{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "source": [ "%pylab inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from __future__ import division\n", "import numpy as np\n", "from IPython.core.display import HTML\n", "from deltasigma import *" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Audio demo of mod1 and mod2 - demo #4\n", "=====================================\n", "\n", "Demonstration of the first and second order modulators, as in `dsdemo4.m` in the **MATLAB Delta Sigma Toolbox**, albeit this demo employs its Python port **`deltasigma`**.\n", "\n", "Port written by G. Venturini. First version Jan 1st, 2014. *Happy new year!!*\n", "\n", "##Introduction\n", "\n", " * The user selects:\n", " * A modulator. It may be the simple `mod1` or `mod2`, or a user specified modulator.\n", " * The source (sine, ramp or file).\n", " * The $\\mathrm{sinc}^n$ filter order $n$ and decimation factor.\n", " * The output signal and quantization error are evaluated.\n", " * The signals are passed through the decimation filter.\n", "\n", "Input, output and quantization error are compared in terms of time evolution, spectra and played out aloud." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Options and utility functions\n", "You may skip to the following section" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [], "source": [ "plotsize = (20, 4) #The plot size in inches. Reduce for low res/small screens" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# An in-browser HTML5 audio player\n", "# Notice there is an audio player in the dev branch of iPython,\n", "# it is unlikely that as of today Jan 1st, 2014 many people have access to it\n", "# for that reason, the following function is used instead.\n", "# It is originally from the notebook 'the sound of Hydrogen' by 'filmor', with small modifications.\n", "# http://nbviewer.ipython.org/url/gist.github.com/filmor/c7ae1a867fc9058ffcd4/raw/91ce69c1400540ed39f68bd92234abfb1dc2ae70/tone-generator.ipynb\n", "from io import BytesIO\n", "import base64, struct\n", "\n", "def wavPlayer(data, rate, scale=False, autoplay=False):\n", " \"\"\"This method will display html 5 player for compatible browser with \n", " embedded base64-encoded WAV audio data.\n", "\n", " Parameters :\n", " ------------\n", " data : 1d np.ndarray containing the audio data to be played\n", " rate : the data rate in Hz\n", " scale : if set to True, the audio signal is amplified to cover the full scale.\n", " \"\"\"\n", " if np.max(abs(data)) > 1 or scale:\n", " data = data/np.max(abs(data))\n", " data = (2**13*data).astype(np.int16)\n", " \n", " buffer = BytesIO()\n", " buffer.write(b'RIFF')\n", " buffer.write(b'\\x00\\x00\\x00\\x00')\n", " buffer.write(b'WAVE')\n", " \n", " buffer.write(b'fmt ')\n", " if data.ndim == 1:\n", " noc = 1\n", " else:\n", " noc = data.shape[1]\n", " \n", " bits = data.dtype.itemsize * 8\n", " sbytes = rate*(bits // 8)*noc\n", " ba = noc * (bits // 8)\n", " buffer.write(struct.pack('' or (data.dtype.byteorder == '=' and sys.byteorder == 'big'):\n", " data = data.byteswap()\n", "\n", " buffer.write(data.astype(np.int16).tostring())\n", "\n", " # Determine file size and place it in correct position at start of the file.\n", " size = buffer.tell()\n", " buffer.seek(4)\n", " buffer.write(struct.pack('\n", " \n", " Your browser does not support the audio element.\n", " \"\"\".format(base64=base64.b64encode(val).decode(\"ascii\"), autoplay=autoplay)\n", " display(HTML(src))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Parameters" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Source type\n", "Set the `SourceType` flag, which has the following meaning:\n", "\n", "* `0`: sine wave, see below for amplitude and frequency values.\n", "* `1`: ramp from -.7 to +.7.\n", "* `2`: audio file: a 9 seconds long recording of a tenor sax playing. Please make sure you download and save the file `sax.wav.b64` first, as explained below." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [], "source": [ "SourceType = 0 # change the SourceType" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If you set `SourceType = 0` above, here you can specify the amplitude and frequency of the sine wave.\n", "\n", "Otherwise, the following values are ignored." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [], "source": [ "SineAmp = .4\n", "SineFreq = .5e3" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If you set `SourceType = 1` (ramp), there is nothing you need to do.\n", "\n", "if you set `SourceType = 2` (file), make sure you download the file `sax.wav.b64` included with this notebook and save it to the current working directory." