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@supereng
Last active December 7, 2016 09:10
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ECG Self Diagnosing System
{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"# ECG Self-Diagnosing System\n",
"## - Supervised by Dr. Wael AbdElrahman\n",
"### - Created by Hassan Badawy"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"import pandas as pd\n",
"import numpy as np\n",
"import pylab as plt\n",
"from scipy import signal\n",
"%matplotlib inline"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 1- Reading MIT-BIH ECG Signals \n",
" ## - Reading 100.dat file"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"C:\\WinPython-64bit-3.4.4.1\\python-3.4.4.amd64\\lib\\site-packages\\IPython\\core\\interactiveshell.py:2723: DtypeWarning: Columns (0) have mixed types. Specify dtype option on import or set low_memory=False.\n",
" interactivity=interactivity, compiler=compiler, result=result)\n"
]
},
{
"data": {
"image/png": 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XVT9KqpQpgjNr1K9Y/dIbq1/tJKHDeEXkQ6Bl5CZMzKvfA9NUtUVE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\nWANisVgslrj4f7/NxBV161XyAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0xc6b3828>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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Igk5kJvov5U5NEpFPgJu9EaliRKQv1vdyTFXxUurO/c03oUEDQhGXD0FyD56V4TVr4Kuv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\nD8YAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0xb412e10>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"path = \"650kSamples.csv\"\n",
"Sig_csv_data = pd.read_csv(path)\n",
"\n",
"Time = np.empty([1,1], dtype=float)\n",
"Sig1 = np.empty([1,1], dtype=float)\n",
"Sig2 = np.empty([1,1], dtype=float)\n",
"\n",
"Time = Sig_csv_data['SampleTime']\n",
"Sig1 = Sig_csv_data['LII-Sig']\n",
"Sig2 = Sig_csv_data['V5-Sig']\n",
"\n",
"plt.subplot(2, 1, 1)\n",
"plt.plot(Time[:1000], Sig1[:1000],'b', lw=1, label='Lead-II Signal')\n",
"plt.ylabel('Amplitude'); plt.xlabel('Time ')\n",
"plt.grid(); plt.legend(); plt.show()\n",
"\n",
"plt.subplot(2, 1, 1)\n",
"plt.plot(Time[:1000], Sig2[:1000],'r', lw=1, label='V5 Signal')\n",
"plt.ylabel('Amplitude'); plt.xlabel('Time ')\n",
"plt.grid(); plt.legend(); plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 3- Applying LPF at 100 Hz cutoff freq "
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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G1CPOBImvv84E4PDDMzCDFStcvkOHDMDlzQrnAQ47rHC+Q4fI94dfv3Kly7dvXzh/2GHu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\nAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0xa478630>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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iPa98wnPensG+lBqkfxfOvA2tqbvjVQZ3XEXMF19AWBhxH30ENWvy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\nuLi4FIv/B0On70kNj+3BAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0xa419a58>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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SpFNPPTXXkDAzM1Pnnnuu6tevr0aNGkmS9uzZo/vvv1/t2rVTnTp1dMQRR+ill16SJCUk\nJKhly5YH1PHtt9/quOOOU7169dSsWTMNHDhQqampkqS5c+eqa9euiouL06BBgzRo0KAiDQnfeOMN\ndevWTXXr1lW9evXUs2dPffXVV4W2MS0tTYMHD1bdunV1xBFH6PHHH9dhhx3m9x0V1X+UwZAwkC/5\nGOABYLTvuj1wbmkrLKT8M4HleAvy9/rSbgCuLyTv2+WuQNLSpBo1pDPOkL7+OvjlB8jUqVPDVnd5\nsK99C2JP0tHRy6RffgmvQEGmwvXfsGF6s/+Xujbi7YAfqcgK5GDn1VdfVXwxXgVCoUACmQB9B8gA\nevmuN+LFKQ8KCsCQME/eayR9Fqy6AyIpCerVg+rVD4otj2FFIjp1BxkRNcG3994RfDIyYOGaOOK7\n7eKanDeDF5bQUW5s2bKFGTNmIInly5czcuTIUu88KwuBKJBDJT0DZAFI2k0QF7