diff --git a/01/CS480_Assignment_1.ipynb b/01/CS480_Assignment_1.ipynb new file mode 100644 index 0000000..ca38d28 --- /dev/null +++ b/01/CS480_Assignment_1.ipynb @@ -0,0 +1,794 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "name": "CS480 Assignment 1_Jenna.ipynb", + "provenance": [], + "collapsed_sections": [], + "include_colab_link": true + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + } + }, + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "view-in-github", + "colab_type": "text" + }, + "source": [ + "\"Open" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "asaW4NA0jK20" + }, + "source": [ + 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)\n", + "# Assignment 1\n" + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "Xv1Wc4ECfZwV", + "outputId": "2d8c7db5-16f6-4c2a-9a46-1d76b38905f8" + }, + "source": [ + "%pylab inline" + ], + "execution_count": 1, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Populating the interactive namespace from numpy and matplotlib\n" + ] + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "LD_A0Idy5NY0" + }, + "source": [ + "from scipy.misc import electrocardiogram # scipy is a python scientific computing library\n", + "ecg = electrocardiogram() # let's load the scipy ECG dataset" + ], + "execution_count": 2, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "id": "NFw0i1_4-ixY" + }, + "source": [ + "SAMPLING_RATE = 360 # this data was sampled with 360 Hz" + ], + "execution_count": 3, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "MXCidk9L_VG8" + }, + "source": [ + "**Task 1:** Plot the data in the range from 9 to 11 seconds! [30 Points]" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "s2n86tUP_pMZ" + }, + "source": [ + "# TODO your plotting code goes here\n", + "# please take the sampling rate into account to only plot the range\n", + "# between 9 and 11 seconds" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "firstsecond = ecg[0:SAMPLING_RATE] #the first 360 values of the ecg signal" + ], + "metadata": { + "id": "4DmjfWbPInXP" + }, + "execution_count": 4, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "secondsecond = ecg[1*SAMPLING_RATE:2*SAMPLING_RATE] #the 2nd second of the ecg signal" + ], + "metadata": { + "id": "6EtTbDUYIsbR" + }, + "execution_count": 5, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "thridsecond = ecg[2*SAMPLING_RATE:3*SAMPLING_RATE] #the 3nd second of the ecg signal" + ], + "metadata": { + "id": "PYjKwaHRIsVR" + }, + "execution_count": 6, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "plt.plot(thridsecond)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 283 + }, + "id": "jSekMLu_JCY6", + "outputId": "82dd27dc-eda4-4981-eb71-f80fd7661162" + }, + "execution_count": 7, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "[]" + ] + }, + "metadata": {}, + "execution_count": 7 + }, + { + "output_type": "display_data", + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "source": [ + "from9to11 = ecg[8*SAMPLING_RATE:11*SAMPLING_RATE]" + ], + "metadata": { + "id": "rlAWp105JURG" + }, + "execution_count": 8, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "plt.plot(from9to11)\n", + "plt.xlabel(\"Time [s]\")\n", + "plt.ylabel(\"ECG [v]\")" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 297 + }, + "id": "RJC0lqG-JsG1", + "outputId": "27f17d8d-6df2-4081-a7ac-20519a1dc0b9" + }, + "execution_count": 9, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "Text(0, 0.5, 'ECG [v]')" + ] + }, + "metadata": {}, + "execution_count": 9 + }, + { + "output_type": "display_data", + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "M7Y0hThdAGte" + }, + "source": [ + "**Task 2:** Use Neurokit to detect the R spikes! [30 Points]" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "uUlv03HQ6zmn" + }, + "source": [ + "# now can