{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "%matplotlib inline\n", "import math\n", "import random\n", "random.seed(0)\n", "\n", "import matplotlib.pyplot as plt\n", "from IPython.display import Audio\n", "import requests\n", "\n", "API_URL = 'http://simphone.herokuapp.com/json'" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# On-Off Keying (OOK) Modulation/Demodulation Demo\n", "\n", "To pass a digital signal over a fake phone line, we need to modulate it. Phone lines are designed to just-barely carry speech by transmitting 300 to 3400 Hz signals. By reducing the bandwidth (frequency, not data) to where speech is just barely intelligible, phone companies can save ~~you~~ money!\n", "\n", "Anyways, because the phone line doesn't pass baseband (DC) signals, we need to modulate the signal, i.e. turn it into sound. The laziest way to do so is to play a tone (be on) when there's a 1, and nothing (be off) when there's 0. This is on-off keying." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Protocol Definition\n", "\n", "Things that are known to both the modulator and demodulator so they can talk." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "FS = 44100 # Hz, sample rate\n", "\n", "BAUD = 100 # symbol rate\n", "SYMBOLS = 2 # binary\n", "FCARRIER = 800 # Hz\n", "\n", "APPROX_TX_TIME = 3.9 # seconds\n", "SYMBOLS_TO_TX = int(BAUD * APPROX_TX_TIME)\n", "TX_TIME = SYMBOLS_TO_TX / BAUD # after rounding" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Some Data to Transmit" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "110111111001001010011011101110001011010000010011011010110110100001100000011001111101011000100101100000000001010000001000101000111001001011100000110100111111001010100111101110001000111011001010110011110100001110000000011001100110101001000011101111001100011110100100111010100100111110011110101101100100000010011110101010101000100111000000111001011111100011100101110000000101100111000101111000\n" ] } ], "source": [ "data = [random.randrange(SYMBOLS) for n in range(SYMBOLS_TO_TX)]\n", "print(''.join(str(x) for x in data))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Modulating" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "t = list(n/FS for n in range(int(FS * TX_TIME)))\n", "modulator = [data[int(tp * BAUD)] for tp in t]\n", "\n", "carrier = [math.sin(2 * math.pi * FCARRIER * tp) for tp in t]\n", "\n", "signal = [m * c for m, c in zip(modulator, carrier)]" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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fIKK3ppTesCzLw8Wub16W5eXW8bwdY29nIR8D/SCTx5zNiF5FwtER0fHx5WN4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\n6KTKi4uxta+VvDyJHDGDnkS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rnVe/EbzwhWd/W8lLIhgXI9RknJ5iX89pmXbk8YHWbgHa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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def pltsetup(bounds):\n", " f, ax = plt.subplots()\n", " f.set_size_inches((12, 4))\n", " ax.set_xlim(bounds)\n", " return f, ax\n", "\n", "f, ax = pltsetup((0.2, 0.35))\n", "ax.plot(t, signal)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Transmit file is 3.900 seconds in length.\n" ] }, { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "print('Transmit file is {:.3f} seconds in length.'.format(len(signal) / FS))\n", "Audio(signal, rate=FS)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Processing\n", "\n", "To filter and add noise to the audio, we'll pass it to the web API. We simply `POST` an object with a `data` key (and optional `seed` and `snr` attributes)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [], "source": [ "request = {\n", " 'data': signal,\n", " 'seed': 24601,\n", " 'snr': 5, # default 30\n", "}\n", "reply = requests.post(API_URL, json=request).json()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [], "source": [ "received = reply['data']" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Audio(received, rate=FS)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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dQq3mbcOu63VLamn7ek5PtwDwlF7BCmLVX76QkxTrbGHtJW0HFOt2Eq10rSZW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uEQrMdaK85Use78gBYHiGq3/kMfwoaPfSzbTu/bLBRrAL7IZGyR5LqoFWTT9u1i+cBC6EWxTpIO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\n8yZRPZZ3C/5WwXsv5RFYdYcr1j1MosSkK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GCjUuq5evtVAHbr7X8B4D36WEsBvAPAk/V/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\nO3AlnsjWWgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f, ax = pltsetup((0.2, 0.35))\n", "ax.plot(t, received, color='#cc0000')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Demodulating\n", "\n", "There are myriad ways to demodulate signals, especially when using multiple frequencies. Here we take the lazy approach (circa 1900) and simply mix (multiply) the received signal with a similarly tuned carrier wave to recover something like the original signal." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Mix carrier with signal\n", "phase_offset = 2 * math.pi * random.random() # because an exact phase lock is kinda cheating\n", "carrier = [math.sin(2 * math.pi * FCARRIER * tp + phase_offset) for tp in t]\n", "\n", "demod = [r * c for r, c in zip(received, carrier)]\n", "\n", "# Rectify\n", "demod = [abs(d) for d in demod]" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "4.654240640208287\n" ] } ], "source": [ "print(phase_offset)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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nAXiWc24lgE8D+GxRnihoR/d3l/4d/vjMP57Id0nFmXZKVYfA+x1VFOcqaHdY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\nkzokORKUOFODR4+Pv+F4Nc/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8+C3ZtbS8ozhxoezVkQOFkEgepvc+WvuWfgtOjCgJlzp3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MYZalKqAzXRdlnNMjkHUuPa3pJqqDp4cSJDrfyL9anzE53R/tH2gXcT+yaq3EwaZ+q4SeNM9fu/\nKMOZMixcpBpRlxttvZdFUAHZV21bhQ07N0jX6owxGyMbIMLRiRpnzXIGT5vdHQzR5KeRB0PWJVQg\nZZAanQOjSjVcGDKLzpbDRpfvxFQ6zMbJqAM6xpkoC1vjZXPxZqvrRIjfykVbr06IbKJqRNU450M6\nEVUSFhU6RplkdR0cWk0TCjKqiINzZNQ+2SWqhuk8NyxFvDT3Jf8318eq6fD61++Ffv4xqizLUmWB\nvkon1SCXpQUjQSVR3l38Lp775rngPdxwzhiw4