{ "cells": [ { "cell_type": "markdown", "id": "28251b50", "metadata": {}, "source": [ "(correcting_artefacts)=\n", "# Detecting and correcting artefacts\n", "Author: Nicolas Legrand " ] }, { "cell_type": "code", "execution_count": 1, "id": "fe14b5b4", "metadata": { "execution": { "iopub.execute_input": "2025-04-07T06:28:51.240851Z", "iopub.status.busy": "2025-04-07T06:28:51.240656Z", "iopub.status.idle": "2025-04-07T06:28:51.246793Z", "shell.execute_reply": "2025-04-07T06:28:51.245596Z" }, "tags": [ "hide-input" ] }, "outputs": [], "source": [ "%%capture\n", "import sys\n", "\n", "if \"google.colab\" in sys.modules:\n", " !pip install systole" ] }, { "cell_type": "code", "execution_count": 2, "id": "52705253", "metadata": { "execution": { "iopub.execute_input": "2025-04-07T06:28:51.250255Z", "iopub.status.busy": "2025-04-07T06:28:51.250030Z", "iopub.status.idle": "2025-04-07T06:28:52.929490Z", "shell.execute_reply": "2025-04-07T06:28:52.928632Z" } }, "outputs": [ { "data": { "text/html": [ " \n", "
\n", " \n", " Loading BokehJS ...\n", "
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\\n\"+\n \"

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\\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(error = null) {\n const el = document.getElementById(\"ea4bd882-9952-4031-acea-7422f99486a8\");\n if (el != null) {\n const html = (() => {\n if (typeof root.Bokeh === \"undefined\") {\n if (error == null) {\n return \"BokehJS is loading ...\";\n } else {\n return \"BokehJS failed to load.\";\n }\n } else {\n const prefix = `BokehJS ${root.Bokeh.version}`;\n if (error == null) {\n return `${prefix} successfully loaded.`;\n } else {\n return `${prefix} encountered errors while loading and may not function as expected.`;\n }\n }\n })();\n el.innerHTML = html;\n\n if (error != null) {\n const wrapper = document.createElement(\"div\");\n wrapper.style.overflow = \"auto\";\n wrapper.style.height = \"5em\";\n wrapper.style.resize = \"vertical\";\n const content = document.createElement(\"div\");\n content.style.fontFamily = \"monospace\";\n content.style.whiteSpace = \"pre-wrap\";\n content.style.backgroundColor = \"rgb(255, 221, 221)\";\n content.textContent = error.stack ?? 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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": "6463cfe7", "metadata": { "execution": { "iopub.execute_input": "2025-04-07T06:28:52.932409Z", "iopub.status.busy": "2025-04-07T06:28:52.932033Z", "iopub.status.idle": "2025-04-07T06:28:55.431653Z", "shell.execute_reply": "2025-04-07T06:28:55.430847Z" } }, "outputs": [], "source": [ "# Import ECg recording\n", "ecg_df = import_dataset1(modalities=[\"ECG\", \"Stim\"], disable=True)\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=signal, method=\"sleepecg\", 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": "25966d73", "metadata": {}, "source": [ "Following {cite:p}`2019:lipponen`, 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": "602385ac", "metadata": {}, "source": [ "## Artefacts detection\n", "[Systole](https://LegrandNico.github.io/systole/#) implements artefact detection based on adaptive thresholding of first and second derivatives of the R-R interval time series (see {cite:p}`2019:lipponen` 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": "3488ac43", "metadata": { "execution": { "iopub.execute_input": "2025-04-07T06:28:55.436299Z", "iopub.status.busy": "2025-04-07T06:28:55.435148Z", "iopub.status.idle": "2025-04-07T06:28:55.651610Z", "shell.execute_reply": "2025-04-07T06:28:55.650675Z" } }, "outputs": [ { "data": { "text/html": [ "\n", "