KLMyQ0s8vM7Hff\n8bOZHR2sugNi506oWxeiosJqSFjZ56GLIz4+HtLSiI6GDFWvcgqkIvXf6tVw0Q83cmin6pwQ+avb\nMl0JyczM5IYbbiAuLo7TTz+dCy+8kKFDh5a7HIEsomeaWU18sUHM7FC8EUmZCSQiIfAXcIqkZDM7\nExgNHB+M+gPh4lsaM6J6V46sluUs0UNNcjI14qqzJzm6yimQikRyMtSNSNn/wygzE6qFez+NoyS0\natUqn8V7uAhkBPIQXjyQlmb2P+AH4O4g1V+sIaGkWdrvQmUWnu1IuTFvWU2i68V4H7AwKpCK5ksp\n2CQkJEBKCjXiqhNpqnLThRWp/5KToY7yTM1WEYeKjvInEGeKU4D+wFXAB0B3SQlBqr8wQ0J/CuKf\neAGtyo3ElGrENq3Nt9u6uhFIiFm1ZA8WF8vGAcPcCCSEJCVB3exEt7bnKDP+nCnm9XnVGtiMN83U\nypdWrpjZqcDV5DcqDCl798KuPVFEN6nHRdNuDesvtYo0hx4K4uPjuePZ5vy49xS8hZCqpUAqUv8l\nJ0OdvTugTh2nQBxlwt/E50jf3xp4xny/4y2edwbmsH9XVlkIxJAQM+sMvAGcKWmnvwKDaUj45ZcJ\nxESmU7NZPTJyqpGwZAnkcUlRoQzDqsD16o0zWFvnL6geAxkZYZenql7H1jqFTnsX8tbHzfkt+Wxe\n9ymQqmpI6NhPuRsSAp8BR+e5Pgr4pLT7hguUHUhEwlZ4NiLHB1Ce333QJWX5cql97U3K+d/7Ain7\nxVFBLb8kVDg7giAzdepUdWyyU4svGC7ddpv07LPhFimoVKj+S06WatfWt99Kp9f82ftHD4Bgf74c\n5UtR/UeI7UAOl5S73C9pMdCp7KorsIiEeEaM9fGiIs43s9+CUXcgtG4NXx95J9akMdUj9pKZ4fbL\nh5ItSTVo2iLSm8Jy0yqhIyUF6tQhMhKyI6od1O/6ySef5Prrry8+YwnzFkdERAR//fVXiZ/7+eef\n6dQpKF+/waE4DYO3cP4mEO87RgMflFZjhfIgFL+QOnWSFi1SbPV0JT36YvDLd0iS0tOl6hGZynnt\ndaXe84iyH3o43CJVXZYskTp1UkKCdErtOdLcuQE9FpLPVxB55513dPTRRysmJkZNmzbV0KFDlZSU\nFG6xCiUiIkKrVq0q9N6SJUt0xhlnqH79+qpXr566d++ur4PgBaOo/iPEI5Cr8UYHt/mOpb60g4Nt\n26BxY85pt8ztwgohKSnQt+5srEN7jnz9Vtb+HRNukaouKSkQF0dkJOylaoxARo4cyX333cfIkSNJ\nSUlh1qxZrF27lr59+7K3iM9tsEPSlgT5sf7v168f//jHP9i6dSvbtm3jxRdfJC4urhylC5xAtvHu\nkfScpAt9x3OSio7LWEICCWlrZi+a2QozW2BmXYJVd7FkZXlbVho04IMBn1CnWlq5VV2QimRHEAqW\nLk1gcvUB0L49UZFi756qpawrVP8lJ+cqkGyrVuntQHbt2sWIESMYNWoUffv2JTIyklatWjF+/HjW\nrFnDuHHjAHj44Ye5+OKLGTx4MHXr1mXMmDE8/PDDDB48OLessWPH0qZNGxo1asRjjz2WL4xs3rz7\nQuWOHTuW1q1bc8ghh/DEE/sDtM6ePZsTTjiBevXq0bx5c2699dYiFVleduzYwZo1a/jnP/9JtWrV\nqFatGr169eKEE04A9ofV3ce8efM49thjqVOnDgMHDmTQoEE8+OCDZX+pAVKsAjGz1Wb2V8EjGJUH\nEtLWzM7Cc6fSHs/J4mvBqDsg/v4bGjSAiIiwGxJWedLTvV/GzZpRrZrI2uPca4SK+b9HkF6rIe3b\nw0PtxlX6EciMGTPIyMjgwgsvzJdeq1Ytzj77bKZMmZKbNmnSJAYOHEhSUhKXXXYZsD/Gx9KlS7n5\n5pv54IMP2Lx5M8nJybmBofZRMB7IL7/8wooVK/j+++955JFHWL58OeBFLnz++edJTExk5syZ/Pjj\nj7zyyivFtqVBgwYcdthhXH755UycOJFt2w4MwrpPhqysLPr3788111xDYmIil156KRMmTCi2jmAS\nyBRWd+A433Ey8CIwLkj1BxLS9nxgLICkX4E6ZlY+oeq2bt0fFa9aeH+pVfWtlPEdOkCTJhARQVQV\nVCAVqf8G/Kcnm6u1pGFDOKvpgkqvQLZv307Dhg2JiDjw66xp06Zs374997pXr17069cPgBo1auTL\n++mnn3LeeeflxvHIGwu9MMyMESNGUL16dTp37swxxxzD77//DsCxxx5Ljx49MDNatWrF9ddfz7Rp\n0wJqz9SpU2nbti133nknzZo1Iz4+nlWrVh2Qb+bMmWRnZ3PLLbcQGRnJhRdeSI8e5Ru0NZAprB15\njo2SngfOCVL9gViiF8yzsZA8IeHWEQ34MuJc76JGjSpn3FahSEryfDMB1SJhb2bVUiAVieTdUcQ1\n8IVl3ecLKwiMGOFFtS14jBgReP6i8vqjYcOGbN++nZycnAPubd68mYYNG+Ze+wv9umnTpnz3a9as\nSYMGDfzW3ThP2OWYmBhSU70AXStWrKBfv340bdqUunXrMnz48HyKzB/NmjXjxRdfZMWKFaxdu5aY\nmBiuvPLKQttWMGRueYe2DWQK69g8R3czu5HwRzIsF/5cW53IGN+vlOho2BO0pZ8SU6Hm0ENAQkJC\nrgKJq7WXnIyqNV1YkfovPbMaNev5/q+DaIk+YkThEWr9KZBA8/qjV69eREdH89ln+SM9pKam8vXX\nX3P66afnphWcgspLwTCx6enp7Nixo+QCAUOHDqVTp06sWrWKpKQkHn/8cb8L50XRvHlzbr75ZhYv\nXlyovAVD5q5fv/6AfKEkEEUwMs/5XmA1MDBI9Qdiib4RaFlMnlyCaYm+ZsuvrGnrDR1nbWzJluXT\nqOss0UNyvWIlpO6OoHZCAgmP7oD//VGh5Ksq1xLs2XsKNerHePd37iTeNzVbWS3R4+LiePDBB7n1\n1luJjY2lT58+bNiwgZtvvplWrVpxxRVXBFTORRddRK9evZg1axbdunVjRDHazJ9C2LVrF3FxccTE\nxLBs2TJeffVVDjnkkGJlSEpK4vnnn2fw4MG0a9eOHTt28Pbbb9Or14GOP3r16kVkZCQvv/wyN954\nI5MnT+a3337j1FNPLbL8cFiityskrW1p9w0XKCcQS/SzgS9958cDs/yUJ+3Zs3+Dc2KiNHCgdMMN\nxeyQLpy2DZK0cvAISdLpR27Ut32eLlU5juLp2W6rZpzzmHfxxRfS2WeHV6AqSkaGFBWRJb3+upcw\nZIj0zjsBPUsFtwN5++23ddRRRykmJkZNmjQ5wA5kxIgRGjx4cL5nCqaNGTNGrVq1UsOGDfXYY4+p\nRYsW+vnnnw/IWzBUrpQ/XO706dPVsWNHxcbG6pRTTtFDDz2kk08+OTdvUXYgaWlpGjJkiNq2bavY\n2Fg1bdpUl112mTZt2iTpwLC6c+fOVZcuXRQbG6uBAwdqwIABeuyxxwp9P0X1HyEOaTuvkLS5pa2w\nkLKKDWmLt1NrJZ4/rmP9lKWTmabZ176q+6/drMcbPisNHSo1a6bsDz5Szl+rC32BRVGnRroSb/cM\n2s7pulGTTnyqRM87Aqd9w0QtG/KEd/Hdd1KfPuEVqIqSlib1abxQGjdOiYnSzUf8sF+ZFENFVyDB\nJjU1VdWqVdOaNWvCLUrA9OzZU++++26h90KhQPx54+1oZgPwdj31z3NchedgMSgogJC2km6RdJik\nYyTN81de3yuacNxbN/LTO6s474728PLLcNttrLv0bo48LIPp93zpRWCbONHv3O/evZCaEUWdxl5T\nw+0gtiLNoYeCrSmzqN/Yt7BbBV2ZVJT+i4mB73sMh9q1yc6GD1b1qHLvuixMnjyZ9PR00tLSuOOO\nO+jcuTOtW7cOt1hFMn36dLZu3Up2djZjxoxh0aJFnHnmmeVWv79F9MOBc4G6QL88x7HAdWWt2Mzq\nmdl3ZrbczL41szqF5GlhZj+a2RIzW2Rmw4or94H3OrBtzW6mbO3MUfee623tuOsuGq2fz/Gn1aT/\nyBNYPOQ/6IILYOxY+PTT3MXxHyans2f+H4Bn+rFywL1ENPJ2YUS7TVghIycHUjOrU69JtJdQvbp7\n2aEkLQ1q1aJmTUjPdgGl8jJx4kSaNWtGixYtWLVqFR9++GG4RfLL8uXLOeaYY6hXrx7PPfccn376\nab6dYSGnuCEK0Ku0w5tiyn0auNt3fg/wVCF5mgBdfOe18aa6Ovops+ixnY+zum0VSClxzSVQUv22\nahTxt97t8pxAep3rpJQUL/N550mffSZJuuofm/RWhwo4hbV3r1JSpL/X7Q63JKUmMVGKi0qTxoyR\nJKXPnK/Mzt3CLFXFJjtbUlZW6R7u2VOaMUPZ2ZKRrZwnA/u/DuTz5ai4FNV/hGgKa1/Y2st8rkTy\nHUHQXecDY3znY4ALCmaQtEXSAt95KvAHZbQBOXtwA3q3WEXsnKnwySfMf+1Xjqq3kasW3M4VNo7r\neiyEr31BDxMTPUt0oNuRe2gWsYWH78/gjhYfwYwZsHQpbNpE9rgP9leQlOT9pC4vzjmH6R2upVGr\nmjx3+Rwu6TCP7Y+8AgMHwrx5ZP46n7N7/E3CSf9XfjKVkMxMOLvRHC/AETDk4bZ8ur13mKWq2Aw6\nbStpUXXgyy+hwPbVYvGNQCIiICoyh4zdzubGUUqK0ixAP9/fIYUdpdVYecpP9HddSP42wBqgtp88\npdLMkrTm9yTtWbleeuMN6ZJLvMROnaTFi73zuXO18oh+uTvWszGpVi1NaHaTzuQr3d7jFz1+zi9a\nRwupXz+pXz+9P2yGOsWu01NXLFL6qo3SihXS/PlKS5NycqTNf+0O+FdkofEkZs6UWrRQ6sVX5cp1\nStx8LTjyMqlJEwn0qg0VSOczQTkLF0l790pbtngCyNuVk5GaWer3JklasECr+16njg236dHWo3XN\nMXO05vkJJSpiaufOUkKCJOny81I0puG/yyZTCNi4LEW/TEnVmUeuVc7sOdILL0izZklLlmjnlj1K\n/PNv7diYrsTxU3Lf7z6CFQ/kyv679NqpH6h+VLKyiJRAe4nQf69frg1T/wyskDZtJN8OoLjodO28\ns/BdOwUpy+fLEX6K6j9CuQurLAcwBViY51jk+3teIQpkh59yauNFQTy/mPpK/XJz2bJFqlPH8y9+\nyCHS5s1e+pIluqLmJ4ohVYlfzpAeflgaNUo7epyZzxRq48Dbpauvlg49VG+z/4v9da6TQLupIZCa\nxSQKpAWn3yFNmCD5tukVxQFfQG++6RXs2za4dau0+NdU39yGPMU0b54euX69nj3rO4F0Gt/nKpZp\nt45Xv8OWqmvrHQIp9d2Pvec2bJA2bsytZttfu/LL9uGHude7d+7xdktFRmpHr3N0Cy+qR93l6lZn\nhdpHrNDOD76WMjOllSv3y1VU+9q1kxYskCRdd9kuvV7nLr/5y5uPxqQLpPps12H8qQyipIYNJdCf\nHKZ6lqjq7BFIJ/Cz1KqVdO65Wv7YeC19YoIGdBqlpN/XSIsWeVuhNm3KVTJzp+zQ7P8mSDt3SjNn\nauIDv2njbxv02rW/KeO7BOmhh6TVq5Vz//Dc/6cBfOy5ZX/vPaUOu08g9YmcqvuOmazsaT9573Lj\nRum335QE0eEOAAAUBElEQVS4PlUZe7y6tm6VltU73vs/l/Tx5ROU/q/7AnoHToFUbkKhQMx7/kDM\n7AugSEsZSeeVZKRTSPl/APGStppZE2CqpAMipZhZNWAy8LWkF4opU0OGDCm7IeFjj8FZZ5Fw993w\nzTfE9+0LGzdyRIvPuaHlN9y27ot8+ZvWO56W0duY+PNCmraLIf6007z7d95J0hEnsC35H1x+XQyz\nn3oAxo5l6obreEQPcFLci8SnfM6jTIV+/Uj4978Dkm/H9t5Mu/F9+g/fBl27BtS+5QszWPb129RJ\nWkd8aioXjerNp3guHh6tM4c7kh/g1/YtYcUKdje+mnO2vg0k0CFqFcujb4cTT2Tq7nRG/NSHtocc\nx5Hda/LAN5m8e/SzDHp4KJx3HgmTJ0NsLO3bx3PD2eu4bdtJRMXVJP7PP9n5+CtMbdGSzck16XNY\nOzr2bkzCF19A48aevK1bk/D009CkCZ+/34M27z9Bl8mnB9ZfIb7ulBTN0Rceyu1tbqfaeedwx797\nEzn1exLi4mDlStqeMpidC9dz6ZM72L4una0fioh5c0hYuZKnP2nHNzxNfXZwB+dyArOIb9mSCZuP\np//em2gc+TdpOWdxf9R/6ZX5MABvM4b3uBJIoA9T+J4noG5dEqpVg+bNSbz8U7o13sDqVt7HM/7E\nE5n7YxLdz1xCDXbzcI1Z3K1nSMjJIScriz6IAfYZt3wsvpvbgHXPbGFc0rkkzJkDn39O/MyZMG4c\nCT6r5qLeh5lR1PeFo+JjZkydOhXIb0g4ZswYJBVtou+PojQL0NvfUVqNlaf8p4F7fOeFLqL77o0F\nng2wzJKr5cKYNUuPxz6hUdX/tT8tI0OraKv0K68vW9lJSfl+4ev116X33pMOOURZ9z+ovyfN8Pv4\n6P8mqV3tLRpd765if9UXSU6Ocu65V9kbNumvZRneL+E33pCeeko5b72tQ6utzv2l+9nA96XZs6Wn\nnpLOP1/zXpmZe69TxDLpr7+Kric1VXr+eenDDzU04jVFkZH77KbGXbyTXbu8vHFx3ruRdN+/0/V4\n9RGla1sISLvpTi0e8ozXHj/s3u0NIvLyyy9S85o79O0d3+qBY79Qzug3pZtv1qjBs3R7t2k6/JAd\nGtvyfumPP6QBA6Rhw7TyiY/0zxOX6r1/zdVhjXZKCxdKP/+8/10Vwfo/d2vr2nT9+PRv3sj5vfek\nadM0/awn1DR6u+bd+rZeHpWtG3l1///Oe+8pB/Qdp2vp//1Pv83cq2WvTfVGSQVo3bq18H5UuqMS\nHq1bty70/4YyjEAC/bKvDnQGjgaql7ayAmXWB77H21n1HVDXl94UmOw7PxHIxrNQnw/MA870U6bf\nD1igLFmUrViS9Wr0sPw36tb1vhBDwaxZevMf43VM5CLNf3XmAbenTp2qrVu9Hjsiarl2jf4gNHIE\nwN9/l/yZm46ervFDJmveo5M1+qntmnb9OOnccz3FlZWlqRERuV9qTz2aqUcjHzygjIw9OdqVmOkp\n4HHjNHVyqtZOmKsvR/6h6e+s1DtDpirzj5XS4MHSDz9I8+eXraF79kgvvyw1aCAtW1amosIdE/3+\nIRt0V93X9eSIPbqrWp5485Mm6UVuEb7pOZAu5FPpmmukO++UvvtOmf+8Ub0P26A72n2mebe9K3Xp\nIk2frjWfzdVVp67Rzp8W6asPPy+dYLt2ee/3g5L/P+/cKR1xyDa9yC0a1neJJpz9hvT++9Lw4erR\nMVm3XertuFx1yX37f+hs3y7Jm6F+5Y6VWjX6h4DqOqD/kpKk1as1PSFb1w5I1POxw73/399/l446\nKjdb4svvC6SreDt3njunbj31ZqqasEkg/e+Yp5VKTO70ctfoxTqBnzWsxwzNGvBMid9LSQmpAsHz\nvLseSACmAeuAs0pbYSiPYCmQKVO8NzOei/Lf6NDB+2IKESkp0r0Xr1STiK1a/exn2p1nZ+7UqVN1\ny6C/Naj6p7m/1Cs9EydK3btr0ZTNGh936P707GyvA3JyNHncTg3rt0pnt1ookIZHPyMdcYRyQDfW\nHrvvMymQ7qr/pnZSRzJTmtXScfyqphFbdEKNuWocvVMzjr7ugMVtv7zzjtS8uTRpUpmbGm4Fsmhh\njlpEbdYd5/yhp2o9sv/GtGnKAaU9OlI/f5Wsnm23aO9nE72F9gsuyF2ziyFVIP2Lkd66V1ycMqJj\ndSgrBNKRvOh9cN5+29uZESgvvSRddFHx+YoiO9vTBoWQlSW9/GSScvaUQJ4i8Nd/mZmS2reX5s2T\npk2T8rgs6Xm4t9a56bOZ3vrhjBnS+PH69b4JOjH2d93d9VudWGeRVv/fm9L550vffKPdN9+p9k1T\ndHLMHH34wOIyy14coVYgy4DD8lwfCiwrbYV5yqnnG3ksB74F6vjJG+EbfUwqpsygvNCNG703s7jn\nNflvzJvn7WIKMbdf7v1y6hE11/tQLlkiLV+uFYecoO2vfRzy+suNvXul3r11ZfsZerfF8Pz3oqKU\nmZKeqxwubzdDX1w5XvrkE+nQQ6VXXlF2pyOVMGaN0uYt08pFuz3l8O230vr1ylm8RG+M2Kg5/zdB\nLRuk6ujqf2hFk5Okdu0C+sLKzJQyLxsijR4dipaHhb4d1uj4uMV6u8Gd+xNnz/ZecCFTVsrJkaZP\n1x037NKihz/VjOlZ2v3n+v33fv1V3/53oS5oMVv1o5I1gfOlGjWkW2+VAnX/0aOH12eVnVtukZ58\nUvr8c28Xpo9f31qknzmhxMP20s5Ol4ZQK5DZBa6tYFqpKg7AkDBP3n/hBbEqFwUiSVs2ZJXeUCsI\nLF+UoZ+Hf+l1UWys9/fpqufM8Zsn5iqOJH3XpcCuq3r1vG3PtWsHR2nn5EiTJ0sdOmgvEXrpsl/y\nO94swMSJ0jkxP3i7pqoKc+ZoOI9qWqc8zkU3bJBq1ixz0WuWpevPkZOkdeuk44/3/mdXrvT7zAcP\n/aHkRoeG9XMWNCZPluLjpXffla68cn/6kiXeZ7c8NUIJCbUCeRX4CrgKzwZkMvAK0B/oX+qKvZFN\nY995k6JGNXju26cA8eWpQCoMaWnS6tWaesUV5TL6KW8eHe6NMj44qcCooHVr6aOPpK5dg15n9ofj\n1aDaTk3v+0ihsx9JSd4n447ar5VsyssP4Z7CkuQpTMj3CzlYFGzfk72/1qWHfK/Nn/5SaP55s/eq\neeRmpXz4ZdBlCQXF9l9qqlS7th7v84Myb/lX/vTzzw+pbGWlLAokkJC2NYCteLuv4oG/gZp4frHO\nDeD5ojhE0lbft/4WoChn+c8Bd0HRW4qrNDEx0KYNXHstREaGW5qg07ef56yy0Ykd8t+IjYUFC+DQ\nQ4NeZ8QlF/PIf2I4ZcoDdKi5Dn35Vb77d9/kRZUb/Eovz5daVSE6GmrWhKZNQ15V3TN7sii1Dbde\ntJl3b1+ANuQP4fPuM9u4tv4EYgeeFXJZyoVatcjsfgIP/XAy1Zo3zpfO55+HT65QU1rNE8hBGQ0J\n8RbwR/nO44EviqkviHrZUV4U/JGfnS0lHXe6dOaZ0r33hqTOrCzptf9br9Z1duqrZtd68/YLF2rd\nOs8v19pb/xOSesNORobfqbtgsm/XIEh/Hn6u5/Rszx4lbc9Sw5q7tPK6Cuhbrgx81X+0oknP9elW\nWaAMI5BiIxKaWVvgVjxXIrn5FYAhoaS+fsrdamaNtd+QcFsh2U4EzjOzs/FGPbFmNlbSgQGCfQQz\nIqG7Ds91y5bxnLF4DG/VOAqOOgrvbnDrq1YNDu+zkltjs2k2sTr89RcJffuypW5HXq7XjVaPj6gw\n76OyXi9dmsAXX0Cf03pT88QNJNSvz2/NLuCeTRPoELmF9b0OYX1C1YnwecGktmQyC5o1qxDyFHW9\n77y8IhL+DgwDTiUMhoR58vfmYFwD8VEh5tBDSN72JSZ6v1oncW6uf6yQk5MjjRjh2aXs88YcRA6m\n/iuUX3+VJk9WxnEnamXva5S6KzhrS+VFIP13+YDdOjbq9yK3FVdUCOUIBNgjKRjedwvyNDDezK4B\n1uKLs25mTYHRksqyvuKoxPic8vI/Lqdf587lU6kZPPRQ+dR1MNKjBwDVzzqLQ82q1tqSj7Hja5KT\n05mAvlWrCEX6wsrNYHYZ0B7PZiM3yo+KiQwYDsxMxbXHUTkwg7t5mqd1T7hFcTiqND4fZ6XS6IHo\nyqOBwcBpwL5AF/JdOxwhIWVDCrU0ONxiOBwOPwSyjfdioJ2k3pJO9R1lVh6BhLT15atjZh+b2R++\n0LY9y1p3ZSTvAlhVpGD7YpvHEdGiWXiECQEHW/9VNap6+0pLIApkMV5c9GBzL/C9pMOBH4H7isj3\nAvCVPFfvx+BFJTzoWLBgQbhFCCmufZUb176Dk0CmsOoCy8xsNvnXQMoUDwQvpG1v3/kYPGeN9+bN\nYGZxwMmSrvLVuRdIKWO9lZKkpKRwixBSXPsqN659ByeBKJBQbU3JZ4luZoVZorcFtpvZO3ijjznA\nbZLSQySTw+FwOAKkWAUiaVreazM7CbgUz7W7X8xsCtA4bxLeAvz/FVZVEfIdC9wsaY6ZPY83Sjno\n9lsGxeinAuPaV7lx7Ts4KXYbL4CZdQUuw1tQXw18KmlUmSoOIKStmTUGZkpq57s+Cc/4sF8RZbo9\nvA6Hw1FCgr6N18w64I00LgW2Ax/hKZxTSyXhgUzC8/D7NJ6X34kFM/iUy3oz6yDpT6APsLSoAkv7\nEhwOh8NRcoocgZhZDvATcK2klb60v/aNBspcsVl9YDzQEp8luqSkgpboZnYM8CYQBfwFXC0pORgy\nOBwOh6P0+FMgFwCD8BwafgN8CLwpqW35iedwOByOikqRdiCSPpc0COgITAVuBw4xs1fN7IzyErAg\nZnammS0zsz/NrFA/F2b2opmtMLMFZtalvGUsC8W1z8x6m1mSmc3zHYVtSKiQmNlbPi/MC/3kqcx9\n57d9lbnvAMyshZn96DPoXWRmw4rIV+n6MJC2Veb+M7NoM/vVzOb72lfoRqQS911JPC/ixTG/Hvih\ntN4by3LgKbyVQGu8Ka0FQMcCec4CvvSd9wRmhUPWELavWK/EFfUATgK6AAuLuF9p+y7A9lXavvPJ\n3wTo4juvDSyvKp+/ANtW2fsvxvc3EpgF9Chr3wViiZ5X2eyU9IakPiV5Loj0AFZIWispC29a7fwC\nec4HxgJI+hWo49vNVRkIpH3gbYeudEj6GdjpJ0tl7rtA2geVtO/As9eStMB3nornFaJ5gWyVsg8D\nbBtU7v7b7TuNxttAVXD9osR9VyIFUgFoDqzPc72BAzu5YJ6NheSpqATSPoBeviHml2Z2RPmIVi5U\n5r4LlCrRd2bWBm+09WuBW5W+D/20DSpx/5lZhJnNB7YAUyTNLpClxH13EHmurzLMBVpJ2m1mZwGf\nAx2KecZRMagSfWdmtYFP8LxCpIZbnmBSTNsqdf9JygG6+lxEfW5mR0gq0iwiECrbCGQj0CrPdQtf\nWsE8LYvJU1Eptn2SUvcNRSV9DUT5tkRXBSpz3xVLVeg7M6uG9wX7nqQDbLeoxH1YXNuqQv8BSErB\n2xh1ZoFbJe67yqZAZgOHmVlrM6uOt814UoE8k4ArAczseCBJPp9blYBi25d3TtLMeuBtxU4sXzHL\nhFH0PHJl7rt9FNm+KtB3AG8DSyW9UMT9ytyHfttWmfvPzBqaL2SGmdUE+gLLCmQrcd9VqiksSdlm\ndgtedMQI4C1Jf5jZDd5tvSHpKzM728xWAmnA1eGUuSQE0j7gIjMbCmQB6cAl4ZO4ZJjZ+0A80MDM\n1uH5NKtOFeg7KL59VOK+AzCzE4HLgUW+uXQB9+PtGqzUfRhI26jc/dcUGGNmEXjfLR/5+qpM350B\n+cJyOBwOh6MglW0Ky+FwOBwVBKdAHA6Hw1EqnAJxOBwOR6lwCsThcDgcpcIpEIfD4XCUCqdAHA6H\nw1EqKpUdiMMRTMwsG/gdz/BPwAWS1oVXKoej8uDsQBwHLWaWIinOz/1ISdnlKZPDUZlwU1iOg5kD\nXI6Y2RAzm2hmPwDf+9LuNLPffF5YH8qTd7iZLTez6Wb2vpn925c+1cyO9Z03MLPVvvMIM3vGF9hn\ngZld50vv7XvmYzP7w8zey1PHcWb2iy//LDOrbWbTzKxznjw/mdnRIXpHDkeRuCksx8FMTTObh6dI\n/pI0wJfeFThaUrKZ9QXaS+phZgZMMrOTgN3AQKAznruSecCcIurZN8y/Fs+/UE+fr7NfzOw7370u\nwBF4rrZ/MbMT8HyjfQhcLGmez1NsOvAmnpuJf5lZeyBa0qLgvBKHI3CcAnEczOyWdGwh6VMkJfvO\nzwD65lE0tYD2QBwwQVIGkGFmBZ16FsYZwNFmdrHvOs5XVhbwm6TNAGa2AGgDpACbJM2D3EBHmNkn\nwANmdidwDfBuiVrtcAQJp0AcjgNJy3NuwJOSRufNYGa3+Xl+L/unh2sUKOtWSVMKlNUbyMiTlM3+\nz+YB02yS0s1sCnABcDHQzY8sDkfIcGsgjoOZQMKTfgtcY2a1AMysmZk1AqYDF5hZtJnFAv3yPLMG\n6O47v7hAWTf54k5gZu3NLMZP3cuBJmbWzZe/ts+bKsBbwIt4I5fkogpwOEKJG4E4DmaK3YIoaYqZ\ndQRmeksg7AKukDTfzMYDC4GtwG95HvsvMN63SP5lnvQ38aam5vnWU7bhjSIKlUtSlpldAozyxXDY\nDZyON/U2z8xSgHdK0mCHI5i4bbwORxDw7c7aJenZcqqvGfCjpI7lUZ/DURhuCsvhqGSY2WBgJl7A\nI4cjbLgRiMPhcDhKhRuBOBwOh6NUOAXicDgcjlLhFIjD4XA4SoVTIA6Hw+EoFU6BOBwOh6NUOAXi\ncDgcjlLx/y4xSBZPcI4XAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0xa68dda0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"order = 5; cutoff = 100; fs = 360; nyq = fs /2; normal_cutoff = cutoff / nyq\n",
"\n",
"b, a = signal.butter(order, normal_cutoff, btype='low', analog=False)\n",
"\n",
"filtered1_sig1 = signal.lfilter(b, a, Sig1)\n",
"filtered1_sig2 = signal.lfilter(b, a, Sig2)\n",
"\n",
"w, h = signal.freqz(b, a)\n",
"w = nyq*w/np.pi\n",
"h_mag = 20 * np.log10(abs(h)); h_phase = np.angle(h)/np.pi*180\n",
"\n",
"plt.subplot(3, 1, 1)\n",
"plt.plot(w, h_mag, 'b', label='Mag')\n",
"plt.plot(w,h_phase, 'r', label='Phase' )\n",
"plt.title('LPF Freq Response '); plt.ylabel('Amplitude [dB]'); plt.xlabel('Frequency ')\n",
"plt.plot(cutoff, 0.5*np.sqrt(2), 'ko')\n",
"plt.axvline(cutoff, color='k'); plt.xlim(0, 0.5*fs)\n",
"plt.ylim(-250,100);plt.xlim(0,200); plt.legend();plt.grid(True); plt.show()\n",
"\n",
"plt.subplot(3, 1, 1)\n",
"plt.plot(Time[:1000], filtered1_sig1[:1000], 'r', label='Filtered Sig')\n",
"plt.plot(Time[:1000], Sig1[:1000],'b--', label='Original Sig')\n",
"plt.title('Lead-II Signal') ; plt.ylabel('Amplitude [dB]'); plt.xlabel('Frequency ')\n",
"plt.legend(); plt.grid(True); plt.show()\n",
"\n",
"plt.subplot(3, 1, 3)\n",
"plt.plot(Time[:1000], filtered1_sig2[:1000], 'r', label='Filtered Sig')\n",
"plt.plot(Time[:1000], Sig2[:1000],'b--', label='Original Sig')\n",
"plt.title('V5 Signal') ; plt.ylabel('Amplitude [dB]'); plt.xlabel('Frequency ')\n",
"plt.legend(); plt.grid(True); plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 4- Create a Notch filter at 50 Hz & 60 Hz "