tK6aAiL36NqQdVAOmJUBf5/m/YVpiMGZDlMaXkp\nduzZASBaHGcRPG9iPGFV5kXdAxDEBuF05rKaY2yHFnKQomRRblINIhKGqoMvS5UF7lHv40a253ko\nKpDD5Pp5TyT9/OfDqdIlHJ2LHvpn5Rxog3x6tYpw0gIKjaB57eYA9NIJxhhaPNgCJ449Ubqfii2r\nWz7iTJ2/jBLGOEPPOIvlYFoidIVYbibnQOm+iAYLpak2McMiom7NaZRq5GG1I2q5mTrpXNl39X32\nlO/xN9YJrIpolnddtIHqteoS+dc/fI1yrzwvUTX2lsabmiTmYzKvq79Rn0HVb5eoGlGf4STViLhL\nqA62DCfFOG8p2WJ0uiotLw2Upxjlg/fDLn4fOr2pCN5O+MSAGzrD3h1Gapyp/Lv0pxwmw1mcsExb\nNQ1nvHwGAGD4e0H23AZqlBMRPuNMyZIMjDPVnvK18qE+l2KcC5OFsuGcqVMFiYLQyCwmxpn/zevR\n+0vet5ZqqP4laj/P8+8S3tJmUm6KRCNeK5KVUfr4/dZwdmH9pPsiMkFRDbnRfUdjcIfBoVuAfr/j\ne/K5vpGtvBev0Dzmp6o5K0uVYWvJVokJ9DxPOysTKy2f5ecLUXVMFFy0zy6De2RdqyE/UaUaIqLK\nSKg08mn0cKiD4oOfP4jDHzscu8t2S1IgIFt3X5v/Gu6deq8xT2pbT7CElmngbeCop47CjDUzrLZY\nNcVxdoHNIKw7FsUICYOWcSYG4ah+Hnst7BaRH+1kD/KAHOV5OoQZzg/NeIj0URH7Vp2vifoMMZ/v\nLH4H3f/Z3f9bdUZcunkpGa1A7fspUIzzZ2s+k4gXSqPNMXv9bExcNjH0WR8t/yhwTMfkS+cJB2E1\nig6gN8IXbVqkzbsvJ9H09zaMs0v7zCcZZ2OcFyYKtYxzQaLALo6zJtyc+Dcv57s+vku7YY5Y5/eU\n70FBogAePLK/TSaS2vYTmUgyMM5U37Jm+5rQdH9WUTUoRF1ajdrBmlgAdRmHWjbhH5LP/HeV7vKf\n+/maz32PayD4Xmono2rONu7aiHpj6uGA/zsAxaXFfrq6zlUcdHTe47mA0jjvC0QNmRWZkTNINaLq\nN6n6bTS4LfTOYcds8rlk8xJc/NbF0kA2deVUPDvrWQD6gVd0ZuFOgXzyxstr486N+M2bvwEQ7BAZ\nY1qmQWU/KKmOyWM+6iTZBS5aSBE2RuZ/F/7X+j7TEjGlv85rOLqoG6BYSDV0ZWsyhMJkQ9e8f42f\nPsU4A+HRjfhxMc9qVAreD/NntX24Lf4999/atKjICNR1qsZZzLuqcdaVhY4BVsvipH+dBEAufxep\nhg5ivoruLcLcDXOl8+0eaYeX577s5ycs9KqLxlmbF6LNurRr0+qKjeFMGcgmw1nnHDhjzQzs3COH\nmRP76psm3gSAlmpwh9eUl92heMaaGQEnR25vRJ3MU23d1K7F+8ToHlGw3xrOLuyOdF/EyAa5RDNI\nsIRWk8Y/OjcanvrqKf/8Mc8cg2vev4ZMVwwgDwTDx8zbMC9wLaVxFhlnqvOKHI5OKDdTVI18MKuU\n9swEahA2Oe5RaRifZ1gKtLnP5byJUadiaJue9+HSDzF29lhpUBzy1hB8t+k7AHrDQbyW103emSbv\nSeKdRe9g7oa5vqGgTvYYmJRHK40zYSyatO97C5STZz6e3aVxl8AxF8ZdBDXxy2s4Osqod+mfHSQe\n1ADL9bwmqYbvE6K812vzX/N/h0nm+HFp91ulr9L1w+LKzUVvXeT/5o6yU1ZMwVfffwUgXF7A259u\nu+/yVHmARbSByWnZJq18kDbrflrn50fdFU+tF28vfNuqL3eZfLnIL0wTeBuNc5VkFYnJ5/lSmWgq\nbbHvPPqZo/H3z9Kb3/Cy++GnH/x7uJRI2iBI+F2aKkVhshATl030ib3L/3c5Fm9enM17IivVcIn0\nYzOhNjkH2hy3xf5rOFMzxX3giOKyPM8NZ51UY8XWFf417yx6B9d9cB2AbGUWY3mqjZ6zyBzq0ovE\nGgiifbFy8eD+Ytr5ZpyjhgqMaqhTz9aBGmxNjntUh+cy0BuN86ixbSmNs0MaLmVfvbA6AHlQFB2K\ndJ23bgMhsTzmbZgXmgYVSWb0tNFZzT88sjM2TVoiOwRGnAC5bHBjIx+7sOOFwfsiticXxpka3KIy\nztQ1OrjUb8roKUqmHZpMMcV5WTIwbC7e7MfaFzf1cJVqqND1w1QZ3D75dv/3wFcGkmmqUTVENlE0\noKjY07agmO9cDWceezkMYpmKeyeoWLltJc589UxaquEgpXJhTl3sD5uoGlULquKbdd/4f/OyP7D6\ngU5bbqsMM/979LTR2bwrflTqbyAbbo5PyspSZbjynSul80bGOWLUJ9N3cmGnf3HOgVGNl3ymq7I0\nCZaQZvfqR9lashVvLczuKqXuDggEKxOXdajP5BVZ7ITE+IpiRe/xdA8AMvNAMs45ejQD5q2AReRD\n9xk1GP3eit2b7+gBLogaNcR28iEOimK5i/Xt2vevxfRV07WbJYjPKSkrCdWuUZv+vLv4Xb8dhTmo\nSGntJcbZxT8iajg6Kp+6lZao7deFWYsqfYq6ekhGgnEw1EXwcjMZcL7TGTx0eaILuv2zW+AaUaoh\nSu44SlOl0ndS2TLthitE3ZDiI++hd7X1pRpltFTjjQVvSD43tobzi3NexMadGwHQewGYJiQvzHnB\n6lkDX6YnB6IEQ5VqiOX3xdov/Ot0ME2uozrNUnBxQBT716oFVTFp+aTAvclE0kmqocYm13133URE\n/dbqGK/moTBZqHXMjColFO8zSZXyGVp0vzWcoy6X5zueqQmMMSRZUss4iygpz3aUaqUGghWHNJwz\nnYUo5eAMQ8pLSR20qrEGojEMYXAJiZZvuOgwXe4j03MI7eV6jf+MPMiLtEwIEf3DdvYvGc6CQSDW\n+3/M+AcenPGg1ihQN67hz/U8T8s4i6y1LgpAyktZLR/nlXF2YHWjOh+Jz6B2l9NNGMnwjobVjn0i\n1YjIPEV9nmkyYHJiEw2I1