you see the P Q R S T waves? it's actually a pretty good signal despite\n", + "# the shift in the baseline" + ], + "execution_count": 10, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "CkvNQr36oFor", + "outputId": "65f4ea14-4ebe-4849-fa8a-03d794860299" + }, + "source": [ + "# we now need to install the neurokit2 library\n", + "!pip install neurokit2\n", + "import neurokit2 as nk" + ], + "execution_count": 11, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Collecting neurokit2\n", + " Downloading neurokit2-0.1.5-py2.py3-none-any.whl (1.1 MB)\n", + "\u001b[?25l\r\u001b[K |▎ | 10 kB 25.7 MB/s eta 0:00:01\r\u001b[K |▋ | 20 kB 30.2 MB/s eta 0:00:01\r\u001b[K |█ | 30 kB 36.5 MB/s eta 0:00:01\r\u001b[K |█▏ | 40 kB 26.3 MB/s eta 0:00:01\r\u001b[K |█▌ | 51 kB 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"Requirement already satisfied: pyparsing!=2.0.4,!=2.1.2,!=2.1.6,>=2.0.1 in /usr/local/lib/python3.7/dist-packages (from matplotlib->neurokit2) (3.0.7)\n", + "Requirement already satisfied: cycler>=0.10 in /usr/local/lib/python3.7/dist-packages (from matplotlib->neurokit2) (0.11.0)\n", + "Requirement already satisfied: python-dateutil>=2.1 in /usr/local/lib/python3.7/dist-packages (from matplotlib->neurokit2) (2.8.2)\n", + "Requirement already satisfied: six>=1.5 in /usr/local/lib/python3.7/dist-packages (from python-dateutil>=2.1->matplotlib->neurokit2) (1.15.0)\n", + "Requirement already satisfied: pytz>=2017.3 in /usr/local/lib/python3.7/dist-packages (from pandas->neurokit2) (2018.9)\n", + "Requirement already satisfied: joblib>=0.11 in /usr/local/lib/python3.7/dist-packages (from scikit-learn->neurokit2) (1.1.0)\n", + "Requirement already satisfied: threadpoolctl>=2.0.0 in /usr/local/lib/python3.7/dist-packages (from scikit-learn->neurokit2) (3.1.0)\n", + "Installing collected packages: neurokit2\n", + "Successfully installed neurokit2-0.1.5\n" + ] + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "2SyzFo7ZE3gM" + }, + "source": [ + "# we can use neurokit's function to detect the R spikes\n", + "_, rpeaks = nk.ecg_peaks(ecg, sampling_rate=SAMPLING_RATE)" + ], + "execution_count": 12, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "7eee64Di-Jvx", + "outputId": "cab741fb-de8c-4abb-8d2c-6ec9fa733c3f" + }, + "source": [ + "# look at rpeaks - the numbers indicate the samples that are R spikes\n", + "print(rpeaks['ECG_R_Peaks'][0:10]) # here only the first ten" + ], + "execution_count": 13, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "[ 125 343 552 748 944 1130 1317 1501 1691 1880]\n" + ] + } + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 265 + }, + "id": "Cok_u4AI-JyW", + "outputId": "4bd72756-c7bf-4c30-a241-d375b1a84ddb" + }, + "source": [ + "# you can also plot the first two detected R spikes\n", + "plot = nk.events_plot(rpeaks['ECG_R_Peaks'][0:2], ecg[0:SAMPLING_RATE])" + ], + "execution_count": 14, + "outputs": [ + { + "output_type": "display_data", + "data": { + "image/png": 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3z9/0hO3GjbBxI057cFcga3wphOisJsuHhPVvq6QsozLCV0r9A5gD5CulSoC7ASeA1vpx4G3gIqAYqAdujMb7isTSZD/bMI5gwPdpSIl1q4SIHleo9LjxSNZKEwujVaVzbTuPa+CH0XgvkbjcvkCTL0JQSnC9EYt8KYToLFfzBQIBp4WqdCx10lYkN7fXH3GELykdkSyCkwvTWozwkyilI0RHtEjpjB4NSMAXyaPJCN/s3w6bdUb4EvBFzBgnbcNSOk8+CYBz0yFAAr5IfE1G+Gb/Tnl6NXVuXzybFSIpHREzRg6/ZZcL5fB91jjsFaKzIu3bbKWUjgR8ETNGHX5Yl1u4EBYulJSOSBqhEb7DHurfktIRPZLb529apbNzJ9CYw7fKNnBCdJbL60cpozIn1L/nWKcsU0b4ImZaq8MPBnxJ6YhE5/YZ+9kq1ThjPEVSOqInMgJ+hDp8h/HlsMooSIjOcnn9TdbCB6NKxypr6UjAFzEjdfgi2bm8/pY7ujmsswGK5PBFzLSo0pk6FZCAL5KH2xdoHOGb/Tsl2ZZWEKI9WuuWKZ2//AUAZ1ktgGVGQUJ0VpMRvtm/HW9tlZSO6FmC6+RESumkhBZPs8aXQojOajLCNzkdctJW9DChDczDA/43vgHf+AZOOWkrkkSTEX6wf1togx9J6YiYcHtbLhtLSQkgOXyRPNy+AFmpZlgN9m9zhzd/QOOI8wY/MsIXMRFp67egUB2+RQ57hegsV/Nd3TBSOoAl0joS8EVMREzpmFJkhC+ShNvXsg6/cUAT//4tAV/ERCilE2HiVXAfWzlpKxJdi32baezfVqjUkRy+iIlQSid89HPqqQDYbQqlZIQvEl+TEb7ZvxvPUcU/pSMBX8RExJTOf/4nAArMSob4fyGE6IomOXyzfzvXGydvrTCgkZSOiInGnYBapnTAWrMRheisSGvphFKWFujfEvBFTEQc4V9xhXHBWhs9C9EZPn8AX0A3DmrM/i0pHdHjRAz4R4+GrjpkhC8SXOP2hmYfN/u3leaZyAhfxEQwpZPmbD2lI+vhi0TWWumxQ1I6oqdxtxPwJaUjEl1rg5oUC6V0JOCLmGgwvwzpKa0FfEnpiMTWmNJpXodvnZSO5PBFTLi8wc2dw8YYc+eGrkrAF4musRLN7ONm/7ZSSkcCvogJl9ePw6Zw2MMC/m9+E7pqpV2BhOiMFiN8s3+nHKwGJKUjepAGr5/0VvL3ACl26+z7KURntBjhm6yU0pGAL2LC5Q00XRoZ4MILjQuS0hGJLxTwg/3c7N+S0hE9TqQZiDQ0hK467TbqPP4Yt0qI6GlRlmn2b6nSET2Oq52UjtNuk9UyRUJrrSzTSiN8CfgiJowRfhs5fIfU4YvE1trEq2AO3wrnqCTgi5hoiJTSCSM5fJHoWptcaKUd3SSHL2LC5Q2Qndasu118ceiqEfDj/4UQorNCI/zgwMbs31ZaLVMCvogJl9dPQXZq0zvvuCN01VgPP/5fCCE6K5TDD66WafZvp9mvJaUjeoz2TtqmyFo6IsG5fQGUahzRBzlsxm0rpHSiEvCVUvOUUjuUUsVKqV9GePwGpVS5Umqjebk5Gu8rEofLG2iZw58zx7ggVToi8TV4jEGNUmbAN/u3UsoyiwN2OaWjlLIDjwDnASXAWqXUG1rrrc2e+rLW+tauvp9ITC5f21U6Tofk8EVic/laP4p12m1Jk9KZBRRrrfdorT3AS8ClUXhdkUSCo5/WBHP4WkvQF4mpwRNoY/lvawxoohHwC4EDYbdLzPuau0Ip9YVS6lWl1KBIL6SUWqiUWqeUWldeXh6Fpgkr0Frj9kVYWiFMipn39AXi/6UQojNcXn8by38rSxQlxOqk7ZvAUK31ZOAD4LlIT9JaP6m1nqm1nllQUBCjponu1mLrtwistMCUEJ3R1gKBVknpRKMs8yAQPmIvMu8L0VofDbv5FHB/FN5XJIgGc42cFl+Gq64KXQ0FfJ+GlJg1TYioaZG2bNa/rZDSiUbAXwuMUkoNwwj01wDXhT9BKTVAa33YvDkf2BaF9xUJwuVrZXvDW24JXXU6grMR4z8KEqIzGrz+ppMLw/q3wyIpnS4HfK21Tyl1K/AeYAee0VpvUUr9FlintX4DuE0pNR/wAZXADV19X5E4giP8Fimd+nrjZ0YGTpt1ZiMK0Rkur5++4ZMLw/p3ShKldNBavw283ey+fw+7fidwZzTeSySexu0Nm43wL7rI+Ll8ueTwRcJraH7Stln/tkJKR2baim7X4PUBrW9gDo0pHQn4IlG1VXrssMjEKwn4otvVmymdzNTWDyiDZZkeX/xHQUJ0RkMbS4A77TY8FphJLgFfdLv61qp0wkhKRyS6turwUyyy/LcEfNHt6j1GSiejrZSOBHyRwLz+AF6/bqMOX1liUqEsjyy6XaspnRtuCF11WmjfTyFOVHBp5CYBv1n/tkJKRwK+6HahiVfNR/hhX4gUh5RlisTVEFwLP6WVgO+QlI7oIYIj/Izmh7sVFcYFSemIxOY2S4+bjPDD+neKRcoyZYQvul2dx0eKw4bD3mx8sWCB8VPq8EWCa4iU0mnSv6UsU/QQDR5/mydswVobPQtxohrTlpFDqkOqdERPUe/xk5nS9sFkSmjxtPh/KYQ4UaEcfitVOikWOWkrAV90u3qPr81ZtgBOOWkrElh7Ad9I6cT/6FUCvuh29SeQ0pGALxKRq53JhU6LpHTkpK3odq0G/B/8IHRVcviRBQIam7mSqLCuiCdtm/VvX0CjtW7c5DwOJOCLblfv8dE3O63lA1dfHbqaIiP8FnaX1/L1Rz/ltrmjuOn0YfFujmhDKOCHD2zC+7ejcWJhcM5JPEhKR3S7ek8ra4wcOGBcMHKcICdtw7256RDVDV7ufWsrX5RUxbs5og2Nez6E9fNI/TvOAxoJ+KLbNXj8ZEYK+N/8pnEB7DaFUvH/QljJe1tKGds/m+xUB/MfXslPXt6I2+fH5w+wavdRAhZYm0UYIi6tENa/rXKOSlI6otvVuX1ktFOWqZQy1huRHD6BgGbr4eNsO3yc31w8HpfXz1+X7uK1zw9S7/ExND+TJ1bsYfaIPmgNz954UqvVISI2Grx+7DYVGsk313iOSgK+SHItdgJqhVWWkI0Xnz/AT17ZxNZD1QzKyyA71cGVM4vITnVw8xnD+Pvqr/iPN7eGnv/p7qMA/HnJTu68cFy8mi2ABk+AdKe91ROyKRZZHFACvuhWwWVjI6Z0mrHK9PN4KK9x882nV7P9SA0Au8vr+PkFY+iV5gQg1WHnxtOGMaRPBgerXAzMSePZlfvonZnCEyv2YFeK2+aOkpF+nLS1+QmEzTOJ8zkqCfiiW9W5g2vht9/VrFKrHA9vbDrE9iM1PHTtNEqPu6hx+bhlzogWzztnbL/Q9bnj+uH1B3DaFY8u302qw86Pzx0Vy2YLk9vrb3VZBZAcvughas2AnxVpe8Of/azJTafdhruHVul8vKuc4QWZXDJl4An9ntNu409XTWVfRR3LdpRJwI+TBm+E/WzD+rfk8EWPUOduYz/bSy5pcjPVYY0lZGPN5fWzek8lV80s6vRrnDGqgIc+3EV1vZecDGcUWyc6ImLAD+vfVsnhS1mm6FbBEX5maoT85o4dxsWU4rCFytt6kidW7KHB62fexAGdfo0zRuUT0LB679Eotkx0VIMnQg4/rH87LFKHLyN80a3q2krpfO97xs/lywFIddp7VErnQGU9v31rKx9sLeXiyQM4dUSfTr/WuAG9ANhVVsv5E6LVQtFRLq+f3IyUpneG9W+nRVaDlYAvulVdaITffldLc9hw96AR/l2vbWbD/mP87LzR3HzG8C69Vmaqg4E5aRSX1UapdeJENHj9DGirSsciOXxJ6Yhu1eZJ22Z60gjf5fWzem8l184azI/mjurQPIX2jOibxe5yCfjx0N5cE8nhix7hhAJ+D8rhr9lbiccX4PRR+VF7zREFWewuq0XrnnfiO94aPIGO1eHLCF8ksxNJ6aQ6rLErUHfZfuQ4R2vdAKzcXYHTrjh5WOfz9s2N6JtFncfP4WpX1F5TdIwrUpVOGKnDFz1CrdtPit0WWh62iV//usnNtCRO6RytdXP5I59y3vh+PHjtNDYdqGL8gF5RSeUEjeufDcCWQ8cZmJsetdcVbdNamymdZn08rH9bJaUjAV90qzq3L3JJJsC55za5meqw4fYlZ0rn2ZX7aPD6+XB7GQ0eP5tLqlkwo/N195FMGJiD3abYdKCK88b3a/8XRFR4/Rp/QLcc4Yf1b6uM8CWlI7qVEfBbGVds3GhcTKkOOy5v8o3wa1xenlu1j8LcdGrdPp5btY86j58pg3Kj+j7pKXbG9Mtm4wFZOz+WWt3PNqx/y3r4okeodftaP2F7++3GxZTqTM4R/hMr9lDj8vHgtdPISXfyyIfFAEyNcsAHmDo4l00Hqqhu8Eb9tUVkrki7XUGT/u00U5rxPkclAV90q9q2RvjNBJdW8CfRxh4vrt7Pw8uKuXxaITOG9Gb+lIHUuH2cMjyP4QVZUX+/r08rxOXzc/UTq/i0uCLqry9aamhnA3OwTg5fAn4S8ge0ZUbKdW2N8JsJHhLHexQULSt2lvPr//2