{ "metadata": { "name": "", "signature": "sha256:22533be32511cc693e91afd29ca744f7258133a2d8e082c4dee237f81211651c" }, "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": [] }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Audio Filters" ] }, { "cell_type": "code", "collapsed": false, "input": [ "sig = random.random(2048)*2 -1" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "Pxx, freqs, times, im = specgram(sig, interpolation='nearest');\n", "colorbar()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 5, "text": [ "" ] }, { "metadata": {}, 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JfUCnvfTO/uJS5GPumqgVAv974nCpb+YrUh0AfbvqnepunUtHan0AnXcVCxN0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\ngksQBEEQrD/oE0lLpzWWzE4Fqsxse+B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AuwA8m8sGFUpwlVTm6sEHgWuv1YxDsVmzRq+gunePLouwfLkudXLvvbk9z+OP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\nnbTRYpUGp09vvO2llzQI+/3vgz+/U1N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"text": [ "" ] } ], "prompt_number": 8 }, { "cell_type": "code", "collapsed": false, "input": [ "filtered = (sig + r_[0,sig[:-1]])\n", "Pxx2, freqs, times, im = specgram(filtered);\n", "colorbar()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 9, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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wPEOQ2Ulj8KYdhqu3GceiSKrlRZVDivL0IxuZWLYhGxmyMpwUR5XJg6e8Mjmv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stGHut4XvoUUQS1v4vFraGt4ZX/uSe1R7JXOj3SrpY/wcz/MQAQ0VcCeD+Afx/A/wfgdzDzPyKi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\nAc0Jo7kRvRtN8o6UdQXQHqMv0ShvqY54CcToUIOBD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"text": [ "" ] } ], "prompt_number": 9 }, { "cell_type": "code", "collapsed": false, "input": [ "plot(Pxx2[:,10])" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 10, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 10 }, { "cell_type": "code", "collapsed": false, "input": [ "plot(Pxx[:,10])\n", "plot(Pxx2[:,10])" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 11, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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pDfhvn/9aLW9bvy0OX3AumDKajTCYDQj0C8SBA2pKBH9/++uGhqqgMS3tyu/V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\nfujf33b54MEi8+eXft927UT++qv0dVx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"text": [ "" ] } ], "prompt_number": 11 }, { "cell_type": "code", "collapsed": false, "input": [ "plot(Pxx[:,10])\n", "plot(Pxx2[:,10]/4.0)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 14, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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j5YwxNvrxuQBYuGAl6x8W/UkmdQU6Tk2dcKVnBSG3mwsMgNoJvz8DgyKEEBJWYM8VVa5I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\n+S6TV9BheEOqVKo3bjs2KZHWwyvzy8CNOdL/My6IfpN+eOP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"text": [ "" ] } ], "prompt_number": 14 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Difference equation:\n", "\n", "$$y(n) = b_0x(n) + b_1x(n-1) + ... + b_Mx(n-M)$$\n", "\n", "for this simple filter:\n", "\n", "$$y(n) = x(n) + x(n-1)$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can estimate the effect of frequency from the difference equation!" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from scipy.signal import freqz\n", "frq, resp = freqz([1,1])\n", "semilogy(frq, abs(resp))\n", "title('Frequency Response')\n", "grid()\n" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 15 }, { "cell_type": "code", "collapsed": false, "input": [ "plot(frq, angle(resp))\n", "title('Phase Response')\n", "grid()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 16 }, { "cell_type": "code", "collapsed": false, "input": [ "filtered2 = (sig + 0.5*r_[0,sig[:-1]])\n", "Pxx3, freqs, times, im = specgram(filtered2);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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UwetuQzvPS3yZdCdh4/skOUzoS113KM7kdTByPEKvM8HUxRizHU6645IcDts4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"text": [ "" ] } ], "prompt_number": 17 }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$y(n) = x(n) + 0.5 \\cdot x(n-1)$$" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plot(Pxx3[:,10])" ], "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": [ "plot(Pxx[:,10])\n", "plot(Pxx2[:,10]/4.0)\n", "plot(Pxx3[:,10]/(1.5**2))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 19, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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lNVwZjoqE9zUtW0TdSATDMPI4oumxhwLYqpIs+TuG1+4k4j5DSgJnoJERPa02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\nT/1c0WjiX75AAIa3beXB3U2sf378HIK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PmhqMV7l6+WX9/zuT3rlYD1qsRSLVGlcxxVy5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\n", "text": [ "" ] } ], "prompt_number": 19 }, { "cell_type": "code", "collapsed": false, "input": [ "from scipy.signal import freqz\n", "frq, resp = freqz([1,1])\n", "semilogy(frq, abs(resp))\n", "\n", "frq, resp = freqz([1,0.5])\n", "semilogy(frq, abs(resp))\n", "title('Frequency Response')\n", "grid()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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JiIjMMp/9LNx2G9x7L9TWxt2aZNG9FEVERCQvzsG73w2trXDLLVCmCUZ5K8mF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\n", "text": [ "" ] } ], "prompt_number": 20 }, { "cell_type": "code", "collapsed": false, "input": [ "frq, resp = freqz([1,1])\n", "semilogy(frq, abs(resp))\n", "\n", "frq, resp = freqz([1,2])\n", "semilogy(frq, abs(resp))\n", "\n", "\n", "frq, resp = freqz([1,0.5])\n", "semilogy(frq, abs(resp))\n", "title('Frequency Response')\n", "grid()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 21 }, { "cell_type": "code", "collapsed": false, "input": [ "frq, resp = freqz([1,-1])\n", "semilogy(frq, abs(resp))\n", "title('Frequency