dtXY9W2VYFrNhVv8q898G8HatMIG/TVFUUguJW6GjIMyNYJ/l2nrZzm\n7xIbYJw1Ug31t8uGWDyKjpgf8duq8kIVfgg+Qx83ftF46W9xLPT156JUI8Sgsml7JqlGVN8V04Zf\nVLsQf+vCBfL82bw3//+I90dI53V9tLgdOodqL6irymr5FiQKtBN7F82xi8bZxbeFuk+bB2MuKynE\nQtpbumUyeLaDcyAAUuMsQqxwov7IXxZksq5Trdgq4yx2UvxaNaqGv4OURQzdqEu9LtEqbFgjFyMz\n6gYoUaNq7IvVDpdlrKhp2KSnpsV3/wJkw03HemgNZ2X3LbE+m9LQelN7tGd3pdA4E4yWy2oAxYya\nwtFR6ekQ1TnQBVHbkAiX/FBlweugiRkNMJmaPPMtpW2lGup13BgU86oaJXzlJoxZHDt7LJ746gkp\n335UDY1UQ4UNkcLzxesjNZ7oJgM6uPimAMApL5yCP074I4BwqYbuO1F5dRnvo4bVNMFWqqGDjnDg\nWLJ5ie+DovMfAdLfcmjXoahRWMM/52+GIvS3avmpkzt1rBGlGtJxw2q0jQzMJRydqw2nYr81nClW\nxHifA5uWj7i7QNpp5Kmvn9Km6+dFo9URK2hA40w4B/qMs9BJSVINUdjPI3Bkltj2Blyc7vINo8NB\nxKVlEcYGaPGeTkylYQnRNQ1dHqIw4GNnj/WPiQO82nknWEJrmKiOfOK2wGqHqK62iOd5XR47e6xd\n2eeRcZbSFZ59cJ2DQ5/hEmPZJm6pywYoRuaFqAtOoR4Nw0zUOM4211YrqBY4RhrOmTpoYpxFTT2g\nLwtx4wgdVmxdIW8ApDC7vI6L31g1nH1CxLL/sGWcRdgYzp0adgIQ3MpbhdpuKYT5wujq47wN83yn\nNj/UGZivPQ8zqKhJkkk7GzVMo8vKl01UjTDGmap7Z75ypvYZQLZNFZcWo2mtpvKmNKnSwD0mxlkt\nD0mqIbyzanDbImpUDSpykC32W8NZYpxdjOGIUg0XJkTtyFRnKFMj0UUJUN9Lxzi/v+R99H6+NwBF\nqpHpHKg4zuJ2shTyYaTlw+hzdcwMzRtRV1wMfNNym82zXRiNqCG6qGt0ebDR3LK7GUZPHY0HZzwY\nOBdmOCdZkjRMeJ0eNXmUtBpiinIg5nfU5FEA0sZB3ap10bRW09B7TaC+6UG1DwpeS6x8/e6I3+Hk\n1idL11IDs0ufRJWLNmqKJja8+ts/RgwqUSeXFJ48/cnA8/KtL3918KvB88Q39aUaBsaZb06y8MeF\nAPQMqegcRUEsQ1WnyscMUV53++TbpbxzciQsmgB/fut/tPav4+1Mp3Gm3iMM3EGYP0tM9+t1X/u/\nbQ3nMMJDlx9dVAnGGDo+3lE6pns+1Re5RNXIi8bZ8AxK5kgZzpNXTPZDAoaBknOUlJWgTtU60nne\nLlSphtjfq5ILtT0XJgq1UTWiRtwyRiaxUCNEIfF+FoZzmBY4DPms5NL5CNIRnfQkbCakY5znrJ+T\nPV9q1ji7wKasvhr6ld+JmtJwqawntToJdYrqWF/P4bLkF1V/HXUCEHVTCJe82Ww5bXq29nzmnUdN\nHoUvv/8ycF4cjNT6VrdqXa3EoDxVjnpj6gXuK0uVmePTEuerF1TH2uvXkvkH3DS+IpZfk16Kt/ke\njDHULqodOKbLA1UvhnQe4v++pMslAOx3uFOfIdYL07eOHFXDQho09Kih6Tx4ns/KUyRI1EgwjWo2\n8qNlcNhonK/peQ3JfKr1V1cHTFE1gPD+iRvO5V65355Wb18t1U1dyDDx3GMzH/OvWb51uT9mcANI\nzBvXZKuwYZyrFaZZfW7UisatGPHBpHHmCCsXndzD5KNT7pXj/s/ux32f3Rc4RxnzLs6BYlu4otsV\nRM4z9xH11DSBpdqTTuLgEq0jwDgjLQktLisO9Fm83ktSjfJSiS1W86O224JEgTaqhtPOnxHHMuq+\nXxTjTMad3Uvyi3yGUjPFbOS/F2xc4B9jkLfcnrx8snR/ypO3StVqnKFnnMOwZ1S6I7J5/65NuqJR\njUZW6brs2Da672g8O+hZq3RF2DgHHtv82OBxh4ZZVJAdlF10Uy6OCi55E9OldmrcsTu4OyTVnnTv\nZFrKFj37VcOhPFWuZfTKvXLJIBGXfctSZaHOI9Rk0GaiZlr9ocDbg+23CxsMxOdRbNvzZz7v/+Zt\nwaUtq5sQ2MKF1RbhGld55bUr/d+290WFjcY5akQeDpNUAwgvw6Wbl/p5FduLyyA/cdlEyajkmmhd\nODq+2ZAKG+dA3jaLS4uxatuqvSrV0BnfqiGnIuWlpFCBIqgoJCbGmWr3w3oMw5Xdrgyk4afrsOpq\nE+ZOJ3EwyR4WbVrk/9bVp7JUGRhYgAQTCTgOlXFW2436joXJwsBmVzZ5dp2Uu8A0adFhvzWcpcHG\nYbYiwkWPpM6+bO+zPa9zHly/c71/THUOVDuQ0dNGy+eFmTn/vWP3Du1WqGHgM0hdZza67+jAMbUi\nk/GRHYzFqPpblWnSYfql6e1co4a/a1Ovjf/bxF6KMMWKFtG+QXv/N2Vwf3rpp+nzoqMKwTj/9zzN\nznIGFlaEaQAUpUmqcbe5ZDMuefuSwD1jpo+R/uYGxyerPkFZqoxckgTsQqZR5WZaInWJHywdN3To\n1PfPh1RDB6q/NL1f/Wr1tcddIta4rOa4kCBR+xZTfSkpK3FardIN+jpWl3qeDpzmxuoAAB+WSURB\nVAt+TJMm5alyeQXHYbJ0SP1DpMgrP+35SfIxENlZcXMVEWGM8ytnvwIgOzbM2zAPLR5sQd6TD6mG\nycFQJ+UIW2W1YZy1GmeCBEmwhH9O17aob24yzqn6qBuXTW1TisOsKZuSshJUK6wWICu0Uo3UHoll\nVp+tvldhojBwTdnt4cSIinwYyyJM31eHn4fhzOyXpMUC+eOxf8R1R19nfFbnRp0xuMPgCLkk9KSa\nRiKybTpDUXSY0uHhLx6WOlhdOLrlW5dj9fbVDrnPQrck1KB6g8CxsIHRxVjMB0Q2mOPjiz/O5oEw\noGwnX