Created
January 29, 2017 21:15
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{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"execution_count": 61, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [], | |
"source": [ | |
"from __future__ import division\n", | |
"from pylab import *\n", | |
"from numpy import *\n", | |
"from scipy import *\n", | |
"import scipy.io.wavfile\n", | |
"import numpy as np\n", | |
"\n", | |
"%matplotlib inline" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 30, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"# Zadanie 1" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 29, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"10041.3623895\n", | |
"18\n" | |
] | |
}, | |
{ | |
"data": { | |
"text/plain": [ | |
"[<matplotlib.lines.Line2D at 0x110cae0f0>]" | |
] | |
}, | |
"execution_count": 29, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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0Cevo7agNuDGl9K/9lr+DXE+uHxQWpJTuA34FHJ1fdBRwV0rpqV7b3QzUA7/X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\n/UA+t9yyjszMwefdgvB8p7JyBaNGleLzpWAYr2IuInsDF5C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4CawCdDTtU+BXNDYatPjU\nTOL06XQiXRyE8+fx+yeRmvoo99//Ne6/X2fQIB+bN1cn5RoowhOvj5I1tnX9b8BOdH0zmnYC6A1M\nAU4AK4EHOXSoKmYj9tZzCJrQ9S1kZ48HanA4znbWhC2EO19Hj04AHmD48PKYDOZb+vZXHI40cnIe\n5sMPf82UKS9QVjbQ7i5ERKLEJouZMyezcOGl5OQUYXoJtj/uEiX0te6j0+kIEVyi+WGksnIFo0aV\n4vN5MIxXCfZdLC0t4v77dY4cqWXDhkl87nPFSTWFt5uqqrVMnbqApqbR/PrXfyNWwShY4IpGgI/0\n+zS8sKwxeHAB69f3YtasKXHd+xQKhUKhUCgUirDEGzIW70arVMfFi28LpDfcbl+MXBgWLVou1dU7\nZPnyFVJdvSOu1KSGhgbZuHGbuFyDBQrE9OEqF9guMEjAJ7165UfswyViphKlpGyV9PQxrdIbl0tq\n6thWPjUSVbpmRylTZnrJFRGn1ykSR6ypbddc83WZPv0KGTJkklx11RK56qplkps7WeCywHia2pz6\nBXfEnDLXnq/Rl7/8TYHLZeDAyR1+3m4vouzs0QJDJdgHL1b/vuD7wwMPPCQlJRM7TCFLhK9SV5Ho\nlMrO6Mg3KjOzSBwOb1RpfF3dHxFzfNx0051y00132jpGrHM1ZMhl4vNNkNZ+dKmpl3T6ndDe+R48\n+FJJTR0gqamXdPo9E22qb2epsi3XzPTL7Mh7TaU6dv/Nes574gmV6qhQKBQKhSJyzkuPr8zMIiku\nni3Z2fPENN+eF7PhfKTs2bNHNM0rtbW1trSXlTVKTBPx0dJi8j1MIEUgRZYsuSHitoIXEnl54T2G\nYl3QWYuOwsKZouvzJTPzQvF6+4iuF4iulzYfu65PF4djuHi9/RJ2DRTtE6uPUm1trei6R3Q9tVkg\nWLRouVRUXCO5uSXicIwU0wPMEKgQp3NU3PMsePFsGuf7JDv74uY5vHLl6jbCULxG9K0ZMqRCnM4l\n4nBMks4W6pFgHd+jjz4qTqdPrrhiSbuCsN196UoSadTfmnCCYUe+URMnXhm1KJ/M/rRHuDlpB23P\nVfRm/Z35dJWUXB7T90xHdCaUFRfPEbd7m8AQgVTp129SOy0p4asnbEr4UigUCoVCEQvnpcfXsmVf\n4eRJJ0ePPo+ZqvR8wtMbVq3aishG7rlnmy3tZWf3AfKBM8A7wFwgFbgMqGbXrj9EnHYSnEqUkZEa\nkkbS1NRAWdl0DKMRXd8SdbqmlU60a9d3EfkN5eXDWL26Co+nCL+/P2ClQb5KampfVq+uVCkmSUKk\nJZUr1tS2rVt34fdfit+/nmuv/SYiwlNPbea55x6nquoOXK5sTA8wDXgBXc+Ke54FpxuaaYbrOXp0\nQvMcnjdvRpv02fZ8g6Ih+HyNHTuEDRsmMXhwVsh7YvXvM4+vgsWLV3SaQmZHX7oL4cZd8Hm2k3Cp\n7W3T4dYCwzh69AD792tEm8aX6BTRSGiZkxvYsuVp285l23Nlembp+lg8np2I+GNow8SaN+fOnQFq\nyM292DZvuY5SZUUETTvJmDHPAxcAG3C5us2jikKhUCgUCoWiJxKvchbvRlDEl8tVFvLLsstVZnvE\nV3BkSkrKTAFDUlJmxh1dZhiGlJRMkTFjZotZfbFAIFegJYIKpoimDYs6gqr1r+Pjx88QSJELL5wu\nkCHXXPOVmNI1W1fNMiPIuj4t6LNMrJFDlZVrwkTt7RHwiKYNDBlziUj9suaVyxU83heIyzVa8vKG\nSmlphcB2GTNmRrtpbLHMv3Dny6ysWi25udOjjvCx+pGVdaFoWkEgMm5UqxQyQ5zOoVJRcXVzX/Lz\nrxS4U/Lzr0x4pGpXkKiIto4q97VEps4Qp3OJ6PpkWyL5kkX4OWmIw1Eu4JGUlHzbxoh1rlJSRojT\nuUQGD74s6uqi7UXGDRw4WWCxfOUr35Kamp1yzTVfT1hab2XlatH1XIFccThaIqc7ij5WEV/df7Oe\n8x5/XEV8KRQKhUKhiJzzNuLLMAxaqhjuxDAM2yO+/H4/Z87Us3//Sc6dexnQOHfuZfbvP8WZM/X4\n/Z3/Qh6Ouro69u9/i5077yE1NQdNuwzTgL4lggr+E5+vX9QRVK1/HT92TIBqDhw4Aixn9+5dTJ5c\nFpExc0eGxe+9tw84AmwCioFNtleO62mIJLbKaGtijRyqrFwRJmpvN/AAup7GPfes5Nix44hIQqoD\nWhFfhuGjZbyPp7HxI0Ry+fjjFGAZH37owzB87Nt33Bbz6nDny6ys+hbz5o2NOsLH6ofLNQCR1UAv\n4L8C/bGoo6np72Rk+Fi58jZOnnRy6JBVLKDyvDTitjOiLVLTdCtSa9++59iwYRIeT2NIO3ZV4k0U\n4eekhmHMAh6gtPQi28aIda7aM+uP5D4WHBk3bdqvOXDgLUpK5nD2bB7wQ1544X2qq3fx0ku/YNOm\n6oQUP5k7dwZ+vwPoi2EUYZ4z8Psn4fX2UdHHCoVCoVAoFIrYiFc5i3cjyNze5xslsFPgtMBO8flG\n2aoYirT4meh6eUj0gK6XxxU9EBy5YEVomRFssUXX+P1+GTNmmvj9fhERmTp1rmharmjaAIF8gXEC\n0wTMYgAOR3FEUSYd+bmUlc2WMWMq5Oab7xCHI1WGDp0Yl+n/+UAyvJvCmUvn518pGRnDJTe3JKqo\nENPg3SqwsEDAL1AifftOEPDIddf9v6iNqKPB5xsfNK4apFev4WHHWnu+dZEQ7nylppaKw5EvDscF\nkpp6adyRZC1Rcda/cwR2iK6Xi66b0V2QLrW1tYH3xl8soLvRYpw+W7zemXGfU4vOPKXC3YMNw5CM\njPHi8TyUcK+uWAsVtPc5c3zYV3ghFqK9j0Xis7Zkye22RX5VVq4Wj6evpKV9TqAiMO+subdHwCv9\n+08J+1kV8dX9N1TEl0KhUCgUihg4L83tv/CFxUk1ITZTsh4SGC/wkLhcpVG3EbwAD5fq5HKNFpgk\nsEngQoGaiPv0yCOPCKTIY489JiIip0+floULl4qmXRRIv8oLWURp2nTJzb0o4kVU63S3kpLLmxcx\npoi3TUaMmHpeVKmLh45Ssewi/CKzVsAjK1asjEqMHTKkIjDWZgS145NevUYIbJevfvXWhFYfDDeH\nw6VWxjPXw5+vBvH5xkla2kxb0uGs49P10QJbBHoL9Banc7SkpVUIfFkgTcx05hFid7GArqC1cGOd\n5+zsClvOaWvMcWFW7QOjQ8GwtrZWNK1AVqyoskWw7UjcilXsbu9zxcVzBC4KjJmLEnIugwnXt1jv\nYy1zd42Amcpsic1mEQuPZGYWRTXWWx9fZeUaycwcJFAkmmals84RmBz47iwR2C5e74iw7Snhq/tv\nSvhSKBQKhUIRC+dlquPTT/+EgQMzkmZC7Hb70fVfAv+Frv8Stzv6FMdgQ+9wqU5XXjmJsrJ0xo37\nFXAD2dkPRdyne+55