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0xbae59b0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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Tpk3ecVUMX4Gf3HHLiseNdwSOobweEGlmnZU/nDvAf4A44HP8NImxNKSmQsO66aQH1q1V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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0xc83d3c8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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fKz9fMitQwV/+GtBtgfy+HDWXsuqPEHVh7Q1be4FvKZFiWxBs19nAZN/+ZGBo\nyQSStkha6NvPBH6lij4gZ1x6EAOO3ELs3BmQnc2C6ds4+ohcLpnYm4vafcWVUa/Cc895iX3LmAD0\n6ppLKzZy/2vtuIUn4Jpr4PbboUcP8vufCIsWeaHe7roLNpY5SSz4zJjBnP530Lw5PHnyNM7rtozt\ngy/wyvDDD+TkwBmDc0l+5Nvq06mC5OTAGa0WQKNGAIy5MZ73s6qvGV4bGTUij6xHnoalS70mXEXI\nyIDYWCIiIDqygOx019pzVJKyLAswxPd3TGlbZS1WkfxT/B2Xkr49sBZo7CdNpSyzJK1dK+3ZI+mz\nz6STTvJODhwozZzp7a9fr1Ut+hfOWM/HJNCHnK3T+EQ38w893Gqi1tNaGj1aOvRQvXnz9+qcsFGP\nXbRIuxetlLZskVavVlaWNyls8+bA9dsvnkRBgdc6at5cma+9V6jXSSRrYe8rpGOPldq316S42wTS\n2Xyogvc/2C/f7GxvqxI//6w1D72hTgen6MGkmbqsy3daO2NFhbKY1bev9L//SZIuPD9fk21MFZUK\nPhs3St98sVunDdyjgl27pfXrpeRkqaBAO9elKSXFa5Cm7Nh/xl+w4oFcPDpfLzyeqqbRaco9oovU\nqpXyElvoiYsW6PffA8ykc2dp8WJJUlzDbO0ccWVAt1Xl9+UIP2XVH6GchVWVDZgB/FJkW+T7e1Yp\nBmSHn3wa40VBPLsceZV+uIVs2iQ1ber1ERx9tLRwoXc+NVUXRb2pGMtSSuujtfeNvYMmxVyhNvY/\nVzroIGngQL3CJYXn/xl9nQTaFXuQQGoVly6QFo7/MCC19nsBff65dNhh0vz5kqStW6XFP+72jNRe\n8vL0wE3b9Y/rVwmkP0XPlo46SurRQ7OfW6QhfTarR9O1Ainz/c+8exYvLmZR/vhDUk7OvjxXrCi8\nviurQLr9dqlZM+3of6aub/2h+iQsU6/ma3V45CrtfO7fAU+fntW5s/TNN5KkK6+U/mlXS7m5Ad1b\nHbzzQopAamo7dFjEamVHNJAaNJDattWKZsepCTtUjz0CqX/Et1KvXtKtt2r5Dc9q6Yzfdc7xbyl1\ne+nl+ekn6Ycv0qTUVKmgQB89ukQb1+fphUkFys7KlX7/XVq0SAXfzS38fzqnyczCesj8ar5AOrn+\nHN3555+Vv26D16+5YYMkr4twb5Vu3Sota3GStG6dJOm9cd9p95AR0rhxXpesH5wBqd2EwoCU6Uho\nZv8DyvTojhE2AAAUBElEQVSUkXRWAK2bQX7y32pmLSRtNbODgf1XDfPSRQH/AV6X9FF5MoPiSNii\nBcydS/K6dbBmDUndukFsLD/lpfBIRH+anNQV3lxM8pAhEB3NsgHTadMyj4/ueYIVV1xMq0vfg/x8\nOlx7LR8O/Iw/0k/jwmOuInn9iXDVVdwb/zQPpN3ECe2n8J8JH9Lt9XFw3HEkX3ABxMSUql9SUlLh\n8Y4dScwet5vhw4ZAWhpJwEEHwdKlc0n+1ac/kPzVV5w41Lv/jOth2dRfSY66nKS0NJ65bhn/w+ue\ne7D5f4m47mmSn+8IX3zBru538eeFDwPJHNFgHcsLroJzz2VWXh7j3+1Ch7iuHDWiC/e8uo7XOnzN\nqAULaNqmDeckJ3MOmzn88CSuPi+VHx6+k+hnHiBp1Sp2vvwBs2Lj2LxJnDzwJDp1guTZsyEiwitf\nfj7Jq1ZBTg4xMUnsio4jecYMaNgw7I54nROP4vqx8PAJtxF1XG9ueWwEkflpJH/7LezeTYe8Q/jy\n4FjOHzmT7Vvz+eqDepA3nuRnn+Xx2Q347NlDaMognut0Dv07bCYpP58Po0cy/Pu+tKi/k6zcwdzF\n38is/w9o0oT/bHqUs+/sAiTz3tgvmMlDAMwGZt10EynHPkKv3sd78n36/jhtM8eemc83n2wkoePb\n3FbwGMkSBe07cvLa1Zxz2M9c/8wmPv+qIetTruWN2FiSk5NJPOgHGizcCU+8RzLAP/5B0uTJ3v/j\nggXFnoej9lNtjoTAAH9bZS1WkfwfB2737Zc6iO67NgX4R4B5Vs40l+Spp/TwYa9oYtSNxb6gV9NB\nuxNbSxkZhV9wFSYjo/iXdVqa5/cwbJhyzxyqbdeP9/vl/dKkXHVstFkvJYzzojBVhoICFSz8Wfl5\nBfrtN9+5NWukoUNV8O57OjR6XeGX7gd/meP17z3yiHTTTZr/0frCa50br/M1Ucpg2TJp0iRp5kyN\nbfCKoi2n8N5NTY+S+vbd17pJTCzM6847pYcbPlhjZgZkPfq0Fg8t3wdo1y5p587i5775RjqkSaam\nv7ZJ94xZp4L/fiR9+60mjpmnm0du1JGJ2zTl2u+8/4OJE6UnntCqz1bqijM36fUXMnXYoflexllZ\nUmamX/kbNkhbN+fry0/3SD/+6NXb1Kma8+pKtWywQ/O7jtFzEwt0jU3a9z/29dcqOK6fPucULa3X\nTfM4VssG3+BV0rRp0vTphc657dq1E95Hpdtq4dauXbtS/2+oQgsk0Jd9PaArcAxQr7LCSuTZFJiJ\nN7PqcyDBd74lMM23fzyQj+ehvgCYD5zmJ0+/P7BAWfLjLsWSpknRN5R80l6EwlCwfr3+xWXqxgIt\n+Mvk/S7PmjVLW7d6KnSpt0IZC1eFRo8A2LZNFR44ufaM3/Tuhf/V/I836aUHNmn2C0ulQYM8L+i8\nPM2KiCg0Jo89Jj0Y+3hhF4zy86WsLGV/PEMZ07+RfvhBmjlTs2bmad2qHH08fp7mTFmjV8+dppzU\nLOmDD6RFizxFqzRdSdIdd3gP/YsvqpRNuGOi33VngW6NeVaP/nWrbo0s4nm+cKGeaXKvQGrKdoE0\nLOJDr8y9ekmgnIn/1ABm6ZY272h+dB9vjLBbN619Z64uOSddO//I0Sfvf1w5xfbskVq29IxVBdm5\nU+rSNkPP9J6iG8fs1IcXvefV+4MPqk+nVN10SapAWn3T094Ne41mfr5275aefyJTqxemBySr1PrL\nz9ec5HxdPmidnoq/1zPwa9ZIbdsWJkn5eolAuoRXCvu5CyIiNYBZOphNAunfh9yqTGIKr/fgJ/Xn\na93Yb57m3vZ+hZ9LRQmpAcFbeXcDkIzXil4PnF5ZgaHcgmVAZszwnsy7B19f/EJ0tHTTTUGRURrp\nW3fpjqtTdLBt1przbteunXsKr82aNUvXJ/2iUbwpzZkTMh2qlaVLpebNtejTDXo3tmPxax07SqtW\nado06cajZ+oMPhZId0c+KrVpowLQNTGv7f3NCaRbm7yknY1bS506KatZG/WO+FEt2aj+8YvUIiZN\n314zuWJL2vz6qzeeFYSWULgNyKJFUuuG23TLgB/0WKMH9l1Ys0YFoKxeJ+pr+qtvxDzlESG1by+B\ndtFAIMWQKZD+Ev+y97CjopRNtA6NWC2QjrKJXnNrr9EPlFdekQYPDm5hfeTmevNMKrGK0X74q7+c\nHHlG9dNPvY+bXr0Kr/XttlsgbTpxZDGj/H23K3U8X+m2pi/qeL7SmpG3+f6Jb9WuwWfr8GbbdWLi\nEr19xYyqK18OoTYgy4DDihwfCiyrrMAi+TTxtTyWA9OBeD9pI3ytj6nl5BmUB7pxo/dkFn9TIp5y\nRkZw/hvL4eaLtgmkPjG/SE884Y2CpqRoZdM+2j5nScjlVyunn66LO3+v19qUWGesSxfl/PhzoXG4\nMOot/e+gy6RRo6TjjpMmTlT+nXcrefJaZW1K1aov13l1s369lJurggLpxce268d/zVebJuk6pskG\nrTziDOmyy6SpU8tVKydHyrnrPm+tqDrCoCPX6ri4JXql+a37ThYUeA/4Fd8Xcpcu0umne604kP79\nb93SaJIWvb5A3972oXZtSfOMxKxZ0mefafrkzRrad6OaRqfpQ86WmjSRLr008CmGXbt6E0JqO/fd\nJ912m/TJJ9Kppxae/n7qFn1Nf+lln+EdNEjq08dr0V58sTdB4oUXvJbyxo2F91W14VwRQm1Afihx\nbCXPVUpwAI6ERdL+BS+IVbUYEKn4ZKZwsPyz3/T1mBelTp28aoqOloYNC69SIeCzv05XHKn6/Ng7\ni1/o0UN65x2v7DNmeP0VVW0JbNsmXXCB8ho21rMnvuP3Y+CjD/P155gvpO+/r5rMmsTMmbqbBzW7\na4mWdUaG9/f5570v6L0sXRpw1mt/TtWKb/7wZjFed53Us6f/8TFJb92/XGmtu1Tv2zJUzJwpHX+8\nNGWKdOGF+87v3On9D2/c6KVZuTJ8OpZBqA3IJOAT4BI8H5BpwPPAcGB4pQV7LZsWvv2Dy2rV4C3f\nPgNIqk4DUmNITZWWLNGsBx+Utm8PtzZB58FxXj/1W2dcVvxCv37SAw9IAwYEXWb+H9vVLDJFc4Y/\nqd1p+4/lpKZ6v4xbWr0ZtBZnuLuwJHlfRVD8BRckipWvoECPnjBN5yd+rs3z1peafv586ZB6fyj9\n+deDrksoKLf+du6UGjXSw6cmK+eGEp79VXa0Ci1VMSCBhLRtAGzFm32VBGwDGuKti3VmAPeXxUGS\ntvre+luAshbLfxK4FcqeUlyniY+HLl3ghBP2hdetQww611sCrfmwE4pfaNAAVqyAECxkF9G8GQ88\nGMFJH9zMEc13oi1bi12/bZwXTnf0o128MHl1hRYtoE8fGDAgtHLMSBh1Gos4mhsGLuK1Wxah7OLr\nbb32dCqXR00m9orzQqtLdZGQQE6r9tz3+fFEtW9d/Fq9euHRqTqorOUJZKOKjoR4A/gTfftJwP/K\nkRdEu+yoLkp+5OfnS6mnnCP17i3dc09IZObmSi88n6928Sn6pPnF0scfSytXav3SDMVFZWrd8eeH\nRO6BxN5ZgyCt6HdxYVdV6s4CJTbM0KoxD5STQ+3ik6THVZ/d0vuhnzkVTKhCC6TciIRm1gG4AW8p\nkcL0qh5HwuOBs8zsDLxWT6yZTZG0f4BgH8GMSOiOw3Pcpk0Sg7+dyMvqCAMG4F0NrryoKDiy8xxu\nuAdaMRruu5PkFSvY0rYPzx1zOm0/erbGPI/aerx0aTL/+x+cnHQiDQevJLlFC+Y1PY3bV7zOEfW2\nseG0w9mQXHcifA79qic5zIVu3WqEPmUd792vroiEPwM3AgMJgyNhkfQDOBDHQHzUiD70EFK0fCkp\n3lfrVM6s3hk6n30mnXeet6BVkDmQ6q9Udu6UFixQ9s23adXIO5W51b9TZE0jkPq7cFSueravfeOU\nhLIFAuyRFIzVd0vyOPCumV0GrMMXZ93MWgIvSarK+IqjFhPviwzzby5kSHUG8zn1VG9zBJ+EBOje\nnXrdu3NouHUJEVP+HUVBQd0bp/SHeQbITwKzC4DD8Xw2Ctd9VjmRAcOBmam88jhqB2ZwG4/z+O6b\nvAF1h8MREswMSZWaLRKIAXkUGA2sBvYGHpCkP1VGYChxBqTukHHT/9HomUeIUAVjXTgcjgpRFQMS\nyDTeEUBHSQMkDfRtVTYegYS09aWLN7P3zOxXX2jbvlWVXRspOgBWFylZvtj7xxGxbm1YdAkFB1r9\n1TXqevkqSyAGZDFeXPRgcwcwU9KRwJfAnWWkexr4RFJnoBteVMIDjoULF4ZbhZCyX/kSEqBt2/Ao\nEwIOuPqrY9T18lWWQAbRE4BlZvYDxcdAyp3GWw5n482sAi+kbTKeUSnEzOKAEyVd4pOZB6RXUW6t\nJDU1NdwqhBRXvtqNK9+BSSAG5L4QyS7miW5mpXmidwC2m9mreK2PH4GbJO0OkU4Oh8PhCJByDYik\n2UWPzewE4Hy8pd39YmYzgBZFT+EtSfJ/pYkqQ7+ewHWSfjSzp/BaKaEyajWWoDj91GBc+Wo3rnwH\nJuXOwgIwsx7ABXgD6muA9yVNrJJgs1+BJO3zRJ/lG+comqYF8J2kjr7jE/CcD4eUkaebguVwOBwV\npLKzsPzFRD8Cr6VxPrAdeAfP4AyslIb7MxVvhd/H8Vb53S/euc+4bDCzIyStAE4GlpaVYWUfgsPh\ncDgqTpktEDMrAL4CLpe0ynfut72tgSoLNmsKvAu0weeJLim1pCe6mXUD/gVEA78Bl0pKC4YODofD\n4ag8/gzIUGAU3oKGnwFvA/+S1KH61HM4HA5HTaVMPxBJ/5U0CugEzAJuBg4ys0lmNri6FCyJmZ1m\nZsvMbIWZ3V5GmmfMbKWZLTSz7tWtY1Uor3xmNsDMUs1svm8rbUJCjcTMXvatwvyLnzS1ue78lq82\n1x2AmbU2sy99Dr2LzOzGMtLVujoMpGy1uf7MrL6ZfW9mC3zlK3UiUoXrriIrL+LFMb8K+KKyqzdW\nZcMzeKuAdnhdWguBTiXSnA587NvvC8wNh64hLF+5qxLX1A04AegO/FLG9VpbdwGWr9bWnU//g4Hu\nvv3GwPK68vsLsGy1vf5ifH8jgblAn6rWXSCe6EWNzU5JL0o6uSL3BZE+wEpJ6yTl4nWrnV0izdnA\nFABJ3wPxvtlctYFAygfedOhah6SvgZ1+ktTmugukfFBL6w48fy1JC337mXirQhxSIlmtrMMAywa1\nu/52+Xbr402gKjl+UeG6q5ABqQEcAmwocvw7+1dyyTQbS0lTUwmkfAD9fE3Mj82sS/WoVi3U5roL\nlDpRd2bWHq+19X2JS7W+Dv2UDWpx/ZlZhJktALYAMyT9UCJJhesuEE90R83iJ6CtpF1mdjrwX+CI\nMOvkCIw6UXdm1hj4D96qEJnh1ieYlFO2Wl1/kgqAHr4lov5rZl0klekWEQi1rQWyESi6wl5r37mS\nadqUk6amUm75JGXubYpK+hSI9k2JrgvU5rorl7pQd2YWhfeCfV3Sfr5b1OI6LK9sdaH+ACSl402M\nOq3EpQrXXW0zID8Ah5lZOzOrhzfNeGqJNFOBiwHM7DggVb41t2oB5ZavaJ+kmfXBm4qdUr1qVgmj\n7H7k2lx3eymzfHWg7gBeAZZKerqM67W5Dv2WrTbXn5klmi9khpk1BAYBy0okq3Dd1aouLEn5ZnY9\nXnTECOBlSb+a2dXeZb0o6RMzO8PMVgFZwKXh1LkiBFI+4FwzGwvkAruB88KnccUwszeBJKCZma3H\nW9OsHnWg7qD88lGL6w7AzI4HLgQW+frSBdyFN2uwVtdhIGWjdtdfS2CymUXgvVve8dVVld6dAa2F\n5XA4HA5HSWpbF5bD4XA4agjOgDgcDoejUjgD4nA4HI5K4QyIw+FwOCqFMyAOh8PhqBTOgDgcDoej\nUtQqPxCHI5iYWT7wM57jn4ChktaHVyuHo/bg/EAcByxmli4pzs/1SEn51amTw1GbcF1YjgOZ/ZYc\nMbMxZvaRmX0BzPSdG2dm83yrsN5XJO3dZrbczOaY2Ztm9lff+Vlm1tO338zM1vj2I8zsb77APgvN\n7Erf+QG+e94zs1/N7PUiMnqb2Te+9HPNrLGZzTazrkXSfGVmx4ToGTkcZeK6sBwHMg3NbD6eIflN\n0jm+8z2AYySlmdkg4HBJfczMgKlmdgKwCxgJdMVbrmQ+8GMZcvY28y/HW1+or2+ts2/M7HPfte5A\nF7yltr8xs/54a6O9DYyQNN+3Uuxu4F94y0z8xcwOB+pLWhScR+JwBI4zII4DmV2SepZyfoakNN/+\nYGBQEUPTCDgciAM+lJQNZJtZyUU9S2MwcIyZjfAdx/nyygXmSdoMYGYLgfZAOrBJ0nwoDHSEmf0H\nuMfMxgGXAa9VqNQOR5BwBsTh2J+sIvsGPCrppaIJzOwmP/fnsa97uEGJvG6QNKNEXgOA7CKn8tn3\n29yvm03SbjObAQwFRgC9/OjicIQMNwbiOJAJJDzpdOAyM2sEYGatzKw5MAcYamb1zSwWGFLknrXA\nsb79ESXyutYXdwIzO9zMYvzIXg4cbGa9fOkb+1ZTBXgZeAav5ZJWVgYORyhxLRDHgUy5UxAlzTCz\nTsB33hAIGcBFkhaY2bvAL8BWYF6R254A3vUNkn9c5Py/8Lqm5vvGU/7Aa0WUqpekXDM7D5joi+Gw\nCzgFr+ttvpmlA69WpMAORzBx03gdjiDgm52VIekf1SSvFfClpE7VIc/hKA3XheVw1DLMbDTwHV7A\nI4cjbLgWiMPhcDgqhWuBOBwOh6NSOAPicDgcjkrhDIjD4XA4KoUzIA6Hw+GoFM6AOBwOh6NSOAPi\ncDgcjkrx/3GUTCdOJQMuAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0xb428e80>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# create the 60 Hz filter\n",
"bp_stop_Hz = np.array([59.0, 61.0])\n",
"b, a = signal.butter(2,bp_stop_Hz/(fs / 2.0), 'bandstop')\n",
"w, h = signal.freqz(b,a)\n",
"filtered2_sig1 = signal.lfilter(b,a,filtered1_sig1, axis=-1, zi=None)\n",
"filtered2_sig2 = signal.lfilter(b,a,filtered1_sig2, axis=-1, zi=None)\n",
"\n",
"# create the 50 Hz filter\n",
"bp2_stop_Hz = np.array([49, 51.0])\n",
"b2, a2 = signal.butter(2,bp2_stop_Hz/(fs / 2.0), 'bandstop')\n",
"w1, h1 = signal.freqz(b2,a2)\n",
"filtered2_sig1 = signal.lfilter(b,a,filtered2_sig1, axis=-1, zi=None)\n",
"filtered2_sig2 = signal.lfilter(b,a,filtered2_sig2, axis=-1, zi=None)\n",
"\n",
"# Plot the filtered signal, shifted to compensate for the phase delay\n",
"plt.subplot(3, 1, 1)\n",
"plt.plot(.5*360*w/np.pi, 20 * np.log10(abs(h)), 'b', label='50 Hz')\n",
"plt.plot(.5*360*w1/np.pi, 20 * np.log10(abs(h1)), 'r', label='60 Hz')\n",
"plt.ylabel('Amplitude [dB]'); plt.xlabel('Frequency [rad/sample]')\n",
"plt.xlim(0,100); plt.legend();plt.grid(); plt.show()\n",
"\n",
"plt.subplot(3, 1, 2)\n",
"plt.plot(Time[:1000], filtered2_sig1[:1000], 'r', label='Filtered Sig')\n",
"plt.plot(Time[:1000], Sig1[:1000],'b--', label='Original Sig')\n",
"plt.title('Lead-II Signal') ; plt.ylabel('Amplitude [dB]'); plt.xlabel('Frequency ')\n",
"plt.legend(); plt.grid(); plt.show()\n",
"\n",
"plt.subplot(3, 1, 3)\n",
"plt.plot(Time[:1000], filtered2_sig2[:1000], 'r', label='Filtered Sig')\n",
"plt.plot(Time[:1000], Sig2[:1000],'b--', label='Original Sig')\n",
"plt.title('V5 Signal') ; plt.ylabel('Amplitude [dB]'); plt.xlabel('Frequency ')\n",
"plt.legend(); plt.grid(); plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"## Many Thanks to Dr. Wael"
]
}
],
"metadata": {
"anaconda-cloud": {},
"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": "3.4.4"
}
},
"nbformat": 4,
"nbformat_minor": 1
}
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