6+c/YpUBvnUKnPMv2o+hvUYZrzvmObHBPJADUBHNT0KzWs3J59peg9dHGYRO/fsxAO/egAA\n8MJsOTbrgo0LApO+Qe0GBdLgnfvg/wxGr2d7+bpSHShjghykDIy6mJ7JCNNFw9GlGzahjKJxHnPy\nGPz6sF9bXQsAreu19n+L9YIaNFJ3pI93atgJ3p1BQ8CUT3EgdGHvXCbU1ICdq3xqd3macbZNpyBR\ngMvHXy4d4xKmUKmGBau9YusKzFgzw//bZYKf8lLYXLzZ/3tX6S4UJYtQUlaCwkShZGSKsZtFhBnO\nvO7ziQN/FqWLDjOcw3ZRtE0DyOZXXFUL2zjFSuNsklE4rK4UJApwaZdLg+mZDDWivenGZRfDUucc\nWFxWjKoFVQPGrE6qwbfZpvKppr9t97asVCNThq5RVKKy9qRj5i9V4ywOXuIAoYNYSHWK6qBf637G\nawe1G+TruMKw4Y8bAs/QfSzdctJ/F2ZZQJ3jI2PhhjMA3P3x3f5v29A/Nmhbvy1OaX1KzumYGrTY\nUEnpgEMlVxnn6oXV0btFb+21Lg6m1H0u2ndbhkydoRsZO0KK5HKf6T2WbVkWen5n6U5fAnP/5/cH\nzgHpOsWha1tiXRcHfx0otkzrJHenl1fGmWJva1WpJV2nlj/lDW47abux140SG9ynRZ/Q6w894FDf\nAKbamXjMj6NNlJVpA5QqySp48dcvBo7rEDVCUs3Cmvj7KXI0hVzAv+We8j1O6W0u3ixFTQLgh4AL\nMzxtnrF+53qc+Wo2CoKLj8ru8t1YsnmJ/3dxaTGKCoqwu3w3qiSrWMkwwpwD1dVIVUOtYseeoETs\nkQGPSGmov1XcM/We0Pzy8n5vyXuh15kQJqXr17ofnhn4jPZaEzmSYAk8M+gZbbphEOuKi8TBBJV0\nYGAoKSvRGs68bKVttstLQxlntT1PWTFFv0GTZvzlMlEVpon4tT2vDT2vwhQ1RYf91nAWO1uxoVUv\nrI6tN23F1IunGtNw1TjvvDU96Les2xJNajbxByKOBjWCDKx28DZ8FK4bqlZQzTeAx303Dp+u+dQ6\nv7bLYjZYPHwxru5xdeB4gxoNULuotlHGwtkrk7GokxDUKapjnAyJ8DzPD4+kNtAw6UY+4kZTWHPd\nGuvnqahTNe0UWXp7egAb0XMEWtRpAQA45qBjQu91mQBc3Pli62v/M/8/oef3lO8hnUS5pvCMQ8/w\nj+lkGA9+HozWQUGcMIqwad/8+z566qP+MYpF1kHHGt574r2oWaVm6H3i9z/kgEPI51VJVvEdEVWI\nA9iUi6fgb/3+FvpMjm5Nu/kGS1j9PrD6gejVvJf2nKlfK0gU4Nft04x4WD3s1LAT+rbqm01DswTe\npXEX7b23Hn8rrj/megDZ79ChQQfyWWq6Kvg7pbwUkomktWETJp/QbS+vPs8Fpl0NRWwq3iQZ7sVl\nxShKFvljA4/lG4Yww58bbdxw4rIQnYEMAM9/83zgGO8nwnSyIl6b/xqA9Bisg0v5hIHX2bLbywJt\nZHCHwejapGukdF3IjAOrZzfOoTbLcfG90kE3eSopK0G1gqBUgwpH58I4i9eY2GDRILeNzlWnqA4e\n6P9AIC0AZISlKGP8fmU4S8ubSGHmZTPx5OlPBkJD1alaB8e3OF6bxuENDs+m56iV4c+f8YcZmH/V\nfPI6ylvUFsWl6Q6uZpWaUickRs0wpmHpweyC/13wP//3jzf8iEHtBmHbzdswvMdw/zgvU7Fj0ZWz\n2qBa1GmBfm2y7D8v6603b0Wjmo2ctOtzrpyDTTduCtxTo0oN4g555i7eN6r3KIw8ZqQ0EaOW8fjv\nW467RWIAm9VuBoDe8Yjy2vbu9NCwRkMpTwPbDfTZjhE9R/iTBF1aYXIMEdcffT0u75ZdaqZCPfJ3\nSLCE8XuIgfPFe7eUbPF/c+gmNNNXT7fKexjIbbY1KxhiObap1wZzrki3NV0cYBHJRDLALp96yKmB\ncrv7hLsllkrEiB4jsOWmLYG8AUCzWs1IIyGKLv/Y5sfioNoHodfBskHMtf4iNt6wEb/v+nttOgmW\nQK/mvfxVNiCb9zMOPQMntjrRryPit+7cqLOUzpwr5+DB/tlJko55mnX5rEC5nNjyRL9didfOv2p+\noOz5uWmXTAs8Q30nDp3x1v7A9oFjJoRtgR1lbODtx+ra4i2oVlANA9ult6gWHbnCDHoRNlIN/n++\nMjTgpQHWeeTGkWgkmcrl5NYn46puV2nP5WI4n3bIaRjaNR3phddddQI1sN3AwCq104ZSBFuq1snG\nNRtLNoaLtMtltVldUZi2ahqKS9NSDT4mXtDxAum54j1zN8yVjHc1P7rVSVWqocI0toi2hTpppSaj\n1/a8lrQJRcdrjsY1G4fmYb8ynNXlim5Nu2HoUUOtZ+7X9rwWV3XPNjgG5lTp+XPqVq2LetXSobMW\nXr0wMOsT2aYkS2L2FeY4ySLKvXJUSVZBjSo1sK1Ev62uCWoHEiWcm4rTDj3N/31A9QOkbZE5/n7K\n3/GP/v/AV0O/Ctwf9p34OUpzzhuZ7eywfrX60rf93wX/w3/OkZlSnla1gmo4+qCjtek0q90M951y\nH9nodJ3fn0/6M6ZcPCVwrfj+olSB3/fYqY+R7+NvJQuGvq36+nXq+IOPlxwUOb6//ntf9yzev2jY\nIum6J09/EiN6ytuthhlk1QqqYUvJFr/+U9BNUqoXVtfKjVwcQ1zgwjirxzo16oTFwxdro65wFCYK\n0bJuS2y/RdZfizsfcrRv0B6XHnmpdE2CJfDjDT/i4i4Xo27VupjxhxlQEdY/qYNGnxZ9cEj9Q7TX\n8jo2/dLp0rfhx8Pe079WkRrVrFJTWmXjaY27YBwOrnOwtBkFx8zLZmrrK8feCC3ar3U/9G7RG8cd\nfJx/7OuhXweuU3dn020X7ArVH8BlJ1UdXCZLm4s3o1phNWkS4GpY/vPrfxqvKWDpcuEbjriAG2e2\nUg0g7YRIXZMLYTT0qKF45NT0SgxFbLx9/ttoVa+VdB9VT3mcchE6QkHnP9WgegOfNFEhrjTp6pBp\nFz4Rz86So1V9uOxDFJcVS86BL897WbpGlOKs2rZKXi2wmAy67OirHvtbv7/hzMPODJyn0ubfTv1m\nHPeccA8u7HShtELarWm30LEY2M8M5/d+k9UtRdHFJVjCaCiL4dQoBx+xsrY7sJ3E7C0ZvkQy0JKJ\npJG10mFLyRbUrFKTjK/pimuPvtZ8UR4wsN1AyRATl+GLkkVof2B7bLlpC1m29/9K1sTaoEODDvj2\nqm+1554b9ByAtNFPGce7btuFU9pkNdy2kylxKQ0wG/W8I5x35TwcfdDRPgPGcWX3K8l7eefMWHqy\nd0SjIwAAj572KJaMyOoYRU18lWQVFN8mDySiLABIDxYt6rYgn6u+087SnXhp7kuoVzXccNZJNXSD\nBpDbNrU9m/Ukz9kEvA9bjhcnNzp8P/J7vHvhu1JaZ7U/C23rt7WKxlGQKJAmoD2a9bB+ByDoeNa9\nWXcsGr4ocF3vFr1JR0IXj3J/8nqn5688hN3nG858gn2nh8JkIWn03H/K/ZIPQti3UduoWB/v6nOX\ndG7cBeMkp2AGpt3ARlz50NXJKAyxyuyKqxP53LZch83Fm1GtoJpU3qqEr3/b/tp7Z10+CwBCnXKb\n1GoCIMg4u4AbeeLkWczvC79+IXDPup/Wkd8iCuPMWeYkS2oneyb7gtfFCb+dIB1vW78tDj3gUP/v\nUcePwm29b/P/5s/6zzn/IduOirtPuFvqr3XXUfIqHT5b81ng2O2Tb0ftotr+N1H7IHUVQvwWuvy0\nqNPCLxuxjMV31slcRfA8iHKLE1qegLtOuAuXdb0s9Pm6d2hQvQE6NOiA2/vcHri2cc3GRp+2SmM4\nM8b6M8YWMsYWM8Zu0l0jLuWHLSdT4NfxTkFF1YKqWHN9UI/q5xFM+j9H58adfWq/Tf02OKD6Af65\nJEtaM2r3nyIbjfM3zJecO1zx2yN+6/920fH8dMtPkTVcImZfMRt/Pfmv/t/JRBLfXv0t6latK32z\njg074oQWJ0j3UlEI+H3DewzH0hFLMf6C8XjrvLekkG1R0Kx2M6y5bg1eP+d10lgRtdabb9yMk1qf\nZN5MI3NsxTUrfA0qX3r330lIg0+yqOXmMENq7Jlj/ZlyLjFwdUYFANx6XNY7XWf8/POMLDul0y1T\nUhkbg2REjxHa47WKammPA3REA5ed83TsDTfMDqx+YOD5b5z7BmpWqWnsk4YeNVRbhtR31+G3R/wW\npx5yKnmeM14fX/wxLup8UWh+bCCupOkMZ9XA0BkhYbjumOukCVfYDpbqd6tbta7vc/K7zr/DwwMe\nJkMYJlhCW/ZirHjd+XwwzmIZdmmk126bcGTjI62u21KyBdUKZcNZZWR7NA1O1gBaV87x+GmP+yQT\nT18Mn2oLXkfEvlWsV9SSOdW2uQbaBbyNJxNJaVWZw9SWef0+qXV6p75RvUf55Nm0S6Zh1bWrAABH\nNDpCqt+3HnerP6EztXved97R546s1OFOT9s/5Dohm7hsomQ4qyTI2h3yplKifaN79sptK30/KGkD\nFOGdqxdWxzsXvhOar5237vRlIwAwechk1K9WX5psm0gYTp4tHLZQK0+zRaUwnBljSQCPAOgPoAOA\nCxhjoZZQlBAiHF0ad8EzA59BzSo10bVJV/Rt1ReHHnAoujTuEuoY5BsvSmV9bfBrAQce704Pd/S+\nA8c0P8Z66USsgE+e/qT2HR/41QPWWrvnBj2H8zueD8CSlc+8Qo0qNTC061D8ppM+KL4tjmh0hGRY\niMvI4sA398q5vqex7jyQZuPEBvLQgIfQul5rnH7o6RKLKnZ4unSAbPgztXyb1W6GszucjfM7no+b\ne92M9X+UB4LvhmWdabhUoU/LrJZZfdblR13uB8NvUbdFetBcnu2o29ZvG9gwJmziZsJFnS/Cia1O\nBJBbrMsrjroivSogOL9e1vUyjD4pG7db51gkMnY6I0MXvhCw6+hHHqvfwEDVFwPw67E4uIrSEvG7\nmxjX+tXqY+mIpT5jUpgoxJ0n3KnNi+0q2NCuQ3F196uNnXzLui1DHUC7NO4SuqR4TodzQtMH7CfU\n3p2eNIAef/DxGFAga1lt+8sw8HLr3rS79T06DOsxLLDaAqQnESOPHSlN1viKYceGHXHe4ecB0E+Y\nTm1LT1IovLHgDelvsT/s37a/v3Kkwy3H3eLXZREPDXhIkp1Q+HHXj/hm3TfhO/EphvSw7sOIK9Pl\nw1GrSi0/3Vwc1PjE4pqe1/jHeLvo3KgzTmql3zaat+2wiaMt1s1bByDdf/G6evNxN2Px8MUAzG2E\nS6Z4P9asdjNfftGwRkM0r5OuX2o7qF1Um4zyJE42H+r/kCRhFPuWZrWyOv8lw9Mkm6ttNHnI5MAx\n0XAO8w0ClNCTxCS5RpUawPI0ocLrTau6snyCl7PON4ex9IYsjLFAfevetLvvME/FkeZlzwMQ1K9W\nX7IVTj3kVMlJ2YRKYTgD6AFgied5KzzPKwXwCoBgcFfAN0QGtM122qaKzeMmitddeuSlYIyhYY2G\nmHTRJMy6fJa2AgFZT22KcS5MFmrZjbtPvBs1q9S0ZpzFZTHRiVFkAOsU1fEjLZhQkCjAAdXS7De1\nkYGEFdmfl3e7HC+e9aLVc05qfZLRmPfu9NCmfvhmIdL1GqNWXG7VYfk1y0PlDhxvnf9W6PkWdVvg\nLyf/JaAxU+OWAsCFnS7E3CvnAgA6NZId9Z44/QlJeuLBA1ZkO5pGNRth3R/XSe9q+k62Rojv3KLZ\n3tTPiwb3n3I/jjv4OL9T6duqL7o37Y6nzpDDbenkR0UFRfhH/3+QeVKXfT/47QcAgFfnvxr2KgDg\nb8msMs9axnmF/Oe6kevIAZiXQ49mPfDwgIcBpOVXIlrXay2tdtmg3QHtyHNcbhNmcAzrPgxLhi/R\nOq6I0ElieFnVq1YvEPnHz4OyggNk+zmqbohSm3rV6mHjtxul8/938v9Jg0+UzWG4UfDFZV+QTpGm\nNMLQu0Vv1KxSUyp7PqYAWSNIx2ia4pcDwPgLxoeeF50jiwqKQic3