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Modulator order\n", "Select a modulator order equal to `1` to have the `mod1` structure, modulator order equal to 2 provides `mod2`.\n", "\n", "**Note:** two convenience functions `mod1()` and `mod2()` are available to quickly access NTF, STF and ABCD matrix for `mod1` and `mod2`.\n", "\n", "Modify the following code to employ your modulator of choice!" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Delta sigma modulator ABCD matrix:\n", "[[ 1. 0. 1. -1.]\n", " [ 1. 1. 1. -2.]\n", " [ 0. 1. 0. 0.]]\n" ] } ], "source": [ "mod_order = 2\n", "if not mod_order in (1, 2):\n", " raise ValueError('Please choose an order equal to either 1 or 2')\n", "ABCD_mod1 = np.array([[1., 1., -1.], [1., 0., 0.]])\n", "ABCD_mod2 = np.array([[1., 0., 1., -1.], [1., 1., 1., -2.], [0., 1., 0., 0.]])\n", "ABCD = ABCD_mod1 if mod_order == 1 else ABCD_mod2\n", "print \"Delta sigma modulator ABCD matrix:\"\n", "print ABCD" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### $\\mathrm{sinc}^n$ decimation filter: parameters" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [], "source": [ "SincOrder = 2 # SincOrder\n", "DecFact = 32 # 32 DecFact" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Misc. options" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [], "source": [ "T = 2 # Input signal duration in seconds.\n", "FsOut = 8192 # set to ensure compatibility.\n", "Fs = FsOut*DecFact #Fs" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Simulation\n", "###Setup the input signal" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Generating a sine wave:\n", " * at freq. 500 Hz, \n", " * with norm. amplitude 0.4,\n", " * sampled at 262144 Hz,\n", " * total length 2 s (524288 #samples).\n" ] } ], "source": [ "N = int(np.round(T*Fs))\n", "if SourceType == 0:\n", " SineAmp = max(min(SineAmp, 1), 0) # 0 <= SineAmp <= 1\n", " if SineFreq >= FsOut/2:\n", " raise ValueError('Anything above FsOut/2 (%g) will be inaudible.' % FsOut/2)\n", " print \"Generating a sine wave:\"\n", " print \" * at freq. %g Hz, \" % SineFreq\n", " print \" * with norm. amplitude %g,\" % SineAmp\n", " print \" * sampled at %g Hz,\" % Fs\n", " print \" * total length %g s (%d #samples).\" % (T, N)\n", " u = SineAmp*np.sin(2*np.pi*SineFreq/Fs*np.arange(N))*ds_hann(N)\n", " u0 = u[::DecFact]\n", "elif SourceType == 1:\n", " u = np.linspace(-0.7, 0.7, N)\n", " u0 = u[::DecFact]\n", " print \"Generating a ramp:\"\n", " print \" * from -.7 to +.7, \"\n", " print \" * sampled at %g Hz,\" % Fs\n", " print \" * total length %g s (%d #samples).\" % (T, N)\n", "elif SourceType == 2:\n", " from scipy.interpolate import interp1d as interp\n", " filename = 'sax.wav'\n", " T = 9\n", " try:\n", " from scipy.io import wavfile \n", " except ImportError:\n", " print \"Error: Reading audio files requires scipy > v 0.12.0\"\n", " try:\n", " fpin = open(filename + '.b64', 'r')\n", " b64data = fpin.read()\n", " fpin.close()\n", " fpout = open(filename, 'wb')\n", " fpout.write(base64.b64decode(b64data))\n", " fpout.close()\n", " sr, filedata = wavfile.read(filename)\n", " except IOError:\n", " print \"Wav file %s not found.\" % filename\n", " if len(filedata.shape) == 2:\n", " filedata = np.average(filedata, axis=1)\n", " T = min(T, filedata.shape[0]/sr)\n", " N = int(np.round(T*Fs))\n", " filedata = filedata[:int(np.round(T*sr)+1)]\n", " if max(abs(filedata)) > 1:\n", " filedata = filedata/max(abs(filedata))\n", " filets = np.arange(filedata.shape[0])/sr\n", " ts = (np.arange(N)/Fs)\n", " u0 = interp(filets, filedata)(ts[::DecFact])\n", " u = interp(filets, filedata)(ts)\n", " print \"Decoded the file %s.b64 and loaded its data.\" % filename\n", " print \"Input data available:\"\n", " print \" * sampled at %g Hz,\" % Fs\n", " print \" * total length %g s (%d #samples).\" % (T, N)\n", " print \" * normalized (only if amp > 1)\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Inspect the input signal\n", "### Plot: time domain" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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2Ycv3luKnIYQOcEcI4ZqiKH5XFMXZIYQDgbNG8XlLFUKYCpxC7GN1K1CFEC4s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\n7mMFvBv4T8vpngPeB4wfsYClTbMT8I8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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(np.arange(N)[::DecFact]/Fs, u0)\n", "figureMagic(size=(20,4))\n", "ylabel('$u(t)$');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot: frequency