GKhm1aofAeD1etm9eydOZz0wCigAnFjpMyKvous5EadYtU53+/jjP1NdvY2i\nopmB9KMy3nnnLfr3vyhiQ/7zhUhTsewivLn0LuABjh1rxOVyIRJZyuXYsUMoK+uP230M0xR8ATCa\nxsYcYBk///leqqsfIDt7YEKuaTgj8XCplfEYjoc/Xy769Cmkd29vyHtjTYezju/KKyeycGEdCxbM\nZfjwATQ1fczJkxrwJ+AHQHpgs7dYQDgiHQOx0tpo3jrPTU2fhrzPrhRDw2jC7a4EHsDtruow5Xbr\n1l2IfI9f/vIVPB5PG0P0SLHO4d69e9uY6gfvK5a0zvY+V14+iLKyDNatu4jcXGfIa4lI17Su4/XX\n3xTzfUxEuPnmuzh48GM8nh0UFr6M0zkFw/A1pyibRSweYPjw8qjGeutxVlm5gmHDRgLFiGQH3nUS\neA9N24rT2QdYxrlzuQm7ByuSQ4JuXQqFQqFQKBSdE69yFu9G4JdAuDuhUTWtWbRoeXPKxsSJC+KK\nHgiX6tRZNFi4X8itdEanc7Ro2sWBSK6LxekcJZAlLldBUHTJJQJT2kTSdIb1a/s113w9JN1twIBJ\nAoslJWV6oL0vC6RKr17DurWBdCKIJRXLDrKyRgoUia6PCqT7tKRDZWYWicPh7TAKJdiY3YxEmigw\nUkKN2W9vHvPJuqaJSq0MZ2KfyKjRu+9eJZqWJ2baWouBv2l+H908jIVEp90GRwUF3790fYzAQ+Jw\nlIumbRKHY4Qt0Wyd3YPbprSaxRr69ZsYc0SddQ6vuGJJSARUuPTZSFIRo/1cMqKareu4ePGKmO9j\ntbW1ousegdAoO5drsMSbsrl4sZme37bQxXyxUophuECfwD2s5dgdjsmSmjpAvv3tVc3tqYiv7r9Z\nz3n/+q8q4kuhUCgUCkXknJepjrBXCgoWyODBl4nH00dWrlxt/5mTUN8aj2dGRIJUZ205naObhQor\n1Sk3t0QqKhYFFh1mupnZx/YXHVY6o8Mxuc3D/uc/v1jWrdsiDoeVKjNZoFygRlJSPie6vjmiRVTw\n4rntom21tKRQlgUEkxHnZZW6SEhE9cOOuPrqr8nChUslP39em4WqJRB0JA5bgl1+/tyAOGql/YX3\nF0r0XLOI1TOpM1pXm1u0aHlC/csaGhokN3esmOnLIi1peiNF0zZJYeHMhKZoJyLttj3hZvDgSyU1\ndYCkpl4isFws70Wfb5yUlc2OSzSNVCxqK0Cb/U9JKYtJgK6sXCMpKX0FJjVX9LX2G3q/Dp17He0r\nWpE8UeOz/et4mWjaiKjvY6Y4dUWb8TZkSIU4nUvE4ZgU1XkKPr7s7HkChmRlzZGcnHLRNEvcmhO4\nR5WIrq8Xr7dEYEzIfsJ5cSrhq/tvSvhSKBQKhUIRC+ep8FUnYIjbPUgcjlR57bXX7D9z0tq3plYg\nVWCJ5OfPi3oxZbXldocadbvd05rbMsUT8xduuD2iRYfLFWq873KVi4i5eND1YOPyr4umjZJBg2ZJ\nauoAGTHikk7bDvbvqq+vb7VoWxUQvkYJTA+IdReLro8Wn69I7r57Vaftn08k03MumBbvo5nS2lcn\nkuiKtsbsFQJLpMVfyBRssrImJ3SuWdgZqWQtoDMyxkV1Tuxi0aLl4nCMlmD/NNObKFN+97vf2S62\nxRqJFCmdCTclJaF/t0P8jUYsanvPM0TXp0fV/5YfOy4Tn2+ChEZAiqSmXtK836KiS2Pqb7JF8ta0\nd06zs6cIDBW3e1un97HKyjXi9fYRXS8IjPGW8+1wDBevt5+MGHFJYFzMi6q/HV3zlkIXpsBaXDyn\neR6ZXpw7BGYJ7AjrxamEr+6/KeFLoVAoFApFLHSZ8AXcALwNfBrY/gDMDnrdDWwGPsE06dgN5HfS\nZpDwtUfMinSJNRMXEUlPnyhmBMFdAp52K0ZFQrjFkrXYMtPWZgbEhlkRGV87naUCW8ThKBPYIk6n\n+bDfEnEyQzpbMAbTWcpQdrb1632DmOmT1rkxUzd1ffJnLt1RJHHRGe1hRUYVF88Rt/tugRTR9QWi\n65Ojut7FxXMkJeWhQKTHFoFicTqXiNNZFiLYpKZemPC55vf7JTvbvv00NDTIihVVYlY1jfyciNgT\neWYYRuC8bhZdHy6wXTRtcMLOY7LSbtsrdpFI8TcSsSjWe17rNkLPYdu+WqSljRPYIh7P+Kj6G+l5\nSlT0o9Vu63Oanl4mUCETJ87v9D7W0NAgGzduE59vXBtxMC1tpmzcuL35fEc7LqzvILPScUu7LleZ\nOBwjxOncErYtn2+kOJ1LpLDwEnE6l4jPN7JN20r