SZYM1GUgrXF1WVEKm6CVlpdK\nbWpzCS23UJ3AeLouhvMDv3rA71cHthuoLdO3z38bQLrPp74zlwsce5Bem8/7L3FiyQ1LFd/PlWNY\nb71pK6oVVvOlWqaxiorW4AJKutikZhOc1f4sHFD9AKwbmTbwRalEUUERbjs+Lf8QV7pNEEkMHavf\nsHpDf/IoSiF0+HzN5/7vWev0q/lFySJgRWbnQJbE6+e8Lu1PIOLcw8/F9pvlseLuE7KRk6oVVsPG\nG7J9T7sD22HFtSvQ/sD25ESEg2o3/znnP5h00aTQa0RUFsO5GQBxZ441mWMBPHbaY/Du9GQZQkjF\nblKzCcb0G4Nx54/DLcffQl5XvbB6wPjt2qQrvDs9nNcxzUJEYVAA8/IBN6R6t+iNstvTHbZoHJ/d\n/mz/d4u6LfyKWnKbWc/FhfxhzEau6NuqL769Wq8xpjD2zLF48FcP4qH+D2nPD2g7QGsUvHTWS3jr\nPL3h27JuS+tOfPwF47XOGyZ8PfTrgBHJv++FnS4kDRWAHmBu6nUTbjz2RuOzlwxfErqDHsdFnS/y\nGdbCZCE237gZZx52pmQ8tqnXRhsyredBPaX63blxZ3xx2ReB63g++rXu53c4Rcki/KHrH0g9rcp8\ncV256Z3+cOQf/N/qxKJpTXrQmrQ8na+wqCwntzoZbeq1QVFBEYb1GIaS20pCN0Wi2v6Tpz8pDQRD\njxqKN859Q3ttgiVQv1p93Nv33mD6mXw+fOrD0tIxhQY1GmDbzbID8YBDBmjZVhGHHXgYbu99u8/U\nAPC9+KnYsFd0u4L0JTj38HNxdY+r/boA0GX13/P+G9D3c3CjHwBuOPYGbL1JjtH94e8+RJ8WfQJ1\nzJX15Nf/ue+fpV0rw+IkT1g2IbR9AzSJw6NAPDvoWd+Yq1pQFaN6j0rHFhfSnfi7iQCAXgf3wq/a\n/iqQVspLGccg0YC/o88deH7Q89rr9pTv8aOaDGo3SHL8UvtmNSoQb89qhJYwtKnXBh9dlN699u3z\n3/b7Tj5JSrAEWtRtgW5Nu5GT8GMOOsb/fnyFTQVvR+cefm722fXbaAkeLn3h7LtKTFHfdFj3YXjz\n3Ddx3MHHGeuFivd+8x66N8uuqohjXYPqDXwJzfcjv/ejxzSqmV6dVA1dHkCA5zPJklrb4KnTn/I1\n7cuuyUa70PmrtG/Q3rdL7u17b+hKhIiXznoJ3Zp2Cxzn7/f2+W/7jsXdmnbTjvGMMZ8QKUwUYnCH\nwdJ3BIL+RQAw76p5eOmsl9K/r5yHp05/Ck+clo6nbjNuAmkJkmikU6gshnN03QWAo5ocpT1eo7CG\n3yDPaHcG6aWqolGNRjj38HP9j8CRYAmsvX4tcRcNtXIMaDsAT5/xNIA0m7zr1l1I3ZFCr4N7+Z1T\nrSq1/KWxkceM9A1fkdHhO+OpRtd/z/uvr6vi2rEjmxyJ8w4/D6uvW43rj74eHRt2xKuD00xfhwYd\ncHX3q2FDYjSp2cSof7PBEY2OwDVHX4PhPYcHzq2+bjVeHfyqHzdbxLHNj8Wgw7SLEVp0a9pN+91P\nP/R0q5ivKo5scmSg0R524GH+YBCGhjUa4sZeQQN5cIfBGNMvO3hf2OlCXNLlksB1ImMfhrFnjpUM\niXrV6qFfm36YeNFE/9g7F76D1dcFd5HUSh8ELLx6IQ6pfwhGHpOWTvRr3Q8ntkwPXnWr1kX1wup4\n87w3pXt4xIbfHfE77Lx1J1rWbekzA9tu3iYxXuJKS/PazfHa4Nfwz4FZ7XTXJl39Zfz1f1zvO9Tx\nZVUg6/B0eMNsWqKchzNELeu2xPCewyXnyqKCItIoaVu/LbmyMvSoof6SLJDu/M887MxARJ2Xz34Z\ntxx3CwoSBVKEH44x/caQRmWv5r20uyzq4qibBoqigiLcc+I9uLL7lZLhvfDqhfhy6JfaewqThVpf\nglZ1W6FvS3qZ87zDz5MiBxx24GGk1KBt/ba+EZJMJH0jhq98nNz6ZEy5eIo0SZl52UytY2UY+ORg\nSJchEjHBI37wwf+Vs1/BlCFTAMCv8yN6jMDMy2ZiyfAl+GroVxhz8hj/3q5NuqJL4y7o2qQrbu+d\ndjzq2LAjHj3tUV/uwlltnbNs89rNfa1soxqN0LNZT1zb81pMumiS/5xW9Vqhf5t0HefMG38WkPYt\n4U5pCZZA63qtMaTLEEwZMgW9W/TGOR3O8ceWBjUagDGG9X9cj5fOekmaNIp9c60qtTC4/WC/LJrV\nauZLs/q06OOH69x84+bACuu/z/q3H4fegyfV14u7XIwFVy9At6bdcFKrk/zxbeZlMyXn3HHnj8Om\nG9OO8p9c+gl+e8RvMaDtACkaDF9dfer0p3xjvqigCFd1u8qffL86+FWMv2C8ZOg2qNEAc66YQzpK\n3np82rdDdCAH0pNbHqvcBjx/QLqPEiciEy+aiEkXTcL/Lvgffhj5Ax497VFdEgCAszucjV23Zp08\nxRWm/m3749zDz/Vtg7FnjsXKa1firj534dIjL/UdIblN0qdFH+342K1pNzSu2dj/bry//uSST/xr\nuJSTgfnbr/du0Ruf/f4zvH7O65h+6XS/TJvWaorzO56PY5sfi7pV66J2UW10bdJVGuOPbHJkwIF/\n042b/I2UTBCDPxze8HBcdtRl6Ny4M74e+jWGdB4CID0GU4QGkCYHjmxi9iFg+2LrY2MmGDsawF2e\n5/XP/H0LgJTneWOEayo+ozFixIgRI0aMGDF+9vA8T8uiVBbDuQDAdwBOAvA9gC8AXOB53oIKzViM\nGDFixIgRI0aMGBnktl9jnuB5XhljbBiADwAkATwTG80xYsSIESNGjBgxKhMqBeMcI0aMGDFixIgR\nI0ZlR4U7B5o2PmGM/YYxNpsxNocxNp0xdoTtvTHSiFrGjLHmjLHJjLH5jLF5jDH9LhQxAORWlzPn\nk4yxWYyx8JhWv2Dk2F/UZYy9zhhbwBj7NuNbEUNBjmV8S6a/mMsY+zdjrEi9P4ZVGQ/KlPEsxthX\njLG+tvfGyCJqOcdjnz1yqcuZ8/vfuOd5XoX9