Sc8b25b+umAzAdScPJt1p58dzR3fLe84cmscT35zB8QYv1z21mqc+3tMt7yMauXztB3zJ4Ytu0eDxc/1TnzHrvqX8c92BeDen7ZROM6nmYW8y1OI3ePzc9a/NDM/P5NHrp4eqlMYN6MXW317QpWUU2nPO2H58eMccZgzpzUtr498Hkl19pP1sm7HbFDYLbOEpAT/J3PPGFtbsrWRQXjo/f/UL/vT+jriO9mvbqtJpJtVhPC8ZSjNfXvsVB6sauPeyiS0CQWu7IkVTmtPO/CkDKS6rleUWull9WyvChjG28EyCgK+UmqeU2qGUKlZK/TLC46lKqZfNx1crpYZG4317urLjLp5ftY+dpTXUun386YOdvLzuAN89cziLfzCb+VMG8uCHxTyybHdc2qe1prLOQ15mauQn/P73xsUUHOFbJR3VWRW1bh5fsYeThvZm9ojozaQ9UedPMEoz39tyJG5t6AlqQ5v8NBvYNOvfTrsNry/B6/CVUnbgEeA8oARYq5R6Q2u9NexpNwHHtNYjlVLXAP8FXN3V9+7JvP4A33pmDduP1JCT7iTVYaOsxs3XJg3g9rmjSXXYefDaabi8fhat3MtNpw8jJz2266Qfd/nw+jX5WSmRnzB7dpObwZFwoo/wb/37BqoaPDx20fS4tmNATjpTinJ4f8sRfnj2yLi2JZm1uiJss/5thS08ozHCnwUUa633aK09wEvApc2ecynwnHn9VWCuisVxbRJbvL6E7UdquGXOCBo8fgIaXrtlNo9cP71Jedhtc0dR7/Hz3efX4YtxZwsuI5Cf1coI/9NPjYspGXL4Jcfq+WxPJbfNHcW0wb3j3RzOn9CfTSXVHK5uiHdTkla9p5XlQ5r1b6c9/kuHRCPgFwLhZ4ZKzPsiPkdr7QOqgRZnrZRSC5VS65RS68rLy6PQtOS1dHuZkae/YAwvf+8U/veHsyMGmImFOfz+65NYs7eSt744HLrf5TVme3ano3UeAPq0NsK/6y7jYkp1BlM6iTvCf39LKQAXdmEzk2g635xxu3yHfJ+6S62Zw28xwm/Wv42lQ+I7mLHUSVut9ZNa65la65kFBQXxbo6lHKpqYNvh44CRzlm1+yinjyxAKcW0wb0p6p3R6u8umF7E6H5ZPLZ8N1prymvcnP3H5Vzy8Ce8vvFgVNq3s7SGA5X1Te4LjvD7tJbDbyZ00jaBZ9v+3+bDjOmXzbD8zHg3BYCRfbPo3yuNT3ZJTX53qXP7sClIc7YdTtOd8Z9JHo2AfxAYFHa7yLwv4nOUUg4gB5C92E7Adxat5cK/fszyHWWs3VdJrdvHGR1cWtdmU9x0+jB2lNbw+YEqnvp4T2hFxXvf2trlUYfWmvP//BFn3L+MHUdqQvdX1Boj/FZz+M2kORP7pO3u8lrW7z/G5dObH+DGj1KK00fl80lxRUJPaHt1fQnlNe54NyOiWrePzBRHu9VXaU5baBmGeIlGwF8LjFJKDVNKpQDXAG80e84bwLfN6wuAD7Us2tLBsnMAAB25SURBVN1h9R4f281A+uOXNnLXvzbTO8PJnDEdPwr62uSBpDvtXP8/q3n2033MnzKQZ284iYpaD58Wd+1v766wsr8/fdC4R+1RM+D3zuxYwA+O8OM9CuqMA5X1/Ojvn2O3Kb4+zToBH+C0kX2obvCys7Sm/Sdb0J7yWu745yZufm5tvJsSUb2nY7PJ05z2uJ+f6nLAN3PytwLvAduAV7TWW5RSv1VKzTef9jTQRylVDPwUaFG6KVq3em8lAHddNJZat499R+u58bRhZKR0vMgqK9XBd88cTl5mChdO7M9vLh7P7JF9yEp18MAHO6io7fzo6WMzXXDRpP4s3VYWSuUcrXOTm+EMzTJsTyKWZX5RUsXtL33O1U+sYt/ROh66dhp9e6XFu1lNTCo01uzZfLB7z9l0lzVm/99UUh33gBlJndvfobkmVgj4UVkeWWv9NvB2s/v+Pey6C7gyGu/VE322+ygpdhvfOnUoZ43uy1eV9Zw5+sTru3963mh+el7TKf3nje/Ha58f5MK/fsyIgkxuO2cUs0d2/LW9/gD/XHfA+N25o3h78xE+2FrKNbMGc7TW03qFDsBf/tLkZlsnbQMBzfKdZZw0NI/stNiWl7amss7DtU9+Rp0503LhmcO5aJI1TtaGG56fSWaKnS8PVnPVzEHt/4LFrNlXGbr+0c5yzp/QP46taanV2eTN+ne6086RJMjhi272+YEqJhT2Is1pZ0z/bM4b3y+U/uiq+y6fyKIbTyIQ0Hy2p5I7/rkpVFccLtAs/+vzB/jXhhL+umQX24/U8G/zxjKmXza5Gc7Q8rylx11t5++nTjUuprTQSduWo6C3Nh/mO4vWMfsPH1JdH/uVILXWvLq+hE0HqkJHIM98spc6j5+/3XQy3ztrOD84a0TM29URNptiQmFOwo3wg1nftfsqOXtMASkOG2vDgr9V1Ll9kY+2m/fvJMnhi27k8wfYXFLNlKLoL6ULkJHiYM6Yvqz85Tn88/uncqjaxQPv7ww97vb5+cnLGxl/97u8+2XjjM03Nh3ip69s4uFlxcyb0J8LJvRHKcWUotxQwN9fWc/gvNarh1iyxLiYgiN8V4QRfnBdoBqXjyXbSrv0b+6MP76/gzv+uYlLH1nJ1P/4gHvf2sqjy4u5ePIATh+Vz50XjuvwuYp4mFSYw9ZDx2M+F6M9y3aUMfY37/Dg0l2h+7TW/Ofb2zj9v5bx5cFqDlQ2cNboAqYW5bJm37E4tjayOo8/cg6/Wf9OT4l/SkcCvsUVl9fS4PV3y9rp4dKcdk4amsf1Jw9m0ad7OWJW8Sxef5DXPj9IflYqt/3jcz7aadRz/3NdCQAzh/TmnvkTQq8zZVAuO0trOFrrprzG3XbA/93vjEuwDQ47NgW1LuMIY+m2Uv78wU4OVzfwSXEFt50zkgE5aTFZKsAf0Ow4UoM/oPnqaD2PLd/N16cVct/lExnRN5OnP9nLycP6hFbBtLpJhTm4fYEmJ9itYMnWUlzeAH/6YGfoPNLyneU88dEeDlY18IvFXwBwxugCThrWmy0Hqznu8rKnvJbf/O+XLFq5t8XRZ6wZK8JGOOJu1r9THfa4j/Bli0OLW7bdCLDTBndvwA+65qTBvLj6K1bvPcrFkwfy+IrdTCnK4fnvnMw1//MZP3xxA/cvmMyqPUe54/zR3HrOqCa/P21QLgENb246BMDgPh2vR7fZFLkZKRyr9+Dy+rnpuXUAPLZiN1rDJVMGctzl4++rv2JvRV231bofqmrgxmfXsqO0htH9ssjNSMFhs/HLC8fSt1ca86cMZOuh48walheThdCiYWJhDmCcuB3bP5sPtpYS0Dp0ZBYvG76qIjfDSVW9l5XFFVw6tZAPt5WRkWKnf680Y3/enDSG52cyb8IAHl2+m5sXrWPb4eO4fH68fk12mpMrorxd5Iloc1e3MOkp9rjPMZERvgV5/QEWry/hoaW7ePqTvZw+Mp8hJxA4u2LcgGwyU+ys3VfJp7sr+KqynpvOGE5OhpPHrp+Oxx/gBy9uYGBOGjecNqzF788c2huHTfH3NV8BMKStEX4EvTOcHKv38Ib5B2Nk36zQdPSRfbO4Zc4IUp027n1ra1svc0KqzPcLBDQ+f4BvP7OGQ1UN/GLeWHx+zRclVfzqa+NC1TfZaU5OHt4nYYI9ND1xu2xHGQtfWM/3/7YhVAEWD7VuHzuOHOdbpwwhN8MZqvb6pLiCU4b34e75E7hgQj9+Pm8MSikmFeXwndOGsWZfJTkZTpbdMYf8rBRW7o7vpLKOLgGe5rDj8QfiOh9CRvgxVO/xkWK