, direction="lower") assert sum(y) == 379 - with pytest.raises(ValueError): + with pytest.raises(TypeError): norm_triggers(None) with pytest.raises(ValueError): norm_triggers(peaks, direction="invalid") @@ -39,15 +39,26 @@ def test_norm_triggers(self): def test_heart_rate(self): """Test heart_rate function""" ppg = import_ppg().ppg.to_numpy() # Import PPG recording - signal, peaks = oxi_peaks(ppg) + _, peaks = ppg_peaks(ppg) heartrate, time = heart_rate(peaks) assert len(heartrate) == len(time) + assert np.nanmean(heartrate) == 884.92526408453 heartrate, time = heart_rate(list(peaks)) assert len(heartrate) == len(time) + assert np.nanmean(heartrate) == 884.92526408453 heartrate, time = heart_rate(peaks, unit="bpm", kind="cubic", sfreq=500) assert len(heartrate) == len(time) + assert np.nanmean(heartrate) == 34.34558271737578 with pytest.raises(ValueError): heartrate, time = heart_rate([1, 2, 3]) + heartrate, time = heart_rate( + np.diff(np.where(peaks)), kind="cubic", input_type="rr_ms" + ) + assert np.nanmean(heartrate) == 884.9253824912565 + heartrate, time = heart_rate( + np.diff(np.where(peaks)) / 1000, kind="cubic", input_type="rr_s" + ) + assert np.nanmean(heartrate) == 884.92526408453 def test_time_shift(self): """Test time_shift function""" @@ -63,38 +74,92 @@ def test_to_angle(self): assert ~np.any(np.asarray(ang) < 0) assert ~np.any(np.asarray(ang) > np.pi * 2) ppg = import_ppg().ppg.to_numpy() # Import PPG recording - signal, peaks = oxi_peaks(ppg) + signal, peaks = ppg_peaks(ppg) ang = to_angles(peaks, peaks) def test_to_epochs(self): - """Test oxi_peaks function""" - ppg = import_ppg().ppg.to_numpy() # Import PPG recording - events = import_ppg().ppg.to_numpy() # Import events - events[2] = 1 - epochs = to_epochs(ppg, events, sfreq=75, verbose=True, apply_baseline=(-1, 0)) - assert epochs.ndim == 2 - epochs = to_epochs(list(ppg), list(events), sfreq=75, apply_baseline=None) - reject = np.arange(0, len(ppg)) - reject[50:55] = 1 - epochs = to_epochs( - ppg, events, sfreq=75, apply_baseline=-1, reject=reject, verbose=True + """Test ppg_peaks function""" + # Load dataset + ecg_df = import_dataset1(modalities=["ECG", "Stim"]) + + triggers_idx = [ + np.where(ecg_df.stim.to_numpy() == 2)[0], + np.where(ecg_df.stim.to_numpy() == 1)[0], + ] + signal = ecg_df.ecg.to_numpy() + + # Using event idx + epoch, rejected = to_epochs(signal=signal, triggers_idx=triggers_idx) + assert len(epoch) == 2 + assert len(rejected) == 2 + assert epoch[0].mean() == 0.047150987567323624 + assert rejected[0].mean() == 0.0 + + # Using event triggers + epoch, rejected = to_epochs( + signal=signal, + triggers=ecg_df.stim.to_numpy(), + event_val=2, + apply_baseline=(-1.0, 0.0), ) - with pytest.raises(ValueError): - epochs = to_epochs(ppg[1:], events, sfreq=75) + assert epoch[0].mean() == 0.008389195914220333 + assert rejected[0].mean() == 0.0 + + # Using a rejection vector + reject = np.zeros(len(signal)) + reject[768285:] = 1 + epoch, rejected = to_epochs( + signal=signal, + triggers=ecg_df.stim.to_numpy(), + event_val=2, + apply_baseline=(-1.0, 0.0), + reject=reject, + ) + assert len(epoch[0]) == 0 + assert rejected[0].mean() == 1 def test_simulate_rr(self): - """Test oxi_peaks function""" + """Test ppg_peaks function""" rr = simulate_rr(artefacts=True) assert isinstance(rr, np.ndarray) assert len(rr) == 350 - def test_to_rr(self): + def test_input_conversion(self): + + # Load example PPG signal ppg = import_ppg().ppg.to_numpy() - signal, peaks = oxi_peaks(ppg) - rr = to_rr(peaks) - assert rr.mean() == 874.2068965517242 - rr = to_rr(np.where(peaks)[0]) - assert rr.mean() == 874.2068965517242 + _, peaks = ppg_peaks(ppg) + + # input_type = "peaks" + rr_ms = input_conversion(peaks, input_type="peaks", output_type="rr_ms") + rr_s = input_conversion(peaks, input_type="peaks", output_type="rr_s") + peaks_idx = input_conversion(peaks, input_type="peaks", output_type="peaks_idx") + assert rr_ms.mean() == rr_s.mean() * 1000 + assert rr_ms.mean() == np.diff(peaks_idx).mean() + + # input_type = "peaks_idx" + pks_idx = np.where(peaks)[0] + rr_ms = input_conversion(pks_idx, input_type="peaks_idx", output_type="rr_ms") + rr_s = input_conversion(pks_idx, input_type="peaks_idx", output_type="rr_s") + pks = input_conversion(pks_idx, input_type="peaks_idx", output_type="peaks") + assert rr_ms.mean() == rr_s.mean() * 1000 + assert rr_ms.mean() == np.diff(np.where(pks)[0]).mean() + + # input_type = "rr_ms" + rr_ms = np.diff(np.where(peaks)[0]) + pks = input_conversion(rr_ms, input_type="rr_ms", output_type="peaks") + rr_s = input_conversion(rr_ms, input_type="rr_ms", output_type="rr_s") + peaks_idx = input_conversion(rr_ms, input_type="rr_ms", output_type="peaks_idx") + assert np.diff(np.where(pks)[0]).mean() == rr_s.mean() * 1000 + assert rr_s.mean() * 1000 == np.diff(peaks_idx).mean() + + # input_type = "rr_s" + rr_s = np.diff(np.where(peaks)[0]) / 1000 + pks = input_conversion(rr_s, input_type="rr_s", output_type="peaks") + rr_ms = input_conversion(rr_s, input_type="rr_s", output_type="rr_ms") + peaks_idx = input_conversion(rr_s, input_type="rr_s", output_type="peaks_idx") + assert np.diff(np.where(pks)[0]).mean() == rr_ms.mean() + assert rr_ms.mean() == np.diff(peaks_idx).mean() if __name__ == "__main__": diff --git a/systole/utils.py b/systole/utils.py index a0324fba..bce451ce 100644 --- a/systole/utils.py +++ b/systole/utils.py @@ -7,18 +7,18 @@ def norm_triggers( - x: Union[List, np.ndarray], + triggers: Union[List, np.ndarray], threshold: int = 1, n: int = 5, direction: str = "higher", ) -> Union[List, np.ndarray]: - """Turns noisy triggers into boolean. + """Turns noisy triggers into boolean vecor. Keep the first trigger and set to 0 the n following values. Parameters ---------- - x : np.ndarray or list + triggers : np.ndarray or list The triggers to convert. threshold : float Threshold for triggering values. Default is 1. @@ -33,13 +33,12 @@ def norm_triggers( y : np.ndarray The filterd triggers array. """ - if not isinstance(x, np.ndarray): - raise ValueError("x must be a Numpy array") + triggers = np.asarray(triggers) if direction == "higher": - y = x >= threshold + y = triggers >= threshold elif direction == "lower": - y = x <= threshold + y = triggers <= threshold else: raise ValueError("Invalid direction") @@ -50,7 +49,7 @@ def norm_triggers( y[i + 1 :] = False else: y[i + 1 : i + n + 1] = False - return y + return y.astype("bool") def time_shift( @@ -61,9 +60,9 @@ def time_shift( Parameters ---------- x : np.ndarray or list - Timing of reference events. + Timing of the baseline events. events : np.ndarray or list - Timing of events of heartrateest. + Timing of events of interest. order : str Consider event occurung before of after baseline. Default is 'after'. @@ -79,7 +78,7 @@ def time_shift( lag = [] for e in events: - # Find the closest reference before the event of heartrateest + # Find the closest reference before the event of interest r = x[x < e].max() # Event timing lag.append(e - r) @@ -88,21 +87,33 @@ def time_shift( def heart_rate( - x: Union[List, np.ndarray], sfreq: int = 1000, unit: str = "rr", kind: str = "cubic" + x: Union[List, np.ndarray], + sfreq: int = 1000, + unit: str = "rr", + kind: str = "cubic", + input_type: str = "peaks", ) -> Tuple[np.ndarray, np.ndarray]: - """Transform peaks data into heart rate time series. + """Transform peaks data or RR intervals into continuous heart rate time series. Parameters ---------- x : np.ndarray or list - Boolean vector of peaks detection. + Boolean vector of peaks detection or RR intervals. sfreq : int - Sampling frequency. + The sampling frequency of the desired output. unit : str - The heartrate unit in use. Can be 'rr' (R-R intervals, in ms) - or 'bpm' (beats per minutes). Default is 'rr'. + The heart rate unit in use. Can be `'rr'` (R-R intervals, in ms) + or `'bpm'` (beats per minutes). Default is `'rr'`. kind : str - The method to use (parameter of `scipy.interpolate.interp1d`). + The method to use (parameter of `scipy.interpolate.interp1d`). The + possible relevant methods for instantaneous heart rate are `'cubic'` + (defalut), `'linear'`, `'previous'` and `'next'`. + input_type : str + The type of input vector. Default is `"peaks"` (a boolean vector where + `1` represents the occurrence of R waves or systolic peaks). + Can also be `"rr_s"` or `"rr_ms"` for vectors of RR intervals, or + interbeat intervals (IBI), expressed in seconds or milliseconds + (respectively). Returns ------- @@ -111,35 +122,87 @@ def heart_rate( time : np.ndarray Time array. + Examples + -------- + 1. From a boolean vector of peaks position: + + >>> from systole import import_ppg + >>> ppg = import_ppg().ppg.to_numpy() # Import PPG recording + >>> _, peaks = ppg_peaks(ppg) # Find systolic peaks + >>> heartrate, time = heart_rate(peaks) # Create continuous time series + + 2. From a vector of RR intervals (miliseconds): + >>> from systole import import_rr + >>> rr = import_rr().rr.values + >>> heartrate, time = heart_rate(rr, unit="bpm", input_type="rr_ms") + Notes ----- - The input should be in the form of a boolean vector encoding the position - of the peaks. The time and heart rate output will have the same - length. Values before the first peak and after the last peak will be filled - with NaN values. + If the input is in the `peaks` format, it should be a boolean vector + encoding the position of R wave, or systolic peaks. + + If it is in the form of RR intervals, it can be expressed in seconds or + milliseconds, using `rr_s` and `rr_ms` parameters, respectively. + + The time and heart rate output will have the same length. Values before + the first peak and after the last peak will be filled with NaN values. """ - if isinstance(x, list): - x = np.asarray(x) - if not ((x == 1) | (x == 0)).all(): - raise ValueError("Input vector should only contain 0 and 1") + x = np.asarray(x) + + # A peaks vector + if input_type == "peaks": + if ((x == 1) | (x == 0)).all(): + + # Find peak indices + peaks_idx = np.where(x)[0] - # Find peak indices - peaks_idx = np.where(x)[0] + time = (peaks_idx / sfreq)[1:] # Create time vector (seconds) + + rr = np.diff(peaks_idx) + + # Use the peaks vector as time input + new_time = np.arange(0, len(x) / sfreq, 1 / sfreq) + + else: + raise ValueError("Input vector should only contain 0 and 1") - # Create time vector (seconds): - time = (peaks_idx / sfreq)[1:] + # A vector of peaks indexs + elif input_type == "peaks_idx": + if (np.diff(x) > 0).all(): - rr = np.diff(peaks_idx) + time = (x / sfreq)[1:] # Create time vector (seconds) - # R-R heartratevals (in miliseconds) + rr = np.diff(x) + + # Use the peaks vector as time input + new_time = np.arange(0, time[-1], 1 / sfreq) + + else: + raise ValueError("Input vector should only contain increasing integers") + + # A vector of RR intervals + elif input_type == "rr_s": + if (x > 0).all(): + time = np.cumsum(x) # Create time vector (seconds) + rr = x * 1000 + new_time = np.arange(0, time[-1], 1 / sfreq) + else: + raise ValueError("RR intervals cannot be less than 0") + + elif input_type == "rr_ms": + if (x > 0).all(): + time = np.cumsum(x) / 1000 # Create time vector (seconds) + rr = x + new_time = np.arange(0, time[-1], 1 / sfreq) + else: + raise ValueError("RR intervals cannot be less than 0") + + # R-R intervals (in miliseconds) heartrate = (rr / sfreq) * 1000 if unit == "bpm": # Beats per minutes heartrate = 60000 / heartrate - # Use the peaks vector as time input - new_time = np.arange(0, len(x) / sfreq, 