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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": "p1459" } }, "output_type": "display_data" } ], "source": [ "show(\n", " plot_raw(\n", " signal, backend=\"bokeh\", show_artefacts=True, show_heart_rate=True, figsize=300\n", " )\n", ")" ] }, { "cell_type": "markdown", "id": "8952e231", "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": "8079928f", "metadata": {}, "source": [ "## Artefact correction" ] }, { "cell_type": "markdown", "id": "304105cf", "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": "4ee1f84f", "metadata": {}, "source": [ "### Correcting atefacts in RR time series" ] }, { "cell_type": "markdown", "id": "8694775e", "metadata": {}, "source": [ "```{note}\n", "See also the example `Detecting and correcting artefacts in RR time series` in the example gallery.\n", "```\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": "5f74e6a6", "metadata": { "execution": { "iopub.execute_input": "2025-04-07T06:28:56.532668Z", "iopub.status.busy": "2025-04-07T06:28:56.532239Z", "iopub.status.idle": "2025-04-07T06:28:56.540638Z", "shell.execute_reply": "2025-04-07T06:28:56.539682Z" } }, "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": "e15da5b6", "metadata": {}, "source": [ "#### Creating artefacts" ] }, { "cell_type": "markdown", "id": "8c81d601", "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": "856fef18", "metadata": { "execution": { "iopub.execute_input": "2025-04-07T06:28:56.543153Z", "iopub.status.busy": "2025-04-07T06:28:56.542912Z", "iopub.status.idle": "2025-04-07T06:28:56.549187Z", "shell.execute_reply": "2025-04-07T06:28:56.548163Z" } }, "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": "589bc166", "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": "041bd841", "metadata": { "execution": { "iopub.execute_input": "2025-04-07T06:28:56.551974Z", "iopub.status.busy": "2025-04-07T06:28:56.551735Z", "iopub.status.idle": "2025-04-07T06:28:56.732534Z", "shell.execute_reply": "2025-04-07T06:28:56.731635Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "BokehDeprecationWarning: 'square() method' was deprecated in Bokeh 3.4.0 and will be removed, use \"scatter(marker='square', ...) instead\" instead.\n" ] }, { "data": { "text/html": [ "\n", "
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%Y\",\"seconds\":\"\",\"minsec\":\"\",\"minutes\":\"\",\"hourmin\":\"\",\"hours\":\"\",\"days\":\"\",\"months\":\"\",\"years\":\"\",\"boundary_scaling\":false,\"hide_repeats\":true}},\"context_which\":\"all\"}},\"context_which\":\"all\"}},\"major_label_policy\":{\"type\":\"object\",\"name\":\"AllLabels\",\"id\":\"p1634\"}}}],\"center\":[{\"type\":\"object\",\"name\":\"Grid\",\"id\":\"p1635\",\"attributes\":{\"axis\":{\"id\":\"p1617\"}}}],\"background_fill_color\":\"#efefef\"}}]}}]}};\n", " const render_items = [{\"docid\":\"9cd48821-b87b-45ce-b7b4-de28aa5303e7\",\"roots\":{\"p1658\":\"e2021c28-4edf-46fd-93c7-5b622de2ea30\"},\"root_ids\":[\"p1658\"]}];\n", " void root.Bokeh.embed.embed_items_notebook(docs_json, render_items);\n", " }\n", " if (root.Bokeh !