34WinTPH2lzbyf5uNZRCcdsWPzx3V5vOjyWG3MX1Ib1YWH+VAZQM56c7Q9Pyh+Zn8z7dm8uH2Mq6aOShiJ89OczJtcC5rzVxrmymdCPpkpnK01sMXJVX0SnPw+g9P47JHVrJgRhFKKfr2SuNbpw7h8RV7OFbnaTdvvrK4gqp6L1+bHLl6xuX1M//hlXxlzhL2B4y0x+PfmMG8if1ZeOZw/AEdWs8+UQVP3C7bUcbnX1WRYi7V+6kZXONh04EqAhpmDM2juLyWVbuPsq+ijr0VdXzzlCGcNbqAs0Y3nWvym4vHc9Ppw8jLTCHNaWfmkLy4nsj1+QO4fYEOlUinpzSuFdXRXeCiLbF7cSes21fJf76zLeZ/ZZ/6eA/j//09/hp2ciqS6nov7205wrdPHcKu+y5k+70XctLQvBi10nDF9CL2Ha1jxc5yvnvGsCbruZ85uoB75k9g/MBerf7+maOML2luhpPcjBMroeydaYzw91bUMawgi8xUBx/89Cy+F1YBM2/CAPwB3e7J27LjLq5/ajU//PsG/AFjSYm7X/+yyUJib2w6FAr2D3+4iweXFjOmX3boj5zdphI+2Afdfu4oSqvdbDlUzf0LJjO5KIdVe+I34X3D/mMoZeztO2toHgerGnjow2KUgnkTWy+9HJibHuqTJw3L40BlAyt2lvO3z/bzknlkGSt1obXwO1aHD8Q1j9+jRvgbvjrGt55ZQ73Hz8SBOVwyZWBM3nfjgSrue3sbAB9sLeVn548BjNTNPW9s4YuSam4/dxRzx/Vj6fZSfAHNZdMKOzxhKdoum1bIpKIcPL4A4wa0Hthb853ThzE0P5OhfTLbTns88USLu/IyU1i/v4o6t5+ThkZebXJiYS+KeqfzyLJiThuZz8Dc9IjP+/OSxmqjL0qqeO3zgzy/aj9LtpXx31dOZvaIfF5dV8Lwgkx+MW8s33thPQAv3DQLmy1x0jUdNXtEPq/fehppTjvD8jPZdvg4z6zcS4PH33ID7hjY8NUxRvXNIifdyUxzULN4QwlnjGr9/7S5Cyf25+mP9/DtZ9YAYFMwYWAOk4pyuq3d4aoazNnkGRGONJv172DAj2elTlIH/L0Vdfz2TSOgXjx5AK99fpCC7FRsSvHER7ubBPwj1S6+KKnqlkkdz3yyl7yMFC6bVsizK/dS4/KSnebk7je28PfVxojkvre3MWdMX5ZuK6Nvdmq3lWF21IgubLCdmero2B/TMWNa3JWXmRKq1rgqP/IkIaUUf71mKt98eg1n/fcyepkTsaYN7s3j35iOw27jSLWLV9eXcPHkAbz1xWG+/7f1HKv3MqIgE48/wA3PrOXxb05nzb5K/m3eGC6Y0J8Hr51G2XEXZ4xK3oX7wv+AnzKiD098tIf1+49xegfXZQKjbPJEzl8Yk/NKcNiNZSccdhuBgObzA1XMM79v4e269QTW7h+Ym86Hd8zhxdVfUVbjYvH6Ev68ZCfP3HBSh1+jKyrrgsuHRDiSbda/JeB3o0NVDVz9xCrcvgB9s1N5btV+MlLsvPCdk3l3y2F+//Z2jlS76J+Thj+g+d4L69hUUs33zxrB9ScPpqh3eoc79bE6D8+t2sfFkwcysm/LQLn9yHGmDe7N2WP68vQne1m7rxKn3cbfV3/FwjOHM6kwhx/943M+2HqElbsrOHdcv6QcYbbw5pvGz0suCd0VPlIamt96/n/GkDzeu/1M/rZ6P3VuHzUuH69vPMR1T63m7kvG8+RHe1AofjFvLNUNXj7eVcEpw/P46zXTsCnF3AeW851FRhXQFdONCo/5MTris4qThuZhtylW7anoUMCv9/j43gvr6ZXu5JHrOra5i9aan76yKVS1VVrt4rJphRyudlFV72XWMGNkb7cpnvzmDHqlGyfET0Sa085NpxsFBDaleGLFbsqOu2KyxEWVOQkw4gi/Wf8ObnLe4IlfpU7SBvznV+2nss7D/912BoW907n5ubUsmDGIwX0yOH1kAbCdj3eVc+XMQby6/gCbSqqZNjiXx1fs5vEVu5k3oT+3nzeKMf2yWw38lXUeNh+s5v53t7Pl0HEeX7GbZXfM4c1Nh9iwv4pbzh7B2P692FNex3nj+zF9SC75Wan8YvFmXB4/Iwoy+el5o3HYFH2zU/nN61uoqvd2eBXMhPfAA8bPsICfF3YSdnh+20cZg/IyuPPCcYARWLJSHby4+iuuffIzjrt83H7uKAblZfD8d2bh8QeazE5+4KqpfPf5dcwamkc/i619EytZqQ4mFebw/pZSvj17KG5vgDqPj7H9I6fx/vzBzlAlzcIzqpjSgbkh/9pwkDc3HeKO80ezfv8xHvhgJw980JhqCz+ijsbR9ZUzinhs+W7+9flBvh+Dmc+hEX6kgN+sfwcDviuOa0UlZcDXWvP+liOcMrwPY/pnA/DSwlNDj4/tn01+VirLdpTx9elGB5lUmMO/fjCbDV9V8cHWUh5fsZt3txzh7DEF9MlKJd1pZ9awPC6ZMpBPdlXwwmf7WLvvGJV1HnLSnfzH/Anc/cYWHl++m+c/24/WxqHsz+eNwRfQjOnfi4wUB89/ZxZ3v/ElqQ479y+YHDrM+/r0Ih5fYew9e9oJrGWTbMIDflsnhptTSnHf5ZO4YkYRCx77lDljCrhlzsjQY82XojhvfD/e+fEZPTbYB3179hD+7dUvuOzhlZTWuPEHNL+7bCLfOGVIi+d+vKuC6YNz2VNRxy8Wf8Hj35jBtsPHWbOvkjSnnV/MG9vk+ZtLqrn7jS3MGNKbW+aMpMHrZ8m2UipqPdz71launFHUoXLGEzG8IIuZQ3rzz3UH+N6Zw7u9dPZYfRsBv5ng8t8NHgn4UVVcVsueijpuPG1oxMdtNsXXpxfy5Ed7KMjawr6j9Tz+jekopZgxpDczhvRm/pSBPPXxHl7beJDgQs4vfLafueP6cs+bWyguq6UgO5WnvjWTWcPz6JXm5O3Nh3lu1X4A5k3ozwfbSjl1hHF4Oqaf8Ydn/MBe/PP7s1u06cbThnK01s2VMwe1veBYkgsujHbq8D7YO5HWmj64Nyt+fjb9c9LaPendmRPSyebyaUX0zkjhhmfXkpvhJCfdyR/e2c4lUwbSK80ID0opquu97Cit4SfnjuYn5+Vy06J1zPnj8iavdfHkAUwYaJwsDQQ0P3llIznpTh6+bho2myIz1cGlU42loy+a1L9DQbIzrpxZxC8Wb2ZTSXW3z1A/Vu/BblNkp3VseWSQHH7UBafenze+9UPEH88dxTtfGgG6MDed85s9d/zAXjxw1RR+c/F4Vu89yqe7j/L8qv18+5k1FJfVcv8Vk7lo8oAmI5S7LhrHT17ZyNA+mdxxwRje3XKEh5cVk+a0tTsrtF+vNP77yild+Fcnh6mDcvnZeaMjjjA7atAJ1v73dHPG9OX+KyYzdkA29R4/1zz5GWv2VvLy2gMs3V7KXReOY0TfTLQ28v6njujD2z8+gzc2HeLU4X3on5PGJQ99wo9f2sifrppCv15p3PmvzRSX1fLgtdMYkNOy4ibSfdFy9ti+gFH22f0B30tuurND59ykLLObvLellKmDcumf0/rhemaqg+dunMVtL33O7XNHR/wPU0rROzOFeRMHMG/iALx+zT/WfMU5Y/vy9emFLSZQTRmUy4c/mxO6PbpfFjtLazl/fL+kqeXubnab4kdzYzfRTBiuOsmoiHJ5/aTYbawsrmD5jjK0hvvf205R7wyyUx2hADqyb1aTpbYfunYav3ptM9f/z2pqzNVWZw7pzUVt1NN3l4KsVPpkprD9yPFuf6+OTP4LCpa+xnN5haQL+AerGth8sLpFPjGS4QVZvPWjMzr82r+7bCLzJvbn5GF57c6WBbhgQn92lhZzgcXW77aMF16IdwtEM2lOO5OLclj06T7AWD77v97Zzt6KOm6ZM6LVev2zx/blle+fyreeWUNNuY/fXz6J604eHMOWN1JKMW5Ar9Aucd3pWL2H3q1NLmzWv9PMQZ+M8KOob3Yqf7vp5IjlkV1lt6kWU73bcu2swZQed3FBHEY5CWFQ4m3G0RPMHtGHdfuNpTHOGduXk4f14ZmVe/nuGcPb/L2i3hm8f/uZ7CitYXycz4+M7Z/NC5/tx+cPdGhw1p5gSeo3ThnSZAB3rM7LkD6tpBCb9e/gcgq1zfab2FtRx53/+oI7LxzXocqnrki6PIPTbuP0UfltpnNiZWBuOvcvmBL1SoSk8fLLxkVYyndOb1wUr3+vNEb2zeL3l0/qUOrCYbcxYWBO3BeWGzugF25fgH1HjWUzfP4AXdlG+69Ld/Hxrgp+b86YDzpa52n95HOz/p3mtJOXmULJscalPbTW3PjsGj7bU8lTn+ztdPs6SiKRiJ/HHjN+Xn11fNshmsjNSOH1H55GjcsX98DdWeMGGFVx248cZ1h+Jmc/sBynzcaiG2cxuLUReRsWrz8IQMmxBqrqPeRmpHDc5aWi1s2Q1iYIRujfg3qnU3KsPnT7cLUr9Efpo53leP2Bbl1SJelG+EKIrpsyKPeElluwmpF9s7DbFNsP17DjSA0HKhvYU1HHY+Zcl/Z8ebA6tCx3db0R2L822Vi0b4W5CdCuUuMcwVhzrk9HFPXOaDLC33LIOLG88MzhVDd4+fyrqg6/VmdIwBdCJJ1Uh50RBcYCcev2G8snzxqax1ubDoUmPq3bV8kjy4q5/NGVoW05AXaW1nDxQ5/w16XGjODicmOXsMumFpKd6gjtIRA8KTy634kE/HQOHmsI7dK19dBxlIJvmmXIGw907xaOEvCFEElp3IBexkzgvZUMyEnj1nNGUuP28dneo3h8AW5ctJb/fm8Hn39VxY3PruHF1cakyeD+yc9/up/jLi+7zW0hR/fLYsbQ3qw1A/7OIzVkptgp7ODKngBFeRl4/AH+vGQn8/7yEct2lDGsTyaD8jIYlJfe5A9Pd5CAL4RISjOG9OZQtYv3t5Zy2sh8pprbhG49dJxPd1dQ4/Lxxyun8MJNszhW7+VXr33JztIaXvv8IIPy0qlx+1i1+yi7y2tJcdgo6p3BSUPzjA1yVuzmzS8OM3ZArxM6z1HU2/jj8NCHxWw/UsPGA1WcZ+69MLkol7c3H+Gpj/dE/8MwScAX8fPqq8ZFiG5wxfQictKdeHwBbj5jGL3SnAzOy2DroeO8t6WUzBQ7F08ewBmjClj5y3MAuPNfm6mo9XCHuWfF7vJaistqGZ6fid2muGjSAHIzjOUnhvbJ4N5LJ7begAj9e0pRLuMH9GLGkN78/eaTeeGmWfzyQmPO0CxzT4Df/d823v3ySDd8IlKlI+IpP3FPCgrry0x1cM/88eyrqA+tADp+QC+2HDJOyJ4+Kj+03EFhbjqTCnNYv/8Y+VmpfG3SAP7z7e0Ul9Wyu7w2tEbQsPxMVvz8bA5U1jNhYDuj+wj9Oy8zhbd/HHmy53UnD2ZiYQ6/em0zf3x/B+ePj/4y6RLwRfwsWmT8vOGGeLZCJLHLpxU1uT1hYC/eNdfauqXZRiv/Nm8Mr6wr4cKJ/XHYbYzom8nWQ8f5qrKe+eaibwA56U5yCjuwo9YJ9m+n3caMIb156NppZKd1bH2eEyUBX8SPBHwRY/OnDgytx39ms53NzhhV0GS3s5EFWawsNk7kjihoe/HDiDrZv0edQNXPiZKAL4ToMYb0yeS+yyeysrii3QlY4YG3O5ZqiQc5aSuE6FGuP3kIj14/o93nXTq1ccvL9nZfSxQywhdCiAiy05y8+v1TWbOvstVVQhONBHwhhGjFzKF5zDTLJZOBBHwRP2+/He8WCNF9LNi/JeCL+MmQrQhFErNg/5aTtiJ+Hn3UuAiRjCzYvyXgi/h55RXjIkQysmD/7lLAV0rlKaU+UErtMn/2buV5fqXURvPyRlfeUwghROd0dYT/S2Cp1noUsNS8HUmD1nqqeZnfxfcUQgjRCV0N+JcCz5nXnwMu6+LrCSGE6CZdDfj9tNaHzetHgH6tPC9NKbVOKfWZUqrVPwpKqYXm89aVl5d3sWlCCCHCqfZ2cldKLQH6R3joV8BzWuvcsOce01q3yOMrpQq11geVUsOBD4G5Wus2N5dUSpUD+zvwb2hNPlDRhd+PFWln9CVKWxOlnZA4bZV2whCtdUGkB9qtw9dan9vaY0qpUqXUAK31YaXUAKCsldc4aP7co5RaDkwD2gz4rTW4o5RS67TWM7vyGrEg7Yy+RGlrorQTEqet0s62dTWl8wbwbfP6t4HXmz9BKdVbKZVqXs8HTgO2dvF9hRBCnKCuBvw/AOcppXYB55q3UUrNVEo9ZT5nHLBOKbUJWAb8QWstAV8IIWKsS0sraK2PAnMj3L8OuNm8/ikwqSvv00lPxuE9O0PaGX2J0tZEaSckTlulnW1o96StEEKI5CBLKwghRA8hAV8IIXqIpAv4Sql5SqkdSqlipVRrSz3EjVJqn1Jqs7mu0Drzvg6tSdTN7XpGKVWmlPoy7L6I7VKGB83P+Aul1PQ4t/MepdTBsPWaLgp77E6znTuUUhfEqp3mew9SSi1TSm1VSm1RSv3YvN9Sn2sb7bTU56qUSlNKrVFKbTLb+R/m/cOUUqvN9ryslEox7081bxebjw+NRTvbaesipdTesM90qnl/bP7vtdZJcwHsGPX9w4EUYBMwPt7tatbGfUB+s/vuB35pXv8l8F9xaNeZwHTgy/baBVwEvAMo4BRgdZzbeQ9wR4Tnjjf7QCowzOwb9hi2dQAw3byeDew022Spz7WNdlrqczU/lyzzuhNYbX5OrwDXmPc/DvzAvH4L8Lh5/Rrg5Rj+37fW1kXAggjPj8n/fbKN8GcBxVrrPVprD/ASxno/Vhf3NYm01h8Blc3ubq1dlwLPa8NnQK458S5e7WzNpcBLWmu31novUIzRR2JCa31Ya73BvF4DbAMKsdjn2kY7WxOXz9X8XGrNm07zooFzgFfN+5t/nsHP+VVgrlJKdXc722lra2Lyf59sAb8QOBB2u4S2O248aOB9pdR6pdRC876OrkkUa621y4qf863mofAzYSkxy7TTTCdMwxjpWfZzbdZOsNjnqpSyK6U2Yszq/wDj6KJKa+2L0JZQO83Hq4E+sWhnpLZqrYOf6X3mZ/pnZU5KJUafabIF/ERwutZ6OnAh8EOl1JnhD2rj+M5ytbJWbZfpMWAEMBU4DDwQ3+Y0pZTKAhYDt2utj4c/ZqXPNUI7Lfe5aq39WuupQBHGUcXYODepVc3bqpSaCNyJ0eaTgDzgF7FsU7IF/IPAoLDbReZ9lqEb1xUqA17D6LSlwcM31caaRHHQWrss9TlrrUvNL1cA+B8a0wtxb6dSyokRRF/UWv/LvNtyn2ukdlr5c9VaV2HM3D8VI/0RnEQa3pZQO83Hc4CjsWwnNGnrPDN9prXWbuBZYvyZJlvAXwuMMs/ap2CcqLHMDltKqUylVHbwOnA+8CUdWJMoTlpr1xvAt8zKglOA6rAURcw1y3VejvGZgtHOa8xqjWHAKGBNDNulgKeBbVrrP4U9ZKnPtbV2Wu1zVUoVKKVyzevpwHkY5xuWAQvMpzX/PIOf8wLgQ/OIqtu10tbtYX/oFca5hvDPtPv/77vjTHA8Lxhnu3di5PZ+Fe/2NGvbcIzqhk3AlmD7MPKKS4FdwBIgLw5t+wfGYbsXI394U2vtwqgkeMT8jDcDM+PczhfMdnxhfnEGhD3/V2Y7dwAXxvgzPR0jXfMFsNG8XGS1z7WNdlrqcwUmA5+b7fkS+Hfz/uEYf3CKgX8Cqeb9aebtYvPx4TH8v2+trR+an+mXwN9orOSJyf+9LK0ghBA9RLKldIQQQrRCAr4QQvQQEvCFEKKHkIAvhBA9hAR8IYToISTgCyFEDyEBXwgheoj/B39vbpDf9Dh/AAAAAElFTkSuQmCC\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "C4QphQFI-J1O" + }, + "source": [ + "# TODO Can you write code to plot the R spikes between 9 and 11 seconds?