domain" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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RkYlAuQFEZJCoTRORQaI2TaSu7wEn7/0d3vu7Ot3eObcqsIz3/rqw6Cxgt55UTkRERERE\nRERERq3vAacRrO2cu8k5d5Vz7k1h2erAw5VtZodlIiILBeUGEJFBojZNpKeUw2mcqU0TqRuXHE7O\nucuBVZqsOsJ7/5sWT3sEWMN7/5RzbivgQufcJmOtQxRF08vujWUjoLLKKqs8SctbABOpPiqrrLLK\nYy6XJkp9VFZ5EMq3fX3fHV732TMo9bs+Kqus8uCW24lqtdpI24wL59yVwGfKpOGt1gOPArn3fqOw\nfE9gR+/9Aa32PXPmzNqMGTMU3RcRERERkYEXZ/nSwBxgryJNzu53fURkcLWLt0y0IXXzK+mcW9E5\nNyU8XgdYD7jPe/8o8KxzbjvnXATsBVzYl9qKiIiIiIiIiMgwfQ84Oefe45x7CHg9cJFz7pKwakfg\nZufcTcD5wMe990+HdQcCpwN3YzPZXTre9RYR6ZfGYSgiIpOZ2jQRGSRq00TqWuZwcs7tB3Qy3u5F\n7/1ZY62A9/6XwC+bLL8AuKDFc24ANh3ra4qIiIiIiAywqOFeRGTctUsafhrwhxGeHwHbAGMOOImI\nyOh0kqBPRGSyUJsmIoNEbZpIXbuA0/Pe+7eMtAPn3NMjbSMiIiIiIiIiIguPdjmctupwH3E3KiIi\nIp1RbgARGSRq00RkkKhNE6lrGXDy3t/VyQ6893d3rzoiIiIiIiLSJcrhJCJ9025IHQDOuZWA1wKz\nvPfPOuc+BrwLuA04xnv/fI/rKCIiFcoNICKDRG2aSE8o0NQnatNE6toGnJxz7wXOBuYAU51zxwEf\nAS4FdgGWBQ7sdSVFRERERERERGTyaJfDCeArwG7e+5WBDwPHA+/03qfAzsBuPa6fiIg0UG4AERkk\natNEZJCoTROpGyngtIb3/rLw+CJs5roHALz3DwPL9LJyIiIiIiIiIiIy+YwUcJrPe18D5vWwLiIi\n0gHlBhCRQaI2TaQnooZ7GSdq00TqRkoaPs05dxb1hmrJhvLiPauZiIiIiIiIiIhMSiMFnL4K1KgH\nmL7WZL2IiIyjKIqm6+qZiAwKtWkiMkjUponUtQ04ee+PHqd6iIiIiIiIiIjIgGgZcHLOzcB6N7Xl\nvc+7WiMREWlLV81EZJCoTRPpCeVw6hO1aSJ17Xo4/ZChAadXAy8DTwIrYAnHHwLW6VntRERERERE\nRERk0mk5S533fi3v/dre+7WBHwDfAV7pvV8NeCXwbeD08ammiIiUoiia3u86iIh0i9o0ERkkatNE\n6loGnBp8Gjjce/8fgHB/RFguIiIiIiIiIiIyX6cBp+eAbRuWxWG5iIiMI+UGEJFBojZNRAaJ2jSR\nuraz1FV8AbjEOfcb4GFgDeCdwEG9qpiIiIiIiIiMiZKGi0jfddTDyXv/E2A74A5gGeB2YDvv/Vk9\nrJuIiDSh3AAiMkjUponIIFGbJlLXaQ8nvPezgC93uwLOuQzrLTUXuBfYx3v/TFh3OLAv8BJwsPf+\nsrB8a+BMYBpwsff+kG7XS0RERERERERExqZlDyfn3LGd7MA5d8wC1uEyYBPv/ebAXcDhYb8bA3sA\nGwM7Ad91zpVdQk8F9vPerwes55zbaQHrICIyaSg3gIgMErVpIjJI1KaJ1LXr4XSoc+5HIzw/Ag4B\njhprBbz3l1eKfwF2D493BX7mvZ8H3O+cuwfYzjn3ALCM9/66sN1ZwG7ApWOtg4iIiIiIyABRDicR\n6bt2AaclgXs62McLXaoL2PC5n4XHqwHXVtY9DKwOzAuPS7PDchGRhUIURdN19UxEBoXaNBEZJGrT\nROpaBpy89x0lFO+Ec+5yYJUmq47w3v8mbHMkMNd7f063Xreq+sUvE7mprLLKKk/S8hbARKqPyiqr\nrPKYy6WJUh+VVR6E8h3fPfiNGx74HUr9ro/KKqs8uOV2olqtNtI2Peec2xvYH5jhvX8+LPs8gPf+\n+FC+FBu69wBwpfd+o7B8T2BH7/0BrfY/c+bM2owZM9SdVEREREREBl6c5csDTwL7FWlyRr/rIyKD\nq128peNZ6nolJPxOsaDR85VVvwbOcc59Exsytx5wnfe+5px71jm3HXAdsBfwncb9ioiIiIiIiIhI\nf3Rt2NwCOBlYGrjcOXeTc+67AN77WYAHZgGXAAd678vuWAcCpwN3A/d475UwXEQWGo3DUEREJjO1\naSI9oaThfaI2TaSu7z2cvPfrtVl3HHBck+U3AJv2sl4iIiIiIiIiIjI2HQecnHNLA8sBT3vv/927\nKomISDudJOgTEZks1KaJyCBRmyZS1zbg5JzbFPgYsAuwVmX5/cDFwGne+1t7WD8REREREREREZlk\nWuZwcs6dC5wDPIol5l4RWDzc7wU8Avw0bCciIuNEuQFEZJCoTRPpCeVw6hO1aSJ17Xo4ne29/22T\n5f8C/hhuxznn3tWTmomIiIiIiIiIyKTUbpa6vcoHzrl9Wm3kvf9NV2skIiJtKTeAiAwStWkiMkjU\nponUtQs4vd05V67/znhURkREREREREREJr92Q+r+APzZOXcXsLhz7iyGjwGuee8/3LPaiYjIMFEU\nTdfVMxEZFGrTRHpKOZzGmdo0kbp2AScHvA94DVAD7qXeYNXC41pPayciIiIiIiKjpUCTiPRdy4CT\n9/6/wE8AnHNTvffHjFutRESkJV01E5FBojZNRAaJ2jSRupY5nJxzK5ePvfdHdbKdiIiIiIiIiIhI\nuyF1uXPu91gvp794718uV4Rk4tthM9ntCGzS01qKiMh8yg0gIoNEbZqIDBK1aSJ17QJOWwEfA34A\nrOOcuw+YAywDrA3cA5wGfKrXlRQREREREZGORQ33IiLjrl0OpxeAk4GTnXNrApsCywFPAbd47x8e\nnyqKiEiVrpqJyCBRmyYig0Rtmkhdux5O83nvHwQe7HFdRERERERERERkALQNODnnftJk8TzgfuDn\n3vtZvaiUiIi0ptwAIjJI1KaJyCBRmyZS13KWuuBeLFfTvZXbo8CGwLXOuXf2tnoiIiIiIiIyRsrh\nJCJ907aHk/f+6FbrnHNvBY4HftvlOomISBu6aiYig0RtmkhPKNDUJ2rTROpG6uHUTg6s262KiIiI\niIiIiIjIYFiQgNOq2Ix1IiIyjqIomt7vOoiIdIvaNBEZJGrTROpGShq+TpPFU4G1gS8A5y9oBZxz\nGfBOYC6WI2of7/0zzrm1gNuBO8Kmf/beHxieszVwJjANuNh7f8iC1kNERERERERERLpjpB5O9zS5\n3QacAlwNfKkLdbgM2MR7vzlwF3B49fW991uG24GV5acC+3nv1wPWc87t1IV6iIhMCsoNICKDRG2a\nSE9EDfcyTtSmidSNlDR8QYbcdcR7f3ml+Bdg93bbO+dWBZbx3l8XFp0F7AZc2psaioiIiIiIiIjI\naPQ8oDRK+wIXV8prO+ducs5d5Zx7U1i2OvBwZZvZYZmIyEJBuQFEZJCoTRORQaI2TaSubQ+nbnHO\nXQ6s0mTVEd7734RtjgTmeu/PCeseAdbw3j/lnNsKuNA5t8lY6xBF0fSye2PZCKisssoqT9LyFsBE\nqo/KKqus8pjLpYlSH5VVHoTy3Wcc8Yb19j2OUr/ro7LKKg9uuZ2oVquNtE3POef2BvYHZnjvn2+x\nzZXAZ4BHgdx7v1FYviewo/f+gFb7nzlzZm3GjBkavywiIiIiIgMvzvJVsQv4BxZpcmq/6yMig6td\nvKXvQ+pCwu8U2LUabHLOreicmxIerwOsB9znvX8UeNY5t51zLgL2Ai7sQ9VFRERERERERKSJvgec\ngJOBpYHLQ76m74blOwI3O+duAs4HPu69fzqsOxA4Hbgbm8lOCcNFZKHROAxFRGQyU5smIoNEbZpI\n3bjkcGrHe79ei+UXABe0WHcDsGkv6yUiIiIiIiIiImMzEXo4iYjIKHSSoE9EZLJQmyYig0Rtmkid\nAk4iIiIiIiKDJWq4FxEZdwo4iYhMMsoNICKDRG2aiAwStWkidQo4iYiIiIiIiIhIVyngJCIyySg3\ngIgMErVpIjJI1KaJ1CngJCIiIiIiMliUw0lE+k4BJxGRSUa5AURkkKhNE5FBojZNpE4BJxERERER\nERER6SoFnEREJhnlBhCRQaI2TUQGido0kToFnERERERERAaTcjiJ9Fic5b+Ns/zwftejU3GW7xFn\n+anj8VoKOImITDLKDSAig0RtmkhPKNDUJ2rT+ivO8i/EWe7G+WV3Afbs1c7jLH9HnOWbd3GX+wMH\ndHF/LSngJCIiIiIiIiKjEmf5JnGWL9vvejQ4FvhqH153qR7u+2Lgp13c37wu7qstBZxERCYZ5QYQ\nkUGiNk1EBslC1qbdBnyv35Vooh9xjnV6vP9u/k3d7C3VlgJOIiIiIiIiIjIWS/a7Ak0MYpyjm8Nk\nVy0fxFl+RZzlG3Vx30MM4j9CRGSgKTeAiAwStWkiPbFBuNf53jgbxDYtzvIT4ix/bYvVL41rZToz\niJ/7Xv1NM4C39mjfA/mPEBERERERWZhdEe4X72stFjJxlr+p33XokcOAe1qsaxWIku7qZeymZ/te\ntFc7nmjiLL8jPKy1uG+3bqJu8zLwIpb0a17D414sG83zni/S5GVEpOsWstwAIjLg1KaJQJzlxwAX\nFGlyS5d3PW1BdxBn+X3Ae4s0+WsX6jOw4ixfDvjDNifOXOD3fJLZrN8VaKKnszTGWR4ByxZp8nQv\nX6dBLwNOPXu/FpqAE7Ab9Tey8b7ZssmwzRTsfzg13KqPWy1bFLvSsfQonzeaZVOBqXGW/xt4tnKb\n01But3z+siJN5iIiIiIiMri+BKwIHNTl/S6xIE+Os7y80P16QAGn9spcRssCj/ezIj3yx35XYAJ5\nP3AePQ5sNZjSxX3dCGxVKY8pmBVn+ZJFmvyn3TYLTcCpSJM7Rt5KuiXO8kWxoNYrgGXCfbPbKsD6\nTZbPf06c5S/RYXAK+CfwD+CxcHuqSJNqrzGRSS+KounqESAig0Jtmsh8L/Zgn93qbaPj6ZEtCfDA\nL771P6TJ2f2uTLfEWV4GOp7ra0UmltXarYyz/O3AlV3uOLFAPZziLN8MOK1Ik+0Z3ta8J87ybwNx\nkSbXjmK3z8VZ/u7jt2q9Qd8DTs65Y4F3Y43Yk8De3vuHwrrDgX2xRGQHe+8vC8u3Bs7EGtCLvfeH\n9KHq0kaRJi8CT4fbmIXuitNoEohieIBqFeCNwMrh8SrAEnGW/4OhQajyNmRZkSb/XpC6ioiIiMjg\nibP8FcASRZr8o8cv1ZXky+H4udStgNOYU2XEWb4b8NtwfjDIvgYwddkVl263UZzlmxRp8rfxqVJX\nLBbup7ZY/2TjgjjLPw7cU6TJzJ7Vqr1u9gZqZoUR1l8K/Ak7N+2WBf2b3o31VGzmTcBOwG8Zfa+t\nNdqt7HvACTjRe/9FAOfcJ4GjgI865zYG9gA2BlYHrnDOree9rwGnAvt5769zzl3snNvJe39pv/4A\n6Z3QO+m/4TbqH/k4y6cxNAC1SihvgmXkL8urhi7DbYNSofwE8B/1nJJ+UU8AERkkatNkErgAm8Wp\nJ8Nn4iwvT0pbndCP1jKVxwsacHoGGyK2IMe9vwTeDFyzgHWZ6N4HsNqM/72v1QZxlq8J3Mb4DsXq\nSJzl1wBLFmnS2F+l/FwuRnOzmiz7HjYEc8suVa+pOMsXAbYs0uSGhlVdT8kSZ/kSRZr8NxS/0MFT\nuv23t+1V1Uqc5esWaXIPsHVl8bZNNh1r+9P2s9z3gJP3fk6luDR2Mg+wK/Az7/084H7n3D3Ads65\nB4BlvPfXhe3OwvIzKeAkwxRp8jzwQLi1FK4ELU09AFUNUG1bWbYyFtFeJM7yJ7DP6xNYZP+JdrdQ\nl64JDew0bGz+NODJbr+GiIiIyEQRZ/lKwL+KNBnvadjX6fH+ux2I+VTl8YIGnMpeFWPq4VQJpo06\nYBVn+buAW4s0uX8sr91Hy7ZZNw0gzvLVijR5ZJzq06lWvXGmNtx3aosFqEunpgMzCUGPOMvLoNgq\n3XyROMu3Bf5Ck+BK5TUbcxq9HJYtAuxepMn5XarLNODFTnoMhrrdHerdLjA0JB9VnOXnYN+9r3VQ\npU3arex7wAnAOfdVYC+sF0sZbVsNqI4ffBjr6TQvPC7NDstFxiz0VpoTbnePtH2c5UtigacVm9w2\naiivAKzps1RaAAAgAElEQVQUZ/k8mgejXqQeNCrvp42wbBrW6D8fbi8Ar4yz/FHgLuDOhttszRo4\nOJTvRERK4WDyYGy66l9Nxt63atNkFB4HPgn83zi/brd6Ho2kW71engr3T7DgAacyb8xY25YFCab9\nGvg5lqC5I3GWbwDc3afj3jnAMs/cWWwLLYMLS4X7bzOKv6tb4izfDgtWNPYIamexhvtGHX824ix/\nGnhjF4cUNuY1Whk7t+r2TIHtehdVA2srAEMCTsAXgaPp3vf7v8Dt2EiwpuIs3x/rmFML5cVp/396\nlKHv5Z7Y8LuvxVm+ZpEmD7Z5btshpOMScHLOXU7zKOMR3vvfeO+PBI50zn0e+BawT7frUD2YiaJo\nOtS7cKus8gKUHwrlR2u12s9abr/IImxz/OXXAys+cvlZb5+67IrLrrTtzo8AK825/7b1ay/Om/uK\ndbf8E/D8k3/N16nNmzt3xXinAvjv7N+dsclL/31u7pq7ffJq4PlZ3z5g63nP/mvu5l/0VxRpUitf\nb5sTZ14DrPXE9Ze+b/EVVl9jmbU33Qx4/8svzn1dtMiUpeIsvxO487nZdz8/9+nHH37lJm+8ELjz\n+sNmbDWB3k+VOytvAUyk+qisssr9KE+ZMn2zI849brFXrDAHOOjJv+abRtGMP9RqtaviLI/+ee1v\nPzNvzr/mzL7szNMmRH1blEsTpT4Le3mbE2eeBGx3/WEz3jAR6lMtb3PiTLATyvF8P84k5CiJou6f\nT2xz4syrCf77+IPzL6Iv4P6/89Lc5x956uarvrNivNOOC1i/JQGeueMvG0bRjFH//eF/xmNXnbtF\ndNiMqZ0+f8lV13nHJp8+vXw7RvN6VwJ7RFH0eIfbX1+kyb+78f/c7Mjzbl5s2RVXm7L4Eku3eb2X\nAOY9++Sre/F56vD9IYqitzSuL/9XTZ4/FeClF/6z3JD1dn4DsEPj6zWqvP6ywPpRFK1Ubh9n+bR7\nzvziLk/P+tOTY/h7Dmwob0KIcZTvbxjJ8vJNR+/21hefe3ZmJ/tffad9D1j5Te/93I1feOfaAC8+\n98zRiy7VsuPazyuPvw28F6D28ktTwrIPNdTnsjn333bvnd895Lx2f9/iK6y2+Kaf+8llLS4kbdT4\n+XnVm3Z/zZrvPvDs0AP0+4//6cKlX/WG3b4LMPt3Z+y10uvfveJiy644ZCdxlq8F8N/HH1zzhScf\njZfbaLv5616eN3eZOMuXAx5o9nkJ7zeMMBNmVKtNnAthzrk1sSTgrwvBJ7z3x4d1l2L5nR4ArvTe\nbxSW7wns6L0/oNV+Z86cWZsxY8aEGycrMl5Cssv1gQ3Cbf3K/bNYL6hbgJuw8dZ/6/KsCiIi0mVx\nlu8HfALYHjvA3b9Ik7eGdZ8FDsCuPB5UpMkFcZZnWPt+Zp+qPBDiLF8X+GeRJs/0uy7dFo4XngHW\nKNLk4ZG2Hy9xlq8BrATcABxVpMmXx/G1558sFWnS9fOJOMuXoN4j4pQiTf7fAu5vQ6z3A1i+0i8U\naZKMcV8R9V4anyjS5Htj2Mdz2Oxtby7SpOPeTnGWfwD4GfDzIk066gkUeny+AOxXpMkZHWz/auCh\nkf6vcZZ/Alip3ecu9CB5Hht2lRdpckSL7a4FtgNmlu11t4XPbFykyfUt1jX9LLdaF2f5a7FetDcW\nabJ1ZfmngJNaPKfVvoYtj7P8S8AxY/l+xVn+MhCVzw2/ix8HYmCVIk3+EWf5VCyn01s7TWIeZ/nn\nga9V9vsAsGalPP/vqLYRDcueLdJk2TjLHwNWbvHcZYADijTJmtShBnwE+Anhe1h9vfB4O+CvRZq8\nEJbvXaTJj8Pjw7HOPP8FXgd8Bditoc5XAm8BTgGuB36E9XQqv/crYb93UZzlv8U+B8cC+xRp8vWw\nn/ccv1Xtl63iLQs0tV43OOfWqxR3xU54wbpQfsA5t5hzbm1gPeA67/1jwLPOue2ccxE2FO/Cca20\nyCRTpMmzRZpcX6TJT4s0+VKRJh8o0mRLLKnktsBXgQexA5OzgafjLL8pzvIfxVl+cJzlbw4HoSIi\nMgGEE8FDgU8XaTIPS8q7aZzl64cTzs9hbfo7gO/FWb418DHgy9V8EzImdwOnxFkexVk+ZKaiOMuX\nj7P88D7Va8ziLF80TJld9rBZuZ/1aeJSLNgEvZ99arxVh/50I6BV/X4/D0yLs3ynOMtfNYZ9lT0X\nnqX1cKqRlP+v0T7/k2N4rY+F+057VKzb4XbfBY5pDCw02DncvwTsHGf5r1psd0W4n9FqR3GWLxVn\n+e0hUNJs/Y/iLB8pafXFI6wfjTIJ/c0NMyCeVKlTq9nPOrF5s4Vxlj8TZ/milfLUOMt3b9isDOKU\ncY2TqH/WDg73i4f7+Tmq4ixfOqRIKctfj7P85sp+G3MXNX5+fxqe1649Kj8vl7fZZm/gxEo9yr9n\npbBoF9q3x9cCp1fKu1Ue/w/1NuVflddYsrLNW8J9RP27Wv2byiF5U0NdHJYkPqu855u1qd+EyOH0\nNefcBtiX817sSh3e+1nOOY/9QS8CB4YZ6gAOBM7EGsGLNUOdyNiE8e0Phdv8xjA0RK/DZlfYAvgg\ndiLzKBYULntC/RXLDzBvLHlDwtWglYBXhftmt0WBO4C/hdusIk3+PYY/d2BUu9CKyOAJAaGR2tXN\nsJOAawCKNJkbZ/mPsCu7GwHHF2nyAPBAnOVfBP4I/AbLLbgLFqCaECZ6mxYOqt9WpMnvKouXwy56\n/jjO8tWxJMF7Yb9Tx8VZ/o1J1lP4/2EnamWPi/mpMMIJ0P3AOn1I1l2q5k+Zf8E8zvIVijQZNiV7\nt4xwMtkte3Z5f2eF+9Ox86vtgUuwc6eO05bEWf4m6hf1z8HyDX1nDPUpT/ZHG3A6HXgDnQePAMrZ\n1UYM3MVZ/jbgslHWqZ0yOHcGVvemQRTgyEodpoYLBo3K49ybaZ6nZ+/w/IuLNLmxxeu8Ms7yZYo0\nmdNi/Wh8M9zvgwV+T2myzcEMzb88Gu9tXBBn+ZbAK7DPT5kcu2xTm/1/j4qz/FvY72L53h+Bvd/l\nhYFqAG8OcCv1YMlnRqjj1FCvRUOy7jIX1+wmdS+DYuUYvHadfN5Xed43gUPjLJ+B/caUNqls0yx+\n87/Y7w8MDTg9TP29iqjP+L5pk32si33eoHmMaKNwv2plWdk+HtNk+/n6HnDy3r+vzbrjgOOaLL+B\n5m+UiHRBmF3hunAD5h90rU89CHVouH8lMCXO8pewpP5zw32r28vhOSthV/X+2eJWhPsasCGQYFe7\nNoiz/J9YMHp+EIouBqLiLN8R68I6DfuhK2/V8mLAI1jjXN5uL9LkhW7UQUQWTqGtvQoL7B/UZP3b\nsXZ0V+CchsS438eGSN9EJalykSbfi7P8MuA57ERlxzjLL8IOUH9TpMnjPfljBsc7gN/GWf5K6ic+\nU4A9wuMdgN2xE4e/hGVbA38ez0ouoPXD/ZvC/QZxlj9UpMkt2G/2msDa2HCKfqj+tk6B+YHZJ+Is\nX7yHwb0lGxeEQMVqRZr8eEF3Hk4et68s6kYPp/Jk+2zsgl1pbzoMOIULgn+oLNqL+gn2WC0+8iZD\nlMHNjkbkhM/DaHrZnNnhfj/U4f7KgNNoRgQsgR0bt7JRm3VgwZ9Wn5lFsePjNZqtjLO81moIW/ju\nV5/3lsrj3WgecFrgYHSc5VHlQksZSHs78IuG7d5SpMmVDU//UriBHcNXv58/CvdfwBJ4l4bFE0J7\n8kKlvElIcF4GTA/D4hM7hXKz3kc/byi3+17vUHl8aLh31HvCLYJ9l0v7t9lXo0srr70I8DvsolSz\nwOD/UA8wT2lYXj6/UUexpL4HnERkcghXNW8Pt3Oq68LVz6kd3qZgs6f8E3hmtD2jwsnYWli0fxOs\nS/LB2MHxNcAhRZrc0XoPbfe9GPBl4MNYV9p/YQe5L1CfDbC8zcUOwDfHfgwPA9aJs/xu6gGoe7BZ\nHx4D/lGkyfNjqVejidwTQEQW2KewE5C3x1n+oSJNflquCCenp2JXPufScLBcpMl9cZZ/FLioMfhd\npMl9YR9XY8NDdseuWu9JvVdLX0yCNq0cKvM16kNItsZOoE/ELoi8DUsMW/6/Noiz/I4iTZ5iciiH\nzBwd7r8BEGf53sB+YdkG9C/g9HfsRH4J7CJXRL33wKpYjtdeGBb0xb6Dr2XoCe1YHYv1TrgfO7ZZ\nJM7yjYATijR59wLue16RJs/EWT5/QZzlnyrS5FsdPLfxpHaR8PwYuH6Ms2EeBrQaZtZMedLb6fnq\n5xg5QANAnOW7Uuk1F2f5lDa9997ewf6WpT6sqeWMhk2GNS6BDVfslVf34HlTw/CqFxuWV3MyrVp5\nvGyZ7y7O8u+P8LqLMjwA1yyA903sAnhTRZqcFWd5AcyKs3w9WgTdWtiEerALbJTHkdQDTtuHodSj\nmQWv/P4s3+HzXqYe4GnsnPP5UbzuHliaIhjaY6qV8rtWreMh4b5ZwKmjILICTiKywMKBx1zqXV17\n+Vrl8Nt7qTei5djig4Br4iz/IXDsaHo8xVm+PhZIexTYosMr/rOwqwflPqZhP1Sbh9sO2LCEVYGV\n4yz/NxZ8eiy8zv3AfZXbw30criAifRaGbh2M9V56CbgizvL7izT5Y9hkDyzf3lHAv4o0+WfjPjro\ndXED1nX+c1j+vgVKULyQWB87CToAuJp6cOD3QI79DpyNJTh+AgviHQH8KM7yV3RpSEuvrYwlpt2r\nYfmHgTeX28RZvsh4TjcfZ/lrsMDS67FexUtggYs1qed06knAKc7yc6n3YqvqZk/mtcN9dcjP24B3\njWYncZbvgA2v/VRYNIfmPexOii0Z8mPAV4s0Ob/JvqYBJzcsLs8Zr8OOc2Z1UKcvUu/xB/CGdr1q\nKs97BXaS/e2waNc4y19fpEnL4Vpxlm+KXTAsjXQi3BisWAxLrNzMsF5uTTxdeXxfpV4/x3qR/jjO\n8qWpD2kqDZvdqyFH0qgt6POb7K9xarYdseP9qxqWfyjO8o8XafIc1v6VjsB+b6AeyJwfVGrIJzSN\n4QGnZgGaLeIsX6JIk1b/M6j37ruLyv82BP2G/XZWNA6jLZOk/wzrJfhO4II2zx8i/H1lO7IKdrFn\nJC/RulfUn7D2r91rlsGhd1MPgN7aweuWwehq+1NOW9esh2OzgPwwCjiJyEAIY+C/FQ4QTwRuj22W\nJt/uSlz4Yd4Pu3J9FHDqGK/cEXow3UD9ILj6OosAy2M/NqtgV9bWwg7kPwKsA6wUZ/mDWDDtr9iJ\nzTVFmgy5+jXR852ISHMNwwWa2R7L3XFzkSa1OMu/ig2B+WMY4nIs8NEiTfI2+2gr5Hr6KNZN/hTg\nK7HNknUy8OMiTf7Qdgf1v+WtwOwiTW7v4O9qayK3aaFX7WbYEPLPYCfCD2Lt9xNYwAngtPAeXBZn\n+esIOVawYMiEDDiFCy0rYQGdtwEfZXjAKcF6bX0I+CH2PhzM+Lm/8vgh6r1SPhBuYAGQseaOaac8\nSTwb64VEnOXvo3lOnQV9jQOwE8OESv6sToTP6O+xi2YfDIvXqnwntwHOpx7cWjncfJzlR2C53V7G\nUhTMY+jwHbBZC3+FBR/BjmVGqlPE0ADQaBzE8JQqf6b9sKQtGsrfjbP8hiJNrmu69fCgwrTQjv2n\nujC22dmWblfZJgGeC249Ya+dNv3cTy7Fggu7x1n+P9T/N1XLM/QzDh30qBpB2wTOrcRZPiyNTfB0\ni+XTmyzbG/td2bCybJfwOav+XVPjLF8qBKfurSxfG7glzvJqQOVUoNnsiKs1CYaB5Skk/IaWy6qB\nvf0ZGvCa3wMraBVw2rqybCs691zl8d+qK+Isb/zcll7CcqY1uot6u0ec5etUHq9V2a7aK+rqTitK\nvRdTsyDrsU2WfaWTnUa12piPDyaNmTNn1lpN0ycigykkuzwFOyH4ZJEmw67GhS6x38e6xn+w2Tbj\nKVxVXCvUJ8auIsXYVZqrsQPKP1x/2IzNRjo5CwGudbCeVhtgSQ3/huWZeq7dcxv2syh2QLQccH8v\nk+CGq39bYTMnbofV+3vYiZx6fsmkFpKBHgT8sEiTA8OB8hnYifLL2MH4q7G8TF8Jz9kE+HWRJq8N\nAfQdujDMprFeDwAzse/d4sBmI1w1Lp93N3ZivBaWr+J24P+NpffLRAo4hd6yJ2FDNu7HpozeAQsG\nfBkbxv04dpXbF2myR1xPIlvuo5zOHWyI2g+KNHmk4XWWxa4mXwy8okiTH/bwz2oqzvKzqAeYzsV6\nvA27Ch6mwz4Om2L7yiJNkib7apX8uJN6ROF1hp2UxPVZwa7BTtxanYxvUaTJzS3WdVKH9Ys0uatS\nnkJ9yNApNL+Sv3aRJveP8nVOAr5ZpMlD4Te//K4tggUkqsGeA4o0Oa3NvnbA/l/PA0MCJY29iMK2\nvx9NXStuL9Jk4zjLn8KOBQ4t0uRbI/zfqt+BRvtgyYx/3+wzE2f5CVgvtkbvAy5ubJ/C+/ghhs7U\nVTq+SJPDK9suivXe2B5Im2y/ZqgbWI+OOVgb3Zgb6udYcvZfY/mFyqTX6xdpcncURdO3OXFmY46h\nqt9jx3gAbyzS5E+VOja+n1sVaXJTZf17GdrDZq0wQUS5/hEqiZ2rn4U4y39CCJ4Gr8WOE5elnueo\ndAqWS2glemcG9vtTtQj2m9i4bDXq/xuw/2FjL74dizSZH2Bp8l6C9c5rDBqfhuU2Agt2fgtr50s/\nYHS5k8bivzTp8VbxKobWCazHXJlDagfqwaV9seOLsbqAznpizXf8VjVaxVsUcBKRgRUOLD6BJRH8\nMXBMObQhthkgzgQ8cMRETfYdejWUwacdsB/Y56kPy6sO0ZuLzS64OXaF60ksl9Sd2FTXm2BDQ/6B\nBZ/uwq7kLI0dWJW3ZbDu/cuHdU9hB10rYD9ml2GJB+9ekF4N4e9bHvtR2xMLMt1CPWH9bOxkbVng\noOoBWYt9bYcFrG4Gbp0kw1jKq1L7AxcB1zaesIeD+jXpYh4wWTCxJY8+BFi2SJNDw7JpWM6UYcHR\n2JLOHoOdLN+IBYOPxU4KHsWuZl6FfecuLIfKhf/9P8LzLgPePNYcdW3+lquxYNM7sFmA7yzSpO10\n23GWr40d6D8c/p4NsQPlHxRp8v1yiERjb4FR1GknYKkiTToetjDG13kNdkL1Q2CPIk1OjbN8G2zS\ninJ42SPAmkWavBTbNOT7Y8GPDwLnFmkybIaxOMvXwHpBPY8NB/lykSZHNWzzBmzmwH9h7e4mRZrc\n27ivJvv+GHDmSMH/OMsPxtrQB4s0KSrLNwt1WwQ7QX9PWPUerP2t1uGdwJJFmpwfZ/lhwAlh+R5F\nmviwv+WxE7iVgZ2KoTP5VeuzepEmw2ZzCusuxXolfKhIkzvjLF8XS8h7CfWcUdOx3CU7VZ56CBa8\n2ALqJ9Zxli+FnVSfX6TJvxhBuPj0BBbQ/UOc5edg791nwyavxH4Hm5lWpMkLsU1h/qqQXLjda9Ww\nwN5Z2G8zZd3jLHfAeQ1PmVKkyctxw2xjcZYvg+X+ORcLkFaHrg0LOFVeeyzuLdJk3TjLb6MyW1aw\nd7NhvHGWH0p9ZjMYemJceqFIkyHDpUIdz6P5UMbSB4o0OS9svwgWGGx3nvdKrHfWadixVPUz2iqY\nCDZRTePQwqpq0AgYFtxp9X4fWaTJcZX38/4iTdYOzynbjkaLlcG5FvtdDsvF9wg25KrRBdhx1QlN\n1nXqcSzo0Q/tvoOlE7C2dv7vTpzlR9JhL5wGd2IXPUvVnEp9EdqIdt/hK6knd7+UoW1lz7ULOGlI\nnYgMrHDF+eQ4yz1wPHBHnOWfw4IxHwL2KdKkm1Pidl0IhF0Tbl8NV11XxE5UV6nc1sa6wN6GBdFu\nLpokqw1BuHWwqzvrYt2Kn2u4zcGCVU8Cz5YBkHBQ/lZsKM7ngBfjLP9NeL0/dtqzIfQg2