== undefined) {\n", " embed_document(root);\n", " } else {\n", " let attempts = 0;\n", " const 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": "p1658" } }, "output_type": "display_data" } ], "source": [ "show(\n", " plot_rr(\n", " corrupted_rr,\n", " input_type=\"rr_ms\",\n", " show_artefacts=True,\n", " line=False,\n", " backend=\"bokeh\",\n", " figsize=300,\n", " )\n", ")" ] }, { "cell_type": "markdown", "id": "31b14898", "metadata": {}, "source": [ "#### Correcting artefacts" ] }, { "cell_type": "markdown", "id": "31e21885", "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." ] }, { "cell_type": "code", "execution_count": 9, "id": "2e333160", "metadata": { "execution": { "iopub.execute_input": "2025-04-07T06:28:56.736064Z", "iopub.status.busy": "2025-04-07T06:28:56.735771Z", "iopub.status.idle": "2025-04-07T06:29:04.728751Z", "shell.execute_reply": "2025-04-07T06:29:04.727658Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Cleaning the RR interval time series.\n", "... correcting 43 missed interval(s).\n", "... correcting 12 ectopic interval(s).\n", "... correcting 49 short interval(s).\n", "... correcting 4 long interval(s).\n" ] } ], "source": [ "corrected_rr, _ = correct_rr(corrupted_rr)" ] }, { "cell_type": "markdown", "id": "255864da", "metadata": {}, "source": [ "Let's now have a look at the corrected RR time series." ] }, { "cell_type": "code", "execution_count": 10, "id": "93be8acc", "metadata": { "execution": { "iopub.execute_input": "2025-04-07T06:29:04.731514Z", "iopub.status.busy": "2025-04-07T06:29:04.731257Z", "iopub.status.idle": "2025-04-07T06:29:04.916040Z", "shell.execute_reply": "2025-04-07T06:29:04.915347Z" } }, "outputs": [ { "data": { "text/html": [ "\n", "
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%d\",\"months\":\"%b %Y\",\"strip_leading_zeros\":[\"microseconds\",\"milliseconds\",\"seconds\"],\"boundary_scaling\":false,\"context\":{\"type\":\"object\",\"name\":\"DatetimeTickFormatter\",\"id\":\"p1814\",\"attributes\":{\"microseconds\":\"%T\",\"milliseconds\":\"%T\",\"seconds\":\"%b %d, %Y\",\"minsec\":\"%b %d, %Y\",\"minutes\":\"%b %d, %Y\",\"hourmin\":\"%b %d, %Y\",\"hours\":\"%b %d, %Y\",\"days\":\"%Y\",\"months\":\"\",\"years\":\"\",\"boundary_scaling\":false,\"hide_repeats\":true,\"context\":{\"type\":\"object\",\"name\":\"DatetimeTickFormatter\",\"id\":\"p1813\",\"attributes\":{\"microseconds\":\"%b %d, %Y\",\"milliseconds\":\"%b %d, %Y\",\"seconds\":\"\",\"minsec\":\"\",\"minutes\":\"\",\"hourmin\":\"\",\"hours\":\"\",\"days\":\"\",\"months\":\"\",\"years\":\"\",\"boundary_scaling\":false,\"hide_repeats\":true}},\"context_which\":\"all\"}},\"context_which\":\"all\"}},\"major_label_policy\":{\"type\":\"object\",\"name\":\"AllLabels\",\"id\":\"p1816\"}}}],\"center\":[{\"type\":\"object\",\"name\":\"Grid\",\"id\":\"p1817\",\"attributes\":{\"axis\":{\"id\":\"p1799\"}}}],\"background_fill_color\":\"#efefef\"}}]}}]}};\n", " const render_items = [{\"docid\":\"e1897611-088e-4537-8990-75775d9c88ee\",\"roots\":{\"p1840\":\"e0b15877-cfa7-4127-921f-4b88e54f4e94\"},\"root_ids\":[\"p1840\"]}];\n", " void root.Bokeh.embed.embed_items_notebook(docs_json, render_items);\n", " }\n", " if (root.Bokeh !== undefined) {\n", " embed_document(root);\n", " } else {\n", " let attempts = 0;\n", " const 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": "p1840" } }, "output_type": "display_data" } ], "source": [ "show(\n", " plot_rr(\n", " corrected_rr,\n", " input_type=\"rr_ms\",\n", " backend=\"bokeh\",\n", " show_artefacts=True,\n", " line=False,\n", " figsize=300,\n", " )\n", ")" ] }, { "cell_type": "markdown", "id": "3e79906d", "metadata": {}, "source": [ "#### Visualization of the correction quality" ] }, { "cell_type": "markdown", "id": "9abaf9b1", "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": "1fa10e6d", "metadata": { "execution": { "iopub.execute_input": "2025-04-07T06:29:04.918333Z", "iopub.status.busy": "2025-04-07T06:29:04.918132Z", "iopub.status.idle": "2025-04-07T06:29:05.631963Z", "shell.execute_reply": "2025-04-07T06:29:05.630918Z" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "_, axs = plt.subplots(1, 3, figsize=(18, 6), sharey=True)\n", "for i, rr, lab in zip(\n", " range(3),\n", " [rr_ms, corrupted_rr, corrected_rr],\n", " [\"Original\", \"Corrupted\", \"Corrected\"],\n", "):\n", " plot_frequency(rr, input_type=\"rr_ms\", ax=axs[i])\n", " axs[i].set_title(lab)" ] }, { "cell_type": "markdown", "id": "1dd8720e", "metadata": {}, "source": [ "### Correcting artefacts in peaks vector" ] }, { "cell_type": "markdown", "id": "ea5128e8", "metadata": {}, "source": [ "```{note}\n", "See also the exxample `Detecting and correcting artefacts in RR time series` in the example gallery.\n", "```\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": "ec43a8ae", "metadata": {}, "source": [ "#### Creating artefacts" ] }, { "cell_type": "code", "execution_count": 12, "id": "b3a5d8d0", "metadata": { "execution": { "iopub.execute_input": "2025-04-07T06:29:05.634852Z", "iopub.status.busy": "2025-04-07T06:29:05.634519Z", "iopub.status.idle": "2025-04-07T06:29:05.640061Z", "shell.execute_reply": "2025-04-07T06:29:05.639138Z" } }, "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": "6444f1af", "metadata": { "execution": { "iopub.execute_input": "2025-04-07T06:29:05.642488Z", "iopub.status.busy": "2025-04-07T06:29:05.642286Z", "iopub.status.idle": "2025-04-07T06:29:05.859640Z", "shell.execute_reply": "2025-04-07T06:29:05.858755Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "BokehDeprecationWarning: 'square() method' was deprecated in Bokeh 3.4.0 and will be removed, use \"scatter(marker='square', ...) instead\" instead.\n", "BokehDeprecationWarning: 'square() method' was deprecated in Bokeh 3.4.0 and will be removed, use \"scatter(marker='square', ...) instead\" instead.\n" ] }, { "data": { "text/html": [ "\n", "
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%Y\",\"seconds\":\"\",\"minsec\":\"\",\"minutes\":\"\",\"hourmin\":\"\",\"hours\":\"\",\"days\":\"\",\"months\":\"\",\"years\":\"\",\"boundary_scaling\":false,\"hide_repeats\":true}},\"context_which\":\"all\"}},\"context_which\":\"all\"}},\"major_label_policy\":{\"type\":\"object\",\"name\":\"AllLabels\",\"id\":\"p2023\"}}}],\"center\":[{\"type\":\"object\",\"name\":\"Grid\",\"id\":\"p2024\",\"attributes\":{\"axis\":{\"id\":\"p2006\"}}}],\"background_fill_color\":\"#efefef\"}}]}}]}};\n", " const render_items = [{\"docid\":\"9ff13c85-2fce-4349-baab-d2b73328c927\",\"roots\":{\"p2047\":\"feccdee5-6ae6-4741-822f-95d837d6468e\"},\"root_ids\":[\"p2047\"]}];\n", " void root.Bokeh.embed.embed_items_notebook(docs_json, render_items);\n", " }\n", " if (root.Bokeh !== undefined) {\n", " embed_document(root);\n", " } else {\n", " let attempts = 0;\n", " const 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": "p2047" } }, "output_type": "display_data" } ], "source": [ "show(\n", " plot_rr(\n", " corrupted_peaks,\n", " input_type=\"peaks\",\n", " show_artefacts=True,\n", " line=False,\n", " backend=\"bokeh\",\n", " figsize=300,\n", " )\n", ")" ] }, { "cell_type": "markdown", "id": "4c45cc2d", "metadata": {}, "source": [ "#### Correcting artefacts" ] }, { "cell_type": "markdown", "id": "2efd2599", "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": "8bb0032c", "metadata": { "execution": { "iopub.execute_input": "2025-04-07T06:29:05.862181Z", "iopub.status.busy": "2025-04-07T06:29:05.861946Z", "iopub.status.idle": "2025-04-07T06:29:05.990330Z", "shell.execute_reply": "2025-04-07T06:29:05.989565Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Cleaning the peaks vector using 1 iterations.