46v6bEr4UCoVCoVDEQlea2x8A7gDGBrbfAM9q\nmnZB4PUHgHnAQmAa0Af4t0ga1rRZwFJgDIkyE6+qWktqal+czkJOnDiBqeF9DDzAgQMHSE3tH9O+\njh07DmzF45nQbN5tGd+L+ICXMY2vX4rI+LqwMIWFC+s4ePDXLFxYR2FhCmCaTc+YMYG8vFAT6M4M\nkoNN+E1j4t3AA3zyST2VlbeTlZWOx7MTn68UeBc4AZhmyPAX/P5jrFp1H6tWrYv63PRknnpqM9/4\nxlK8Xm/MZtrRYJk+DxyYQVnZ/wDVjBsHHk9jyPs6u97l5YO48ca/A0eYMePXXHXVJWzYMImUFAdO\n5zXAHGA0Z85kk8i5lp8/jN69p3H0aLpt+3G5XBw9eg5ICfl7JCbhrU21o8HqT0bGCEQOARvx+48C\nzyDSD1jGj370e7KzJ9h6HsMb+dtvin727GmgmpSUoaSk7ODs2aPNYzFRBUfMfdaQm3tx832zNbHe\n81q3EXoOm4Cd6PpYPJ6dfPLJB80m8A0N9YCLtLR8vN6tHDjwvxFdy0iLNcQzBjvCavfs2dM4ndfg\ncBSgaZM5fTod+BX79+uMHn0Vq1bdx7Bh/cK2sWrVOtas2UB9fRPm91ULZ84c5OjRI83nO9riFNZ3\nkGEYwE7gUmAnhmFQWlrE/ffrYduaO3caGzZMYt++59mwYRJz506L/SQpFAqFQqFQKD67xKucAUeA\nxZilzeqBzwe9NgwwgPEdfL4ckPT04dLinWNumjZRKioW2RbVYP2ibRr05ouZPmNFY02RnJyLok6f\nKS6eLW73aIEdkp9/ueTklIuuF4jTmR9I0Qk1voaR4vX2iytFKZypdyTHG5oy5BcokcGDLxNdLxCX\nq1AGDbpU3O5yMVPiLP8iQ2DiZzLiK9mUls4Q6C9paaFpfKaHXI34fBMjvt6t/aAqK9eI291bcnIm\ntkr3Mq+z13uxrdfYirLR9ei8gNqjbdTiHIEHRdfLBGokK2tCp23E45HVktY8VUy/q7mBfy8PmSsF\nBdGnTEdCotNuTb+0+aJpXrn11rslLe0CsVKi7Y5OCt1nqEdbe1j9LyycKbo+X4YMmR31/qw2UlJG\niNO5RAYPvkxqanbK1Vd/LWFRdVYklt/vl5tvvqvZ2N3u6EBrbA8aNEU2btwm69ZtkbS0mVH1p2XO\nlorpIbkp8J28SXJzJ9sypn2+UWL5xcFO8flGxd2mivjq/hsq4kuhUCgUCkUMdGXEVzOapjk0Tftn\nwAv8ETMCzAn8e5Co9hfg78BFnbV36pQbyGn115OMHTvKtqgGl8vFLbd8DZ8vtbn9lmis/+TYMQdn\nztTj9/s7bSs4iqq+/m3gOg4deg6nsw/r1n2Pe+/9Lh5PEeAg+BduTXOwenVlVOXfW6Pr9cCb+P0H\nuPdeiSgKo7JyBVlZ/YAG4BngDeAjjh8/w7p13+O++77HmTNu6uvrAD9QB2wC3sDnM2yNLlG0YEUS\nlZTM4aOPfEAVp0/3CkTmaRw8+Ay6Lixc+Db/938vdBhdEdzWL35hRuxZUVZbt/6Yiy+eitOZy6lT\nr9ES0WFe55ycJtuu8bRp83C7+/Ctb9Xg958Jee3gwX3s2vXT5v2ICLfc8m1rcdQubaMWBwEp5OQU\nsnDh28ycWRb2cx2dk0gjs6qq1tK370hqanbT1HQaMzJVD/yrAXuBLUAdGRmOhMyVaCNsIiH43Jw9\nmwecQiSHDRt+ysmTmUA577yzl6KiSbZFsbXd5w954YX3qa7exSuvvBx2HyKCpp3k3nth167vIvIb\nBg3yRb1v6xweOVLLhg2T+NznivnGN5aya9c2brxxCfX1R0Leb0dUXV1dHTU1m8nMHER19W6effYd\n7Ip+DDe2z5zJ5cEHn+EHP3gAl+tsVP2xIuM8HgNIw/zuyqBXr43MmFGKy+WKeL62R2FhPzweoXfv\nK/F4hMLC8NFn8e5H0T1Rl1OhUCgUCkWXEa1SBozEVIwagaMEPL6ALwBnw7z/dWBtB+0FPL6KA1Ec\nDwmMF6gRTRueEEP1IUMqBC6USCpGdUZHPjXma/b8wt024uVhgRTJzx8ZcZTaokXLg4yEzQiB9PSy\nMH2ZI2BWEdT1K5Nm6v5ZJLyHU2xG2ZH4QYVe4x1iVnvcLunpbU2jo8Hv98uYMdPE7/e3qk5q7WeW\nwCZJTR0rp0+fbv5ctMb30ZqI2+GRFdqG1Z/RgYiYCwWmCqSKwzHd1rmSKD8oi4aGBqmouEY0zYoE\nvSLQN6vKXnxVFNvbZ7TXI3iMJKKypbWP9kzg47kO5vFukby80RKPT1k4wp9LQzyeEVJdvSNQuTj6\nKEErMi4nZ7xAqvTrN6n5tXgLVUTqmxjNflTEV/ffrOe8xx5TEV8KhUKhUCgip0urOmJGdQ0OPMis\nBg4BwzsQvvYAazpoLyB8ecWsKOgT0AU8MmDA6ISk1y1atFzKymaLwzFKOqsY1RkdpSAVF88RTWtJ\nGdG0TTEvjNsuci4R2C4Ox9CIF0+VlWvE4cgXmCiaNk1aV0hzu4cIFAmMCLTvF5druHi9ZUmpmPdZ\nJlTQmSOatkl6954lKSkPSXr6cLnppjsjXni3Jw4ZhiEZGePF6bxaIFegXDRtipjVVGfEVSnwkUce\nEUiRxx57rPlvZnXS5c3Cr8NR0mahG62QEWvKnx1V98w2rP6UC2SLwzFCHI6RAtvF6SyV1NRy2+ZK\nuMW/3WJYfX29pKSMCAj0QwNCXp4EV1GEKZKVNd7We0Ak18Pqa2npJRIuBdjOSp7mOAxvAh+NCGMY\nhowfP1Py8oZKVtaFzaKipl3cRtDOzp7UaXuREHouawU8snfv3piLc1ifu/bab4mVPmmRKOGxNe3t\n54knnpD58+eHbNOmTVPCVzfflPClUCgUCoUiFrpU+GrTALwEbAUuwcyRS2/1+gfAzR18PiB89Q0s\nKM2HbRiUsBNoEUnFqM4It7iwFmzXXPN1KSubLevWbZF16zbLmDGXxVUZcOrUuQLZgWiTiwOL0mni\ndI4STcuVqVPndvj5hoYGycq6UEwPL2kTeXDVVctk4cKlkp8/L2gR5ZPs7CnK4yvBBAs6Dsdsyc01\nI6NWrFgp4BZdT404yqI9cai2tlY0rUC++c27Zd26LeL1XmxbBEpJiSnEDh16SfPfTG+yLaJpodVJ\n20YvRi5kRLuYD66UGa9HVnAb5hzsHRCMLIFogej6aPH5imyJVA23+K+trRVdT5V//ucltohfVqST\n6elkeZdZVRQT513W2fWorFwjWVmDBUokK8uMsjMjCOMfr9aYqKxcHdE4jEbsqa2tFYfDK2VlF4vH\nY/nBWT9WWP0oF5drS0w+ZeEIPpe6fmVcwlS4uZmaWioOR744HBdIauqlCREe29t3JPtREV/df1PC\nl0KhUCgUiljobsLXvwM/Iry5/VAiNLeHzIAgMzVhUQatifUX8c6INx2kPU6fPi2pqUOldREAh2Oy\nLFy4NCSFLJjgBUV29nSB4R1GHrREENwmcLmkpY2xtR+KtrQ3Fs1F9xUSjdF4x221LIrT0yeGjINo\no6CmTp0rmpYrTufoQESLIZp2cbMQ63AMEBgmX/zijbJw4VLp1880oLcj/TBSrLk4a9Y/xz3XR4yY\nIj5fkQwefJk4nVPFjBYNFZF1fXJcfehs8V9aWiFwl2ia15b7izkmpggMFZdrS0DIWy4wrVn4hr0x\nRch1RGf33oaGBpkwYb6EpgfGH7Un0jImXnvttXZTBSsqro5JhDHP510C7qD7rHXcZrRgcfEcW79v\nWsZlhaSlVcQlTIWfmw3i842L2iw/WmK9Lyjhq/tv1nPeo48q4UuhUCgUCkXkdJnwFUhtnAIMCHh9\nrcWsDT8j8PoWYD9wMabZ/e+B/+ykzYDwNVHMCosS9MCbmAppiSaR6SCLFi0XXQ/1JnO5yjv8TOiC\n4vaAcLY5bOSBVf1R0yaJppUL+MThKLf9131F+1RWrhGvt4/oekGgwtoCgT0CHtG0gVGNFt3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W8I7hwpN9vyQ1lGG4GXCIzTSbBwG31SZMWngU9a0hm92ZcSRGAehdjP6urlaV0vkTRN+jVZSdia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npN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\nx3Mzzz67nuuuu4X27XuxZs2b2O2Z1DV4qfrU9QHo+gPAgmYZTQ2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nyNy5SyUn5wJTQ+Iz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/fnd9y48XLoUN1zfvMb1e6PR1mZyO9+p+qhvrIZhtjPPlOvBQX+Y7WNNMOGiaxcGfo+lZVN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\nP735b4weHe3/5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| |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x10f076390>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"data = genfromtxt('./spots.txt')\n", | |