\n", + "# Hint: one solution could be to just detect peaks in the range you specified for Task 1\n", + "# Hint 2: you might need to extend the range by +- 1 second to see the five peaks from Task 1" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "#from9to11_extend = ecg[8*SAMPLING_RATE:11*SAMPLING_RATE]" + ], + "metadata": { + "id": "jmwHnKR7EU7V" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "_, rpeaks = nk.ecg_peaks(from9to11, sampling_rate=SAMPLING_RATE)" + ], + "metadata": { + "id": "-2LypZKe8yvV" + }, + "execution_count": 15, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "plot = nk.events_plot(rpeaks['ECG_R_Peaks'], from9to11)" + ], + "metadata": { + "id": "2-q3XaOwjmMe", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 265 + }, + "outputId": "905ba249-0f22-440e-825d-6c91354cce37" + }, + "execution_count": 16, + "outputs": [ + { + "output_type": "display_data", + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "Nvq66z4KGQqt" + }, + "source": [ + "**Task 3:** Detect Heartrate. [15 Points]" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "Lysq6bR5oFmD" + }, + "source": [ + "# TODO Does the patient have a regular heart rate? If yes, which one? (estimate is fine)\n", + "# Hint: you can use the rpeaks for that " + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "#time = np.arange(ecg.size) / SAMPLING_RATE\n", + "time = ecg.size / SAMPLING_RATE" + ], + "metadata": { + "id": "_Cr9tGI3JK8y" + }, + "execution_count": 17, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "time" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "B-s91lFNgHwl", + "outputId": "72ca1c88-44bb-449b-901d-7e401700cc8a" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "300.0" + ] + }, + "metadata": {}, + "execution_count": 103 + } + ] + }, + { + "cell_type": "code", + "source": [ + "num_rpeak = rpeaks['ECG_R_Peaks'].size" + ], + "metadata": { + "id": "bBBtj4jHOhgb" + }, + "execution_count": 18, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "num_rpeak" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "ee2hoE_bgJRf", + "outputId": "7dc2cacc-7b08-4173-d7cb-b8b95f74f994" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "5" + ] + }, + "metadata": {}, + "execution_count": 104 + } + ] + }, + { + "cell_type": "code", + "source": [ + "heart_rate = time / num_rpeak" + ], + "metadata": { + "id": "yXLJQbrvOcn3" + }, + "execution_count": 19, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "heart_rate" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "uoxHGk7Xflac", + "outputId": "66a09303-c431-4478-8413-e3333f0cc5ae" + }, + "execution_count": 20, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "60.0" + ] + }, + "metadata": {}, + "execution_count": 20 + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "Since normal heart rate is between 60 to 100 beats per minutes, this patient who has heart rate of 60 beats per minutes is in regular range." + ], + "metadata": { + "id": "9CIEaloBgUfG" + } + }, + { + "cell_type": "markdown", + "metadata": { + "id": "zvaJYO_1Izkc" + }, + "source": [ + "**Task 4:** Detect P Q S T Peaks. [25 Points]" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "4N5tbGEFIyyr" + }, + "source": [ + "# We know the R spikes now but what about P Q S T waves?\n", + "# TODO Can you use nk.ecg_delineate to detect them in the range of 9 to 11 seconds?