{ "metadata": { "name": "", "signature": "sha256:e53706ebd69ecf9ab761fc2aead12e768c8cd0d4b0ae8c80d681c6e045125b00" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "EE120 Fall 2014 PS 4, synthesizing periodic signal: vowels" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To output python notebook, use \"ipython nbconvert file.ipynb\" from command prompt. This will generate an .html file which you can open in a browser and then print. Printing directly from the iPython notebook gives only a single page. You may need to install pandoc first." ] }, { "cell_type": "code", "collapsed": false, "input": [ "print 4+5 # check to see if iPython is running..." ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "9\n" ] } ], "prompt_number": 23 }, { "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" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "WARNING: pylab import has clobbered these variables: ['sum']\n", "`%matplotlib` prevents importing * from pylab and numpy\n" ] } ], "prompt_number": 24 }, { "cell_type": "code", "collapsed": false, "input": [ "import numpy as np\n", "import scipy as sp\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 25 }, { "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": 26 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Before running the cell below, capture two short audio files of the vowels \"eeee\" and \"oooo\".\n", "Audacity works nicely with File -> Export Selection to WAV signed 16 bit PCM." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# import file\n", "from scipy.io import wavfile\n", "rate1,data1= wavfile.read('vowel-e.wav') # 16 bit data if from Audacity\n", "rate1,data2= wavfile.read('vowel-o.wav') # 16 bit data if from Audacity\n", "print 'rate1 =', rate1\n", "print 'data1 =', data1\n", "lengthE = np.size(data1)/2\n", "print 'length E = ', lengthE\n", "t1 = np.linspace(0, float(lengthE)/float(rate1), lengthE)\n", "#\n", "print 'data2 =', data2\n", "lengthO = np.size(data2)/2\n", "print 'length O = ', lengthO" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "rate1 = 44100\n", "data1 = [[-9454 -9455]\n", " [-9181 -9182]\n", " [-8998 -8997]\n", " ..., \n", " [ 8798 8792]\n", " [ 8122 8119]\n", " [ 7492 7489]]\n", "length E = 21504\n", "data2 = [[2412 2411]\n", " [2012 2005]\n", " [1610 1602]\n", " ..., \n", " [9315 9326]\n", " [9087 9096]\n", " [8860 8866]]\n", "length O = 22528\n" ] } ], "prompt_number": 27 }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the cell below, select the period (number of samples) for the 2 vowels. This can be determined approximately by inspection of the waveform." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# plot data\n", "# t1 = np.linspace(0, float(length)/float(rate1), length)\\\n", "length = max(lengthE, lengthO)\n", "vowelE = np.zeros(length)\n", "vowelO = np.zeros(length)\n", "for i in range(0,length):\n", " if i < lengthE:\n", " vowelE[i] = data1[i][0] # copy left channel\n", " \n", " if i < lengthO:\n", " vowelO[i] = data2[i][1] # copy left channel\n", "# Choose N \n", "Ne = 375 # estimated period of vowel O TO BE DETERMINED\n", "No = 420 # estimated period of vowel O TO BE DETERMINED\n", "_ = plt.plot(range(0,2*Ne), vowelE[0:2*Ne])\n", "_ = plt.plot(range(0,2*No), vowelO[0:2*No])" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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rgVc0XHfQOMecOEYc01eTQ0MwMRH8cSIVB9nWuo1Lyy+dta0wpXBeHMTlArNZ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\nY8fCz38+tK09rcLTAklOHliBnDkj2UbvGi3KWlrc98mkcHo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"text": [ "" ] } ], "prompt_number": 28 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Select appropriate k for reasonable approximation." