{ "metadata": { "name": "", "signature": "sha256:02f1bcfe132cfc8f06714e5238247ed678f443bd3f32f3dd921070a01a55447c" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "EE120 Fall 2014 Problem Set 10, Problem 5. version 1.00" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%pylab" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Using matplotlib backend: Qt4Agg\n", "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "prompt_number": 1 }, { "cell_type": "code", "collapsed": true, "input": [ "import numpy as np\n", "import scipy as sp\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "np.set_printoptions(precision = 1, suppress = True, linewidth = 132)\n", "print 'done import'" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "done import\n" ] } ], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "# Graphing helper function\n", "def setup_graph(title='', x_label='', y_label='', fig_size=None):\n", " fig = plt.figure()\n", " if fig_size != None:\n", " fig.set_size_inches(fig_size[0], fig_size[1])\n", " ax = fig.add_subplot(111)\n", " ax.set_title(title)\n", " ax.set_xlabel(x_label)\n", " ax.set_ylabel(y_label)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Import audio file." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# verify that .wav file can be read and written correctly, number of bits, fixed vs floating, mono/stereo, etc\n", "from scipy.io import wavfile\n", "rate1,data1= wavfile.read('sig1-filt.wav') # read stereo data\n", "length = np.size(data1)/2 #length for each channel\n", "print 'rate1, length = ', rate1, length\n", "left = np.zeros(length,int16) # allocate arrays\n", "right = np.zeros(length,int16)\n", "t1 = np.linspace(0, float(length)/float(rate1), length)\n", "\n", "# copy into individual channels for processing\n", "for i in range(0,length):\n", " left[i] = data1[i][0] # copy left channel\n", " right[i] = data1[i][1] # copy right channel\n", " \n", "setup_graph(title='Signal from channel', x_label='seconds', y_label='$x[n]$', fig_size=(9,3))\n", "_ = plt.plot(t1, left)\n", "\n", "\n", "data2 =np.zeros((length,2), int16)\n", "for i in range(0,length):\n", " data2[i][0] = left[i]\n", " data2[i][1] = right[i]\n", "print 'data2 shape', data2.shape\n", "# now write data file for verification\n", "wavfile.write('temp.wav', rate1, data2)\n", "# check that file is correctly written\n", "rate2,data2= wavfile.read('temp.wav') # stereo data\n", "print 'rate2 =', rate2\n", "# print 'data2 =', data2[0:8]\n", "setup_graph(title='Signal from channel -detail', x_label='seconds', y_label='$x[n]$', fig_size=(9,3))\n", "_ = plt.plot(t1[80000:84000],data2[80000:84000].real)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "rate1, length = 44100 297224\n", "data2 shape" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " (297224L, 2L)\n", "rate2 = 44100\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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HHeZt69AhkVi+PH1f/7n0KM2jadPw+3bqVPn8VtPjwANLd+5EIpFo1szWd9kl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\ntVNJkUjMtWwJ3bsnpx1/fMPtyv3ll4X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GzmOkmx6LnWheSgRPyvz020vD2dVyHdFUe4umk2PzKBLda/JhHAYLsVz7H5ty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"text": [ "" ] } ], "prompt_number": 4 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Problem 5d. Apply $H_c(z)$ to channel." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# set up 16 bit vectors to hold output \n", "yleft = np.zeros(length, int16) #output\n", "yright= np.zeros(length, int16)\n", "\n", "y2,y1,y0 = 0.0,0.0,1.0 # initial condition\n", "x2,x1,x0 = 0.,0.,0.\n", "\n", "##### code for calculating calculating LDE on left[] and right[] (same for both)\n", "\n", "##### plot resulting output before and after\n", "setup_graph(title='Signal from channel -detail', x_label='seconds', y_label='$x[n]$', fig_size=(9,3))\n", "_ = plt.plot(t1[80000:84000],left[80000:84000])\n", "# plot recovered signal:\n", "setup_graph(title='recovered signal', x_label='seconds', y_label='$c[n]$', fig_size=(9,3))\n", "_ = plt.plot(t1[80000:84000],yleft[80000:84000])\n" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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hbHjO6/zw1FPwZ3+WXCGfVlQ0KYmkGJcJkus0ueddK5R8c2+FwVy1BnVATky4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\nNKnTpPihokkJZMkSCdENGZL+uecmTpT8hGefrTz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