Response')\n", "grid()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 22 }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Transfer function\n", "\n", "$$ Y(z) = H(z) \\cdot X(z) $$\n", "\n", "$$ H(z) = \\frac{Y(z)}{X(z)} $$\n", "\n", "\n", "# z-transform\n", "\n", "$$\\mathcal{Z}[x(n-M)] = z^{-M}X(z)$$\n", "\n", "z-transform on the difference equation:\n", "\n", "$$Y(z) = b_0z^{0}X(z) + b_1z^{-1}X(z) + ... + b_Mz^{-M}X(z) - a_1z^{-1}Y(z) - a_2z^{-2}Y(z) - ... - a_Mz^{-M}Y(z)$$\n", "\n", "$$ [1 + a_1z^{-1} + a_2z^{-2} - ... + a_Mz^{-M}] \\cdot Y(z) = [b_0z^{0} + b_1z^{-1} + ... + b_Mz^{-M}]\\cdot X(z) $$\n", "\n", "$$H(z) = \\frac{Y(z)}{X(z)} = \\frac{b_0z^{0} + b_1z^{-1} + ... + b_Mz^{-M}}{ 1 + a_1z^{-1} - a_2z^{-2} - ... - a_Mz^{-M}}$$\n" ] }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "One-pole filters" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$y(n) = b_0x(n) - a_1y(n-1)$$" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from scipy.signal import lfilter\n", "filtered4 = lfilter([1],[1, 1], sig)\n", "specgram(filtered4);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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6K0OS3tK3hl+/0cAfqNX1a1qbeXJh4vFQWw81NZ01JC28TvOKsQXUWRmJ6yxO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WALYswSi5FArYEaAbQFi1PoV0MwXcMLPNGrsh3gRONH0JXH3qVnpwVJVV5N3AlyNmShmSb42l53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\n+o12SpPzuTb28KQyrvUma53yUMakecg7KncIrrRRPj3V5if75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/qukCbPXk47q2WVxRNy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\nEB3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"text": [ "" ] } ], "prompt_number": 31 }, { "cell_type": "code", "collapsed": false, "input": [ "frq, Y = freqz([1], [1,1])\n", "semilogy(frq, abs(Y))\n" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 32, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 34 }, { "cell_type": "code", "collapsed": false, "input": [ "frq, Y = freqz([1], [1,-0.5])\n", "plot(frq, angle(Y))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 35, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 35 }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$H(z) = \\frac{b_0z^{0} + b_1z^{-1} + \\cdots + b_Mz^{-M}}{ a_0z^{0} + a_1z^{-1} + a_2z^{-2} + \\cdots + a_Mz^{-M}}$$\n", "\n", " * FIR filters are always stable\n", " * IIR filters can produce steeper filters with smaller orders" ] }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Pole-zero analysis" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from scipy.signal import tf2zpk\n", "\n", "tf2zpk([1,1],[1])" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 36, "text": [ "(array([-1.]), array([], dtype=float64), 1.0)" ] } ], "prompt_number": 36 }, { "cell_type": "code", "collapsed": false, "input": [ "tf2zpk([1],[1, 1])" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 37, "text": [ "(array([], dtype=float64), array([-1.]), 1.0)" ] } ], "prompt_number": 37 }, { "cell_type": "code", "collapsed": false, "input": [ "tf2zpk([2, 2],[1])" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 38, "text": [ "(array([-1.]), array([], dtype=float64), 2.0)" ] } ], "prompt_number": 38 }, { "cell_type": "code", "collapsed": false, "input": [ "def PoleZeroPlot(b, a):\n", " (zeros,poles,gain) = tf2zpk(b, a)\n", " angle = np.linspace(-np.pi,np.pi,50)\n", " cirx = np.sin(angle)\n", " ciry = np.cos(angle)\n", " figure()\n", " plot(poles.real, poles.imag, 'x', zeros.real, zeros.imag, 'o', cirx,ciry, 'k-')\n", " grid()\n", " \n", " xlim((-2, 2))\n", " xlabel('Real')\n", " ylim((-1.5, 1.5))\n", " ylabel('Imag')\n", " gcf().set_figwidth(5)\n", " return (zeros,poles,gain)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 39 }, { "cell_type": "code", "collapsed": false, "input": [ "PoleZeroPlot([1,1],[1])" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 40, "text": [ "(array([-1.]), array([], dtype=float64), 1.0)" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 42 }, { "cell_type": "markdown", "metadata": {}, "source": [ "When a pole is outside the unit circle in the z-plane the filter is unstable!" ] }, { "cell_type": "code", "collapsed": false, "input": [ "PoleZeroPlot([1],[1.1,1.1])" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 43, "text": [ "(array([], dtype=float64), array([-1.]), 0.90909090909090906)" ] }, { "metadata": {}, "output_type": "display_data", "png": 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Bhx9+SJMmTVzHSVjWY/WEL/2haOQQESZMmMD27dt57LHHnGaJlkTIsnbtWm69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\nTjMPdcftAAAAAABJRU5ErkJggg==\n", "text": [ "" ] } ], "prompt_number": 43 }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Comb filters" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$y(n) = b_0x(n) + b_m\\cdot x(n-m)$$" ] }, { "cell_type": "code", "collapsed": false, "input": [ "b = [1,0,0,0,0,0,0,1]\n", "a = [1]\n", "frq, resp = freqz(b,a)\n", "plot(frq, abs(resp))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 46, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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HhVpZmXRaD9L3fOCAzKDs2cMlHTdFOt7v3i3bzoPg/HnpR1RSwiUdNwXxe9Ya6NNH2nbk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\nSpUrpX7YwJ/nK6WOK6XW1f7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"text": [ "" ] } ], "prompt_number": 46 }, { "cell_type": "code", "collapsed": false, "input": [ "b = [1,0,0,0,0,0,1]\n", "a = [1]\n", "frq, resp = freqz(b,a)\n", "plot(frq, abs(resp))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 47, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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H/v1SyL1jB1CnjulozPjlL+UDzx//aDoSOt+OHUCvXjJhULWq6Wj8je0WynHokNRabd/O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\nEysiIiIii/w/ONUk5U5ar0sAAAAASUVORK5CYII=\n", "text": [ "" ] } ], "prompt_number": 47 }, { "cell_type": "code", "collapsed": false, "input": [ "b = [1,0,0,0,0,0,0,0,0,0,0,1]\n", "a = [1]\n", "frq, resp = freqz(b,a)\n", "semilogy(frq, abs(resp))\n", "\n", "twinx()\n", "\n", "plot(frq, angle(resp), 'r')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 48, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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Wzwq7REDDRLd4MWv4Pv20543ERNYpGz48JnIwXbrwrsQpU8L8ooaFyapVrCs7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\nJW/YkRQgI3BWIVxldVmXpZ1wldWlk6ydpk2Bm29myRw1yN2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"text": [ "" ] } ], "prompt_number": 48 }, { "cell_type": "code", "collapsed": false, "input": [ "b = [1,0,0,0,0,0,0,-1]\n", "a = [1]\n", "frq, resp = freqz(b,a)\n", "plot(frq, abs(resp))\n", "\n", "b = [1,0,0,0,0,0,0,1]\n", "a = [1]\n", "frq, resp = freqz(b,a)\n", "plot(frq, abs(resp))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 49, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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XXxiQ54npT+CrvK/Qox/+qeXo0Ts36NSItTX1qGwf2ZkFX577UpVhQJ4NQRtw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\n", "text": [ "" ] } ], "prompt_number": 49 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "IIR Comb-fiters" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$y(n) = b_0x(n) + b_m\\cdot x(n-m) - a_m\\cdot y(n-m)$$" ] }, { "cell_type": "code", "collapsed": false, "input": [ "b = [1,0,0,0,0,0,0,-1]\n", "a = [1,0,0,0,0,0,0,1]\n", "frq, resp = freqz(b,a)\n", "semilogy(frq, abs(resp));" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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ksf8HbslGwSoeVFAAAAAASUVORK5CYII=\n", "text": [ "" ] } ], "prompt_number": 50 }, { "cell_type": "code", "collapsed": false, "input": [ "b = [1]\n", "a = [1,0,0,0,0,0,0,1]\n", "frq, resp = freqz(b,a, worN=8192)\n", "semilogy(frq, abs(resp));" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 51 }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Two-zero filters" ] }, { "cell_type": "code", "collapsed": false, "input": [ "b = [1, 1, 1]\n", "a = [1]\n", "frq, resp = freqz(b,a)\n", "semilogy(frq, abs(resp))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 52, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 52 }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$\\frac{b_1}{b_0} = -2R\\cos(\\Theta_c)$$\n", "$$\\frac{b_2}{b_0} = R^2$$" ] }, { "cell_type": "code", "collapsed": false, "input": [ "R = 0.8\n", "theta_c = 1.0\n", "b = [1, -2*R*cos(theta_c), R**2]\n", "a = [1]\n", "\n", "frq, resp = freqz(b,a)\n", "semilogy(frq, abs(resp))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 54, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 54 }, { "cell_type": "code", "collapsed": false, "input": [ "R = 1\n", "theta_c = 2.0\n", "b = [1, -2*R*cos(theta_c), R**2]\n", "a = [1]\n", "\n", "frq, resp = freqz(b,a)\n", "plot(frq, abs(resp))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 55, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 55 }, { "cell_type": "code", "collapsed": false, "input": [ "R = 1\n", "theta_c = 1.5\n", "b = [1, -2*R*cos(theta_c), R**2]\n", "a = [1]\n", "\n", "frq, resp = freqz(b,a)\n", "plot(frq, abs(resp))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 56, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 56 }, { "cell_type": "code", "collapsed": false, "input": [ "PoleZeroPlot(b,a)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 57, "text": [ "(array([ 0.0707372+0.99749499j, 0.0707372-0.99749499j]),\n", " array([], dtype=float64),\n", " 1.0)" ] }, { "metadata": {}, "output_type": "display_data", "png": 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Rae0bWp38qysBpEQ6p4puWlhVtCjYm2/yv8NoB9AXuA0YJCInL094\nnW/YE+S3CNYA3xf6eYMeGaBKSS8bqJRSHtMtVqWU8pgWVqWU8pgWVqWU8pgWVqWU8pgWVqWU8pgW\nVqWU8pgWVqWU8pgWVqWU8tj/A70gEjKACnejAAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 57 }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Two-pole filters" ] }, { "cell_type": "code", "collapsed": false, "input": [ "R = 1\n", "theta_c = 2.0\n", "b = [1]\n", "a = [1, -2*R*cos(2.0), R**2]\n", "\n", "frq, resp = freqz(b,a)\n", "plot(frq, abs(resp))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 58, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 58 }, { "cell_type": "code", "collapsed": false, "input": [ "poles, zeros, k = PoleZeroPlot(b,a)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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qlFIe08KqlFIe08KqlFIe+//SUjDk4jXchgAAAABJRU5ErkJggg==\n", "text": [ "" ] } ], "prompt_number": 59 }, { "cell_type": "code", "collapsed": false, "input": [ "abs(zeros)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 60, "text": [ "array([ 1., 1.])" ] } ], "prompt_number": 60 }, { "cell_type": "code", "collapsed": false, "input": [ "R = 0.9\n", "theta_c = 1.5\n", "b = [1]\n", "a = [1, -2*R*cos(theta_c), R**2]\n", "\n", "frq, resp = freqz(b,a)\n", "plot(frq, abs(resp))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 61, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 61 }, { "cell_type": "code", "collapsed": false, "input": [ "poles, zeros, k = PoleZeroPlot(b,a)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 62 }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Biquad Filter" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$H(z) = \\frac{b_0z^{0} + b_1z^{-1} + b_2z^{-2}}{ a_0z^{0} + a_1z^{-1} + a_2z^{-2}}$$\n", "\n", "Great \"cookbook\":\n", "[http://www.musicdsp.org/files/Audio-EQ-Cookbook.txt](http://www.musicdsp.org/files/Audio-EQ-Cookbook.txt)" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# low shelf-filter\n", "\n", "Fs = 44100\n", "f0 = 10000.0\n", "dBgain = 30.0\n", "S = 1.0 # shelf slope\n", "# -----------------------\n", "A = 10**(dBgain/40)\n", "\n", "w0 = 2*pi*f0/Fs\n", "alpha = sin(w0)/2 * sqrt( (A + 1/A)*(1/S - 1) + 2 ) \n", " \n", "b0 = A*( (A+1) - (A-1)*cos(w0) + 2*sqrt(A)*alpha )\n", "b1 = 2*A*( (A-1) - (A+1)*cos(w0) )\n", "b2 = A*( (A+1) - (A-1)*cos(w0) - 2*sqrt(A)*alpha )\n", "a0 = (A+1) + (A-1)*cos(w0) + 2*sqrt(A)*alpha\n", "a1 = -2*( (A-1) + (A+1)*cos(w0) )\n", "a2 = (A+1) + (A-1)*cos(w0) - 2*sqrt(A)*alpha" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 63 }, { "cell_type": "code", "collapsed": false, "input": [ "w, h = freqz([b0, b1, b2], [a0, a1, a2])\n", "semilogy(w,abs(h))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 64, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 64 }, { "cell_type": "code", "collapsed": false, "input": [ "Fs = 44100\n", "f0 = 10000.0\n", "dBgain = -20.0\n", "S = 2.0 # shelf slope\n", "\n", "A = 10**(dBgain/40)\n", "\n", "w0 = 2*pi*f0/Fs\n", "alpha = sin(w0)/2 * sqrt( (A + 1/A)*(1/S - 1) + 2 ) \n", " \n", " \n", "b0 = A*( (A+1) - (A-1)*cos(w0) + 2*sqrt(A)*alpha )\n", "b1 = 2*A*( (A-1) - (A+1)*cos(w0) )\n", "b2 = A*( (A+1) - (A-1)*cos(w0) - 2*sqrt(A)*alpha )\n", "a0 = (A+1) + (A-1)*cos(w0) + 2*sqrt(A)*alpha\n", "a1 = -2*( (A-1) + (A+1)*cos(w0) )\n", "a2 = (A+1) + (A-1)*cos(w0) - 2*sqrt(A)*alpha\n", "\n", "w, h = freqz([b0, b1, b2], [a0, a1, a2])\n", "plot(w,abs(h))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 65, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 65 }, { "cell_type": "code", "collapsed": false, "input": [ "shelved = lfilter([b0, b1, b2], [a0, a1, a2], sig)\n", "specgram(shelved);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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LLZGztUjZI7pepjfkuUTf0sHeY8927K+o5yFeAbqJU9XgYYnuYLoBbHVORk7f\nIY16Ank0hT5wGuq/UQo0yBy2HI3SEwJOKBEpK7NGz0PZVC3Y8vQj0vl3fBn44WNsPSO9r6N1xBLM\nVq/Kz2d4Tx4acK/cwwPqymOr7da8C+8Q9eCttB7fO1v2I3/k3hykk+ev6a7z1o7PPZ6ljzvlPf1Z\nTnrPcQfqXrlWeCLD8lvzhr8MlG035F8xvEoOMNtrNGRmtqmhX8voz9SSKhov8EzJgMwmrHk8Dxal\nUs7BRAkckQL6P6DG829foy/ItmxWdEej/I/XmaqbYmiNyBh5fTRoW+x2fkuTvkfW0/VetKZJeNlW\nndWqE7fkE9qdtwF1fW2T7fQyynwlB6NBU9j+yzOfm1rE9Ex05bfCmRaQpsYwANndPdVjXC0Mm8GC\nN+GAaqFZBVvZJXsHRLTwQ5+8HK2cfuYAG498tC1euEOn85J/qkm/xrX/pfU/LIXEbcU23mHf3+cj\n4NCgb9G3UTI/L24LbYus3qct17nnfbX59IBuixcAnbuh80wyLPewwBrBg5vf4uQCZDIxUvSQvA7K\n/BZjE6C8Kaxu/VHDDN3Ko8hhRSfx2ehbOO17RlmH84ILBiaAY3Ee7ekTTRyoTpbo6dgTKdjwPM3j\nupqLZH5pnmNqcNJFFyZXOmdDO3Vo1v65tsX2OurUP6P0HYYe3fJgSgurvN9qyDtMS/geWXPNvJHp\nhDy/1m5uaufkVhueCp19dN/KGR5PHRmgRNjU8dK6wNy7vMCFnJyrV6lRx5KT2aR7RFv6PQfYeGJ6\nX0fr/zvAhnjDealooNzzyBs7uhCu7j1U0wqcMtUnuM+uk2RmNHkpy8pBnr+w9iWOKDVxRfOyXK86\nbMqyu7a5T64X3E1H8yzdOkZ+LkUrr/EflQG2R3vUzpFRJY/71Ktw3otOkO05AAbnbTuYOQ2PkoU5\nb+WRZLGYk21GlJo96YvNDBubbIdV0YYnlN35D6Gjmr9FxskhvU+EHD1jRnJu1DECZkOQjKLPFrfO\nmPIsjGLTRgVzNCxg7kQNDadrMHJDQ0fo3uHytnCu5WDs4YS2A7QE75Fd0+s5Wja9B21J1jhbMM6V\npaFD4wU5n9eOCMv1TquzJXgrermE05KslevxjkjDusinmd7X0TriZgwwG3nCbQ5a8/Q0dbuyIssp\nz57IPrPVsKHX1fFo37vOezkB9Wn1yPs9LesYXgQwtXXS/kSUxudtr9ymeyuNo2S8o7XkBB1F3+KM\n0YZSG5G6jrDJAAAgAElEQVRW9GyrjbVSe6J7s+q1Imf32pOtIzgyeAKih6VnHKUy54kyvdAasNXr\n0Go+lYZFKvEgE5sTLI+BCtyi9fi62Crxuci29KW0DYXF2b4TrWz4vCTn5DfJthor21h26LmMKHN8\nluS22t1h46k62tn2dcGwkeY721vll2jAwtY2rlTY0KlF97p76L4z7OEWbQt8r+wR6VsOtndwel9H\n658cYGMAcGHZnoFkySiDxDHK5ZjoPEE21KOqZwhAKjXKHyYHQEP9yEe7WFkgTZ5G+RjFJsVkgwJn\neyU8ymVrCPOCUR5jQI5UpV4Lz1ZY5Q3t8nAIsvNWHQdho1g+orWF9ijf0mwDEhbgliOyJPMI3GkI\nm/gjtA0yEw+YeMDIJ4zxVOFTNDyHTzxkeeUpXXkenzBgCgNGnDCGE6bTUNmZ4oAwTRimEWGaEMYC\nD6PSRgzThIAxrVzEiMAThqhyE4LTyboZHkVuMnCRvch1Asd55GUl92WoKWsn+0Y/HHYCJqtDaEZR\nZtFogVvR7OqooVYkRvT6kXCnwygHpAuPW7DKOv2K/6i8rd9Mzo5ZD3dOlJ/31cUb16ts7alztsL3\n8lCe792ZUTpF/KAtuN/9aCYUx9Lfky35iPSFg+w8KX31DR2eALpItEkcLN37g84AX7jaHwtniUhd\nOO3nkffyKHqZdkFxWExPgP08Ha3g1AlqnHtV0ZSuu2G7TLbXoTbV4VoKMauT5irImcOzJx+pB7yb\n07KZZtN744420YArXfCB3nJW/IpLxj+hjwrdyWca5jyvc6ULPhk+asrf6IzLeMVl/IDLpOUHnMcr\n3sZPDK2Ub7c2/Tx+wJvoX8arlAnu2QrjB1wG0RkYZ46AbAyMj5A3F8abgS8AfURJ5s3JvBkZtZN1\n5ryyTN3QLUzI3zHNvvPS2ZnxTD1AN2rasDibqLflsdYfpt7ROkgjgJtwiRzeLd/CY3Gg1PGZ4b5c\n4mNBr+fQEdLEb/uNHfy9LuG8wq+FOulR/lYbAfevNrf1quFRz86SPb9o6pH0uQNsPDG9r6N1hPca\nUCba5vPfBD6hPgtOe67qbMkwYB5GvCDt4yE03YyN1ZG7iLyRwUX0NJo2AjRwrljzJnkkKzl02IMB\nQIYqWHu2XCJhZt+XFGRLX0zq4Tr5iDy3pOyqLsOUrdRyMpbSES++2un1crbQ7tXr2QKWncW4wt8r\nuyJz4hEExplv+Az/JiYMiAiYWEqUssWz/Mj75L1OREDgmCJUUqZ9tyYH1zIDTQiniDBMGC5zfs+e\npVX2lEYwmyKi2pFfJ2anTQ/ZLBd3/NYu/naDYh3+1+Ed5rzgQzclxhVp6TtQO0a9o4PyJpHG0fIH\nGF832rEynifODZuOFpn3e7bakaUNth2gAakedZ0ldnjPnt4ybbxnR4v5lWYmd49Ec/q948pax5tV\nq9icUwhXzuhLsg3abCJ6S9bagEtcFct0boq06Q1Ha0aXurG7crBzn6uj5RrPdhFekj8i/RCAHzzI\n1hPS+zpan33cBA8oDpE4QVzB6lgZB6opN3eiMs3L5eu565zSmXMElFJqnuTbcF5ennbuhmwxUDtO\nqRR4kDKw2dlYdgCXM+1Kby7RGAxK1W67N7eFdqS8LffMZfC0rTpb5YF9oXqtKHmHXs9OIycnI86d\nMLjy0cjiVp1WBDBsLJ8BH+V0W9sRyVGZAFy5L+txdbzc/JkZ3qPv4W3RkefWm19lpyjk9Ezalmew\nxtsjt3YNPy9J4Dw6YXgVbYLsou70gsCSms5o7NiJRg9Gz9IcoeEvLTtSDlnU18hgQD30GmpeFUkM\nKFtFGB4bPXa6aMnba6rcEem7D7LzpPS+jtbvfNwEyQoYPjFwItCZSxhSeqp8SnwWPtuJ7BLp0vkZ\nLJPfPT9HvxRXuQFlaTooRZ4IxdkKSA6QOEjZURqSQ5UdLHG6oM4XMLMFtUnG1mBs3wAMLGFbLpPh\nu1/ZAs038Hv1WzR1tOx+NMOGzChRhuDsWeepl3vXAZbnP6w5VFscrq1OGZuylXu8e3S28NC5Z2HH\nczsya8PmIgO74NuCjKX16F4GaDvCe8slnv1mLiu2gOOdp3v19zj+1lk8ssPQ0CNH06hftVdb75ro\nwOrMWJ79Vlp2evfNi6w5Hit83qJvHR11fLzz6mBa4ecI1Yqt5rWOSEcc7/fE9L6O1q8eYCNAnAsC\nAqfwsobABy7DiKYxZtkCgh2eaASEHg+wk991uNLy8sZvUjGTPY19kYdy6rqBy/4qXM/XyocPF7zi\n6deqH9E96Wg9G9HyjegSvQX7yIT/P1uOg+d5OfvbA0pDF5zcmqOyVcbz742S3RNV0//dOw/2d5il\n+5mnsFaItoL0cy96eSv/bOCAfnSnt7LKlpqiKe+1ZReZdCJIm0uF7fsbVnRapbfhab28R3aP/D2O\n0pLMmv4W+wvfJXnaGt6grdpo1UWafJ25xbk9SsZHAH0d2xjW7dK36K7ZOyL9toPsPCm9r6P1k8eY\nsXOZchdloZLgxYqDGrSW3Apta1nReFGWHrG9p8Lcy9sjv9ADuhvW69hKzEYhero2tSokz99SiW1J\nPb3GMMYMXsIbiygqpyDuuMaEeq6TzecFekvnjNqhO5nfpPfDvyOt3n9LZnB8oH7GE4qDrv/T0r1c\nolta67d9mnhv2GxLA3dPXrN1VH1zRF0F1M9wybHeW65to+D5I9I30KoDttQvz5DxHdxW53Zr1Pme\nSLWn3Vuv2vTNB9h4YnpXR4t//QAjdzggy/Lc1996jS3wHtl7YQLiicBDkCFPQhyowJY3tHgEPoXE\nO1HDxpxX4UOoeAgAgVMmRlAYUfYwStnCyzxGoNixySCKBW/wmhv++QjPo7Stsmv4PTqP2lxaNbSn\ntBGse+ne+VqKSm7lBRSn8CibS1GWZ+JAe0jzU4AZSPWsdYpb8Bb+XvkWX39jL7q7hbaXvkTzTvo9\n6QhnRJN3nreWrVGGvTZato5IDOB3HWTrCel9Ha1PDjBC5cNuOlNLTtEO2sw5W3Ky1tKWD+0gGX4L\niBdCvATEc8B0CQm+yAqzQIgUEAfDfxsQL4TpXGTjJWC6DAInexX/bcB0pkre6/BAaaUZYp74HVDK\nweIVjWfyA5z+qg2lscDpEGf4VV4GZlktlp2P5ooyr2Nwu+psgw7ZStgPbXSGQagh29TBBlv+2q4i\n5FbFaKIYvMDLQ+0LNrih04yUOHg2z4M6/I5Mcy5Jz0ar8b6nvFcXDX1GfkerrWcszUYz99IMnR2/\notnSOT6tZ+RpM8fM622Va9lfS0c4P/fa4wWVJTv36HED1Hu4Z4hQ6L2VpWu05rWOHDr86CA7T0rv\n6mjdetsP7En6kjR6OdXy3rBMb1XGtgLmBq1pb0u64yO8S5aAMETQiRCGmOaqaaRqQIYh22DwQGmr\nDAZ4JIApHa9yA/gTassrfCLYLTUKzVwn3yc295JNZcnm/rOpKNnc6758aTQZMQCRCBQCbhSyHbtp\nLCaArwx8QDrt/sqlFDkGS4OTbi4rfG3ofIDQOZcs2wHwB3Y8q5PkiJF3Gyeg2o3c0sjRwgJvZsPb\nsnxXdoMpLPchdv3CuR4v8Fp6Tj53eOQZk4PRodvVVC3dJZsV39sk8w/4b+9ToOkzyTvxR4M3eDM5\nbvMyvGSjwbPvWjD3Lbj7afFg7nGPPuMFd62OjdX7uBde4XNPxjo6TpY9/Qn8SlYV1Gk6uVKiyTN8\nmMsv8Wa6p/q7REB1/NMh6X0nQe1O7xvROuBquidH7i0bb9n2wO3eHdzwqHmoZZpyW2D9qJ9R3qGj\nQ2X1TcM8tWjaO22lrTYMnQnVEGOBMRvWLDIosrNhShi5YIY7Uds/UTov70SI1vGbAB4YCAxWBw4M\nZgYmTg5VYIBYKiYGR5aFBwweGbhxikhdGfjAyaHKJRL8Sc1LsOUlmCCNTygNRm5IDBwcnEulozQy\nmd6woSWMTNXpkIgJuwZVYd/QVvSG3iN0yL2xOQxzGg3lf76bPph71frG9R4tJV7h3yNPDmZDcw0t\nExBJSuG1RrAyjUXOl8aBig5eKr1TFBxsHfxAjfd2oWQHW140eN5eYO1ZHZBWH5+rmytnSO63hZs0\nbJTzNCzzK0fHODyz8y638gfkw8d5LDydjkBybUIpqwjoOzyvTzu9q6N1+YYDjNhKsOFUPTSubG3u\nsWedrsHAnr8lP6rnd6Tfkjfo8D06IPCFEM8ylKjDmueQ6Jcy9GhxqxPfAjgPURLYDGVWuLX5Fmqc\n0tyy1E6l5kbng8GVlu/LJfkg/cdEU37PhjjEvrfvGv7Kyeg4DU3esKKndDsUQMitMJnSRkFIhpbs\njuDdPHVkrL40jtVWYiZqppU7mU1I85E4Z1Mq39NPCzxnq6lr9QOMZ+PyI7Q79WkCwpS+Sy1ZJmBz\nA+/Rda8nW/b4TXmB85oi4+zMYHToCuM+Xaufk9aH1IAPwGmPPFB/W1y+D+v95g1QHbyIiz5PfVsz\nXNqpfGC4i07pXEn/P+b7K9chXXikz8Z68hPKIe02yuWvd5QH8psH2XlSWv03iehHAPxnSLfnv2Tm\n/8TxPwfgvwXwebH3nzLzf92yFf7woz8X9cvbgo/iHX0NIL2gdk7Do/9PS663+mVp1dnSihnBaUGH\nezpgYALCLYKuhPgBaVhT9jhLOSKeTSTqXEemosO79PO6DiKQDvZOkamlssBxLqM2riI7Ov2rkZlk\ng1ridILARTafHZAbizzUJRWbLRf5+tiT+VSJQ+CdttSR0LP2Wj1iMMoQa+jwXQmsy8xKfbX9sESj\nUfC82ZBGD9f/G6WB0JMVdFf4fEyOn0vCHXiJ15MjgcnAW+xpQ2e/T21wtY4ZMdtEs5KRPNto083d\nms3b8vPCJvO/SElU08jVWeo4VfwF+UUbrWt+JWXzMzURzx+1fsuzxFUxo/do3KGro1VN7xhQb22U\n6UmGlWa3Q2riQN4SydiY4TZgcUA6feH8FT1Ni5hbT0uYRAOAnwHwrwD4RQB/DcCPMvNPG5kvAnhj\n5v9AnK6fAfDtzDw6W8x/44BfbL1mm3v0Nd4jup63hnvaGn8v7nu+rXKJt0dmiyxQV5aNipAzToty\nXZ6BualDBdb7E4F8juSWZ6C90U3Pi7fZa90jf79aZYPmG6l77XQbCt9bvyPzPbbuvQ9b/v8tsp7W\nezfvlXlEz0e7YoP2DJke36aZV4F52kI7Uu+odI9twr7tDrbwHtBNnSXKR9kxlTJNoaGKNufVMlAZ\nx4PVNzwvf0T6Gvo38LnhzxxjzCQiAvPjv3ItovUvAvhbzPxzctG/AOCPAvhpI/P3AfwLAn8WwK94\nJyun8yM/VZL/2OOdtCWZrXK+t+ijPj26Vkxxh84W+xFpHlw+7xGl5yI9+TK5HfLhkZEDoBPaBc6b\ntVq7zpa9RrZ1Su8miUOTD8Otzmus8bwpq8rLpq0K581fI/KGrmRxuUa+ptjP11hyHnrDDPfIbdVZ\na8SOxrfIaDoYpnt01/B7G+J7aUd0TI7S0d+212ndm8MO3bBSbpHZI7vEs++zf797+B7ZPbZsIleu\nwVo3jhvlN8AEgKlMXWBZoMTKpOQgJZroE+XOUnI7qMAqj1q36BddK5tpB3jG5+/6APy+h808La05\nWl8A8AsG/3uY/zt/FsBfJqJfAvD1AP5Y19ov3/ELfWq94D3aXvpWWaB81NHxrfO1NH9pia+8W8fO\nhDJHyvIj0jmMF8jh15RLPiOFdNXJUtqFwG8N2QvAb2rLyKrdN5TDte213oosAmQIDTK8lso0JJPK\nCtbDeLMMZGhO7DhZkv876VHW45vYBQMMEBMwpspk1sPr7em0hb+kc1q5zqm8LxypwAwgUnaA0twK\nz0eqpaLwRafAgltHKgIsOsU2Vfwqemcc1wp3jm5xipGjhNapbvIney2u9jfLdu13ZtMSvkd2ry2g\nunfVs2hFlqv7vCBjaFvtQTsNjbmlHp4tqx8a8oL3FgK0dPK8WFqwu5f2iB3/m/395QX4vfi9cmrQ\nt+puKf1vgr7enB0vGDynvfA9Oo/7WCn9vutXtaPl/fFW+g8B/N/M/DER/S4A/ysRfT/zfHvSL/57\nBf74O1J+KPlf1/q1z6ZJo1JNNjQTgXfRqgYIZa6EpS3JMdJqOJk4XHbqrmkk5zqSlTsjn/E42/H7\nLPQZbYVHyI5gNcdr5DK/ZDR84W3VKXPHejpIUTKFgbrnGzr4FpkDdHggxEBlo9dAiEMom8kOHg8i\nX3gqxwaudGY2rVxtM8icNBo5wSOn+XU3zrwgc8/muNG7Gb2xITcxwpTse57q08TboihHZftuaHJ8\nlj/NFWHu+6xwKdl9rzOZjp6XyY6WRCSaZVjmrekq3pRp2J59C50824fJfx/eYbK2hx3X2uq03OOw\n3GPHpr3OxdHyZEpq4Eu8R2R7ukekI7aOAvClL30JX/rSl44xZtKao/WLAL7T4N+JFNWy6YcA/GkA\nYOb/h4j+DoDvAfDXvbE/+WWD/Czw93929+8FAI1k1s+NDCxA9Tw34lvsWbyayBtd5esrYk9zei2d\n7jLdxrUApEhOniTM9Z4nea8TriYJV3uaNGizPVJODh6cvsKE2WaHs/yedEb9EFsVwRL9UVlPO9U5\nH3Tu8TOlYVxxhJuLA2x5tngw/OTQWdjK4BZBY0C4MeLICGNEvAWEW0QcgXALiGNEuEFwypuv8o3M\n6lRO+7JNSFtiTCSr1Bg8EWgCOA8FU450pSgclw1WbSVs71tr6MjjPfo9sP4O08GpJoy3Ok7TvLRy\nM4dsQprv4mig0k4zi4y5JWxLNrjo5m0PgLz9wQwHisPk3lMvu9rQLuTZFgxLeYfdZrZRHB9p2kM7\nyo55jvr/VTN/tvINjcnJb+UTcqQ9Ryb9vC4bDZUJ7jZySB2dymaL16Lb//PORF+gQ+bVf/zxx/j4\n448z/uM//uMHWF13tP46gO8mot8O4JcA/HEAP+pk/ibSZPm/QkTfjuRk/e2Wsb/2cw/8UklE9XO3\n5YzekR2WdJfsObq+H7oPDVtY2g4P75HN8ujATpaBtOz7lEoagCClLgfP8OBkRtEbAToBQcoKNjLB\nOGE0FDyYYTPSCs83SnvLVkWWXwiXQ4OvpXW0PA8LPE+Du4albbVBSJGdGwPEGALyxFKtfCxewfp/\n6mTSLE/5Hlh4zvO2tDVNL1E5LJfLAgBGWj0pOOUXcYGXbQmcbYndAHHQGbg4Hpffvuo4reFHyOr/\nIvMCZ45Wy+Faea/X+Isy+i6Z30sb/kfq8Q19lx37brMpuYED5dk2eE29uMBb0rOlh5d4e2G9J0ty\npt720VD9bGzHWWWxgvt9s3r2Z/gJIJleQjI1BBeA3pC2UHlD3u6kKXPx+gC9UYXXvKQ/1xHZAxyt\n02eOcbSelRYdLWYeiejHAPwvSP7Fn2PmnyaiPyn8nwDwHwP480T0k0iv3L/PzP+4Ze/XDjiCJxAw\nBHGWXDkEcaSCk1PY0AMZHatPxSYLnW1lJvQ8kU8aEI1Y5UZKGxzBQ0zOUdAPSvi6SSM5ukazVI8j\nEAy92vQR5QPUZf55c3STtX1t7t8kPREaxAnzTpR1rHy2ETM7P8mH8Fulwh6/p1yzpclXus9IG69B\nRtjCi3YZZUn9gYnVeatKJCetKoGyZFtXEIVl+a12lW++reJ8FSeMxMlTB28mt8RTG5GLrY4NK1c5\nDPbjksbLv3eVU9F6J5fgNR7M9Recpl30R2z1fvva/7rnvuyQnUJADAFxGBApFFzyFAaHW/4wk69l\n5vy5fJFhAGGMCFMETanUTNNkYKFXstNcb7T41LBpZRN/MDwiTk6UTvEY5AQNpvS+6xxgbc9kbiw+\nAPQJ8vQQMlNNyExPye2A2Z9Op6+QmZqSf8MBKXwBX9EHS6/uo8XMfxHAX3S0nzDwLwP417dcLK6L\nrCcqDoGGMGkAooF1zw82dHb0XEoI09OrpbA+3GnnEcT0MoYJKfxvhgVCnNMU1r1oeEWGTe+30rO4\nOluxOE86F4LMffE7+7bw2caQPZ2ejKF3e3ot/F6ZvXq+seJG3kM/QrbVkDyDvtZ4n9MGr3yWLHO3\n0sawhn5G3gy20HRz2gIrvZK7eBpqOaEj6OKGsldZMLBmnUvWp6PQnL08h8xfR+aIKR03Ss4WoN7w\nHAZQdamX5Hq8rXKKb8l7ZO/VAdrvX9wIP8p3ssyE6XTC7XzC9XzB7XxO+XTG9Xwu9NPZ8E4ZVp7K\nqly2JbJXtXlRWydnM/EYwPl6S/k24nK94fzhistNaNdReAm/fLgKLLLCu3y4FnmVzbybuUaBh2uB\nVTZE7jxLTvdRF1ptev49WyYvOfb+vb43/f4I/MBBtp6QVh2tI9MPfnyMndlZbw4OHbrCwdIdP1hZ\n8e4pNmzLC2LnOCgMQppcbiqtGSx4E7Z2luCGTTs08DDcGW6ghoylb/q4bIUeDPzMzJgtJOgN+9yN\n9+xxg+dTaNB8RdSqmO6leXxgieQy8qaCAXljQ93QMEeeTEQLBPCUXlAeKZ3vqJEvG6karB21a+QG\nE9GakByeqcCIUupCiMznMrSX+Vy2ALFyW+zFWi7PsdRIsuboSk8/QAcReaqADjEBmEenW7QeHeW7\n3iK3Rt/dwN4TbTtvs0fEONEIoogTTYj0ARMFRAqQ4+YxjQFxGhCvQpc8UQ8fahuVzLBog5kQYsQQ\nI0KcEGKKLiXc5SliUBnVmWKNx6mihSgRK8URMZwiQogI5wnDZwovR2eX0hp/T9I699npwztc44H0\nro7W9/7eA4xoZRMdvBc3vaEZ7nha8SECo+9JmShXdcSAw/3kwd7O1dUkxdMdtvUe2QjKe9D0noyG\nZivBpcyoHbSlvCZD6K9O8s7Op13aRE+Ad+qkzkM6gzGNexk