\n", " - Iteration 1 - \n", "... correcting 45 extra peak(s).\n", "... correcting 44 missed peak(s).\n" ] } ], "source": [ "peaks_correction = correct_peaks(corrupted_peaks)" ] }, { "cell_type": "code", "execution_count": 15, "id": "3c40a229", "metadata": { "execution": { "iopub.execute_input": "2025-04-07T06:29:05.992371Z", "iopub.status.busy": "2025-04-07T06:29:05.992180Z", "iopub.status.idle": "2025-04-07T06:29:06.214170Z", "shell.execute_reply": "2025-04-07T06:29:06.213185Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "BokehDeprecationWarning: 'square() method' was deprecated in Bokeh 3.4.0 and will be removed, use \"scatter(marker='square', ...) instead\" instead.\n", "BokehDeprecationWarning: 'square() method' was deprecated in Bokeh 3.4.0 and will be removed, use \"scatter(marker='square', ...) instead\" instead.\n" ] }, { "data": { "text/html": [ "\n", "
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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": "p2256" } }, "output_type": "display_data" } ], "source": [ "show(\n", " plot_rr(\n", " peaks_correction[\"clean_peaks\"],\n", " input_type=\"peaks\",\n", " show_artefacts=True,\n", " line=False,\n", " backend=\"bokeh\",\n", " figsize=300,\n", " )\n", ")" ] }, { "cell_type": "markdown", "id": "4e8d2e74", "metadata": {}, "source": [ "#### Visualization of the correction quality" ] }, { "cell_type": "markdown", "id": "f450804e", "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": "8d3fbef1", "metadata": { "execution": { "iopub.execute_input": "2025-04-07T06:29:06.216803Z", "iopub.status.busy": "2025-04-07T06:29:06.216532Z", "iopub.status.idle": "2025-04-07T06:29:06.222502Z", "shell.execute_reply": "2025-04-07T06:29:06.221551Z" } }, "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": "e231231c", "metadata": { "execution": { "iopub.execute_input": "2025-04-07T06:29:06.225183Z", "iopub.status.busy": "2025-04-07T06:29:06.224928Z", "iopub.status.idle": "2025-04-07T06:29:10.420050Z", "shell.execute_reply": "2025-04-07T06:29:10.419295Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/nicolas/git/systole/src/systole/plots/backends/matplotlib/plot_evoked.py:70: FutureWarning: \n", "\n", "The `ci` parameter is deprecated. Use `errorbar=('ci', 68)` for the same effect.\n", "\n", " sns.lineplot(data=epoch_df, x=\"Time\", y=\"heart_rate\", hue=\"Label\", ax=ax, **kwargs)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/home/nicolas/git/systole/src/systole/plots/backends/matplotlib/plot_evoked.py:70: FutureWarning: \n", "\n", "The `ci` parameter is deprecated. Use `errorbar=('ci', 68)` for the same effect.\n", "\n", " sns.lineplot(data=epoch_df, x=\"Time\", y=\"heart_rate\", hue=\"Label\", ax=ax, **kwargs)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/home/nicolas/git/systole/src/systole/plots/backends/matplotlib/plot_evoked.py:70: FutureWarning: \n", "\n", "The `ci` parameter is deprecated. Use `errorbar=('ci', 68)` for the same effect.\n", "\n", " sns.lineplot(data=epoch_df, x=\"Time\", y=\"heart_rate\", hue=\"Label\", ax=ax, **kwargs)\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "_, axs = plt.subplots(1, 3, figsize=(18, 6), sharey=True)\n", "plot_evoked(\n", " rr=corrupted_peaks,\n", " triggers_idx=triggers_idx,\n", " ci=68,\n", " input_type=\"peaks\",\n", " decim=100,\n", " apply_baseline=(-1.0, 0.0),\n", " figsize=(8, 8),\n", " labels=\"Uncorrected\",\n", " palette=[\"#c44e52\"],\n", " ax=axs[0],\n", ")\n", "plot_evoked(\n", " rr=peaks_correction[\"clean_peaks\"],\n", " triggers_idx=triggers_idx,\n", " ci=68,\n", " input_type=\"peaks\",\n", " decim=100,\n", " apply_baseline=(-1.0, 