"size = len(data)\n", | |
"\n", | |
"T = 1.0 # Okres\n", | |
"w = 12\n", | |
"t = linspace(0, max(data), size, endpoint=False)\n", | |
"\n", | |
"signal = abs(fft(data))\n", | |
"sig_max = max(signal[1:])\n", | |
"\n", | |
"cropped = signal[1:].tolist()\n", | |
"i_max = cropped.index(sig_max)\n", | |
"\n", | |
"print(sig_max)\n", | |
"print(i_max)\n", | |
"\n", | |
"# Pierwszy wykres\n", | |
"fig = plt.figure(figsize=(15, 6), dpi=80)\n", | |
"ax = fig.add_subplot(121)\n", | |
"ax.plot(t, data, '*')\n", | |
"\n", | |
"# Drugi wykres\n", | |
"t1 = linspace(0, max(data), size / 2, endpoint=False)\n", | |
"ax1 = fig.add_subplot(122)\n", | |
"ax1.plot(t1, signal[:int(size/2.0)])\n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 31, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"# Zadanie 2" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 41, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"name": "stderr", | |
"output_type": "stream", | |
"text": [ | |
"/usr/local/lib/python3.5/site-packages/numpy/core/numeric.py:482: ComplexWarning: Casting complex values to real discards the imaginary part\n", | |
" return array(a, dtype, copy=False, order=order)\n" | |
] | |
}, | |
{ | |
"data": { | |
"text/plain": [ | |
"[<matplotlib.lines.Line2D at 0x10f067ac8>]" | |
] | |
}, | |
"execution_count": 41, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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jwqtAK60q0NpQoPlKSlyK8vbmqexEmdNRAAAAAPhZyyYtdfdld+tP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\nf7Crjg6Lj59OAAAAAElFTkSuQmCC\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x110660048>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"A = 1.0\n", | |
"T = 1.0\n", | |
"F = 1/T\n", | |
"\n", | |
"f = lambda t : A * sin(4 * pi * t * F) + A * sin(2 * pi * t * F)\n", | |
"\n", | |
"# Sample\n", | |
"LP = 1\n", | |
"w = 20\n", | |
"TW = 1 / (w * 1.0)\n", | |
"\n", | |
"t = np.arange(0, LP * T, TW)\n", | |
"n = len(t)\n", | |
"\n", | |
"signal = f(t)\n", | |
"fig = plt.figure(figsize=(15, 6), dpi=80)\n", | |
"\n", | |
"# Pierwszy wykres\n", | |
"ax1 = fig.add_subplot(131)\n", | |
"ax1.plot(t, signal, 'o')\n", | |
"\n", | |
"_t = np.arange(0, LP * T, 1/200.0)\n", | |
"_sig = f(_t)\n", | |