5La2zOjb4LZ21skfzDiw3aPfI3GNT\nIsitQ5a7tOkY+ZYugNm5gBkOCzxLa8h15cOcNutg+RWDYYG+R3YLz33vgSMCRyCOpX5q1VlreY/s\nknwvPer0LPG1LtwyeekR5+rT0rXp7SA7T0rv6mjhgLMOOSKfuxXtcN1kvilx2jkamSUdT3M6M72x\n4LPDboc5XskYnqfN7Fh5lXG04Gymm+Rv2qeELzlFS5XmPXJbdLRx0LTFEVB7e3S2yk4mu+OL9h6R\ntPnIpSXekjNLO/j36lgcmEcFG5PFNy2kOICn860GIE9ChsKGxmiXTZ63AeTGUVcX9uxDv3e3yitP\nqXC8psyKzqKs/cYG1A4rd8olnjrwt2V9vzdc17ad7tEr/f/ySLnEA455J1uyPZ0lPVuv9f6Xo+hb\n4CPSdx9k50npfR2tbzvAxgTwTZwg2ZwyChyFnnFTxiAwoUwmB8qJ9VND9+ZKtaXXn6TtDtLLC6h7\nflvotmd5AF0brOqwYE8zdGo0djNdL6e6jca00vWOjSZPsxXtklyPtlW25XzZxmIP/Qi+Niy39Fuz\nvxpNqTLyHub5E7dGtjIt2RHga0PfnunXqDCXlnJXDXNHprmk28v4SptQz0fswDOa3DM25/yt6rT4\n0dFYXidCPeymNFrhO1qeS7lTJ/N7jdxSA/gIb+0Z6rv6SAZqx2mq7fKIsuJzKUfzu3SuqP8/To13\nzuMNnZ6tpq7SyP0v9l71HKIef01nDda6ZcB8U+Vhhb5HR5+hd6SW2oV/itP7OlpfOMDGBNAVsms4\ngBEIN2lgrqkkwYM4ReGWGhi+iZOkeQTi1eA3IzMgLcKg4gfoEGIM0AUa5QBa+ZhyJSo/N1eQMO+X\n8HPDSuX9JyRnsCVv7TXtE2QFCPKKjlY5ow0bZDbyYGGtYPwO9j1aK+KyprOHB9zX49rSi7vHljQe\n6uhkeNwI3+b0Vb3edaby+2bD0idHN0PdTX6U70Iq2VynqiMOQ7cOqbFjv70I6ElKuZMUDU+3O4lc\nIs1Rs4k+K2xLntZpPCI5WiF1aoLp3Fg8D9sF+bdoQXYjjQxPabNO07OzbRTVEbK4dbRsdMlGtrVD\n5vHB6flojcH1RAFqyXo9++LZ36+w1je3Dn8rbYvOliHIR/l7bAD1s7XlEr0F36tn4SMSA/hXD7L1\nhPS+jtZPPW7CHuw7RNPzVDgWuKIx0orCM4AB6fgY7fEu6a3As5C2g8Eb5VxYvLrORntAcjJJl8/6\nfN4At1YWNvgzmtkVnmTTTXU+cyU4Yrnn+2ye/ciHBrxEO0Le8fUYJh2OVsdnlb7GE8dpBjsZi2My\n74xUxnmiMzunX6MxQ9Gp3jd13JU3YL461cE8lHcK5t0J8j/SiLSy1/3/Ofo8zekzuQVenhLgec7R\nsqt6q2h1aPBbMp5vaGHBhuc3naGek7Qmt1V3yZ4fyuo5QPfSd+pU+0Zxjc/ocVl2VX8DzS4aaC0u\n6NLRkQ3bbFQRVEO7K7X0dCRiavDWdI9Mv/pk+w+m93W0/s8DbJiKvvKevSfd4502yOzg5blfK5W/\nr8Bn8lODb3HXKDQbhCk1kjSmUjci7c35yrjQunPGWnjHnjoSeWd47U3ZXq7P9/L28H2yfItrAxKl\nnLDc0CzlNdmpPDf7DCvYOxB76Ht0JtPAS0SKTANBZN4V72y3yi08R7dHOFFAPgtTna1mxNLnFv0R\nWcXZPc8lB2YLfLTOs+2t2XSdxlWn6cg8za+vCwvsIgIPR+lk52ip5bX0OjbXZIFSd4ahZIvfy9M6\nuIlrnW1wDOLz+LqzBftyibcks0Zr1c97028cYOOJ6V0dLf63jjCC5gdsD6Zd/cC3VABawW7QpwkI\nQtcI2yAl5MOzPLiydRxHk8dIQyrywTAABKRhTtFRB6faR8vAM5r2moCykaNUXLp7t26AimmH3WCe\nV+/j6n2AW+gLMPdk8j9aZ79NxWo+SNZGZ3XD2vy+CD6LtHZois9s6HvjafoeIb1T1VBhkMo4irNj\nYDtESA7u8sIdelTuzbtkfTcCypybk3uH7PsDV3rYOvFxQXaPzRa/JXcv/REb/rfZ8giaDi335Kw8\n0saLV30AACAASURBVPc0SL3s69Fe/bomV83f83JeR/Uk0lMdZdaAq/ffRoGHjtyKzkzO0vX99Bkd\n+j1ye2wdkX73gbaekN7X0TpiMnzErMdJZhik2TPVhzphuVc8zem01JOeYI4rQXFOFjJvePnsqqZc\nyWi0aM1Oo0JktOmzSkobad9QtGw6u9yza+8LCq4wORyM0uNqyTZ4LRszOzB8C+v/4RtD879Rg9aS\n202z9yamkt07ZJ3G6pnHGmdD78rKdTmY+2DxgZIDPwD5rCndAV7PrVKZkGS0jAGoN1gCuPLiE5xp\nciNYXyRGfqk4pmul5122m0jDHrKLNRweUXaL1x3fZyWAqMcKNcoItHaEr3aGh7mXpmSHV3Jxo5y1\nt3YNvYsNJ6V6XwUmJ9PTvdsmYVtUd6vcEp1WYDLflDrS+m3YzB24R1vDezZhfuOeKQmetzQdYQ/P\nplbduFRfPkP2iPT1B9s7OL2roxV//AAjHQdjzcG5RzZHGZbyzl4i9WRDodGSzZVrdOcbxBVcG+To\ncG7Yiyu42geqOSXV/BOlUU2HxxUeGjJ77GjZun+9+7rxmd5Nl15xLqcGba08SgdAHAjxEsDngHgh\nxHMAXwKiZqEnfskz+bPlkdEV2iUgnu21hP9W5HmgdBRJzuzwiDAxhps5ssTIDjPZjg21PUWEm5Wt\n5XXT0vy+u0ihjzhWMuYb8XM9q++uJcNt+wBmG4fCwNm3vUNGnao1+2zl90R578n32A+dskfz00q2\n6Gy5BlCcrkfLsUFvOXdrdP1dvfQI/1Hb96TPPsHmgeldHa1f/D8OMOIa2VmDu0Rv8Pywl5dBR4fs\nR9T/qds99y1yazKm0vaNQISpuFXUyzQaCrtpouVVdOHNaECZwKtzCwysOTi8Kcso21iYBmA2GXko\nNNuTC9qjqx4O6md4L80/F1+R9WxElHMyJVMsItqQ5V46iWxA7gionl9Y0aS5a9kKmBkIJyCeGHHg\nDPOJEc8RURY4RIlwRWIwGDEy4hTBt4AYI3gKiDdCvAXwh4B4IvAg5UkcKoUzL4BPVPGYSM5r43R2\nmzhW6bw2Nme5sTnfjbNTFLo6KlN4YUzXoCmmY3fMLvKQXeOr4Wggn1YCLt85s3nE8q6qTNYRPdW3\n+2RVsNpUGSdfRQmMfa9PHRmr36VFR2tcN9OMgwag6lDaIOZMRukNmUfswQyZ5a0HTEkNWi6D0fXl\nqcFzcuR5wP6V1Gt820laGZWZ0YB8vBYHPWoLGUameznIKRFzHZVBR4dlCS4Pc7tHpK/9rm/G5w6x\n9Jz0ro7WT/3m4zZoAIYzEM4ywe8ksCkHh2dY+Q0dL7skMxjZKkrwaWfvZHFxnvIkTV6ge76n7+HL\n88odvVh38oJU5rlUp4uQ5rwp3ipJnDMC2DpsxjnOjpU4xqxOd6uhuqc8yoZrLNBpRDaVAWmYb69e\nTlEchlg1zmCk43XMMHxq/KnwFbc6lmYciTxEyDDXadFQGnP1NGAcA6HVDgCXf8vQZp2eBo2qnUOR\nhy6zQePMt4Z79MiiashmaWjIwbw0/ONlGc0NmJsbLCseUS+uiRv1WrjT1VuUM23HsUV+o81sy281\n47eiuXT4+j6QwPrcTwAuqBZtZPhS24C/HqE4PbdOuYXn8UFg76toJ4ocLo4WB8I0BMTzgMlGlC8B\n08WU5yHBRmZ6c7LngHgZsl48W7raG2qaiW5Pl2H+++9I33X5bS9HS9PX8rrMWtIDnAOlRjpIFCDI\n6qTsfOlqi1NNC6c2fZOs760MmEcHJil95GBvVltxoz1tI04BMZDJAZOBY6AOHiqdSIRpqOkTGXyg\ndDo9uWsNJLQAEBAip+MwImOInM7cYk504Q0GznICh8gYDJx0RUdgpWf7GU/X4sgyz4ZLY24iFLO5\nTh3eIXwbGTENaH6v7OTwNZ6ZUDvjd/AuL5T3Tc/+q4cbeebUtxz9XgdgD53dO105bw5v0oBm5MfL\ncUeuqa+9BBMB987PbG+roUFrRFttRH1VT506Lveqmsjt8GrStuF5uZZe7rTprZaOjbn1ydcO5T5V\n0Sj0yyXeZlnu40D6v3EzDqx1ilvzoTowtfhLutYZH+TH6ftu7n81fG/hHXzeqmPgOBCmS8D0UXJ0\nprcTxsuAaZQcJfOACSdMNGAKA6ZhwBgHTJjTp9OA6Txke6lM+PjRYPBTpk9CL/M2709nfPvDNp6Z\n3tXR+ravfdyGnYuTh5KAfAB0iKm0Q3zBwNWeNI4+o1lda0+jI6aCARbgJd4RsIaJCMCFwOch9R7O\nIb38Wl5KL2YSGaVXuOiOl6HIX5Qf8gdl8ZYtJsJwmxBuEcNtwmDKcJswjIJfazzJq6zKRwyj0b2q\nvOC3CL5NCGPEcJ2AWwSNUt4m4Mb1iiENvhjnqLtqT+gzmo0eNuTt3BtPQ0TpFV9caTeGJZR9qS6O\nZ+Utz8Bwsp5X9bxbWyB8CjkvQDGOanPifwe2zq51mDK/5QjD0VGXQLKZV+ZqxEDqmhz5aMBkvs8W\nrJHZPIQW0B42tjbld1Hjf/LZL4xY5FsZ81tyXefkqoU7jbTAWuU/rGufa0SKAsG9E1ZuxSmfyTmd\nRRsP/C9Hp3gCxjfCdA0Y3wZM11S/j9fkBI23s5Sn5DTdxBkbU04OmcInTNOAcTphmk5SDgmOwuOz\nOG5CY4FxwsSnHBh/JP16+Gyqy75C07s6Wt/xJx63kSu6lXKPrJ0cv0sn2h/mMj6dMoQICoyBZIxc\nyhgIzAS+EXgi8LXwihwqnZonNmY6DVjwFH7n/RmpTMOKUfZ06sgODAoMuvRtBYGroQ4/3NLYV2op\nQ4ZfZnbWbEkFzNJYk5adjJg6D9AOhOkEVPjYoWskZETVSak2NNR31kZQtXEdGvgJdw9tz+aXLMm6\nbxNwNMHZ4Va+NRRZORgNnaZNm0zEZjbs0eORKVqhGqC7CnDxesvk9OhWWvE97RzPAGPE59Chmzxb\nrfxArmzZby7OcdZJ5fo9exkTXZ3VFy2aRgkb19RhvNk3hzlN34+K1pHV92Im6+z4a2Jg8GlEPEfw\n+VbmS55kMYrMmWQicAyII4EpgCMhjgH8gfKcSs5zL4t+sScLZ6Tkk7F9LjpHpG/5/G8A3/dHDrH1\njPSujtb5iO0dAOQQsXWoFF/gWXqFN3haakXFHrcVjdOjBV6TtiI/m6y6YEOdFDBSg3XEb3jgt1cV\nri+fyQsNntwTMhVhdyjLwNSgcctONLI9m6aCpwHNjTx10047D6S5SWhDPkepGnaqndvt0FXDWWji\nvUbORzuA+h2wdtRpmxzd5zhX7dmtfu6KU7EpdNCT8fRH8Ed17TPRskEjL7Mg2y232vPvxJJj1OPf\nq2f5aDhM3kkaC9ztfFmaOGdNx21Bn6RzpQ5R5Rh5muKOV8m2aEs2mzQGy7wbnVeoEVWO5d7ghmre\noe63pxHOSteWa3y9lg6r+vrmjnT5ge8Bvu9xO89K7+po/dx/97gNGgDSYRDb4Mhk99mu1K38IC9c\nUI4RkY82D3vcalwnMJKf3Ki0Ht2eY3dz8t6uzZq+UhqFRyrOg3l5WTpKxZZ/bg8fTIXQkQcwC39v\nwau5Oo25WbP5IWu4zg3x+Bb7EvUCYb6EvDfM13nXm7wtMhaf0H+Wexrpo2R9WnLY7uHda48acIt2\nJL8lq++KTb065N66ZkedpE5F9a02cMB8m/q8z0hHte3V8zTFGfUqTkbZf9GU5PCZXmzrbpGxw97M\nSOd4Annhkm4VFzu4latwlfX4DltHpG+7Ad/7bx5k7AnpXR2tf/R3HrdBQ3F0dBUg6SrAi8HPtUxT\nx8st6OTSrjqxQyitOSa20bjNaWzljQ57fXW4JudYGRtZPt8od9923+i7WG3Br5BShxbYwSBUG7BW\nNFeBzmgNey3bTV07tNeA7+F3acaxs9ueVBOt5R2z71uG7fvZo2+F7btr32FrO5rfNXRg8//k/2Po\nwFbevBdr8pmmHjoeLO/RWbv2e3WiFnjVPnoeF1qFc9HLeE+/Za+nLzR7NBgMTKYDQoP7JoaGvP2m\nevxh5Xp6r7xDFDv0Z5cyT1SPIZpiylHKaSpwdPiM521MztYa30a2H0jhl4+x86z0ro7Wrx1ggyIw\nfADCDQifIG1gHZBPtpdtQMpp9w4fDD0E4RHS/CSRVTg3UAu2ZxWey815IC2ZBblqwu7adVA3JIVY\nSnK4LZvzRJyu77XNdL0n1qusd8LN4dodMMP0rsReVWLe66p0GrpbaS171cIMKfP2FZ62g9fdEqPF\no+KYVSvTTIXcyku8I/ShjWXnSJHq3EXToNn5Z3lOmvKXdFu2fRTQNow2P4Nu398j7D/ThtQ/0WRm\nWc/g6DmSsULjHbJVVEXwvFXPhkw7ZMMJabX7qXw/+ZzBlqyc2zl7pthI2yu/gabDoHFMjs40Sp6A\nsQOrzGjwHjzTH4HR8aYRGBmYCHW9fmf6psdNPDW9q6N1RJhQ6ztw6ehFhSNy1IAZJbIQ5GFSLaM8\nO0xQTah0PLJwMA5L50VhoJ6vpfpWwJEq1gK/d02/JHwtt5aR5//bz+PZqmt1WhX0Gt6RoQdtaAMf\nue6VRXY9NMefBJ/BTtfyZ7Z5fp2qI9DqFHi6h8NBMibSpg6prZjJlZbPrqz4bMyYd2pt1ZeWNtrg\n3zcfcZrx9HsFynEsGimbROY2129do3tsydGNJlB3XpQ3NOT9u74nLzhM92aKyHvi6RzWIKXdX8/m\nvGFyi97gVTaio9mfI7+HRlMGl4cGzeTZRsgbss4/iqbUEy18J7F67BZnUxgh74w0Vz5utW3qMLtR\nteK6AOcUgSGW51TJO3rP1irdv/93ps8fY+Zp6V0drcNSyxnqlffytsh6x8n9xiarJ+94M7GNevlA\n3GFDVrk9Oqp3cjZamWDCOHfAlraX3oL9RNYIxKnkScPaBp4Eji3c0wy8Bc9tOplbyamSG1o8wTMM\n5CMILdzSXeMPvQ6F6Vgs8YP5RlqyvpOyyDcwA5XzkevlHk/w2Zw4fQ9k7ldsySresUuO7iO4zR3L\nl3hrsmGBpz90LR8t15G1q7GDNu5Cs8N+qmsj8xXc0LP0zXqK90p9F8YNsliXUQfPyy45QdaZqujs\nZFZ0q5/iHJfeNeZCKUlfaD3tdZAOcqh66aPnmn84ffU5WuroDI3SOxBLvKN0gG2V1nvRXOUPRj25\nWHle7hk0W+LTx4lTDy3E5NDknjAhRT0VVjwiHTMRn5RNZVzNRXE0W5Ev6UycwvFdnWjkLV/kqw16\nA9KQiuKD45vSy2UZzzf01kbA1i4IeSfyKhvnmMVhbco5nVWZqbbrrwVGHnrViCOFNBXBDuPmaQWO\nRh16S54W7OSh3pYjoLjmuAHeKremY+YrsYFnCy6Ev7T5Z5cv8IzvZDmgmv9nc4uWVyEKzDfkbVp0\n3uBddlQ2FoeZgLJy0MKWRwZ3PNUJqGWqVYstHcOzTpmtI2b1Blx9s0G2Vfesyf6zkN7V0frW73rc\nRp7XohWOh4OR0bAuoQoFVxuYBuSGNRqYAjCqrLyggZFC5EgVnf1ggFL5ZRrXvVf7AVR85fX0W3xu\nX3vmfLVya+jgCcMJ+cfa7KOB99Lv0CF5ALmykQeYKm7KtHIrS+3laSy2uDwRRxPZDo1hG3LODfs0\ncaFHlsgZ17I56qawoYlOWy7RJ6sT5TomijbItyO3JeEn5GOpBnGKhrNkS5dSj8mqZD3d8XUbC5Z5\nLfEmczpukkeDe3qvBMqRhbEjs2ZLGsshmDw43Oclfo+3ZlOciSGUb4ydw1NFeVy0l9133tRd4/fs\n6SkFuq2I5IxL5DzXh/KNZifMyys+zO1Zm9S5VpzIHBlEsucdidNNFT2XkYyjTXUZKc1rij16x95Y\n7lHa20/gqHBdkkzgpBm9ISsT2eayaqMtC/cMbN6yr9miTFiWsY5kljkghX/uGDvPSu/qaH3/v3yA\nEcbsmIjm5NppgRdReiCCTw2Z2dEVjevNxvUH1E6e0Jbw2aHKjuYPYm7hecimNXS2F1+TledQOWgt\neUb5yGDg98YF5oFkQ756U71oN9Y7OZmzkbEb8ZkN+4pMG29dI54JfGPwlRGvDP7A4FtM8NXQrxH8\ngQ09duAt8ox4jXP5K8CRETl1JmIEhilVhPpIB/mmhik5psMJaSWtNG5sG8QBaXXuUBrGaGA6ASw6\n7BrijBNy1CCaXE3MXZhwO3Ym646G39LJtAkYY3HSgBQFHSJw0pKSI3oSZzTDvdLIKF3xSCiLcBoN\nky7YyY2d/CYbpZytwOvkiodtOl2+1gWu/vIrX1tzpLq8nt6KDlu5gcpmmkP6FmdlhglxCIgXT2/p\niKwtG3yWcjqFdI+vUb73COTvLn3ztsQ1Gp6T+xABpTkePsxtZf7V6F0BIk4dnot0gC7S6dFOkNCV\nP+N5eWujx1uwdUQavvUYO89K7+po/cYvPW4j96K0V9VwEro07VlEpAmbzjHwttWZ8g6FpdmJt7mS\nMLj22nQ5vd2dGx0deyQHQlqZQUZ3atlQGPLbpPR4kwbMhiL87tszGU8j5JBIZV8qzdzbsfASrcXb\nqtujBUgvObWUYUgnyNNA4BNnnLWSHibECne5oqEt5/B4Elmi5MgQg4lzaeFULsiAEWFLFLxnbyZb\nGtvAQJjkMYozESZgGCWqJR2EwZSDo4WhRGZCgz8MxY6Wfpl8nt83SdZOj3aMtAPk5trlOXc5eoc8\nLy4vK/dz62JxqioHS8uYhmPB1WufF9fkHJG/YaA4SJN8k5NxmiKSY6VDQFEdKZJrmN4+w10HpbQO\nkP8uvTPUw+H5e3QtbBzDOoLcoC3A1Vy2LbItvQDwiZMzf+a0L9Ypgk8EnFk6U4oXh0xhnAnhRCAp\ns5x0rCCdMa54Aufd0Q0PQLxxydLJSXis6HxjTFJmWZW7ehqLA5U6ULNrONl4BfiWYvIDS5bv+6QR\nZxOpPhk8CsxueyM6I3WO7D6TLoqdbbtrKP2QqFYE8D0H2HlSeldH62f/0uM2CGU4T1dMKS3jCqOW\ny7yGDWunogd3LWfbVmxwFZBWYpjm/KZsCze9xrgirzfIOniLpTghM3xDObM1FDxvximN50P5dIAN\nnStC6UierSlL9g7j0v2fdhkrKUdqbpLHTtnhT47GNyCOjOm6YsvSJuTtJkKUb0McLrtlygxe4flt\nVNZs5OF924C6oaviFb4zr/UsaYVnYXJ07zQ5B2orLW9AKdcivaapY/RUi2rOzRrNOlE9GgzN2zD/\nPlBuJVyZ95SztJbcXhoBIaTjucIQqz2z8hxCHREYgDBQWYkonYM86tCCG/b68qlhmSaeO/mNRTUZ\n30qLyfZmW3KThlvpQOnqY42wKi3Tw5zXk9dV00OD3/rmyb7Xj6Q/DOD3H2DnSel9I1rT4zZmlbbp\nGVd5I40DUoRBcDTofsm3HR6cLVfVHvVWuu2Ne7r02pf0/PLZEFLlGoJxNGHo1gGV/8FO5qUGze+5\n1Jq427ShFan9kCRiyDdDsxWukfX4zJbweQW3tsja1AarhVc0Xlxh1rPTup6VCRNSdHVKsEZo9Lln\n3ERwdA7JDLeRnYbeom40PkFEPaFWnC/9X+wxIHQHTZ9PNGVTDvKqcBq6yzBKox6QeuWE5BxGTp1t\nK686dr+lig8n05CPcnOsA2lL27jY/fpasmult5VL8/2p48aMsgXCnvIenaXSOl+djBZ9g95dWeu5\nmO6f7RznssrpXNWKxtJesORg4Ch5MHBMikG+ZwzyXcsLqiMoJ7lfEcgLcGKQe3lCtW2C3uOML/Ea\nssylXbA8dcppqdwi09KR/1/pkHtG8lz02xqtLh5Pw68BbwfYeVb6qttHi4GyKmwoZdQhCTMsQQ4P\npjfSpG2U1d5QGFANVWgvYom2KrNFF9IgBNcgSMUyaIXAphK3FbYpw2AaBYNXwz1WZ6hhy+MAYCgO\nKwjVfLbqkNXoeK1yj6zYX5IBUJwddQQb+BaZpk4wPMGZah02MhqRCFLq0PUsotmiGdmWvJetbKP8\nDg5GtpE2VYJSyW5J3p42jE2z5Bpryq8V5Gfj5GS8Tl5Fig1yCzJ2akDV8RjqDkirtItxljaMtR0V\n21mZ2QvledqDj/0c1RjnvOjxnp6jV3Lq1ANljpjLsUF7RG6vrDpVs7pL8tCBl3iDroqVupEl+6g7\nWd5Qf+sP/3NH3DDjfNn5y34uc657WnI9fVvX2HeuoVvVyw+mj778crRy+pYjjDDKvI0RuaedXWPb\nEFLqMUdHa8nNaADy9g0dOduzbDZsaNCW5Bs03ZcmcHKg1GbTFhq9NbUB6f0be7nn1suxVFjZjqXF\n+fX8Sszuhzxh9mFXMlPn49/Cn9o6QGn4wAWmUBwFH32xMhlXG2GZnyf12khEMLAWem2u33M2PJhn\nD0dndGgPyrbK2bYCvtxha7W0zqCF5T7q6Q0VbORntC16PRnzXtsl81XZo8PpP0gHUDogE1J9ONTf\nRQwoTpOFp/T/RCkZJbrIQB5GzlEXhcVhjUDlvNq2XJN/jP7/WHpl9vB7slAH2B6zdjHw2fE83JO9\nNGSNvOfRGcBF/vHJ5LEDr/FbsmsyHm85QFzjlh5d/eo3K53RnSO1ZjMe5Gh9EwPfeIypp6R3dbS+\n7XOP26jmDfjSwDNZnsv4imXJXqvMjQ+Vkize4OUhmJa8q8yrBr+hj5a+lXfOZDVp3tLlfyFGCnvH\nwssVrLHRsk8NPsw9qmrjBsyerjdwQAlfiAxvsJl3qLbPSe+Z/r7Q+D96/1+L3rufHbqPgAEo8+sa\n98H/n3YuXqXn8Nk8wBa+dM+ByunTR1m3ZutyFifUqadXyRkHazNsaUfR9Xkt3PPmu2ifRSu6AMye\nidfX5zR7T1xDNxsatBEDuTYZPBgZMnphxV5VL6rD1bpvtjQwLfBmMgs2ael6AWWulE7a1rlUp065\nhdeStbwgP1vqUa1Xs6O11YHaIveIjnN69AQLdaAszZYc07A7d/iVnQV+3iWeS/v7aDodYeSJ6V0d\nre/43sdtWI/YP9QWbF8mbrxQqzoLMHNphO2EXjtpXnl2Uj05vOKFjswCz9LtmV/s4LhGn+RDash7\nPU9vlQDypNA8nGuGQOyqszxsMqAaKrHDtDOat7lynZYTUb9cc4fA1wLUoGVei77giPSidL28KOcj\nhA2ZVrTP4nlelWbUOBZ41mmf2VH+Ak/1YK6T7xWn3z4LjaBBewZPf0rD2fFwi7ZVZtFZFmeJ7T2B\nkUObpvNg2PCznKXptXq0ln3rjJqVZ3lfq/MC3axcq2R69DWZs7E/oDiYEbnzeDftBuCD0CZUDutm\nmnsXlob1mvR7dBZsWafZnhuZjxhT2PJ6dNHZRdcSx6TPHmTnWeldHa2373vcBjOqyb9VY9Er47E6\n0c4FgmlctKSNtDWeNvwstLiu588UazlW9+CbeJD7I88JlCrDYH5v7mFKpRlOAF0MrHS7XFjhHv3c\n0G3oAMi9uzzkMiHv9Dyjm16gpXd5sa+T4bHAVSidG7jQZritKNfwJfsOD513KzTes