A07IZiO\nnUifDOzcGFCJs/wtWPdhH2f5FUDaLG9N2O48LGizL7BxnOWPYlelvlHtfdBB/XbGruQ/iZ1Ql1fU\nXhFuz2En2TdiB+JjzmcSAgrfw4KF7wZWiLP8yCJNqlca98Gutk2NbcjlY1iA4mksEPfoWF+/H2JL\n4LnZggQTwknufzoNwIX3Oar+r8Y6DCzO8s2xmVx+jw2VOCJccT8Dm4Z6V+zk5yfYifgUbKjS24s0\nuTfO8kuwAMc2wKbNvqelMCTgKuBy4KfdDjYF92OB7Ouw3pSz4iz/TtE+j90MbAadGhYsPgz7PpwV\n2pgTgJfiLN+3SJNftN5NXTw0N9C3gfVjG+r3P8CKRZp0fLU2PO/HWPv2ILBqkSZ7N9n0A9iMRWsB\nB8ZZfibWk+F5LNj0ALBfJYj4HNbezsHamqY9OELvlaWx3idrM3QWslKZlHd54G7sxLVpwCm8p/tj\nQYrTgKViG7b30Ra9S6ZRz38D4WQ8fA+qvYDKz97vsJ5WKzb8HRdVitWesdti7T7Y70gZSNiJoSfz\nxDbr60eB/42z/Cisx95fG6pc9lo6CUvQfiyVYSOhLr+PLfdQ1XnUE5qXwYdNsMAZ2MWKEyvr34oF\nrY4v0uSKyn7K4TtXY+/VkCBikSZPx9mQUazzqOdF+UGc5fdhQ/Kh/l4vgf2vnsYmM6n+n47ETg5L\nZYCh2e/UsnGWnwrsEYJO/w4XKf4e1r+Nhveqi6Zin90yaPd7hgectgZ+HP7PPy7SZK3weJ2G7d7I\n8ITziwPEWb4tFjArh4K1CzYB/CTO8k9jPV4eZeSZ/crP+bexwGJVu57tjcGmzzE0YNNJEuZmvhHu\ny//3WuEY5kTsd6GZ5WNLGTG9xfqvY9+z/2uxfndG2WOliWuwz8JHG5Z/mqHBxV7oZPKFrzS5yPFt\nxhZw2qCh3NdgU8Vc6snLG1VnEuw02OSxiy49pYCTiAy8Ik3+AewTZ/n22I/iI8DmRZo0HnhMeEWa\nvBRF0UZjHX4SAi93hdton/skdoB/Xjhx2Ri7Kn4KdjB0flj/lxYnQa/ADlQOwU7kTgf2KhpyVDW8\nZg34WZzlv8V6iPw1nMTOP6mJs/zN4XVdkSZXhWWLYgfGXwdceE7b4RaxzVJ4HHaw+ynsZHoN7MTw\nZexq8qPYQeYHsIPDKM7yA4o0ubjFPiOsx9msFj0S3hf2v2WRJvNCMOPSOMsfLdLk0jjLN8AOcLfH\nTkrLnCtTsODfpXGW71ikSdMcCyFI+NqidR6LtuIs3xpLZt+Y6HRBnAJsHWf5bsCBDVft34ydbC6G\nDSe5pfrE8H7uix2w/5IOpviObXjt97AcJEeGZbtin8VRJeYNzsQObH8Y/j/bx1l+I7AL1mPlROzk\nfSMsgLAEkBRpcnt4/o+wQMX0dsGmiqOxwGnjsINueQC4qbChts/FWf4L7D0+vs1zXoudqC2C9YK8\nEcs79xosF807sCDEQXGWX4wF2L5RpEl15h/KXhsbHXTy95Zea5OPxZYY+DosjxVYj6tvYAHWYQGn\nOMv3w4b7NF7R3xZYDzuBXYRKot44y/837HfnUM9FqX+OzsN6cn4fy1N0YJEm1ff9P9hn89kiTd7Z\n5v2hSJPnQpsHsF08fBas6qxJfwKOjbM8A97V5O9JsJkFy6BPeXKXMXTa+9KwXgix5VBpbCduwNqR\n3xWW26tdAPdCbErxVQgBmjjLV8N6HpSG5LoJ39fzqQ/JOQbLSzJsKvLghdBzpzrL14XYBQoYGlhY\nLLSZ1WXvZOgsaMsw1OXhfkac5Z8v0uSEOMuXozIteZzl1Z5C38QuiID93Y+Fxyn15LqNOa9KZ1AP\nBM2Js/wYrLdyqQx4bV35XjQbkvgO6gGY1bDf7r9X1q8w7BmtHUM9MDaicLxQzel2FPbdqfpknOWf\nIiSQDheUrmqyr3sbgnaE7d9MfRjQLcM2aG4q9h2H4bOpnYvlxWzVa33FhvJoLhg1Bqc2byjPH94V\nhtQ13UmlR301KDdSXr7HRlhfBoF6OQnEL7D2tDHg9H16H3DqxLD/ZQjQ9qMu3bZ3uP8KY8+N1ug8\n7PdaAScRkW4p0uTPNL/SLKMUAkF/C7evxFm+Mfaj9SMskePt2InQ7VjX5DdgV6IvB95XHeLR4evN\nAT4dAk8/jm3ml8OxmWYuwHJwXVXZ/kXg5tgSde4DXB5n+WnYrDzDTqpiSwz6M+ygbosQXBtRnOUJ\n8MM4y6/E8lqUU/9G2FX7L2MHxLU4y08Gvl8O8QgnoycBe5Zd5Ys0uTnO8vcDv4htWNHpwJcqwzRu\nq7z2TGy4zq/jLH97UclrEVt+mM9gQwWmxFm+SavhLG3+tjWw/9fDcZa/uRiaVHNMwvu1Tridir13\ne1QClF/EekhsiPX4ajwB2Q27yrwL1uvtDU1OzsvXWgwLXu2FBR4/F2f50Vgg8UTsqvKqo+khFluC\nztWwoBPYScJbsADM5Vgw9VbsRPecIk2+1riPIk1+F9vwohHzJIXtZ9HBjFAL4Cps+FDpDCwoeHw4\nefw4cEpDEHllrLfCM1gw6JYwrOgfWDDhFuzq/Y+wk/MPAteH//+VRZrcEHpBXBBn+QZLrrHBnlji\n4hlxll+PXV0+Fwuo7A98I7YhS09hQcItsODw6djnpfFq7kZYMKUM+Fbf6w+F5x+N9c74LXbl/yTg\nUCwAtxcWcGrMZ1QGfDqdxvwt2LG2xwL01f2thgWRp2AXQVbD8sIcFNuwuf0KG8a3CBZohqEnBrdj\nQ4jvAIizfMMiTe6ILdnujVSGMIV9fLWhbq8u0mR2bDOJlT21WgacQvuxapzl7wQ+H75fs0M9SjNi\nG/KxXGgv1mF4/pf5J86xDVGsJqJ9nqHv7QHYsLqyx+f8HiVFPfdPNYg2o+G1FovrOXsuali3c5zl\nFzI8YLdt5f76yue+DBZOx/5v36KJ8F6vwtBeR0dgn8XDGza/tiEI26yH008rj98cZ3ljL6GOFWly\ndJzlb8N+j6/Ago1VjcOIGp//RIuT9zdWHrcb6rk/Fjyv6iSh8fp0fpFsbgiedrg5Newz2Umi9ktG\nWG4OxLgAACAASURBVD/aXJONAdEJrUiTn4bjk8blz02AoM5FTXo3NWr2me+lbp5zlPnSjo2zvFsB\np72LNHl+PP53E6V7mIiIdGiiJNetKtJkVpEmRxdpshF2kvEZrPv1StjVsKnYldwPjDbY1PA6OXYC\nuQaWZ+VXwIcbhkdUt6+FoThbYCd8t8VZvku5Ps7yJUIQ4jrswH7XToNNlfpshl1NvS/O8lvCFfJb\nsSt+GRZw2hkLotwbZ/n5seXq+BpwWdEwK1iRJtdg79+fsVmZms3OUgb9Po0N+ZvfjT4Euy7ADtJj\nbFhHx1e1K/v4YfgbrgIujC2fWNNt4yxfL/RMGGmfXwO+GE5G98Nyjn0grH8NFgA4CTvx3rHJ87+A\nDav8I5Zf5ZS49RTQn8Xygm1epMk3sROWd2InPbPDa+w6Qp3fHGf5l+IsL2ekeS+WY6k8sbgyLEux\n4SSzsd4q+2IBlKY6DTaNhyJNZhZpUv2MXY8NZ1sSC1KczPBZqcrkpTdgvWPKv+de4LEiTZ4NB/9X\nYv+Hv2PDlDLg/bENWz0YO+H67CJTFr0LGwL3ZqyX1DPY5+4lrIfMtVhgaB4WcPwS9h5D82PZjbEg\n3YPhtVeJs3yF2Ia5vQH7DByCfcfKE/hvYAGNjcLzLmdoglqoJ2buKD9ckSa3Fpbs929YjyviLL8o\nzvKvYEGtK7EePGWPrnOx4NxHqAdPnsX+BxdggdbS1cBP4yyvxZaT8PbYhqsegPV6qQaC1qceTHoo\n1G12uD+2SJMyCNRJLsN7sXa97KW0UWVdOQva06H32XbY96E6fOytoc6LMHzWo2o+n+OwHFkPFmny\n6ybrS3tiAce5DJ8977BQ319gn+uqHWjeOwyAIk2KhiBr+Z2/g/r/v1munZcYGsAtNQabYPj7XQbR\nrqU+ZLHqdEYOajzO0OGUQxRp8sYiTaIiTd6GDWu/prL6vcDHwuOmPfiKJrmh6HwWrLM63K7qniJN\n7h7F9qMN+tSwYbsj+UnRfvKSA7Hvre20fpxW7UXb8v8yCXwn3Ld6DzoaOh2MZta0TrXLf1f2YLy/\nB69bdXtDedjkCgug652Eml187RX1cBIRka4KAZs/hlsv9v+vcJXtQ8DjRQd5uAqbIWr30Gvo5DjL\nP46dwB2NnYhsWaRJs5OHTuozB/hEbLM4LY8NoYqA6yoHqDcDe8dZviLWS2c/7ESt6dS6RZr8JM7y\n54Crmg1PrGz3cpzlB2B5d94UglW7YldrdyrS5MU4y48H7optlrR7sODIxlivissahgyVDsDynxyP\nHZD/Egtuze+xEwI9n8VO8lbADkgbc6xUzcCSI58X6v7fOMs/DFwcZ/nfwvtybrjidg1wTjx05qud\nsMBlGcg5F+tevhlD89KUdgc+XdRzfv0QO3FfBBumsi7We6dpQC/0Evs1duJ3bmw5c97H0ODdn7A8\nJF/HAiJgV/A3omH648ki9FSahQVpP4ydyL8KeDLO8t9hvXxWxr57f2doEOQehg57+hXWU+37WIAH\nrOff57AeOEdjJ+K/xvLDnI71yrsc6z32f0WaPBN6NpYnPGWvnoPDc14XemLtgg07eBqbJOFiLPgd\nYYGQJ7Ar3DdhJ/Rg3/1yuN0/i6HDXpudhJY9nDoZCllVTba7c7gBXF6kyc/jLC/fm+pn5nexDQNf\nKpR/iwXaV8e+39Vk2OUMd9VeIHOxE+AfYydCp2KTaPwSC7APE3pUEbZdqtk22Pu4PkMDOE9hge3P\nh3otz9AZw45naH4Rwt9RNZ36UKxrgaOK4bn33o0FQefPshUCZ7NDj6vGeq5IPT9Tq2F8nSqH6/wr\nDOWbggWt12zznKp/0zDkkNYBpx2wgOpoh7pMw3LVdXQiGXqsXI59B5Yv0uSpEJSF+pC/rgk9j07A\nvv+dWJN6MPZ3tJ6hsGq0efleZvjMX80cOsL6mUWa3FddUNST2JeLGj/PSzE0N9pE8Cz2m9c4bK7s\nndk4bK2cffN66jP1jSSlIcn9KI00m1ujcghq4/ev2z6CHVeuARbQ6WLvoV7O1Pw37EJPz94f9XAS\nEZlkoiia3u869FvouXR2J8GmhuddivWquRYL+uxfpMn7xxpsatj3Q0Wa3FykybVFmvy52dXQIk2e\nKNLk9CJN3l6kyZpFmzxiRZr8ouhghqXCcmB9Gjg1ttmZvo4N73sxrH8KG0J2MnaCnmD5gJ7B8nEN\nGUIR9nEMllT//7d372GSVOUdx38NqGC4JIoJBAjoI0HxAoLNJkpgLaIuiRES8CTEGyCPCIrmUQsD\niAIaFRpvCCJBYBFBcyAoIAhutmERvOzhokYQFMICuz5mV3cBYQks7OSPc852dU1Vd3VPzfRM8/38\nM9NV1dWne7rP9HnrPe95KjyPz0h6e8wmCgP8c+W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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "if SourceType == 0 or SourceType == 2:\n", " N = max(u0.shape)\n", " if SourceType == 0:\n", " U = np.fft.fft(u0)/(N/4)\n", " else:\n", " U = np.fft.fft(u0 * ds_hann(N))/(N/4)\n", " f = np.linspace(0, FsOut, N + 1)\n", " f = f[:N/2 + 1]\n", " semilogx(f, dbv(U[:N/2 + 1]))\n", "xlabel('f [Hz]')\n", "ylabel('U(f) [dB]')\n", "figureMagic(xRange=[1, max(f)], size=plotsize, name='Spectrum')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Play the input signal\n", "\n", "Click on the Play button to listen to the input signal.\n", "\n", "*Requires a HTML5-capable browser such as recent version of Chrome, Firefox or IE.*" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Show a Html 5 audio player\n", "wavPlayer(data=u0, rate=FsOut)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Simulate!\n", "The simulation is run calling `simulateDSM()`." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [], "source": [ "v, junk1, junk2, y = simulateDSM(u, ABCD)\n", "del junk1, junk2\n", "q = v - y # quantization error" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Inspect the output" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot: time domain" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "N = max(v.shape)\n", "nPlot = 400\n", "if N > nPlot:\n", " n = np.arange(int(np.floor(N/2 - nPlot/2)), int(np.floor(N/2 + nPlot/2)))\n", "else:\n", " n = np.arange(N)\n", "n = n.astype(np.int32)\n", "hold(True)\n", "t = np.arange(max(n.shape))\n", "step(t, u[n], 'r')\n", "bar(t, v[n], color='b', linewidth=0)\n", "ylabel('$u(t), v(t)$')\n", "xlabel('Sample #')\n", "axis([0, max(n)-min(n), -1.1, 1.1])\n", "figureMagic(size=(20, 4), name='Modulator Input & Output')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot: frequency domain" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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HZQegpc8FMIYbxn/ZJPBhbPHVAKRfk20DTdDTBr2tMNQ4/lr1w9DcD00Dbr/e1skFM2qp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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "N = max(v.shape)\n", "Nfft = min(N, 16*8192)\n", "n = np.arange((N - Nfft)/2, (N + Nfft)/2).astype(np.int32)\n", "V = np.fft.fft(v[n] * ds_hann(Nfft)) / (Nfft / 4)\n", "if SourceType == 1:\n", " inBin = np.round(SineFreq/Fs*Nfft)\n", "else:\n", " inBin = np.ceil(Nfft/1000)\n", "hold(True)\n", "ylabel('V(f) [dB]')\n", "xlabel('Frequency [Hz]')\n", "semilogx(np.arange(max(V.shape))/max(V.shape)*Fs, dbv(V))\n", "f, Vp = logsmooth(V, inBin)\n", "semilogx(f*Fs, Vp, 'm', linewidth=2.5)\n", "xlim([f[0]*Fs, Fs/2])\n", "msg = 'NBW = %.1f Hz ' % (Fs*1.5/Nfft)\n", "text(Fs/2, -90, msg, horizontalalignment='right', verticalalignment='center')\n", "figureMagic(size=plotsize, name='Spectrum')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Decimate; Comparison of output signal and input signal" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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mrVoM5XP7EP12kMceJSfAtOqtdzVYvOJpg8U8RlMoipH42QwsxvhdcibQmeQg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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "w = sinc_decimate(v, SincOrder, DecFact)\n", "filtered_q = sinc_decimate(q, SincOrder, DecFact)\n", "N = max(w.shape)\n", "t = np.arange(N)/FsOut\n", "subplot(211)\n", "plot(t, w)\n", "ylabel('$w$')\n", "figureMagic(size=(20, 4))\n", "subplot(212)\n", "plot(t, u0 - w, 'g')\n", "ylabel('$u-w$')\n", "xlabel('t [s]')\n", "figureMagic(size=(20, 4))\n", "suptitle('Output and conversion error');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Play the output signal\n", "\n", "Click on the Play button to listen to the output signal `w`." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "wavPlayer(data=w, rate=FsOut)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Play the quantization error (filtered)\n", "\n", "Click on the Play button to listen to the quantization error `filtered_q`." ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "wavPlayer(data=filtered_q, rate=FsOut, scale=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###Play the difference in the signal before and after A/D conversion" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "wavPlayer(data=u0-w, rate=FsOut, scale=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Final comparison of the spectra of the three signals" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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TBX4BENkKBv97Rswc4FVpE+mvFVs+MisBIoZKUqac9BOYRrLSwFDSz3DShxHD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\nJUUpIdUGyu1VloRJRd+2l/vdGBWtNnmMEJJPwMgpNKwlSjq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E3hWdVuJGI/aR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\nh6aU2gOYCRyotS4HvgAtKZ86sN5ewB8wk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Thz+Fw/DSUrRVu7cWVwvmUqw/tlOeFU3ucG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glc6MxhQ1HHD6qb25+i1wms3A+x/MTfm3+3npA5ghVwtS6cz1qXTmh6l05kVMb80oTG2Iqiyd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\nrbodMwZ1CSb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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "N = max(filtered_q.shape)\n", "Nfft = min(N, 16*8192)\n", "n = np.arange((N - Nfft)/2, (N + Nfft)/2).astype(np.int32)\n", "E = np.fft.fft(filtered_q[n] * ds_hann(Nfft)) / (Nfft / 4)\n", "W = np.fft.fft(w[n] * ds_hann(Nfft)) / (Nfft / 4)\n", "U0 = np.fft.fft(u0[n] * ds_hann(Nfft)) / (Nfft / 4)\n", "if SourceType == 0:\n", " inBin = np.round(SineFreq*Nfft)/FsOut\n", "else:\n", " inBin = np.ceil(Nfft/1000)\n", "hold(True)\n", "ylabel('dB')\n", "semilogx(np.arange(Nfft)/Nfft*FsOut, dbv(U0), label='Input signal')\n", "semilogx(np.arange(Nfft)/Nfft*FsOut, dbv(W), label='Output signal')\n", "semilogx(np.arange(Nfft)/Nfft*FsOut, dbv(E), label='Filtered quant. error')\n", "f, U0p = logsmooth(U0, inBin)\n", "semilogx(f*FsOut, U0p, '#1E90FF', linewidth=2.5)\n", "f, Wp = logsmooth(W, inBin)\n", "semilogx(f*FsOut, Wp, '#556B2F', linewidth=2.5)\n", "f, Ep = logsmooth(E, inBin)\n", "semilogx(f*FsOut, Ep, '#8B0000', linewidth=2.5)\n", "xlim([10, FsOut/2])\n", "msg = 'NBW = %.1f Hz ' % (Fs*1.5/Nfft)\n", "text(FsOut/2, -6, msg, horizontalalignment='right', verticalalignment='top')\n", "figureMagic(size=plotsize, name='Spectrum')\n", "legend(loc=3);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Conclusions\n", "\n", "We briefly demonstrated the use of two modulators to perform A/D conversion of audio signals. \n", "\n", "Feel free to go through this notebook, change the parameters and resimulate!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### System version information" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "data": { "application/json": { "Software versions": [ { "module": "Python", "version": "2.7.10 64bit [GCC 4.2.1 (Apple Inc. build 5577)]" }, { "module": "IPython", "version": "3.1.0" }, { "module": "OS", "version": "Darwin 14.3.0 x86_64 i386 64bit" }, { "module": "numpy", "version": "1.9.2" }, { "module": "scipy", "version": "0.15.1" }, { "module": "matplotlib", "version": "1.4.3" }, { "module": "deltasigma", "version": "0.2.0" } ] }, "text/html": [ "
SoftwareVersion
Python2.7.10 64bit [GCC 4.2.1 (Apple Inc. build 5577)]
IPython3.1.0
OSDarwin 14.3.0 x86_64 i386 64bit
numpy1.9.2
scipy0.15.1
matplotlib1.4.3
deltasigma0.2.0
Tue Jun 09 19:24:05 2015 CEST
" ], "text/latex": [ "\\begin{tabular}{|l|l|}\\hline\n", "{\\bf Software} & {\\bf Version} \\\\ \\hline\\hline\n", "Python & 2.7.10 64bit [GCC 4.2.1 (Apple Inc. build 5577)] \\\\ \\hline\n", "IPython & 3.1.0 \\\\ \\hline\n", "OS & Darwin 14.3.0 x86\\_64 i386 64bit \\\\ \\hline\n", "numpy & 1.9.2 \\\\ \\hline\n", "scipy & 0.15.1 \\\\ \\hline\n", "matplotlib & 1.4.3 \\\\ \\hline\n", "deltasigma & 0.2.0 \\\\ \\hline\n", "\\hline \\multicolumn{2}{|l|}{Tue Jun 09 19:24:05 2015 CEST} \\\\ \\hline\n", "\\end{tabular}\n" ], "text/plain": [ "Software versions\n", "Python 2.7.10 64bit [GCC 4.2.1 (Apple Inc. build 5577)]\n", "IPython 3.1.0\n", "OS Darwin 14.3.0 x86_64 i386 64bit\n", "numpy 1.9.2\n", "scipy 0.15.1\n", "matplotlib 1.4.3\n", "deltasigma 0.2.0\n", "Tue Jun 09 19:24:05 2015 CEST" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#%install_ext http://raw.github.com/jrjohansson/version_information/master/version_information.py\n", "%load_ext version_information\n", "%reload_ext version_information\n", "\n", "%version_information numpy, scipy, matplotlib, deltasigma" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.10" } }, "nbformat": 4, "nbformat_minor": 0 }