{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Exercise\n", "\n", "http://bme.elektro.dtu.dk/31610/?exercises/exercise3.html" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import scipy.io\n", "from scipy import fft\n", "import matplotlib.pylab as plt\n", "plt.rcParams['figure.figsize'] = 15, 7" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Step 1. Load and plot signal\n", "\n", "This signal is sampled with frequency of 500Hz.\n", "\n", "The amplification factor on the electrode signals is 500" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Signal length: 4170\n" ] } ], "source": [ "mat = scipy.io.loadmat('../data/ecg.mat')\n", "signal = np.hstack(mat['ecg']) * 2.0 # convert to mV\n", "print(\"Signal length: {}\".format(len(signal)))" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x = np.linspace(0.0, len(signal)/500.0, num=len(signal))\n", "plt.plot(x, signal)\n", "plt.xlabel(\"Time (seconds)\")\n", "plt.ylabel('mV')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Zoom to single period" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "period = signal[500:1000]\n", "x = np.linspace(0.0, len(period)/500.0, num=len(period))\n", "plt.plot(x, period)\n", "plt.xlabel(\"Time (seconds)\")\n", "plt.ylabel('mV')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Step 1.1. Remove low (<0.5HZ) frequencies using Fourier transform\n", "\n", "They are the result of person movement." ] }, { "cell_type": "code", "execution_count": 85, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Frequency resolution: 0.11990407673860912\n" ] }, { "data": { "text/plain": [ "array([ 235.97782763 -0.j , 280.109905 +5.81115531j,\n", " -425.07027541-348.06207525j, ..., -47.86783807 +81.1870016j ,\n", " -425.07027541+348.06207525j, 280.109905 -5.81115531j])" ] }, "execution_count": 85, "metadata": {}, "output_type": "execute_result" } ], "source": [ "transformed = fft.fft(signal)\n", "freq_resolution = 500.0/len(transformed)\n", "print(\"Frequency resolution: {}\".format(freq_resolution))\n", "transformed" ] }, { "cell_type": "code", "execution_count": 86, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/klangner/workspace/rust/biosignals/venv/lib/python3.7/site-packages/numpy/core/_asarray.py:85: ComplexWarning: Casting complex values to real discards the imaginary part\n", " return array(a, dtype, copy=False, order=order)\n" ] }, { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "signal2 = [c.real for c in fft.ifft(transformed)]\n", "transformed_filtered = np.array(transformed)\n", "(pos, freq) = (0, 0.0)\n", "while freq < 0.5:\n", " transformed_filtered[pos] = 0.j\n", " transformed_filtered[-1-pos] = 0.j\n", " freq += freq_resolution\n", " pos += 1\n", " \n", "signal_filtered = [c.real for c in fft.ifft(transformed_filtered)]\n", "plt.plot(signal, color='red')\n", "plt.plot(signal2, color='lightgreen')\n", "plt.plot(signal_filtered)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 91, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "signal_filtered = [c.real for c in fft.ifft(transformed_filtered)]\n", "plt.plot(signal[500:1000], color='red')\n", "plt.plot(signal2[500:1000], color='lightgreen')\n", "plt.plot(signal_filtered[500:1000], color='lightblue')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Step 1.2. Remove <0.5Hz frequency with high pass filter" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "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": "3.7.6" } }, "nbformat": 4, "nbformat_minor": 4 }