0.0),\n", " figsize=(8, 8),\n", " labels=\"Corrected\",\n", " ax=axs[1],\n", ")\n", "plot_evoked(\n", " rr=peaks,\n", " triggers_idx=triggers_idx,\n", " ci=68,\n", " palette=[\"#55a868\"],\n", " input_type=\"peaks\",\n", " decim=100,\n", " apply_baseline=(-1.0, 0.0),\n", " figsize=(8, 8),\n", " labels=\"Initial recording\",\n", " ax=axs[2],\n", ")\n", "plt.ylim(-20, 20);" ] }, { "cell_type": "markdown", "id": "8a67ca80", "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": "30b7859a", "metadata": {}, "source": [ "## Handling bad segments in the physiological recording\n", "\n", "In some situations, the physiological recording will contain one or many invalid segments in the middle of the recording. If those segments are longer than a few seconds, the peaks cannot be reliably estimated and most of the heart rate variability metrics will not be valid, even after applying the correction listed above. We can consider a bad segment when 3 or more consecutive beats cannot be detected, and using interpolation will cause more harm in this context. Such bad segments can be manually labelled using the Viewer (see {the section on how to use the Viewer}`viewer`).\n", "\n", "Most functions will let you provide `bad_segments` arguments and will try to handle the data accordingly. Using the same ECG recording as in the previous examples, we can annotate the raw plot by providing custom bad segment intervals (note that here the time stamps are in milliseconds)." ] }, { "cell_type": "code", "execution_count": 18, "id": "75d38db0-9b25-4e3f-a3b7-c6c90a1c29d7", "metadata": { "execution": { "iopub.execute_input": "2025-04-07T06:29:10.422172Z", "iopub.status.busy": "2025-04-07T06:29:10.421969Z", "iopub.status.idle": "2025-04-07T06:29:12.769728Z", "shell.execute_reply": "2025-04-07T06:29:12.768901Z" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_raw(\n", " signal=signal,\n", " show_heart_rate=True,\n", " figsize=(18, 6),\n", " bad_segments=[(600000, 660000), (1000000, 1200000)],\n", ")\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "id": "dd627eb6-aa7f-4d66-a763-594d4a03611d", "metadata": {}, "source": [ "Because most heart rate variability metrics require continuous interval time series, we cannot simply remove the invalid intervals and concatenate everything, we have to extract valid segments and compute the HRD indices from there. Systole comes with the:py:func`systole.utils.get_valid_segments()` function that will return the valid portion of the physiological recording, sorted according to the signal length." ] }, { "cell_type": "code", "execution_count": 19, "id": "161c2efc-9760-4c27-957a-4c9b7799b706", "metadata": { "execution": { "iopub.execute_input": "2025-04-07T06:29:12.772260Z", "iopub.status.busy": "2025-04-07T06:29:12.772023Z", "iopub.status.idle": "2025-04-07T06:29:13.241202Z", "shell.execute_reply": "2025-04-07T06:29:13.240433Z" } }, "outputs": [ { "data": { "text/plain": [ "[array([3.29986572, 3.26385498, 3.23852539, ..., 0.30670166, 0.30761719,\n", " 0.30670166]),\n", " array([-0.10986328, -0.10925293, -0.10406494, ..., 1.95007324,\n", " 2.0135498 , 2.05993652]),\n", " array([-0.09399414, -0.09033203, -0.09094238, ..., -0.10620117,\n", " -0.04974365, -0.03601074])]" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from systole.utils import get_valid_segments\n", "\n", "valids = get_valid_segments(\n", " signal=signal, bad_segments=[(600000, 660000), (1000000, 1200000)]\n", ")\n", "valids" ] }, { "cell_type": "markdown", "id": "a4fdb36b-e253-4ae7-95a1-b058d3030fce", "metadata": {}, "source": [ "```{note}\n", "Bad segments are represented either with a boolean vector of the same length that the input signal where `True` indicates a bad sample, or as a list of tuples such as (start_idx, end_idx). If this list contains overlapping intervals, they will automatically be merged before returning the valid portions.