\n", + "# Hint: Look at the tutorial: https://neurokit2.readthedocs.io/en/latest/examples/ecg_delineate.html#Locate-other-waves-(P,-Q,-S,-T)-and-their-onset-and-offset\n", + "# Hint 2: The plot will have blue, orange, green, and red circles :)" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "# Delineate the ECG signal and visualizing all peaks of ECG complexes\n", + "\n", + "_, waves_peak = nk.ecg_delineate(from9to11, rpeaks, sampling_rate=SAMPLING_RATE, method=\"peak\", show=True, show_type='peaks')" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 265 + }, + "id": "kUNlPgLZnnuf", + "outputId": "17dc597d-9528-4eda-cb3d-05a89f741d44" + }, + "execution_count": 21, + "outputs": [ + { + "output_type": "display_data", + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "Yg_kHJPrIy3p" + }, + "source": [ + "# TODO Does the detection work well?" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "source": [ + "Yes." + ], + "metadata": { + "id": "zev6bx0AmHUb" + } + }, + { + "cell_type": "markdown", + "metadata": { + "id": "Y5Yra7gTJzEj" + }, + "source": [ + "**Bonus Task:** Detect P Q S T Peaks for the full signal before and after filtering. [33 Points]" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "BrbtS7rxKXGQ" + }, + "source": [ + "# TODO As above use the nk.ecg_delineate function to detect peaks for the whole signal\n", + "# Hint: For plotting, 1000 samples / 5 rpeaks gives a nice overview." + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "_, waves_peak = nk.ecg_delineate(ecg, rpeaks['ECG_R_Peaks'][:5], sampling_rate= 1000, method=\"peak\", show=True, show_type='peaks')" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 265 + }, + "id": "TxhqFnKKZg49", + "outputId": "e392266a-e136-434b-c613-8b11dfce39fc" + }, + "execution_count": 22, + "outputs": [ + { + "output_type": "display_data", + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "wHk4nLQ2KoEE" + }, + "source": [ + "# TODO Let's filter the signal and see if the detection improves.\n", + "# Hint: You can use nk.signal_filter to define a bandpass. \n", + "# Hint 2: Which lowcut and highcut frequencies work well? Play with it :)\n", + "# Hint 3: You don't need to re-calculate the rpeaks since they are pretty accurate in general." + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "# Generate original signal\n", + "original = nk.signal_simulate(duration=7, frequency=1)\n", + "\n", + "# Distort the signal (add noise, linear trend, artifacts etc.)\n", + "distorted = nk.signal_distort(original,\n", + " noise_amplitude=0.1,\n", + " noise_frequency=[5, 10, 20],\n", + " powerline_amplitude=0.05,\n", + " artifacts_amplitude=0.3,\n", + " artifacts_number=3,\n", + " linear_drift=0.5)\n", + "\n", + "# Clean (filter and detrend)\n", + "cleaned = nk.signal_detrend(distorted)\n", + "cleaned = nk.signal_filter(cleaned, lowcut=1, highcut=100)\n", + "\n", + "# Compare the 3 signals\n", + "plot = nk.signal_plot([original, distorted, cleaned])" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 279 + }, + "id": "Kl5gAdwOeSKH", + "outputId": "1e4d6033-825c-4f00-802d-3f67bc5113f1" + }, + "execution_count": 23, + "outputs": [ + { + "output_type": "display_data", + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "s64ssUs4LmJq" + }, + "source": [ + "# TODO Does the filtering improve the result?" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "Yes." + ], + "metadata": { + "id": "adxxmYKCJWyH" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "id": "qElvYaCgK_r3" + }, + "source": [ + "#\n", + "# Great job!!\n", + "#\n", + "# , ; , .-'\"\"\"'-. , ; ,\n", + "# \\\\|/ .' '. \\|//\n", + "# \\-;-/ () () \\-;-/\n", + "# // ; ; \\\\\n", + "# //__; :. .; ;__\\\\\n", + "# `-----\\'.'-.....-'.'/-----'\n", + "# '.'.-.-,_.'.'\n", + "#jgs '( (..-'\n", + "# '-'\n", + "#" + ], + "execution_count": null, + "outputs": [] + } + ] +} \ No newline at end of file