Q1qWsQRASwCFAL4B0F655hgAdTK/+wP43Pbe+F/O\nZdwYQJfM75pI69DjMs5zOQvnrwfwEoBxFf0+lfFfrmUMYCyASzO/C/h18b/8lHHmnmUAijJ/vwpg\nSEW/U2X7Z1nGNYTfnZDe5yAe9/ZdOcdj314uY+HYfjfuVTTjbNz4xPO8zzzP4/GSZgA4yPbeGABy\nKGPP89Z5nvdN5vdPABYAyD3a+88TudRlMMYOAnAqgKdhFRjwF4nIZcwYqwPgeM/zns1cVyZcFyOL\nXOrxdgClAKpnHL6rA3CP3/nzh00Zi7E4awL40fbeGD4il3M89lkjl7q83457FW04W298ksHvAbwb\n8d5fKnIpYx+MsZYAjkR6oIwRRK7l/ACAGwBY7I3+i0UuZdwKwEbG2HOMsa8ZY/9kjAWj78eIXMae\n520G8HcAq5COjrTV87yJIff+UmFVxoyxMxljCwC8B2CEy70xAORWzuL5lojHPgq5lvF+Oe5VtOFs\n7ZnIGDsRwKUAuIYm9mq0Qy5lzI/XBPA6gGsys+8YQUQuZ8bY6QA2eJ43C/vRrLsCkEtdLgDQFcBj\nnud1BbATwM15z+H+j1zqcRsA1yK9bNsUQE3G2G/2Qh73d1iVsed5b3me1x7AGQBeYCziPuO/XEQq\nZ/FcPPYZEbku78/jXkUbzmsBNBf+bo70jEVCxvnknwAGep63xeXeGDmVMRhjhQDeAPCi53n6va5j\nALmV87EABjLGlgN4GUBfxti/9nJ+90fkUsZrAKzxPG9m5u/XkTakY8jIpYy7AfjU87xNnueVAXgT\n6bodQ4bT2OV53jSkJ371M9fF454dIpUzY+wAIB77LBG1Lh+A/Xncq0iBNdIFuBRphqIK9MLyg5EW\nnx/tem/8L+cyZgD+BeCBin6Pyv4vl3JWrukDYHxFv09l/JdrGQOYCuDQzO+7AIyp6HeqbP9y7C86\nA5gHoFqm7xgL4OqKfqfK9s+yjNsgGy62K4CltvfG//JSzvHYt5fLWLlmvxr3KnQDFI/Y+IQxdnnm\n/JMA7gBQD8DjmZWqUs/zelD3VsiLVGLkUsYAegH4LYA5jLFZmSRv8Tzv/X39HpUdOZZzILl9lO39\nCnko4+EAXmKMVUG6s79kX79DZUeOffLsDGP0JdKaxa8BPFUR71GZYVnGZwO4iDFWCuAnAOeH3VsR\n71HZkUs5Ix77rJBjGQeS2xd5zgfiDVBixIgRI0aMGDFixLBARWucY8SIESNGjBgxYsTYLxAbzjFi\nxIgRI0aMGDFiWCA2nGPEiBEjRowYMWLEsEBsOMeIESNGjBgxYsSIYYHYcI4RI0aMGDFixIgRwwKx\n4RwjRowYMWLEiBEjhgViwzlGjBgxYsSIESNGDAvEhnOMGDFixIgRI0aMGBb4f7Xpuoo0HcrxAAAA\nAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f, ax = pltsetup((0.2, 0.35))\n", "ax.plot(t, demod, color='green')" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Sum the demodulated signal across the entire symbol duration (convolve) to be robust against noise\n", "samples_per_symbol = FS/BAUD\n", "symbol_starts = [s * samples_per_symbol for s in range(SYMBOLS_TO_TX)]\n", "\n", "symbol_convolve = [sum(demod[int(s):int(s+samples_per_symbol)]) for s in symbol_starts]" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Threshold\n", "conv50 = (max(symbol_convolve) + min(symbol_convolve)) / 2\n", "output = [[0,1][s > conv50] for s in symbol_convolve]" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "110111111001001010011011101110001011010000010011011010110110100001100000011001111101011000100101100000000001010000001000101000111001001011100000110100111111001010100111101110001000111011001010110011110100001110000000011001100110101001000011101111001100011110100100111010100100111110011110101101100100000010011110101010101000100111000000111001011111100011100101110000000101100111000101111000\n" ] } ], "source": [ "print(''.join(str(x) for x in output))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Verification\n", "\n", "This needs to be 100%." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Total: 390\n", "Correct: 390\n" ] } ], "source": [ "print('Total: {:5d}'.format(len(data)))\n", "print('Correct: {:5d}'.format(sum(i == o for i, o in zip(data, output))))" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "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": "3.4.2" } }, "nbformat": 4, "nbformat_minor": 0 }