{ "cells": [ { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "Xwsupk0kS6d7" }, "source": [ "# How to parse mp3 as an array of wave data\n", "> \"Audio in python\"\n", "\n", "- author: Dmytro Karabash, Maxim Korotkov \n", "- categories: [python, data science]\n", "- image: images/yomex-owo-Bm7Vm8T4BQs-unsplash.jpg\n", "- permalink: /audio2/\n", "- hide: true" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this short post we will share our experiences on working with sound data from python - applying Fourier Transfort to wave data from mp3 and use of some predefined filter. We will use FFMPEG (https://ffmpeg.zeranoe.com/builds/) which you need on your PC and in Jupyter, as well as PDUD and noise reduction technologies from (https://pypi.org/project/noisereduce/)\n", "\n", "As usual, if you want to play with the notebook - do that on colab or github." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# hide\n", "# installs\n", "#conda install -c conda-forge ffmpeg\n", "\n", "#conda install -c conda-forge pydub\n", "\n", "# pip install noisereduce " ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# hide\n", "# imports\n", "import pydub\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import os" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So, say you have a mp3 which contains data you need to process - in can be sound of a machine working, say you want to see if you can detect malfunctions from its sound - or a bird song. If you get a massive ammount of sounds - it is probably in mp3. We will load it via pydub." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Channels: 1 Width: 2 Rate: 44100\n" ] } ], "source": [ "#works with local data\n", "filename = \"../data/datasets_847828_1448297_birdvox_wav_00162d26-57e6-4924-a247-5f58963f1403.wav\"\n", "disk_file = open(filename, 'rb')\n", "sound = pydub.AudioSegment.from_file(disk_file, format='wav') \n", "samples = sound.get_array_of_samples()\n", "\n", "# get the frame rate\n", "sample_rate = sound.frame_rate\n", "# get amount of bytes contained in one sample\n", "sample_size = sound.sample_width\n", "# get channels\n", "channels = sound.channels\n", "disk_file.close()\n", "\n", "print(\"Channels: \", channels, \"Width: \", sample_size, \"Rate: \", sample_rate)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can see visualize it on a plot - your samples are in an array." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "\n", "\n", "#create a time variable in seconds\n", "time = np.arange(0, float(len(samples)), 1) / sample_rate\n", "\n", "#plot amplitude (or loudness) over time\n", "\n", "plt.plot(time, samples, linewidth=0.01, alpha=0.7, color='#ff7f00')\n", "plt.xlabel('Time (s)')\n", "plt.ylabel('Amplitude')\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And now we can do apply fourier transform" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "C:\\ProgramData\\Anaconda3\\lib\\site-packages\\numpy\\core\\_asarray.py:83: 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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qBPT1oi/FeX35PrnUMog7Sgvc8p6lmOZ9tgzUatG1BGna19uy9Fl1YWlcYO+CZRVpILipAEiab6y/EAE83Zf6h7OiWKVHVDUyhTq+avcIwdqXqPJQIR7dSxK47p+xYsLQcGqvBsX3L4mCuMTXrscchFfLR/8WWu6nCsi8AM85PbhyACRQKT2QGhGMKkhCzQJPeyVpJ1UELurSTBt1H2m9Q8yQyU2wp5aF7qBVmRAlrb9hQVqQHQcgFtvlJa9bXTW6a1d/edoOPBbOSdwBQSqypUNrqM09U25IwFu+O+WmFKe7icLSRoES3I7FgUXb1aRKsxhYTKMcJum/mvVVA9PGrJRqlCg8LSiUALz+fgC+Vn9bLBtxxU13TchrbCWkyru051rFPt3j+NH+RelntQOUe8DWfXy/vADPOWW4cgBMuOuOvqkt+KlKI8sRXUT6sxgkVdVkSkF7HilZYZXFmrGjwrcJJlBDDTTgz6oLSOMSqSBVy6QYmMura5noTj3WRTTtfzGI3NhnVZCnqb29bViQXIv2RklsIqkOr6fAoJ9kPYn1oW6zempZUanwVndaPbIsLy1ChFgQMcZTm4sqL4HxFFGBViOzIvTa0XqBWXH1GNGtRrl9n6yUHle1WVOlrKcY2u+zqa1JoeOcUFw5ALKTVHeOBmK1ArpvCgFgN4QKm6wEaMq+aKKOAkESiBbyniigutPYTltvJAqFkuCouq16EmvQ66hLC7AgdhxRGmyHTwRAYwiiwFSBAPb99LzanlxdRoDNnchyey0VttTxx2uMICuk6+wd9j3Vigo1UKuyyu2ehwBAlED/rAh6ahfINVPrb6XBeLVs4nnEPTTZNaWqSkXPlfelpYl8f81OK8Wy613i8/XPAPVGJ63Xi+yck4srB8CKpzRArG4JFXq6Ywf4eSrYo1IAooCNgj3ZlevnKOd6iHJTsoV6ImSQCF2JF6iLJc2e0eI3dYsAljVUbliaa9qCXK0J3YGr+0qzqVShqcss7wHVVYsBxNGlSf8pPb/2SCqG/DxmLk2sojquKbHCqsQtFJVFkN26tC5XRR3vozzXwHmsGB8n7imtDxGLaniOz6XWhn4nyAagko62eWn1FHE9DddhaBPFwR1AdslScr0RoHOCceUAWPM9TZdUF0n/DLsZomsl2TVHVFg3SexBdpMhcKUu5lgV6eejZdC3AGvebwtx/VzM+0dbaBYDS8Wc7osA1rjAuJ2to8pQ3V1pFbFaF0isn1g9DnFjadFgba64at/Wk5eS/juSYHJS+6HuO81y0rhGtHK0x1RjRYLVCJY+O7FYhH6XpgYKdd0lgfkg7qCYZjw1t17MQusWDybWi2Yt5aVlcKmyJuI+UwB8kp5zEvHcPKAthLWuAUiEkO7CdXfdt8dZLrtuVQiptZC4oyhRLHHHLseogNUUVT1vM227muI1ZXdP6gYKdm7tURTjChpvCHYOVWR5j4V3rgpC3UsilPO+NdRrphYf0O/ZahNetYPMGuuIWVhyj9QaABJFpPdNj0lccQCsniS0rYz0XsZ6h3H7s5MdO4e6DmOV+MSU02RH1pu0L9l7yiyOyTV+PrrMKbKX/oOlPu9falt3jnMCcMsBYHeBom6LmK2TJa4IEU7qf1ffPRKXTCWZPZqllMYdKBHasUAuN8WRl5ZppKmmqTtFLYQ45zrYmqMFMrXUz0LagKcWhqadaswhdSVFt0vTDoinMRmd8UC5BcbTXX4a7C6k4Z9aTjrvIq3+zvtyH1TpSTxAM8fSSXzdKvSsQOwXpUooxj4IqPZsLKvWTERFp9lcWqSXnC/GQybWXHG6b3M1pnuc1bR73mZmaKFgf/tm/hIdZ21YW8uBiF5BRH9IRJ8iojct8UJWIZ1WOaekqarQFtW6y8/NTaMKQYWluoNigFqUSDE0wawFbDpTQoVbMbBzqQLR49Lgb8tNJZ/XrqeUnE/dWjrzIba7lhiECvs0mK6NCGOKbnrO0P5uqnDUAtD7kc6lTkenZrlYJgPEVN1iIC1HpnYdtd6KgVkNsdOtfJf4PLEmdDZ3NTKrR11pmpWV5dbLSWsc9Htp4Z5aLdqHStNsJ7vAtS+wkhhdFoXxtKxXNgNuTTi3MWupHIgoB/BPAHwTgBcC+KtE9MKlXEwVQ9YxomJdQmZup3R2g7qTVLgXw7aLSYPWqlBUYMZdPNm/ru9f1xKFdxLw1jWrVdMS6FqdnSgFXYPu7FUp6bGamRVjEup26tv1AEQrJ32t3DQrhzKYC4zMuolCPFFMMR04s5iE9mtK24JQZrEMVajxd1IktSeJ666p7di47syUvipyTTZQ6yzLLWVYr5sOddKGfdo5V5sijq+xcrj6OLubtIAyBEvpdZzbkLVUDgC+CsCnQgh/HEKYAPg5AK9a3uWoLdhjtW7TFr6aOtlyJfVEuOcdV00qiEUZaDFdPJ/GIMgEXjqZTuslomtKBXHi0sl7ne+RtqjOOscH24Frl9RUUMe1UNJCu7GdtCqVKKBz63Safi/KpAK5l1gXyS5a4yvxfMHWrS4rXVeMT0xNMcf1JQpN3WOh5kQC/UysD0kK6jRNNab/yufVSlBLJu3Wqy6ntN36ZMdaiexekDkXoiBGV0TZdOInjnObcGTMgYgGAF4J4M8BuB/APoCPA/iVEMInlrSuZwH4XPL8cQBf3VnX6wC8DgCe85zn3PwV011pMbAmczHDpzQBqr5rrZ7WoKYOrimGsJhDziq4SQWwZguVbUWjrpaWNUN8vlaMA/aZuOuWl7VvkB7f22zXNOSJhVJIJlUMpte25jROES2f3AQ+YIHweP7UYkkURS5WVKzPqGWNar2I4M8KAEn6sLbJSC2S+DM9f4lW1pPGXGLKrX43UVKxEj3wseMrUrWtQX3t+VTY9VQ5Z4WMW5VmjOqKrCfc4O/q41JrUQHbz5KsrE5RpOPcBhyqHIjoLQD+EoDfBPB7AM4DGAD4UgD/QBTH94cQPnrM66I5r7UcuCGEtwN4OwA8/PDDN+fcVWGcCun0vfi67L7T53kJ1MECqJSxcNBAZZaDq54l2DrtCFkd7alFcHE3n6xLhW8MwOaIVoBes2rMNZT65rOCBWBWAlklFb+wmEnoxFea2tbT24IJxiSOEH89IblfZPcjWmBSG6EKLSpMsYoo6fGUKsmotNTiKjsuuSTTK7U8dEcP2H3R7xSVkqxFU5dLSQDQlFetd4lxkaT7bNPn+ze6YnUwao3orHHNeNKNhRbQ6e/flYRzm3CU5fChEMJbDnjvbUR0L4Bj2LbP8DiAB5LnzwbwhSVch0ndNGlqZWhY0Ktrp9zgXaNm8rRcNNJwjpJAqz7OGguIRndK1lYQMaVVd8Bjc830tmT0pwpIEcbFAGik8lmrueMOOVEMKmBrzdhRa6gAqsrcZWoNZX0gFCYAy6EJdI0ZZMk9mO6i5RqL2Vni60dh31NdOi03XtLBNQ1069zoGKNJ0mC77jCdnZG64bruNbUUJjuitDOrUUmViyYkxKQDQqvflrZFnyR/CzpvPKtMuUx2LPuqtyVFdK4cnNuDQ5VDCOFXjnj/PNiaOG4+BOAhInougM8D+DYA/+USrmPEAKoIoyiUYLvjYiAdR2Unqy0cYvZRboK06PNjFXAqAHUXXO2bQMt7pmjU3VSNxMXUszTTNM6Q92wnOt1PrJ/AO9XpkxIUF9eKVmTHOROQPkSTtqtIz69CWF0zWWnCUt1SaTBYXU+abRRjB40p1iy3GoO8D2SaDZWk/cagu/RIIiCmlkIVihynlklUsMnvC0gUllha2nKkGonlMrHvw18W0VJSpZ8G3OsxrPGfNhUc2OfTkatNzamu6Wd7mwC8WM65PTg0IE1EdxPR3yGi7yWiLSL6CSL6OBH9MhE9f1mLCiFUAN4A4NcBPAbg3UuMb5hQSwPIqgxiCmlpsQgV8hofiEFpjSP0O68VJtBBLKizQpQKsdAo+uYWalkXokz62/y6ClldS+qK0bX0tlgxqeWghW76vWKG1cB2+2kGldY2ZIkiie6ivD1PIs1CAvhcve2O+yiz6+h90bRVFeBqLWidR3qcrknTbjWG0XSsJCSCXJV1GuhPU1TLDaux0M/q+mKxnbQmDxLXiRP4tHVJkKFFtQW9p/JcXU6759my2vkiB6zrxPXlOGvMUdlKPwugD+AhAB8E8McAvgXA/w3gHctcWAjhV0MIXxpCeF4I4UeWea2YRhl3rzBBGoWLCMVyUyyDobW5yHvWhloFkRarFYmQVmVSbsgxopD0GLU8BmeTwLG4vPpnYEHvxKJIM6b0PKo4MrmWupKKAR+jcYfUvZTWOaji0O+tSiHWdJR2nCowVS6pIE4rrGNcIm8fQ7KrT62HlsLQzCX5neicBVVyMcspmcOgcSK1nNS6U4Gf/k674a1yA7GCPLUaNEEhVsyTPU+r42O/q4lNu5vssmLY+SJXUzvObcBRMYdnhBDeTEQE4DMhhLfK658kotcveW23jiwRFlluWUixGV2fvQFFH6jEx6yKY0N6/+suHHKcKoPeJjBuTJCrkIrCfLe9Ow8FN3bTudIaa9BMKG0jrjGK/hnOttH1kLSW1kZ4g3OcWtnf5p95aYonSwRya9csFsjkGqJrRRsBqrCOVlFuyg5AnLNNGcvdpub7qzv/GBsoEuuisHXE3X6S5ptmHem0Nt2p50msIg1+q8sMaLuJUmG/f5Hvk1pK1T6fv5KeS9FlFvj+jS6zoC8GMrJUlFdTA2HMSn2y07keWSPH/Yv8vbbuPb6/XcdZEkcphxoAQgiBiJ7qvHeyErjVFaKByTRorDvOvJ+4gzIgo8QXTyZce1v8/vAcv16KwA7Jexoz0PMDdh7N+skKDmKqwO1tWtA5K8QC2LOdfGis0Z+O1yyH7CPfvJd7A2l8Q5VZ2ltJg6tZwdfau4gYGNbsKACY5GaVgGy3rd9LffqhASiY8G2m4BgEJcIzrQ9JrIGYDpwoMP0dFNLCO20xDiTHiSXS22rv7PUagH027W0F2PVSF1WsItc4i1hv1QhxzkNoREkkiXP1GGgGVgxXjaQuQsefOs76cpRy+BIieg94D6iPIc+fu9SV3WrU35/3ZRKa7DK1bkBTG3vbiIIjCv5gu3yNKQAdn3pmAcuWYCzNZVFuJgInccGoQmhqKzrT+ENsa6HWh7qaxKUSlQ+ZwFWhrv2c+mfZ7aGCvX8msSjknjRVImyTWIjuwrUvk7qh0p27uuSmGkDOLCaicQl9rhPfYlxHlaikDJdDy7rS7rNpXQfQtg6me3YuFfrqSorFhpqppL8rdXUlQXI9h2aDzTRRJPtdaHdXDX7rDInpHv8Odr7INRD5kWVGjrMyjvrrTKuSf7TzXvf57Y1mIKVtL+JzdX3ILlfbZ6gVoMI4VjfDBKf6v8shsCOTzrSWQQW8ClcVdLkKS82EIqDYZDcPZeam6bpjoq9c3U799u5bK5qji6fHbqfhncDOE4mFlFgSaTFfb1vSQCXoPN3jnzpmNcYScrOuqlE7E4sk9VbdOZrNlQbve0lwP/7U+7jBLSvSYHNab6Gva0uQ2Nepb1XPqkQ0iK6/0/Q8IVEiGiwvN20DoKnEqlh0Hfp9AWk6uNUeMFSNWDkM7wLyrSX+QTvOzXFUKuu/vVULWTkxJjAwYZgKYA12Fn0WTjE4LS4WoOOTz21nH1s9ZCbs1WoY3MGvqZ9bA9naKTYKn0QYqjLSwTn9s9ZgLu50c5m+FkzJ9c+YYNedvs6BUCun3DCFU24kglsUy3SvrTiyQvz0Y3N1aW+kUZXcRzk2iP8+3lsJwqvrKZ9I6u3Qrtvftu9dbiTWkbi2tJdR3jd3kWY0pe3VU2sobTWiylSzn9SFpZZFqgy0Y68qlGg5wMaNAqxwJzv83nSPfxfTPY4P5T3+ffddOTjry6HKgYg+hviXP0sI4UXHvqJVoRlFKix7W4jugt6WBWmzwuoKNIjbTM0FkjaaS3eu6m5RodI/w0Ja5y2kAj5tn6HXAxAHAKnbRhVBXlrNhY6xrCemdDSWoSm06T9dr+7+U2ujf9amrFVJtlIrPpAI2qhYco59VPv8eZ0NUY3Y6qlhyjPU5rcvBlZM1j/D/YrSdNbJNVOK/W1gVLMQ3rtg1kK5YUVssagws9wCn8kAACAASURBVGvF4HtpSgZoK1UNdscUXynaS60j/R2pglDLQYvqFO3sqjQVfw/9nTrOmnKUW+mV8lMzk/6Z/PxrAPaWsqJVkZfs8knTOlU4ZAWQVdZiQesI8pKFnVoLMRgqWTjRnz1lwZz3eLc4umLpr2PZXWudw+gKrydVDpoiGae9BbTSSdPArtY5xIIs3SEncYkoyEqLC5SblpsfZ0sUpjS0CK/cbLu9KDm2vy07/TMsEPtnbUdf9IFaYiuZBHjLDVFeovS0M6paNGpxqOU13bX7Vm60ZzTkfbY6NFEgvYcAr0ctoTxRrGn67EwbD50fDrEor1oAX4cq6WwIjdfEWEoSzK4nfL91KFE1FveU46wvR7mVPgMARPSyEMLLkrfeRES/A+DvLnNxtxQN/KYuFO2Hkw7CKfqWjRM/K9aB7tTLjbYFUE9YicT6At2t5ubSAex6/KYFootBMm8ApgRipXaVWChJzEMfx5RcEXy6a69kEE8qRLVNdWwiOJDdf98sH722xk+KIUBXJI6gO+dggXN1/zS1tOCWuMbgLLA3NctB76VaI/1tGfzTt2worSdJCw0p57WoWy1LrAFt+RErtgNQnu0oSvAxebBr6EjR1B2l2U0xmylv379mCuSiELW+pKnNotLRqM2UXZNNY2t1nDVj0b/MTSL6Wn1CRH8WwOZylrQi0rx/bTinDes0eyi2nz4ADQJnIkgAtFpqp3MHiPi4uIuF7ZD12DQwSiIsu+0i0jTQ/pnkGlnb1aM7dVVGqeXR27Tji6EJ7jT+kvZo0nsVi/8St5IqRL1WGqDWOI1mI6nLSOs31ApQpbn5DLNeoqtNKqTTCnFV4P0zdg3dwfe328kCepwmCcSYS/JdVBEg/X113E/x96ButuTvQl2H6uLT34H+ruNsiCkcZ11ZNJfuuwD8FBGdBdvHVwC8dmmrWgmUCGcygZF2RM26t2uOosjLzvtkr7UUhQgbzY5S60KvoQKNJhb1iUKK2nGDuKNXK2dqO/80nTQbJgI7S76XxkP65rePri5RIum0vLxvsQnNIlJrK+6yZb29Ldv1b9zFtRO6Tk3fLaVqO9TsVkvbgPdEmTR1W6m0+kupQhLrIfZraoBSrl/JPWrN7lalIVbQ+GpbOaVxhpjF1Fj6crQGYJ8DxJU0FmtTLcCkJUcx4GvtXwK271vkj9NxbjkLKYcQwqMAvoKIzgCgEMKV5S5rRaQDaDTzRdNOu83pAMzG6qm980+b0gEdV1Rpx6Wocig3EKuD47nJBHUzNZdEOmsiKgcV0HrtPLmGxAmm1HZDzRSjlRJz0LkWwWIPmoqrMYneNmK/KS0G01TPat8EbDm02gPAFGccGqQB/qTNt06Ly0tWNr0tc1epq08VpgaD1c1T9AGcZWGsn9HzpjGVmDZbtBVoVxGrezEGr0sg09bk4o7Te9RqxCc1ENN9Th+uRq4cnLXmULcSEf11opgUjhDC1VQxENHzUnfTbU0h7gZNfcwl8ydt26ykFkBKS9Anrofo6knep+6tp/brqS86Xo/aj+P7iXJotX1I1tG9VgwkJ/GSWMtRWoA8dceoUEyFse6+NQ7RCnzndo7UZZP2l4pxkLTwTfsxJcI6NgRMMoXyPq9b6016m+bm6bqospJ/vzEjTS2mNJU2cTvpRqEYiMsrGeCUupRi1pN8B72fWlNRT9tKSy2r6Z4lHzjOGnKU5XAXgN8nokcBPArgAnjYz/MB/HkATwF401JXeCvRFEYVPOWQhUK60wXmWBHz3EsFUKd+6g5di+GoWEZUMkk8I74ngVbSdWkWThpATb9nzsqn5QLSGElp548+/b65UGI9Qi+5F5LSqTvntFBQB+3ENVPiiiosOJ0nxWRpQzytNaCMd9yACXwtGBzcwbtwVSaahhrdZ4mVoLMyir4VH+YbZglRLgN9Ls+3JMoko03jUhrYj+tVa09nXxRW5Kjtx+uJ1Wcc9rt3nBVxVLbSPyKiHwfwnwF4GYAXgceEPgbg20MIn13+Em8liYDsNqWbJ+AP+rwSs4Xy2UO7x7ZiFQecW4VMem7AWlVoem3a3kFdQK1TJZk6mgGl8YRW5pC4WnTAkcZP066oRR+oYPEaFY5x5GjiktNdv7rqdGeuYz1j3KOytWkrD8CO03va6iorSlOHKxFJfYpes2+KranMIkyL6DTAr4HyWCSn41DL9vnSWpZWBhNgsyY0WN1xQTYVu5hGV4DhHUf87h3n1nNkzCGEUAN4n/w72ehOW1s/gBILYIHdXcwuOvACctwht70cznkxdUvNsQZSIQ/A2k2gbR3MnDYJopYb3HFU3T9KXnABXOr20mynVhaXuHLU15+mgJa9xCpLM380RpOcWwPE8fo9+72khWtpAZveI800a2Ss5+AO2dmPrJq9HEoLkDKpfZDUW1VWeg9VGTVa6d2330F0oXVqYvTe6VQ6wBRPDEo3kposI0UdZw1ZNFvpdJCVAHQsZt4Rkp2dfatHj0AZEDrDXNT1kVL0DrYUDnIxdGsW2h9CrJVoXbMTEE+PB8Q1NLHPzHQoTYLZ0QLQAHDnfDGjJ7FK0ljC3NhLImR1DbHDa6J0tIqbMlZWcbeefI84jCix9rQWQlufpC63LOdGfloNP92z9iLasFCtg0biBht3WTYVtCI+WKxB3WVQS0EtuM50wdBYQ75qNP/37TgrxpVDShSGyU5QX8+7AnHuCdpPs447KRX8h1kPKZrFExvIdZVKGsgOyTEHKYYD1qPHpq6recencxZSf3rM/xc0VbXoJ1aNWgCJciyH1u5CP5cG1wHLMlKXV4xL6Dkza3GiLhy14GKNxdA+r0pELSxts6GFi9FdlCocYutD50bHyYHUrhPJEteadvNNrUkNXNcTdivVXuvgrCdHOtKJKCOiv3IrFrMWxABv4mLQdg3pMenP9gnsYVc5HHTcYaQZRfOIu/qO0kh36gdlV82cS+MTXcWi1ooqSXUHwQLbrWvIOcohZr5nzFBKrpe2rtZYQapIUtdNuq6ugm01OOzbuYuepQZD5mmr9RAD1qIUioEpGs1mKvqmWDQzSmMYaYPGWBOTm+USrQeye0tkLqXJzmK/G8e5xRypHEIIDXie8+lAq3u71dCt1NI5gnihcydC/noyVA5TDmnaaCvwnSiwhYLpmD0u/Z468EevlRd2DW1pEc/TUZ4z1cUHXE/X3QqiJ+c4KLDePSaNhyhptblWgqeB+Sy34Uwxs0mUXpHEYXoSuxickx5bMvFPlYpaEFp5rZlNMU1YFKMOBxpfnXMPHGf1LCg18D4i+gEieoCI7tR/S13ZSiBTDovu7IHODvaQgHS6Q17UrbQQc9aa+vEXVl5d4XvQ5444Lo0jpJZI3tn5H3T+rmLoojGP6PZRC6Nz3vQexyB3Ek9IlYNeTxVTWhwYW4NItlM5lDTnvgXhda5FGu/QrKy0Ir23aem9oZFRrI6zfiwqoV4rP9O50QHAlxzvclZMzJ4JC7piujvk61Aoi+7mu9eaR6HVxAcJ7eu0bIoDvntc8wEKkLpK4AjmZmbFk7XPCZglo4I+L4Gqab8Wg8EdZgb4SPV7Nx6QZiPlifKJbqjc2oxrWmx/my0Jnfc9TZovpu4wTe/VTCYithy8AZ+zhiz0vziE8NxlL2Qt0Gldef/GUgy1lfNCXIciOYxe0v+wm9qpHDqvOBW+B/w5pErm0CrvAzg09tKh6PHvIHUjZYkLq70w8+fHsZ4N6wYdHRoPzS2TjIivU09mT6uWQwxY55aGqzGJWDOhNSBaTV7avc579l4xsPTeagRksgkpN1iRVPvt36PjrAEL/e8mog0i+ltE9HZ5/hARvfKoz922FNLS4SjmWQoLu3Cuc6e4yHm7/ZMO4siCu0PWoFXQM9dIA9nddaXunQUVRZ4Grju1Gun605TjtLK6GzPS17rP0/XEoHuSfhvTU+V9LYTT76XupmLQHu2qldTa0kNjE2rhaLvzpuI0WsdZMxaVUD8NToj/s/L8cQB/bykrWhdutKXBoUVwCTc7XF4zqQ48f+Ia6sY3bvS76XnitTvnmat0OplUh1oxyWe6j1vf96DANDoxls5x3VYVrfuSuBQBu39qRcSxpUkfKyJ2KcXqbx1OJBZHMeRYhFoJ+k+L+bR9SOWFcM76sahyeF4I4X+GNFAIIcjA4xNImj+/VnSDvkf86lo74mP6Lt0+TIsonZuxrlLmBfBjDGKB70pzFE6c+pb8a11PFZPOwM5NWbSOTduGb7Qfb96D2FY8bV6o/3Skq+OsGYsqhwkRSRN7gIieB+Bkbneiy2AB98dxCb7bhs6OPL1HN+qqOvKSh9zPuVXXwNxgdve99H0tfGul42aJIE9eixZGGquRTCl1JaVT+nrb0mJcW8DLT7VQQgPsPXXIDXCc1bCob+MtAP4fAA8Q0bvATfi+Y0lrWg8Wcn/M4zZTDgspsxuMvxxEdoQiOepcR71/WJrwYXGIeVXe6ftaCKcpqhrwTovl9LvpPGrt9FoMbbxsMZAZEtKldeeJw7+P46yARbOV3ittu78G/L/n+0IIJ3S7s6CQOyjdc1lcd+rrglzPjn9G6N6gYllYkSS7+UVrLoADXG5zLIbWZ/L2PU77NCl5KQOJ5D7Eth9kAfS8ZwFmjStoUR3ACkKrsjUjyvsrOWvIQsqBiP4ZgN8C8IEQwieXu6QVc7OB4mWxDutaRS7+PPfewoqyoxB6mzZ8p3sMdZTDvBqMudMAkbi2tO+UdqSl9ujU/hkueovBaEm/ne4v+H0c59ZxPdlK9wH4MSL6D0T080T0fUtc1+3LSYw5HBR/udHvOne+xVHvpwHgG4h1tLq2HlCrcSzuLkmPVStCq6719VhBnQTT3XJw1pBF3Ur/moj+LYCXAvh6AN8D4MsA/KMlru025RQph0WYt8s/MtPqOiyUowLWXboWmD4n4us2i186uha7HXvjfA0tpktrMUqApqKIglVU19V6WIeOIyzqVno/gE0A/w7ABwC8NIRwfpkLc24HFlCENyPw5rXOuB6u5zOqxG7kOt0K8qy0FhnaoFAznNIZ10FbiweuyHfl4KwRi27RPgougvty8KjQL5fUVuc0cqtcZ/M6vR588M1dq0xmPdwUqetKzqVdfuPo1jxpAS/9nnyug7NmLOpW+psAQERbAL4THIN4JoAbzfc8udyMC+Z2Y9lK4na7lzo/Ip0fDSTT7SRVVmsgdChRaICxz5J21otF3UpvAPDnAPwZAJ8B8FNg95LT5XYTaDfEARXSp5YjqrL1PjWVWQ07T1gr7yz3uQ7O2rHo/+4hgLcBeDSE7pBk59RxIy3KTxOauprO4taeW8VQYhF9YFAC+09zvMGVg7NmLBRzCCG8FcAIwPcQ0RuI6Ctu5qJE9FYi+iQRfZSIfpGI7kje+yEi+hQR/SER/ec3cx3HuSXEIHbSjkM7uLbeh7mWtLur1jt48z1nzVi0Zff3AngXgHvl3/9JRH/jJq77PgBfHkJ4EYB/D+CH5DovBPBt4DTZVwD4p0RHJcU7Dlbrzmu1DBfyst1JVhVEHDe6bbMjssItB2ftWNSt9F8D+OoQwi4AENH/BE5r/bEbuWgI4b3J098F8C3y+FUAfi6EMAbwJ0T0KQBfJddynINZh1jPobO+O+mu2qFVg9PjK5b+6jhrwPX0IaiT55KOcSy8FsCvyeNnAfhc8t7j8trsgoheR0SPENEjFy5cOKalOIvhsYaFmFcAGF1NvWRQUB/YeRKY7Nza9TnOISxqOfw0gN8jol+U568G8JOHfYCIfgOc7trlh0MIvyzH/DCACuyyAuZLnbnTc0IIbwfwdgB4+OGHF5yw4zi3CppvBVAOoOI23vXY2myEBhhdAQZnb/lKHWcei9Y5vI2IfhPA14IF+HeGEH7/iM98w2HvE9FrALwSwF8IIY5PexzAA8lhzwbwhUXW6NxCltUh9qSjM8pB7b5LJK279y8Cdzxn1at0HABHKAciGoD7KD0fwMcA/NPjSGUlolcA+O8B/PkQQjpA9z0AfpaI3gbgfgAPAfjgzV7POWa8zcPRzO3rJEOFmmm7BoKIlcPueWB8jdNd/R47K+aov8B3gkeDfgDANwF4AYA3HsN1fxxcXf0+4v8kvxtC+J4QwieI6N0A/j+wu+n1IYT6kPM4znpyUIGg9lrSY3RQUN4Ddi8Af/RrwJ3P5/GiW89c3oQ9xzmCo5TDC0MIfxoAiOgncUy7+BDC8w9570cA/MhxXMdxVsZhBYJFH7HWgZLZ1JMdjkV89rc59rD9LP65+Qz+TN4H+tuzbccdZwkcpRxiN7AQQkX+B+k4x0DSvntwBw8AykoeBnTfVwJXPsPZS1cfBy58Auif5fdCAwzPAcM7+fnGPaI0ety471ZPJ3RONEcph68gIq3OIQBDeU4AQgjhzFJX5zgnFZJ6h/4ZLpYrh8DZB4C7HgLOPocVw/gKcOVzwN5TbGXsXgAuf5o/Q8SFc3c8CGzfb8plIIqklrhG7P4qeB2FsyCHKocQgv8lOc5xE9t5EyuFrOR/Z/8UC+/eBscdiIB7v5xTXHef5GB1/wy7lq5+nj+7e55nVo+vWkFdf5uti6ZmyyTvsQIanuNr9jbZRRUa8MAhGTwEGXgUgrutnIXrHBzHOU7UcqCkhcbwTntfp+GVQ/63cRdw7kt4alw1Ap56DNi/xApDp841laTEXgLqCbB3kRUFG/pSWzEFNu7mc289k91S1YgzpELDygRgCyQrrdV4U/GxTc2PtbmgZ1WdWPw36zi3HLK0Vt2hl0MJVB9AXvK//jbv7LeewQHsq4+zNXH+EyzImylbEtWYzznZ4cf9bT623ASmu6yM9i+yApju8nFb91kL8axgiyMrWalMrrHiGNzByqe3zWvXz1T7HFzvbfEaQO0YiFsjtx2uHBznVqN+f+3eGsL1zcYgYkVS9M3a2LgHQDCr4dKngM17gSuf5fNPxCU12eX3m4qPLTftcd7j8136NLuhMhH21ZjXev4TnGJLmVgbA2D4OWtNHmrOsBpfkcyqM2aBNBUfrz2lmqllaoXG6j0AXq8H2FeOKwfHudXEoLDMliYyJXG9qEDtb/HP3pZYFs9kAX33CzigPdnhuEQ9YUthfI2zoOoJOO4g9ReTXbYOxleAwb32mbPPYTfV7nn+3N5T/Jmm5vMVQ7ZYds/zd6r22booxV1VbvC5h3dKnEValdcTaRki8ZfelritcgBbpjTqyaxl5dbIUnHl4DjrQN7DAW3Erg+NZZSbErfoAfn9rJCm0oxgfE0C2DnHMMZXgdHTLICzgq0CbZESAu/49y5yQHt0Rd4ndlXtPimCvmFFgQG7q6oRn3vrGTzQqBjwcaPLbMVUI7Yy6glbI3mP1zE4x4pseE76TvVZeUx22RLRAH6o+XzlpvSo6vP9U8XrHW5vGlcOjrNKiERwHnMldJb0v9KgcblhmVKb95o7CGCBvXueBfLeRYsj9K+YG0pbjFcjFuJ9yWSf7LIbKMstljK8U2IfIzs/5Sz4m4rPPd1jRVJuAPmEn092+f3R0yzwe1vAxX9vcRDKgDPPZjfYxj2sOKZ7fM3t+/k79Tb5tawESpmpocrCrY2FceXgOKuEMvPDL/1aOmhIax+Saw7PifLI2K2k7q5qxDGHWoQ3EVsP2lV2f2hWQm8rcROBBXI1EvfTlM/d2zI3kyqn8VVWJvWULYtyCISClUQ9ZkUAYitkdJmvMdllZTY4J8ohsCssNMDwLgugb97L19VU32JgFeaUm+Ksq3bmVdO0FewpxJWD46wS7a0EXF9QehmoT7/csGBxuWlZULr7nuyyS2l8jesxdp5koTu+wlbH4EHOjOptmStLLYr+GXZF9c/we8M7WeDrtSkz91aQAHsIQD3i6073WTlN90zhTPf5s9e+IIrmLj5H7yK/1tvmuAjEFZZLMJ9yVopZCexd4DYl6parRqZE9Xs3jb1/CnDl4DirpuhLrcOa+MjznglAIgCS3trUvLumzLKlqjFXddcTduvsPMEB64272BLYe0q+W8mP+9sswPvb/PnpnrmLVPBmokiKAbuh6jG/NrnGx+48we81ddsVBYg7SrKcpmIx0HlxJ2WsBAoJfO9f4sD92QdYqRVDdncN7gCufZ7dVnnJCuauh1gZ1VMO/mvygN6nE2hpuHJwnFWjU+HWhXk7YyJzu+RJiql2lm0yTj3dvJcF9+As77437maLon+GA886O7sYsrCf7PJ3H97FArl/tj0tr38GQODXp7u6GETlsX/JKrwn1yyw3ZfrN5Wly6pFMr7Kx9YT4OldeS7ZXEWfA+jXPi/1IWe4bckdz+VjRuK6Co3UnvQtHtOAX1PFcSPKYo1iIq4cHGfVZOXtNUApFV5q7ahrrBgkVkfOz9WF09sCQMA9X8ZCeu8CC9edJzh20NuSVNltFr7TfauRQLDMpN6m3bPJDrB9p1goOVsso6dFUYjgrhpew+gyu472LrDiKDdYAYwuswVST1i4D87xOuqJWRNXPitV5xfs3Bt38/k1k2p8ha2OSib8pZlTem9UwTYSb8mydmbVovUd3RjJEnDl4DirphisegU3jwqqVHEUvVn3S3rs8E7pTHuWhWK5IdaFxCr2njKroKnYGmimwM4XWQAX0sK8GPBnsoKPHZzjnf/gDlEOI1M4xQCxniMEPn4qj6d7QEVWvzERq6Ia8+eqMR8fGgnCSxwjLznrSluLAIn1IAoySJptU1kFed4Dsp5lejU1n78r+OdZE02FOCRqSTM/XDk4zqrRGoCTyGEukrxvrpes4CwlANi4E9gj4NxZUQpnWFGUQxbYeZ+fD5JivLxv55ns8I5fFQMgmVNji5VM98XlVPDrWc7upP4Z/nyo2UpR19Tosgh2OU9oTKiDrOp7utu2dijjc+Y9WZdsBKp9VmL5OXFxyfjYWlxZ431JBqglq0tiUtWIz6W1KNU+kC9n7vgJ/Yt0nNsA3fFpOutpI/XJqxLRxn95yQJeU2vzkuMVGszubbKA18ykvGe+fy3cayoW1LkEsxEsZpDlLIgnO3JNKeSbXDMBPr5m1dlRIYz5vWaKVtFiPeXrNLXNClcXm2ZTaRptMWA31d3/EZ9jfJXXRZltEvYvicXR8PcODSvH0WWzfvYvSbNEVw6Oc7KIgdfi+IvgbldiN9qNdvbW8E7e8YeGH1MGZNe49mHvorh9ZDc9vJP9/ypsyw1+rgoDQAxqq6upv22uoeluJ6VWUnm1eryQhoZalQ2S5oWilMoNcTvtsUBXC6O3LRbKRYmznOXYhjY/DI1ZBc1Url8C+VOmWCY7fP7eltSQLO/vxpWD46wDt1NA+lbQTevVOojeFiuQckN21DUL6fFVq7wuN4GrgS2IpjKBu7khVoX0e1JBC/Bx2mRwssPn1n5OqlA06B5qiS9InYWerxFXFGVsgWiL9Grf0nPzktc6vsbKY7rP61NrZiJKohqLQhuy4hqJcgsS19i7aHM6loQrB8dZB1w5LIZaFv0zItjJ6h909kQ95lbiGjug3AR8PQaoZMHc27TW5qGRDrW1CPPCUmCbSuIFMjdjum81D1nO1wAkxTXwe/q5vM+KoLclrqwJH9tMLahdT6xiu5kCVV/qOyRwrcFqTceFKL5chzQtB1cOjrMOrElu+21D3k9an/dZ0OtsbtrmzKbxVRb0kx2JHUyBqrBsJARJI9Vmg9oyXPz70yEfowV39dRSYGOb8sZiG5XEI1Soh8CKYyoV5fVEYhI9E/bTfYA0PpHEK5ra3FqTHT5fM21nQ9W5fecl4MrBcdYBtxyuj7QWQIPW42ssuOux1FjIDrzcZCWhwVyNPWjlNWBCNy/5s+UG0J9adtDoMgv5NM6grqSsTOo9RFjXE16XxhyKASuCemzB83pq3WUn0kI9zr7oSxBdzgUC0DM3VFMBKJPCwCXc4qWd2XGcxXHlcOOooshLeRwkzjAGitrac0RXjIxUne5a7YKORC2GQC4B6aZii4Sk26xaC5RbTYW2EqnGFv/YvySpsElAOytMIehn1SLQGEaQ3k2THRvipNaCtv9QZaBV2ktMgXbl4DjrgGcr3TwqKHVAkA5Ryvt8f+uxpYUOz0lzPgkQD89J59akg6zGK4JaB+L2yRJlUW5Yiw6tbQg1C/Nyg60ZHaakweRYDT1h5RPjCLUpkfhdJD6isZRqLPGQwpTGknDl4DjrwGHzo53F0FoRFb5Zyf58IoB67LYp+kkWU2kzLii31NC8LwomRwz+ajVyLJILYlGohdI3gZ33rLZBq68Bs1JqsQY0VqGxiKYWZTNNOs7u2YhVtS60HQdlWGZA2m1Zx1kH1qnx3u1KN6ifSXFh3pNmfwNxG5UszPMexyMG58R9lEkzPZlAlzbR066x5QYL97R/FJHt6PlFAIHjHOoqAmz8qRb4qRWhQj7O1674fBt3s+IIEuPQCmnNhtLsqCXhysFx1gG3HJYDZYjtLfJSWoKLW6bc5PtebnBDvnJD6grOWL8mtSy00Z+2ySiGbWWk/v8QzOqoRqIM+ryGap/XoA3+1DWV98UqSGIPuj6EtossKyTYnVttxJJw5eA4zsklk6FFsTFgZv2OtJAuK8SSkPTY3qZ0UO2bRdHb5M+ostGeSuksihgnyM3q0F5Oqkg03VUb73WDyvXE6h50NKr2d4rHaqZUhWXiMQfHcU4u3Z11XlrX08FZAGQ1EsXAWm2XG5y+imA9ntTtowoBtQlwTTelzFw+GsvQymp1H1Hi7gqBvVBa0FeNrJ4iVSDRfSQupmi1LK/OwS0Hx3FOF2pFqMtIhW05NDdTVnDhWlby6/1tREuht5VMy0sUAMnEPH09Xq+0egtNSVXFodXVmiWlLb21JbcqHFUqmomVi6WzxBRotxwcxzmdZCVAkkYK4g6v2tm1lOZ6TQXUhbmcsoItjdg2W2MYedJaW11NoiiKoVRCk11L5zto5pQ2DlQl0CQtOYqhjzVr1AAADzxJREFU1FaUpojKoaTauuXgOI5zvGRSA6G7/ry0+EJWmn9/cM7cPtrorhha4FldV7EJHtmMDrUUtPhOrQbAUmQ12KyFel1XUTpVDkgynJaLKwfHcU4vhQjeNJ6g0+cyzW6SGETe4wC2tvhWi0GtBK2zUIEf53Uk1kUatA415sYMNHNNp7xpIZ9+Lu9ZiqsXwTmO49wsB7hgUmWgnV21+lmtiv62zVFQqyCtyC43bPcPWCBZ3UQxpTYJTms7DsAUSJDGfEEa/cXgttZC9G2uhVZeLwm3HBzHOR0c5J/XwK/u2DXoW24kikDaZhQDq10oN/h1zWbqbbYthGhJ5BbH0FGo+nqKdotVgR/nSKTZSSFRLGQtwJeAWw6O45wSDgrekimIrOBYRE18eG/TMofU95/l1i5D23enbqnUCummtOrQnxi0FosgWgcwpdFUdqy+TlJfoQVwqfVxzLjl4DjO6eBQy0EfJ7v5mHGUzI2Ir2Xm4skKtgiy0gLXmomU98X6EKsjdTPlZRK0zi2+of2fVGFo4Dumymrwujn4Ox0DK1UORPQDRBSI6G55TkT0j4noU0T0USL6ylWuz3GcE8ShGT4dIZvWKuguv+izC0kVQWzOB7MconVRWk+nrBT3U98Ee6y0Lkwp5D0+rn8GsaGeHhs7zeZtBdF1TR0jK1MORPQAgG8E8Nnk5W8C8JD8ex2An1jB0hzHOYlo9lCXNL00Rd05xQAxPbW3wYOFYiO/PiuLuLNPX98wpaJtOA6yBIqBKJBBErwmGz6kP9PzpAHwJbBKy+EfAvjv0O45+yoA/0dgfhfAHUR030pW5zjO6WCu0iCOPUQXUI+tBsCUiXZ21aK0YgBsPYPTXfO+WQ6UWBI6KEiD1VrgptPn1HrQGgsNlBdDsS76pjyAk5etRET/BYDPhxD+oPPWswB8Lnn+uLw27xyvI6JHiOiRCxcuLGmljuOcCrrumTQltbfFj2MhmhStDe6Qnb4EqzWzST8zPGdxhd4mH68B6N6mnDOplciTjKhcJtqpclFFpM3/1HV1O06CI6LfAPDMOW/9MIA3A3j5vI/NeW1ulUcI4e0A3g4ADz/88PIqQRzHOflknX1yXrQfp9PZogWAxD2U1EgUfVYOg7PA/tN2fKyRkLYdKuQ1XhH7NKlSSDrAak+nckPmRASAtP/ScliacgghfMO814noTwN4LoA/IP5izwbwYSL6KrCl8EBy+LMBfGFZa3Qcx2nT2WfG9FKZ6QAgtuSuQxIL2OJeTNoKoxxaNpHWP6gFkOU8lW7/ogwckgynNH6gLTxUKaVjQ3tbfK7R5aXGHG55nUMI4WMA7tXnRPRpAA+HEJ4iovcAeAMR/RyArwZwJYTwxK1eo+M4DoBOmmvi548jSQsLMmdJUBpkAWZNedUaBY1RjK+wm0gL2mLn1