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# calculate Fourier Series\n", "coeffE = np.exp(1j* np.zeros(16)) # a_k. Since real signal, can use conjugate symmetry for a_{-k}\n", "omega = 2.0 * np.pi/Ne\n", "sum = complex(0,0) # initialize to complex\n", "for k in range(0,1): # pick number of Fourier Series coefficients\n", " sum = 0.0+ 0j\n", " for n in range(0,Ne):\n", " sum = sum + vowelE[n] * np.exp(-1j * omega * n * k) \n", " coeffE[k] = sum/Ne\n", "print 'coefficients:', np.real(coeffE), np.imag(coeffE) \n", "setup_graph(title='$E$', x_label='$k$', y_label='real $a_k$', fig_size=(6,3))\n", "_ = plt.stem(range(0,16), np.real(coeffE))\n", "setup_graph(title='$E$', x_label='$k$', y_label='imag $a_k$', fig_size=(6,3))\n", "_ = plt.stem(range(0,16), np.imag(coeffE))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "coefficients: [-281.704 1. 1. 1. 1. 1. 1. 1. 1.\n", " 1. 1. 1. 1. 1. 1. 1. ] [ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.]\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 35 }, { "cell_type": "code", "collapsed": false, "input": [ "# synthesize vowel using a_k coefficients\n", "xe = np.zeros((Ne,2))#just repeat one period\n", "xe_imag = np.zeros((Ne,2))#just repeat one period\n", "for n in range(0,Ne):\n", " sum = 0+0j\n", " for k in range(0,2): # pick number of Fourier Series coefficients\n", " sum = sum + coeffE[k]*np.exp(1j * omega *n*k) + \\\n", " np.conjugate(coeffE[k]) * np.exp(-1j * omega * n * k) \n", " xe[n,0]=np.real(sum) # left channel\n", " xe[n,1]=np.real(sum) # right channel\n", " xe_imag[n,0] = np.imag(sum)\n", "setup_graph(title='$E$', x_label='$n$', y_label='x[n]', fig_size=(6,3))\n", "_ = plt.plot(range(0,Ne), xe)\n", "_ = plt.plot(range(0,Ne), xe_imag) # plot to verify zero" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 34 }, { "cell_type": "code", "collapsed": false, "input": [ "# convert single period to full length\n", "synthE = np.zeros((lengthE,2)) # initialize to zero\n", "for i in range(0,lengthE):\n", " synthE[i] = xe[np.mod(i,Ne)]\n", "_ = plt.plot(t1, synthE)\n", "print 'synthE', synthE[0:8]\n", "# now write data file\n", "wavfile.write('synthE.wav', rate1, synthE.astype(int16)) # 16 bit integer\n", "setup_graph(title='$x[n]$', x_label='$n$', y_label='$ real x[n]$', fig_size=(6,3))\n", "_ = plt.plot(t1[1000:1500],synthE[1000:1500])" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "synthE [[-2070.78864907 -2070.78864907]\n", " [-2120.02556399 -2120.02556399]\n", " [-2168.82549146 -2168.82549146]\n", " [-2217.17473193 -2217.17473193]\n", " [-2265.05971237 -2265.05971237]\n", " [-2312.46699009 -2312.46699009]\n", " [-2359.38325649 -2359.38325649]\n", " [-2405.79534084 -2405.79534084]]\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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vB10BMzPGNhxqVjFMD9F9VB1luq5tCPtH7W03xTjMwW5tjLPtYbQ2MDPjfY02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\nQHwugDcAOADwJAD3Ycpk3QvgS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"text": [ "" ] } ], "prompt_number": 36 }, { "cell_type": "code", "collapsed": false, "input": [ "# check tthat can read .wav file that was written\n", "rate1,data3= wavfile.read('synthE.wav') # 16 bit data if from Audacity\n", "print 'rate1 =', rate1\n", "print 'data3 =', data3\n", "lengthE = np.size(data1)/2\n", "print 'length E = ', lengthE\n", "_ = plt.plot(range(0,lengthE), data3)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "rate1 = 44100\n", "data3 = [[-2070 -2070]\n", " [-2120 -2120]\n", " [-2168 -2168]\n", " ..., \n", " [-2318 -2318]\n", " [-2271 -2271]\n", " [-2223 -2223]]\n", "length E = 21504\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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dva82xvnPM9hIfItdSCoOY5+3Nm7GlXa5/HzhhT8XS/6QtSa+mO9I4ovYDeTn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\nkR3YlN4R5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