"\n", | |
"ax1.plot(_t, _sig, linestyle='-', color='green')\n", | |
"ax1.set_ylim([min(_sig), max(_sig)])\n", | |
"\n", | |
"# Drugi wykres\n", | |
"ax2 = fig.add_subplot(132)\n", | |
"\n", | |
"fourier = fft(signal)\n", | |
"abs_fourier = abs(fourier)\n", | |
"\n", | |
"max_y = max(abs_fourier)\n", | |
"ax2.set_ylim([0, max(1.1 * max_y, 3.0)])\n", | |
"_x = np.arange(0, 20)\n", | |
"stem(_x, abs_fourier)\n", | |
"\n", | |
"# Trzeci wykres\n", | |
"abs_fourier[2] = 0\n", | |
"abs_fourier[18] = 0\n", | |
"\n", | |
"ifourier = ifft(abs_fourier)\n", | |
"_t = np.arange(0, 1, 1 / len(np.real(ifourier)))\n", | |
"\n", | |
"ax3 = fig.add_subplot(133)\n", | |
"ax3.plot(_t, ifourier, 'o')\n", | |
"ax3.plot(_t, np.real(ifourier), linestyle='-', color='green')\n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 42, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"# Zadanie 3" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 58, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<Container object of 3 artists>" | |
] | |
}, | |
"execution_count": 58, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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Zn5/Mm29+Ll/84o/kzTc/l/n5yUxOHhCGMVAEYQDQsNOnX8z4+CvpdC7nzsiw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\nYZIkSZIkSWoK/w/ueRmIKQ3mkQAAAABJRU5ErkJggg==\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x115412438>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"A = 1.0 # amplituda\n", | |
"T = 1.0 # Okres\n", | |
"F = 1/T # Częst.\n", | |
"LP = 1\n", | |
"w = 20 # [Hz]\n", | |
"TW = 1/w\n", | |
"\n", | |
"t = np.arange(0, LP * T, TW)\n", | |
"\n", | |
"fn1 = lambda t : A * sin(2 * pi * t * F) + A * sin(4 * pi * t * F)\n", | |
"fn2 = lambda t : A * sin(2 * pi * t * F) + A * cos(4 * pi * t * F)\n", | |
"\n", | |
"# FFT1\n", | |
"sig_1 = fn1(t)\n", | |
"fourier_1 = fft(sig_1)\n", | |
"abs_fourier_1 = abs(fourier_1)\n", | |
"\n", | |
"# Wykres 1\n", | |
"fig = plt.figure(figsize=(15, 6), dpi=80)\n", | |
"ax1 = fig.add_subplot(121)\n", | |
"ymax1 = max(sig_1)\n", | |
"ax1.set_ylim([0.0, max(1.1 * ymax1, 3.0)])\n", | |
"\n", | |
"phase_1 = arctan2(fourier_1.imag, fourier_1.real)\n", | |
"\n", | |
"ax1.stem(sig_1)\n", | |
"ax1.stem(phase_1, 'green')\n", | |
"\n", | |
"# FF2\n", | |
"sig_2 = fn2(t)\n", | |
"fourier_2 = fft(sig_2)\n", | |
"abs_fourier_2 = abs(fourier_2)\n", | |