1 / sfreq) - if kind is not None: # Interpolate f = interp1d( @@ -196,98 +259,169 @@ def to_angles( def to_epochs( - x: Union[List, np.ndarray], - events: Union[List, np.ndarray], + signal: Union[List, np.ndarray], + triggers: Optional[Union[List, np.ndarray]] = None, + triggers_idx: Optional[Union[List, np.ndarray]] = None, sfreq: int = 1000, tmin: float = -1.0, tmax: float = 10.0, event_val: int = 1, - apply_baseline: Optional[Union[int, Tuple]] = 0, + apply_baseline: Optional[Union[float, Tuple[float, float]]] = 0.0, verbose: bool = False, reject: Optional[np.ndarray] = None, -) -> np.ndarray: - """Epoch signal based on events indices. +) -> Tuple[List[np.ndarray], List[np.ndarray]]: + """Epoch signal based on event triggers. Parameters ---------- - x : 1darray-like or list - An instance of Raw - events : 1d array-like - The boolean indices of the events, shape (times*sfreq, 1) + signal : np.ndarray | list + The raw signal that should be epoched. The first dimension is time and should match + with `len(triggers)` if `triggers` is provided. If `triggers_idx` is provided, + `np.max(triggers_idx)` should be less than `signal.shape[0]`. + triggers : np.ndarray | list + The boolean indices of the events, shape=(times*sfreq, 1). + triggers_idx : np.ndarray | list + Trigger indexes. Each value encode the sample where an event occured (see + also `sfreq`). Different conditions should be provided separately as list of + arrays (can have different lenght). sfreq : int The sampling frequency (default is 1000 Hz). tmin : float - Start time before event, in seconds, default is -1. + Start time before event, in seconds, default is `-1.0`. tmax : float - End time after event, in seconds, defautl is 10. + End time after event, in seconds, defautl is `10.0`. event_val : int - The index of event of interest. Default is *1*. - apply_baseline : int, tuple or None - If int or tuple, use the point or interval to apply a baseline (method: - mean). If *None*, no baseline is applied. + The index of event of interest. Default is `1`. Only relevant if `triggers` is + not `None`. + apply_baseline : float | tuple | None + If int or tuple, use the point or interval to apply a baseline + (method: mean). If `None`, no baseline is applied. Default is set to `0`. verbose : boolean If True, will return warnings if epoc are droped. - reject : np.ndarray or None + reject : np.ndarray | None Segments of the signal that should be rejected. Returns ------- - epochs : 2d array-like - Event * Time array. + epochs : list + List of (n Tials * Time) array. + reject : list + List of rejected trials for each condition. + + Examples + -------- + + # Load dataset + + >>> ecg_df = import_dataset1(modalities=['ECG', 'Stim']) + + >>> triggers_idx = [ + >>> np.where(ecg_df.stim.to_numpy() == 2)[0], + >>> np.where(ecg_df.stim.to_numpy() == 1)[0] + >>> ] + >>> signal = ecg_df.ecg.to_numpy() + + # Using event idx + + >>> epoch, rejected = to_epochs(signal=signal, triggers_idx=triggers_idx) + + # Using event triggers + + >>> epoch, rejected = to_epochs(signal=signal, triggers=ecg_df.stim.to_numpy(), + >>> event_val=2, apply_baseline=(-1.0, 0.0)) + + # Using a rejection vector + >>> reject = np.zeros(len(signal)) + >>> reject[768285:] = 1 # Reject the second part of the recording + >>> epoch, rejected = to_epochs( + >>> signal=signal, triggers=ecg_df.stim.to_numpy(), event_val=2, + >>> apply_baseline=(-1.0, 0.0), reject=reject + >>> ) + """ - if len(x) != len(events): - raise ValueError( - """The length of the event and signal vector - shoul match exactly""" - ) # To numpy array - if isinstance(x, list): - x = np.asarray(x) - if isinstance(events, list): - events = np.asarray(events) - - # From boolean to event indices - events = np.where(events == event_val)[0] + signal = np.asarray(signal) + + # Create