WQ6XBrvmOyw0qj25bxSM7Ek1q0I7lcB/EUAnwKwB+A7V7scx3FOF4cJ2049hLp9dMJcMeR22xqjoMyqp7X3UjFgxRAb/uUW6NaxoTonOi+l86sqCJkoV24CzRXrFLskVq4cQggPJo8DgNevbjWO4zgJ0W2TdGRVhVCPrfYAsJ5IeVLPkNYxFAP7p5Po1AVFGbf17m2xu6hlkZT2XJvuaWxDLZglsHLl4DiOs76kQ3u0jQUlSoHMMkiPT9tj9LasxXfsv6QB5qHNdOhJHcPkGkB9Gwsa4x6ZubQ0JfYUuZUcx3HWjyLZoasi0BYZ0UrIgSppa6FxiNjUj5KuqsEylQCgzsStpEVvPT6+GiWxjNLcSOWGWC/La7znvZUcx3EOYl4dQTq/WYvhAMskar03SFJgi6QoLk+qoodJ3UNux6RxBu36mvctA6oYWrxiCbjl4DiOcxAq+A8j73EAWWMLqRtIYwxpyqlaDuVG8nlpz11umELIcrEm0C7Kaz0+oY33HMdx1otuncM84Uudx+nUt7xtWfTP8kN1B1EnsN19Tyuq4+jRvgWi85LdWzGWsXmy6hwcx3FOBCrMm7ot4Ls/UwWjsQTAhH7WCWanHVdDLVZJogT0c93CuWPGLQfHcZzIAm6aKPiTwHRKHOgjwej0nGo1qGLpbbRf18/H/kqaDZUoAp1El6bRLgFXDo7jODdCtx+TooI8zmhIBwjlFnTOk3hGllngOrbTILMi0lhDGsMolxeQduXgOI5zXRxlXVA7y2nGstC5DN0BQ0kfJ41h5KW1yejWO2Slu5Ucx3HWhqMyhBZuadE9TxIM744rTc9LSWxCmwEuAQ9IO47jHCc6ue16KTc750ladwAWl1AXk7YIXxKuHBzHca6L6whaH6YkDnIrxfNrM796/jm7WUzHjLuVHMdxIsc8N+xQF9SCBWy9raUWux2EKwfHcZzIAkK4OKZOqN3YRFQACyqo41rHAbhycBzHUY5jh77oOWZqFDo9m1rKwy0Hx3Gc25vjigO0WnEcQFo8d8y4cnAcx4kcww590VTWgwT/vNcPOvagQrxjwJWD4zjOreJ6KprTlhkrwJWD4zjOreIwN1HazRWwVhvpa7cQVw6O4zjKClJG50Ntl9G8oUNLxpWD4zjOOkO01NjCQbhycBzHWQUHtdueqZxeXlvuw3Dl4DiOE7mFbqUDW353u7iuRky7cnAcx1kLtHfSerS8c+XgOI6jLLklxe2EKwfHcZx1Yw2yplw5OI7jrAMLDwm6NbhycBzHWQdS5XAjw4KOGVcOjuM4zgyuHBzHcZwZXDk4juM4M7hycBzHcWZw5eA4juPM4MrBcRzHmcGVg+M4jjODKwfHcRxnBlcOjuM4zgwUQlj1Gm4aIroA4DM3+PG7ATx1jMs5Cfg9mcXvySx+T2a53e7Jnwoh3DPvjROhHG4GInokhPDwqtexTvg9mcXvySx+T2Y5SffE3UqO4zjODK4cHMdxnBlcOQBvX/UC1hC/J7P4PZnF78ksJ+aenPqYg+M4jjOLWw6O4zjODK4cHMdxnBlOtXIgolcQ0R8S0aeI6E2rXs86QESfJqKPEdFHiOiRVa9nFRDRTxHReSL6ePLanUT0PiL6I/l5bpVrvNUccE/eQkSfl7+VjxDRX1zlGm81RPQAEf0bInqMiD5BRN8nr5+Iv5VTqxyIKAfwTwB8E4AXAvirRPTC1a5qbfj6EMKLT0q+9g3wMwBe0XntTQDeH0J4CMD75flp4mcwe08A4B/K38qLQwi/eovXtGoqAN8fQngBgK8B8HqRISfib+XUKgcAXwXgUyGEPw4hTAD8HIBXrXhNzhoQQvgtAJc6L78KwDvl8TsBvPqWLmrFHHBPTjUhhCdCCB+Wx9cAPAbgWTghfyunWTk8C8DnkuePy2unnQDgvUT0KBG9btWLWSOeEUJ4AmChAODeFa9nXXgDEX1U3E63pfvkOCCiBwG8BMDv4YT8rZxm5UBzXvO8XuBlIYSvBLvbXk9E/+mqF+SsLT8B4HkAXgzgCQD/y2qXsxqIaAvAzwN4Ywjh6qrXc1ycZuXwOIAHkufPBvCFFa1lbQghfEF+ngfwi2D3mwM8SUT3AYD8PL/i9aycEMKTIYQ6hNAA+N9xCv9WiKgEK4Z3hRB+QV4+EX8rp1k5fAjAQ0T0XCLqAfg2AO9Z8ZpWChFtEtG2PgbwcgAfP/xTp4b3AHiNPH4NgF9e4VrWAhWAwjfjlP2tEBEB+EkAj4UQ3pa8dSL+Vk51hbSk3v2vAHIAPxVC+JEVL2mlENGXgK0FACgA/OxpvCdE9M8BfB24/fKTAP4OgF8C8G4AzwHwWQB/OYRwagK0B9yTrwO7lAKATwP4bvW1nwaI6GsBfADAxwA08vKbwXGH2/5v5VQrB8dxHGc+p9mt5DiO4xyAKwfHcRxnBlcOjuM4zgyuHBzHcZwZXDk4juM4M7hycG57iKhOOoN+RFoZnBiI6CVE9A55/BYi+oE5x/wMEX1L57WdQ87ZI6LfIqLi+FfsnAT8D8M5CeyHEF580JtEVIQQqlu5oGPmzQD+3nGeMIQwIaL3A/hWAO86znM7JwO3HJwTCRF9BxH9SyL6vwC8V177QSL6kDSK+x+TY39Y5nr8BhH9c92ZE9FvEtHD8vhuIvq0PM6J6K3Jub5bXv86+cy/IqJPEtG7pIoWRPRSIvp/iegPiOiDRLRNRB8gohcn6/gdInpR53tsA3hRCOEP5nzH/4aIfo2Ihkfci7+bWFWfJ6Kflrd+CcBfu85b65wS3HJwTgJDIvqIPP6TEMI3y+P/BCxYLxHRywE8BO7/QwDeI00Fd8GtU14C/v/wYQCPHnG97wJwJYTwUiLqA/gdInqvvPcSAF8G7tP1OwBeRkQfBPAvAHxrCOFDRHQGwD6AdwD4DgBvJKIvBdAPIXy0c62HMactBRG9Adze5NUhhLHooLcS0d/qHhtC+NsA/jYRnQVX9P64vPVxAC894rs6pxRXDs5J4CC30vuStgUvl3+/L8+3wMpiG8AvhhD2AICIFumv9XIAL0p8/GflXBMAHwwhPC7n+giABwFcAfBECOFDAKCdO4noXwL4H4joBwG8FjxQp8t9AC50Xvt2cOPIV4cQpsnrPxhC+Ff6JI05iAXzLvBwnkdlHTURTYhoW+YROE7ElYNzktlNHhOAvx9C+N/SA4jojTi4VXsFc70OOuf6GyGEX++c6+sAjJOXavD/MZp3jRDCHhG9Dzwc5q+ArYQu+51rA7zjfzG4k/CfHLD2Lm8B8HgI4ac7r/cBjBY8h3OK8JiDc1r4dQCvld77IKJnEdG9AH4LwDcT0VD8+38p+cynAfwZefwtnXP9t9KuGUT0pdLF9iA+CeB+InqpHL+dZAm9A8A/BvChA5qzPQbg+Z3Xfh/Ad4NdY/cf9qXleq8E8I0Avrfz+l0ALnSsD8cB4JaDc0oIIbyXiF4A4N+Jf34HwF8PIXyYiP4FgI8A+AzYJ6/8KIB3E9G3A/jXyevvALuLPizumgs4ZBSkZAZ9K4Afk+DxPoBvALATQniUiK4C6O7o9bOfJKKzXddPCOG3JXD+K0T0jUd8/e8HcD+AD8p3f4/EIb4ewGmb++wsiHdldZwEInoLWGj/6C263v0AfhPAfyxDc+Yd8zcBXAshvOOYr/0LAH4ohPCHx3le52TgbiXHWRFE9F+Be///8EGKQfgJtGMZx3HtHoBfcsXgHIRbDo7jOM4Mbjk4juM4M7hycBzHcWZw5eA4juPM4MrBcRzHmcGVg+M4jjPD/w9qMeA/w39DKgAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from