\n", "```\n", "\n", "The signals are automatically sorted according to their length so we can easily select the most representative portion of the valid signal." ] }, { "cell_type": "code", "execution_count": 20, "id": "2150285b-af8a-4834-8148-ebff9f333994", "metadata": { "execution": { "iopub.execute_input": "2025-04-07T06:29:13.243387Z", "iopub.status.busy": "2025-04-07T06:29:13.243141Z", "iopub.status.idle": "2025-04-07T06:29:13.248314Z", "shell.execute_reply": "2025-04-07T06:29:13.247647Z" } }, "outputs": [ { "data": { "text/plain": [ "[600000, 340000, 336570]" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "[len(sig) for sig in valids]" ] }, { "cell_type": "markdown", "id": "075a9586-43cf-4dad-bcff-466cbd2bd707", "metadata": {}, "source": [ "We can also provide the peaks vector directly and compute heart rate variability from the valid segments in this vector." ] }, { "cell_type": "code", "execution_count": 21, "id": "06d1486c-d088-4ce4-824b-ca68bea8548a", "metadata": { "execution": { "iopub.execute_input": "2025-04-07T06:29:13.250331Z", "iopub.status.busy": "2025-04-07T06:29:13.249937Z", "iopub.status.idle": "2025-04-07T06:29:13.773262Z", "shell.execute_reply": "2025-04-07T06:29:13.772433Z" } }, "outputs": [], "source": [ "valids = get_valid_segments(\n", " signal=peaks, bad_segments=[(600000, 660000), (1000000, 1200000)]\n", ")" ] }, { "cell_type": "code", "execution_count": 22, "id": "de253ffb-bd9f-42ef-b6a9-01c23ef6e57c", "metadata": { "execution": { "iopub.execute_input": "2025-04-07T06:29:13.775886Z", "iopub.status.busy": "2025-04-07T06:29:13.775680Z", "iopub.status.idle": "2025-04-07T06:29:14.063892Z", "shell.execute_reply": "2025-04-07T06:29:14.062987Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "_, axs = plt.subplots(1, 3, figsize=(18, 6), sharey=True)\n", "for i, valid_peaks in enumerate(valids):\n", " plot_frequency(rr=valid_peaks, input_type=\"peaks\", ax=axs[i])\n", " axs[i].set_title(f\"Valid segment number {i}\")" ] }, { "cell_type": "markdown", "id": "f1c2534f", "metadata": {}, "source": [ "# System configuration" ] }, { "cell_type": "code", "execution_count": 23, "id": "546906bb", "metadata": { "execution": { "iopub.execute_input": "2025-04-07T06:29:14.067083Z", "iopub.status.busy": "2025-04-07T06:29:14.066860Z", "iopub.status.idle": "2025-04-07T06:29:14.083972Z", "shell.execute_reply": "2025-04-07T06:29:14.083032Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Last updated: Mon Apr 07 2025\n", "\n", "Python implementation: CPython\n", "Python version : 3.13.2\n", "IPython version : 9.0.2\n", "\n", "systole: 0.0.0\n", "numba : 0.61.0\n", "\n", "systole : 0.0.0\n", "sys : 3.13.2 (main, Mar 11 2025, 17:25:02) [Clang 20.1.0 ]\n", "numpy : 2.1.3\n", "seaborn : 0.13.2\n", "matplotlib: 3.10.1\n", "bokeh : 3.7.2\n", "\n", "Watermark: 2.5.0\n", "\n" ] } ], "source": [ "%load_ext watermark\n", "%watermark -n -u -v -iv -w -p systole,numba" ] } ], "metadata": { "jupytext": { "formats": "ipynb,md:myst" }, "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": "3.13.2" }, "vscode": { "interpreter": { "hash": "40d3a090f54c6569ab1632332b64b2c03c39dcf918b08424e98f38b5ae0af88f" } } }, "nbformat": 4, "nbformat_minor": 5 }