a list of triggers_idx arays and check that + # the lengths are compatible with the signal array + if triggers is not None: + if isinstance(triggers, np.ndarray): + triggers = [triggers] + triggers_idx = [] + for tr in triggers: + if signal.shape[0] != tr.shape[0]: + raise ValueError( + """The length of the event and signal vector shoul match.""" + ) + triggers_idx.append(np.where(tr == event_val)[0]) # Find idx of events - # Bads array + else: + if triggers_idx is None: + raise ValueError("""No triggers or triggers_idx provided.""") + if isinstance(triggers_idx, np.ndarray): + triggers_idx = [triggers_idx] + for tr_idx in triggers_idx: + if np.max(tr_idx) > signal.shape[0]: + raise ValueError( + """The triggers_idx array contains values that are greater that the signal length.""" + ) + + # Create a default bad array if not already provided if reject is None: - reject = np.zeros(len(x)) - - rejected = 0 - epochs = np.zeros(shape=(len(events), int((np.abs(tmin) + np.abs(tmax)) * sfreq))) - for i, ev in enumerate(events): - - # Security check (epochs is not outside signal limits) - if (ev + round(tmin * sfreq) < 0) | (ev + round(tmax * sfreq) > len(x)): - if verbose is True: - print("Drop 1 epoch due to signal limits.") - rejected += 1 - epochs[i, :] = np.nan - - # Security check (trial contain bad peak) - elif np.any(reject[ev + round(tmin * sfreq) : ev + round(tmax * sfreq)]): - if verbose is True: - print("Drop 1 epoch due to artefact.") - rejected += 1 - epochs[i, :] = np.nan - else: - trial = x[ev + round(tmin * sfreq) : ev + round(tmax * sfreq)] + reject = np.zeros(len(signal), dtype="bool") + + # Initialize counters + n_rejected, n_outside_signal = 0, 0 + + # How many sample to epoch before and after triggers + this_min, this_max = round(tmin * sfreq), round(tmax * sfreq) + + all_epochs, all_rejected = [], [] + # Loop across conditions + for this_triggers_idx in triggers_idx: + + epochs, rejected = [], [] + # Loop across events + for ev in this_triggers_idx: + + # Check that the epoch is not outside the signal range + if (ev + this_min < 0) | (ev + this_max > len(signal)): + n_outside_signal += 1 + rejected.append(True) + continue + + # Check if the signal contains an artefact + if np.any(reject[ev + this_min : ev + this_max]): + n_rejected += 1 + rejected.append(True) + continue + + # If no problem, store the array in the epoch list + trial = signal[ev + this_min : ev + this_max] if apply_baseline is None: - epochs[i, :] = trial + epochs.append(trial) else: - if isinstance(apply_baseline, int): - baseline = x[ev + round(apply_baseline * sfreq)] + if isinstance(apply_baseline, float): + baseline = signal[ev + round(apply_baseline * sfreq)] if isinstance(apply_baseline, tuple): low = ev + round(apply_baseline[0] * sfreq) high = ev + round(apply_baseline[1] * sfreq) - baseline = x[low:high].mean() - epochs[i, :] = trial - baseline + baseline = signal[low:high].mean() + epochs.append(trial - baseline) + rejected.append(False) + + # Append to the condition level + all_epochs.append(np.array(epochs)) + all_rejected.append(np.asarray(rejected)) # Print % of rejected items - if (rejected > 0) & (verbose is True): - print(str(rejected) + " trial(s) droped due to inconsistent recording") + if (n_rejected > 0) & (verbose is True): + print(str(n_rejected) + " trial(s) droped due to artefacts") + if (n_outside_signal > 0) & (verbose is True): + print(str(n_outside_signal) + " trial(s) droped due to signal range") - return epochs + # Return list of epochs and rejected arrays + return all_epochs, all_rejected def simulate_rr( @@ -319,9 +453,9 @@ def simulate_rr( ectopic2_idx : list Index of ectopic interval. Default is [300]. random_state : int - Random state. Default is *42*. + Random state. Default is `42`. artefacts : bool - If True, simulate artefacts in the signal. + If `True`, simulate artefacts in the signal. Returns ------- @@ -421,28 +555,105 @@ def to_neighbour( return new_peaks -def to_rr(peaks: Union[List[float], np.ndarray], sfreq: int = 1000) -> np.ndarray: - """Convert peaks index to intervals time series (RR, beat-to-beat...). +def input_conversion( + x: Union[List[float], np.ndarray], + input_type: str, + output_type: str, + sfreq: int = 1000, +) -> np.ndarray: + """Convert input time series to the desired output format. + + This function is called by functions to convert time series to a different format. + The input and outputs can be: + * `peaks`: a boolean vector where `1` denote the detection of an event in the + time-series. + * `peaks_idx`: a 1d NumPy array of integers where each item is the sample index + of an event in the time series. + * `rr_ms`: a 1d NumPy array (integers or floats) of RR /peak-to-peak intervals + in milliseconds. + * `rr_s`: a 1d NumPy array (integers or floats) of RR /peak-to-peak intervals + in seconds. Parameters ---------- - peaks : np.ndarray or list - Either a boolean array or sample index. Default is *boolean*. If the - input array does not only contain 0 or 1, will automatically try sample - index. + x : np.ndarray or list + The input time series. + input_type : str + The type of input provided (can be `"peaks"`, `"peaks_idx"`, `"rr_ms"`, + `"rr_s"`). + output_type : str + The type of desired output (can be `"peaks"`, `"peaks_idx"`, `"rr_ms"`, + `"rr_s"`). sfreq : int - The sampling frequency (default is 1000 Hz). + The sampling frequency (default is 1000 Hz). Only applies when `iput_type` is + `"peaks"` or `"peaks_idx"`. Returns ------- - rr : np.ndarray - Interval time series (in miliseconds). + output : np.ndarray + The time series converted to the desired format. """ - if isinstance(peaks, list): - peaks = np.asarray(peaks) - if ((peaks == 1) | (peaks == 0)).all(): - rr = (np.diff(np.where(peaks)[0]) / sfreq) * 1000 + + if output_type not in ["peaks", "peaks_idx", "rr_ms", "rr_s"]: + raise ValueError("Invalid output type.") + + if input_type == output_type: + raise ValueError("Input type and output type are the same.") + + x = np.asarray(x) + + if input_type == "peaks": + if ((x == 1) | (x == 0)).all(): + if output_type == "rr_ms": + output = (np.diff(np.where(x)[0]) / sfreq) * 1000 + elif output_type == "rr_s": + output = np.diff(np.where(x)[0]) / sfreq + elif output_type == "peaks_idx": + output = np.where(x)[0] + else: + raise ValueError("The peaks vector should only contain boolean values.") + + elif input_type == "peaks_idx": + if (np.diff(x) > 0).all() & (np.rint(x) == x).all(): + if output_type == "rr_ms": + output = (np.diff(x) / sfreq) * 1000 + elif output_type == "rr_s": + output = np.diff(x) / sfreq + elif output_type == "peaks": + output = np.zeros(x[-1] + 1, dtype=bool) + output[x] = True + else: + raise ValueError("Invalid peaks index provided.") + + elif input_type == "rr_ms": + if (x > 0).all(): + if output_type == "rr_s": + output = x / 1000 + elif output_type == "peaks": + output = np.zeros(np.sum(x) + 1, dtype=bool) + output[np.cumsum(x)] = True + output[0] = True + elif output_type == "peaks_idx": + output = np.cumsum(x) + output = np.insert(output, 0, 0) + else: + raise ValueError("Invalid intervals provided.") + + elif input_type == "rr_s": + if (x > 0).all(): + if output_type == "rr_ms": + output = x * 1000 + elif output_type == "peaks": + output = np.zeros(np.sum(x * 1000).astype(int) + 1, dtype=bool) + output[np.cumsum(x * 1000).astype(int)] = True + output[0] = True + elif output_type == "peaks_idx": + output = np.cumsum(x * 1000).astype(int) + output = np.insert(output, 0, 0) + else: + raise ValueError("Invalid intervals provided.") + else: - rr = (np.diff(peaks) / sfreq) * 1000 + raise ValueError("Invalid input type.") - return rr + return output