numpy import fft as fft\n", "\n", "fourier=fft.fft(samples)\n", "\n", "n = len(samples)\n", "fourier = fourier[0:(int(n/2))]\n", "fourier = fourier / float(n)\n", "freqArray = np.arange(0, (int(n/2)), 1.0) * (sample_rate*1.0/n);\n", "\n", "plt.plot(freqArray/1000, 10*np.log10(fourier), color='#ff7f00', linewidth=0.02)\n", "plt.xlabel('Frequency (kHz)')\n", "plt.ylabel('Power (dB)')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "Pxx, freqs, bins, im = plt.specgram(samples, Fs=sample_rate, NFFT=1024, cmap=plt.get_cmap('autumn_r'))\n", "cbar=plt.colorbar(im)\n", "plt.xlabel('Time (s)')\n", "plt.ylabel('Frequency (Hz)')\n", "cbar.set_label('Intensity dB')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Say, you want to pick a frequency and visualize its amplitude" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#pick a frequency\n", "i = 250\n", "singlefqcy=Pxx[i,:]\n", "plt.xlabel('Time (s)')\n", "plt.ylabel('Amplitude')\n", "plt.title('Amplitude for freq {:.2f}kHZ'.format(freqs[i]/1000))\n", "plt.plot(bins, singlefqcy, color='#ff7f00')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, let us reduce noise using noisereduce library" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "C:\\ProgramData\\Anaconda3\\lib\\site-packages\\noisereduce\\noisereduce.py:5: TqdmExperimentalWarning: Using `tqdm.autonotebook.tqdm` in notebook mode. Use `tqdm.tqdm` instead to force console mode (e.g. in jupyter console)\n", " from tqdm.autonotebook import tqdm\n" ] } ], "source": [ "import noisereduce as nr\n", "\n", "fconverter = lambda a : a / 32767.0\n", "converted = fconverter(np.asarray(samples, dtype = np.float64))\n", "\n", "reduced_noise = nr.reduce_noise(audio_clip=converted, noise_clip=converted, verbose=False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And check that noise is reduced on Fourier Transform results" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "C:\\ProgramData\\Anaconda3\\lib\\site-packages\\numpy\\core\\_asarray.py:83: 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fourier=fft.fft(reduced_noise)\n", "\n", "n = len(reduced_noise)\n", "\n", "fourier = fourier[0:(int(n/2))]\n", "fourier = fourier / float(n)\n", "freqArray = np.arange(0, (int(n/2)), 1.0) * (sample_rate*1.0/n);\n", "\n", "plt.plot(freqArray/1000, 10*np.log10(fourier), color='#ff7f00', linewidth=0.02)\n", "plt.xlabel('Frequency (kHz)')\n", "plt.ylabel('Power (dB)')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And now you can write the noise reduced file to output." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "import scipy.io.wavfile\n", "scipy.io.wavfile.write('../output/test-out2.wav',sample_rate,reduced_noise)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "Copyright © Dmytro Karabash, Maxim Korotkov; 2020.
This notebook is licensed under a Creative\n", "Commons Attribution 4.0 International License.\n", "
" ] } ], "metadata": { "colab": { "name": "2020-05-19_Simple_Intro.ipynb", "provenance": [] }, "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" }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": true, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": { "height": "calc(100% - 180px)", "left": "10px", "top": "150px", "width": "175px" }, "toc_section_display": true, "toc_window_display": false } }, "nbformat": 4, "nbformat_minor": 1 }