{ "metadata": { "name": "", "signature": "sha256:6a61d1704ec0dee9a9db534f261aa8c6d6ce847193508a4aee3bd9d444c6da93" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "code", "collapsed": false, "input": [ "%pylab inline\n", "rcParams['figure.figsize'] = (10, 4) #wide graphs by default\n", "from __future__ import print_function\n", "from __future__ import division" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Convolution:\n", "\n", "$$(f * g )(\\tau) \\stackrel{\\mathrm{def}}{=}\\ \\int_{-\\infty}^\\infty f(t)\\, g(\\tau - t)\\, d\\tau$$\n", "\n", "Doesn't this look a lot like cross-correlation?\n", "\n", "$$(f \\star g)(t)\\ \\stackrel{\\mathrm{def}}{=} \\int_{-\\infty}^{\\infty} f^*(\\tau)\\ g(t+\\tau)\\,d\\tau$$\n", "\n", "Discrete Convolution:\n", "\n", "$$(f * g)[n]\\ \\stackrel{\\mathrm{def}}{=}\\ \\sum_{m=-\\infty}^\\infty f[m]\\, g[n - m]$$\n", "\n", "Circular discrete convolution:\n", "\n", "$$(f * g_N)[n] = \\sum_{m=0}^{N-1} f[m]\\ g_N[n-m]$$\n", "\n", "https://en.wikipedia.org/wiki/Convolution" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "![http://upload.wikimedia.org/wikipedia/commons/6/6a/Convolution_of_box_signal_with_itself2.gif](http://upload.wikimedia.org/wikipedia/commons/6/6a/Convolution_of_box_signal_with_itself2.gif)\n", "\n", "![http://upload.wikimedia.org/wikipedia/commons/b/b9/Convolution_of_spiky_function_with_box2.gif](http://upload.wikimedia.org/wikipedia/commons/b/b9/Convolution_of_spiky_function_with_box2.gif)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Discrete Convolution can be understood as placing a copy of the Impulse Response (one of the source signals) at every sample of the other, scaled by it. IOW treat each sample as an impulse that \"activates\" the response." ] }, { "cell_type": "code", "collapsed": false, "input": [ "impulse = r_[1,zeros(15)]\n", "stem(arange(16),impulse)\n", "xlim((-0.5, 16))\n", "ylim((-1.1, 1.1))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 2, "text": [ "(-1.1, 1.1)" ] }, { "metadata": {}, "output_type": "display_data", "png": 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3zp/fmOQHtjTUhDYaj+4+0t2PzCd/J8k5Wx5sIsf5/UiS/5LkJ7c4zqSOMxY/luRN896R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\nRpwAAAAASUVORK5CYII=\n", "text": [ "" ] } ], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now make an impulse response:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "ir = 2*(random.random(3) -0.5)\n", "\n", "stem(arange(3),ir)\n", "\n", "xlim((-0.5, 2.5))\n", "ylim((-1.1, 1.1))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 9, "text": [ "(-1.1, 1.1)" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Convolving an impulse with the response:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "stem(arange(18),convolve(impulse, ir))\n", "xlim(-1,18)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 10, "text": [ "(-1, 18)" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "When we convolve an impulse, the response is copied at the time and amplitude of it:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "impulse2 = r_[zeros(5), -1, zeros(10)]\n", "stem(arange(16),impulse2)\n", "xlim((-0.5, 16))\n", "ylim((-1.1, 1.1))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 11, "text": [ "(-1.1, 1.1)" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 11 }, { "cell_type": "code", "collapsed": false, "input": [ "stem(arange(18),convolve(impulse2, ir));" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 12 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Because the process is linear and the superposition principle applies (we can superimpose the result instead of superimposing the input with the same result):" ] }, { "cell_type": "code", "collapsed": false, "input": [ "subplot(121)\n", "added_after = convolve(impulse, ir) + convolve(impulse2, ir)\n", "stem(arange(18),added_after)\n", "\n", "added_before = convolve(impulse + impulse2, ir)\n", "subplot(122)\n", "stem(arange(18),added_before);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 13 }, { "cell_type": "code", "collapsed": false, "input": [ "f = [1,2,3,0,0,0]\n", "g = [-0.5, 0.5, 0.1]\n", "\n", "subplot(121)\n", "stem(arange(6),f)\n", "xlim((-0.5, 4.5))\n", "subplot(122)\n", "stem(arange(3),g)\n", "xlim((-0.5, 4.5))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 14, "text": [ "(-0.5, 4.5)" ] }, { "metadata": {}, "output_type": "display_data", "png": 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hSZIkqQHDkyRJUgOGJ0mSpAYMT5IkSQ0YniRJkhowPEmSJDVgeJIkSWrA8CRJktSA4UmS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\n", "text": [ "" ] } ], "prompt_number": 14 }, { "cell_type": "code", "collapsed": false, "input": [ "markerline, stemlines, baseline = stem(arange(5),convolve(array([1,0,0]),g))\n", "\n", "markerline, stemlines, baseline = stem(arange(5),convolve(array([0,2,0]),g), 'g', 'og')\n", "\n", "markerline, stemlines, baseline = stem(arange(5),convolve(array([0,0 ,3]),g), 'r', 'or')\n", "markerline.set_color('r')\n", "grid()\n", "\n", "xlim((-0.5, 4.5))\n", "ylim((-2, 2))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 15, "text": [ "(-2, 2)" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 15 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now doing it manually without the convolution function:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "f = array([0.3, 0.2, -0.5, 0, -0.1, 0.1, 0.25 ])\n", "stem(f)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 16, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 16 }, { "cell_type": "code", "collapsed": false, "input": [ "g = array([0.1, 0.2, -0.1])\n", "stem(g)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 17, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 17 }, { "cell_type": "code", "collapsed": false, "input": [ "fg0 = f[0] * g\n", "subplot(211)\n", "stem(fg0)\n", "subplot(212)\n", "stem(g)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 18, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 18 }, { "cell_type": "code", "collapsed": false, "input": [ "fg1 = f[1] * g\n", "stem(fg1)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 19, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 19 }, { "cell_type": "markdown", "metadata": {}, "source": [ "But we need to shift it in time to place it at the position of f[1]" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fg1 = r_[0, fg1]\n", "stem(fg1)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 20, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 20 }, { "cell_type": "code", "collapsed": false, "input": [ "fg2 = f[2] * g\n", "fg2 = r_[0, 0, fg2]\n", "stem(fg2)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 21, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 21 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we need to add them" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def hide_axes(ax):\n", " ax.spines[\"top\"].set_visible(False) \n", " ax.spines[\"right\"].set_visible(False) \n", " ax.spines[\"bottom\"].set_visible(False) \n", " ax.spines[\"left\"].set_visible(False)\n", " tick_params(axis=\"both\", which=\"both\", bottom=\"off\", top=\"off\", \n", " labelbottom=\"off\", left=\"off\", right=\"off\", labelleft=\"on\")\n", " " ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 22 }, { "cell_type": "code", "collapsed": false, "input": [ "\n", "subplot(511)\n", "stem(fg0)\n", "xlim(0,6)\n", "ylim(-0.1, 0.1)\n", "hide_axes(gca())\n", "\n", "subplot(512)\n", "stem(fg1)\n", "xlim(0,6)\n", "ylim(-0.1, 0.1)\n", "hide_axes(gca())\n", "\n", "\n", "subplot(513)\n", "stem(fg2)\n", "xlim(0,6)\n", "ylim(-0.1, 0.1)\n", "hide_axes(gca())\n", "\n", "\n", "subplot(514)\n", "stem(f)\n", "\n", "xlim(0,6)\n", "\n", "\n", "subplot(515)\n", "stem(g[::-1])\n", "\n", "xlim(0,6)\n", "\n", "\n", "gcf().set_figheight(8)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 23 }, { "cell_type": "code", "collapsed": false, "input": [ "def apply_ir(f , n, g):\n", " fg = f[n] * g\n", " fg = r_[zeros(n), fg, zeros(len(g) + len(f) - len(fg) - n - 1 )]\n", " return fg" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 24 }, { "cell_type": "code", "collapsed": false, "input": [ "fg = apply_ir(f, 6, g)\n", "stem(fg)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 25, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 25 }, { "cell_type": "code", "collapsed": false, "input": [ "convolved = zeros(9)\n", "for i in range(len(f)):\n", " convolved += apply_ir(f, i, g)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 26 }, { "cell_type": "code", "collapsed": false, "input": [ "stem(convolved)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 27, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 27 }, { "cell_type": "code", "collapsed": false, "input": [ "stem(convolve(f,g))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 28, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 28 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Same result!" ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Filtering and Convolution" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Convolution can be used the mechanism to realize FIR filters." ] }, { "cell_type": "code", "collapsed": false, "input": [ "f = random.random(4096) - 0.5\n", "specgram(f);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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pW8/OOStz0M3O5LBU5LPRe007KDAWSr8VMMgUkFhHxJl+M2q43tEzR8RpQjcl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yHydfeT7XshyeFjd4sWSkISMMjO4wq/WKar03wR0tBRQOKFNAuZDANymXgs8C8uPM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"text": [ "" ] } ], "prompt_number": 29 }, { "cell_type": "code", "collapsed": false, "input": [ "g = ones(30)/30.0" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 38 }, { "cell_type": "code", "collapsed": false, "input": [ "plot(f)\n", "figure()\n", "stem(g)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 39, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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s6cbPPktfeZ0H39WUocqbiRihMYDE79I3fIFrX+hTzrQZglYm5jRljL761VfF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\ntVkd8WefielAV1RrkG3VVp5OnzGxzZR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"text": [ "" ] } ], "prompt_number": 39 }, { "cell_type": "code", "collapsed": false, "input": [ "fg = convolve(f, g)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 44 }, { "cell_type": "code", "collapsed": false, "input": [ "Pxx, freqs, bins, im = specgram(fg);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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PdClNBzchx5XdcgyDo3mmVjbwDkKhCdwAHa8Pr3kPPNpg1ERue4VGMtVf8T2A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\n2tmFodN4pNIVMRRhgjiWqVgHtFXEGZ0qmzV4NwPfsm72IHi2ztb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"text": [ "" ] } ], "prompt_number": 34 }, { "cell_type": "code", "collapsed": false, "input": [ "from scipy.signal import freqz\n", "w, h = freqz(g)\n", "plot(w, abs(h))\n", "twinx()\n", "plot(w, angle(h), 'r')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 46, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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7MrWi8KH1QrFB9ayzeBWyfr35GILrUMx42ZcTiB068KBp0o8x7qDqS9NPndYq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\n59kJYOfO9O8bl717Wezt3Wv+vQRBEARBNzVSgC1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"text": [ "" ] } ], "prompt_number": 46 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Convolution in the time domain is multiplication in the frequency domain!" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plot(abs(fft.rfft(g)), 'o-')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 47, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 47 }, { "cell_type": "code", "collapsed": false, "input": [ "plot(abs(fft.rfft(g, n=512)))\n", "twinx()\n", "plot(angle(fft.rfft(g, n=512)), 'r')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 48, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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EbNiQMx/z55uJ7UcE9OvHqXudFqAX3+8FOUSJlqyx820NljcGHZnAKFZY1FqB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\nLwiCIOQ0BSPAOnQAtpzjuB9ho0bAsGF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"text": [ "" ] } ], "prompt_number": 48 }, { "cell_type": "code", "collapsed": false, "input": [ "window = f[:256]\n", "plot(abs(rfft(window)))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 49, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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5Z+rii8nl/vnP4483iIlc5kuamUpa5psyhY4jKc2EcBxnqrkZOPts+1KfWhi8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\nIabyWObTnTRra92/92c+A3z966UOvdVa5nPtTOn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"text": [ "" ] } ], "prompt_number": 49 }, { "cell_type": "code", "collapsed": false, "input": [ "plot(abs(rfft(window)*rfft(g, n=256)))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 50, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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N/Spq3jy1qQ8mTpzo+HgoZHMJ+R2UpGPq1KoD029/m7juIBPx+s4L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\nnwAAAABJRU5ErkJggg==\n", "text": [ "" ] } ], "prompt_number": 50 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Convolution can be used for filtering but also with long IRs for reverb." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "By: Andr\u00e9s Cabrera mantaraya36@gmail.com\n", "For MAT course MAT 201A at UCSB\n", "\n", "This ipython notebook is licensed under the CC-BY-NC-SA license: http://creativecommons.org/licenses/by-nc-sa/4.0/\n", "\n", "![http://i.creativecommons.org/l/by-nc-sa/3.0/88x31.png](http://i.creativecommons.org/l/by-nc-sa/3.0/88x31.png)" ] } ], "metadata": {} } ] }