"\n", | |
"# Wykres 2\n", | |
"ax2 = fig.add_subplot(122)\n", | |
"ymax2 = max(sig_2)\n", | |
"ax2.set_ylim([0.0, max(1.1 * ymax2, 3.0)])\n", | |
"\n", | |
"phase_2 = arctan2(fourier_2.imag, fourier_2.real)\n", | |
"\n", | |
"ax2.stem(sig_2)\n", | |
"ax2.stem(phase_2, 'green')" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 56, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"# Zadanie 4" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 63, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"[<matplotlib.lines.Line2D at 0x11db82f60>]" | |
] | |
}, | |
"execution_count": 63, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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7FLV0e6cCAICkNDu01r/d7ddc5sgDAAAAAkZGRjQ4OKhCoSCpIIk58oLOOUea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XQMHPj5L/vKy2/95X6J1WQGREREpExt7SgMH74Y7do9DwBo1+55DB++GIsWTUeZ1RglIiJK0ZIC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\nRU5ErkJggg==\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x114bc1828>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"w, sig = scipy.io.wavfile.read('./err.wav')\n", | |
"\n", | |
"sig = [s[0] for s in sig]\n", | |
"fourier = fft(sig)\n", | |
"abs_fourier = abs(fourier)\n", | |
"\n", | |
"fig = plt.figure(figsize=(15, 6), dpi=80)\n", | |
"ax = fig.add_subplot(121)\n", | |
"ax.stem(abs_fourier[::10])\n", | |
"\n", | |
"ax = fig.add_subplot(122)\n", | |
"ax.set_yscale('log')\n", | |
"ax.plot(abs(fourier[::10]))\n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"# Zadanie 5" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 65, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"1476\n", | |
"[ 1. 4. 7. 6.]\n" | |
] | |
} | |
], | |
"source": [ | |
"# FFT - Mnożenie\n", | |
"vec1 = [1, 2, 3]\n", | |
"vec2 = [1, 2]\n", | |
"\n", | |
"print (123 * 12)\n", | |
"\n", | |
"result1 = fft(vec1, 4)\n", | |
"result2 = fft(vec2, 4)\n", | |
"\n", | |
"final_result = result1 * result2\n", | |
"final_result = abs(ifft(final_result))\n", | |
"\n", | |
"print(final_result)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [] | |
} | |
], | |
"metadata": { | |
"celltoolbar": "Raw Cell Format", | |
"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": "3.5.2" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 2 | |
} |
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