5Zsl+booXGN\nlqzzC2ZBn1zukW2VtK4jl4E649kXs/gSz+CP8ILgzcRNsEOw/5TwnYNZqfT0hccXAl8obWdwqTMu\nBD6LzFnwN9kSYUnP0s5Jp9DQt3Ui0MSgUfLEBRc4jHMajahplqc6LXvNa6BcXyfSWucn4j5ai0+G\n558VN+QZ+fxPhTXrfFHNfm6ZTni3jlMQpylwTR945rfWTpf5yY+m80F2npXe1dHC9z9uQg8JXR2r\nXstbZNeu43oMjBqHwXvDXRU9LvAW9Njg+RuTyjm4+1f1gJ18hW+Vty0CkIYRNA0ALsmRwgXAG0Bv\nAiu9Q6v4nnYB8FGBK/tW1tjFBckRugL8IZX4YPAPAAwv45843OqoQ+XtfdKwr/gHY6NT/24tH9Ft\nlTqXj8y7Y8sZTH1+V2cjTaMwvlN+F859mTX93JaJg5hXPAs8ODyfRUlz2SxvZb08SlQ8n0XZsJU/\nOfvdzj7eDs/A/vvu8hzs64F4IUyXgPgWwJcB8S1gekt4vARMbwOi8KdLQPwoYBK5mj6IvKG/BcTL\ngOmjQqtsfhTyteNlQDwTwhQxTBHDNCFMMeO5HKcaN7I1vdCGMYqtdd2iM5W2otfOHM1b05GXPOhH\n5p0t40ixOkwCx4g0/49rmRjRrZt0eDACZbWxoftX8J70NQfYeGZ6X0frywfY8C6yz/apWU9DYQ0r\nn1FeyDWbM7e8wHYeAwxczXFwdHToinu7DFTRpOb11NkyG+X9/+y9S9B2z3YX9Fvd+3m+f5ITk0hu\nEOMFA3ghiiJQOjolWAQZMFPRkSMmOHHkyGLgJFWUxiocpIRyoIMMxLLCIDDyXw4AYSC38hiMJWUu\nVcYIVCg453ufvXs56LW6V6/u3ns/l/c9B+r0V/1197rt592X7tWrV68udRNkL9fRwg/qFWb4Lsd8\n+ZwzLjFtKHBtmxwiixO5oznkafkKjeWjPMPEZ87m/DcAb7lkLW8AbrXEDc05Z2p90udiBxqWd0ud\np3Xnpe5GYvO+2OcGGBnkZI1KS+fLCd8UN5E19bXzvmzeX835pDX03l/NyvWyBv59+m7Dlubd70r7\nHU1wGHxrw9LyAr0VbpTR3pu9pVi/rKoHc5/ha1+gXvGyE78Rbo/P82OHRlOIjLgkcGAwJ/BKYORj\naviNwN8wAXx97uDo4CinM2Q4OjloAgTnY2lYjroxJbMErB7BcxkGMD3aZo+vh6GabMiUNGjr7sUR\nzrcfxWk7oSyJhg0gOZMxDM5u7Nq3Ce4Jnlekr9AxzTczfayi9YqkL4xXoGbT9BFsD3cvvR1E3fLj\ncEv0YImyg23ot1hvMhvQQQKoy3ZG2cJC4JAVIVxDNrdfpf5FrvM1AALnT65+PQG/EvCFyLkS8KnW\n+YtKiwUI0vEETlK2deLU06DCW1rb7uFQE//n/HCIU/aj01nbytkaeQOwAiRlUbAMjrWtz1ffXDEk\nKgAAIABJREFUNVWgbPsC8BU1gOmbkyFy2eCwyvujg6t9t6VOrqP0NOToz9DsyrTf1qh9ZKZ6ZZ3Q\nz879ROcBOHu6s6W9T3f8LXTP3zsz7Y3gNk0sT34X6731Tgnbq6s5BO63+wzU+3pz8D2+o+z5B7+V\nMYZ3dTsRuuO+eXrtp0s/4UJBkGsPgzQHQ+9pD9oz+cTI/dBb7gP9RJNlEgqHY+FpYDcDezMwi/OT\n2SDjV0L/Lj+YPv3DrmgR0U8A+Cnkx/QnmfknBzRfBfBfINuJfo2ZvzoU9iNP/FJNquSkk/VX0O20\n1YEy2k7c1IewQcffwHRwNwMGu3JIxwAuDCycLSokGsJGuVMDgJXyR/aZxHk0+09kp9IKa9oXtBYt\nbRcH1Al9yL+JpMfpSwA8PlwVpk5Fs3xcVjlMFf23bf2BGhpLaM/gk8Qdw0hIm9jDyTTJlSMYmWKC\n24MN+bT+xHfw1He2vVjeDGfvmw5+WmdUa/dIHjAc/Jp2mNDM6jPeM/Azz/4I/wzM49MgP7JacE/e\nky8TUDDaTQZnYWYyzUcwgXcwlU0o5zTaY6ZGMN0x+SwMsiGowSsMKJO9YmXa+nZxjTgDt9b/kVyF\nWX4d/16Qgu/Av8XSrqJFRBHAnwDw+wD8MoC/TEQ/y8xfMzTfC+C/AvD7mfmXiGgexOEVS4f8RC4/\nGkUJaOqPyN+qskXPrKF7WEL+GKxSdcSbkBfUy4fF9W9SeZz1L2xoO/DZQDCjWU7QT2aWw/Is7Bmc\nn/miliPr0IxWYXSAP+IfWi3O4M5YRe7FEYr/YeP4bzrVKUzvr+Vdn5C3ObmqSJs2WG6n+77JtUe8\nozM7q7I+oZ0pG9rey/6+zxzUwqQ9yg8o2e8Ke7YffTGP37xi+9BZWSa++s6mAQ3muKE8nQCrEhRQ\n4+uZkm09VhiNnn0cwMKEJw5gOrHY+a6KKwoL2CiRTFXuEI9ah5fl8J2P4INp+c2vkfNe6cii9bsB\n/AIz/y0AIKKfAfCHAHzN0Pz7AP40M/8SADDzr02l/fVnfqpJ9w5uz9KGHbxXfNYB7AW5U+JmCtzs\nQ7RKjypeMPUNhx/yKbzF+QFndr/PPpdn6fxM2Cuud+I65fdeWVZJveNMR3qA50xu/NJW09b61sLs\nTLWBbcjLBJ5+Q1462I5lFgsUmUdI9VGqojuCwfGMYFPZRp5aOgnoFaBR/Qj/yrpNs8FqBH8Gtker\nFt/oyjP1ywmae+QF1CWxz7VOshxW/DPNUhncEphdIsObobNLaiO4yrJwtWqZ/qhMEhKqL5c8Y1pR\nnnUX8iQ4WYQ27tiMLri6s4TxqE9wk2jWCbafXHu6vUl7cDTRv0yPJfqx18h5r3SkaP0IgF807V8C\n8HsczW8BcCGi/wnAdwP4L5n5vx1K8x3EI0m14A2dqXZYGpPukGZiCj5Ll19cMh0huU6R+voC0HUA\nLx0q7dftdRy8LJnJvSrLbkC/nCbTEYVXK8FgyY3nsqlMURwN0Co/Xvm6p/0Mr7R14E9moE9rX0/G\n9F184IASa6yjXZ3cW62P5GudAnJYCun0QkQJhNgcVnsGtozxp2UF5JVmr9Sn3PE3S+AzS4CFJ/Pt\n6f3XAZlQI68ngJdetg5OZbCAqVulaIY3ClZXH8ho6k5mo6y/urSTnnQHH9AqPXwCdi/9PTIug3yt\ndV4mOH0PdMDVwdzQ8kj2Xl4wVHys0gQDJ9eGUcj2eL0ihhG9KlpA9/xo8lxn8O699LgJvJNJ6JQf\nu4w5W76mCXxIP5qQk6vbb+sf8XSkaJ0x7F0A/KsAfi/yLsu/QER/kZn/j47yBXswm7ViW5+VZlDt\nePZwO/J0wMQG8CeSkAKU8xcoDuL4JPArQF8YmMR6KXiBkzquK3wgixT/haP9RMAFCOLwXWPImPra\n1qGxY24mjozlu7UyoDI2Fhw6vnxtgFdR1o5m/xZ3ZB0Ywe7A8wZsK7Ddcplupn2r8O2Wn/F2A9YA\npCBwSGZgS8BGORcdIwHbJvnEdQKhnKW2SBk1B9c2uZxPuUhp4U7GEK70oW03Pknc1snAyMOA2nlr\nOZBhS/K4EZ1VkhtTU5+5bM8b4bQ+puEDGWwuPV6+spMMhdmcgcPz7oTW+iH2/A4/U36OcM+Wezir\nVGl9RatUqSV49J7pfM5PruygrRNcn4RGd/yqZYss3sCx5t9EZqOK+iyRtMnBG7qb4XXwIkPbN1RF\na5bOjLKv5p31xSNlSOtAuxJCyM901qd7/ln5ivSS8/3eLx0pWr8M4EdN+0eRrVo2/SKyA/zXAXyd\niP5n5IhZnaL1x/7HWv/qDwJf/aEHfrHMlEsU30lJMsueBSTVpZ9ZoNIO72n0BV8ZBMpKy2cG/gFA\nkWqE4giQhjoQ8/ZpvG0XPJXdJE1bZxzFFG06/wRAtjVP8WY7coMvnaLZrszIQfgKnlsTuF4LmH90\ns4/yDP0Z3hGtvBfBLMdmZTHD4orugO9tbdtJFO1th2bIY+GclTWCXFt+l92+H0y9HEwsbRDyDtSQ\ny5Ucb2jbjbywc41JDju4YY530g8yAiEFQgoBKYZc7uQthEqv+QRfCiS8g2z4wUDQOEq2NPUcn4mn\n+DmMhXdC3+G42dxRLGN20LIwi3uFdWuED7VNK6oipVHVF9RDllXhscpP6QvHcNvuDnL29YBeoW2U\nVvRK3pkMVCvN1cjayyMla0+5mOFezWM2DQzLMzhxGXha1ivSd7xGzJdffokvv/zyNcJMIt7xRiOi\nBcDPI1urfgXAXwLwh50z/D+H7DD/+5HtK/8LgH+Xmf83J4v5Dz7/gxmExJKlzqUdCo4NvsAMPrdb\nfKYPE17bDkjI18hSc7ymgIQABpHABF5p0gRe6cnRBAidpRnIUrifgbJrdzNUpTuigZF3QGOv221v\nH+WAZtlmqnTRgG4imwY0ahQ4OlbI4o6ONHqG9t6O3u56eii75W//7DRqv0bZL20Xrb/Bj+hmeBfR\nf08+FhIFKmKLuZy2BZZCxGZobLvSBmwxDmiNrBCQYssLzopWXLccuFLKeNsQ101wDn/bCszyxts2\nliU8Da3nlbZOdI6+6yn8LOwsfGaxOLJmvIrnrFXlUfwR356sUeITsDM0j8ja21C1l3VD1T30Vhmb\n0b0i/YH/APjP/rsXCauJiMCsNu3H065Fi5lXIvqjAP4csi7/p5j5a0T0RwT/08z8vxPRnwXw15Bv\n53/tlaySfnQIvSslCniLF9zigjXk8qZlvOAWFqxSKm6NC96ExuMqj5EjMt4m8m7l+guWtOLCKy7p\nhkuq5cJtu5R8yzwKM7xLoc10F9NeHG3Dw0qztsfJ6PKmvtBmB9iUztWHvJbOXaPZOeb9bKwCFHpY\n5yOzBwv7dDyAqR9ClFlxlFkwuxKhh1nnzSYo6YTulKwNJZhfEyRVyz2c4G28ro7vCGdlb2ZMIZkM\nW8uXfV5qYSvWJ/QWLc22LYpVU/dZz7GLeTJB4Lx5diPwRmCiPLbLj2FQPtgYVJYXM03FAWRghveM\nLFOvEmqdij+iXhF6ldqOOYguPlX8PbKqPAiNKFnemn9v/ZW08r58aOmVPou3S45q4QqmPqK19KO8\nh9uj19+aXPawo/YreOxkzd/De5RroCqU8STPDPeK9MMvlPUO6TCOFjP/HICfc7Cfdu0/DuCPH15t\nvfPXjVIAAhgRDMYmfhVUjg+JxFgpYQkbLmHDGjesMeJTXLHGiDUukm19GcOXCdzAFmxYeJW8YeGb\ng63Svgl+xQJLb9sCa9pWxmroN0TeEDVoJzgvjZmBVOs2MGeBmUFWd98MfRFm8ky9kWf9FRI6hchb\nr3yk8Bl+qGB5Xkff4aNRDEZOnb4zjYP2szxulqzbujlivBGDpD+ytLZUxc36DS6mfR0rad0uQfGn\n0QN/i8IjPjZ6mG/BLwK3dJ7fyxnhvVx1aI4oygeAvpO/t7yXZzSwyHMY1vdw3qoxozsrDxhaCHiT\na2k/6wczGWRHoQ9KXgcyB/CpVWL0m8kUM6XJwWgAm9KNcDPlxytWR/BX4LxiCPTv2h7sLI/+/XsK\n0Ihn7xu5l/5R3LPpe18k553SoaL10vQrz4uItCGEhCu95QjoAVnZCshtQg/v8ACCzHYDiQMmPQTP\nQeFYBnAWfynX3istfwQocFtG0w7SHpWCL7to1DHTKlEaldwoSs0umdXV3wawPXqDY1G0aNQh0Q7s\nCG9gdK9M4Nwsy+J1kLl35neShmxplgWHy3uOZg/f8ROq/8plwmscmrv6COdLB6OzcjR/qnVeTtzH\n0X1Fe1+P6E7TzCwDj1gTXsFjrcwD6/QUr21rrX5UlsUD3aTnrvYJ/hGOd/AAqpLrcffkZ/lV6RlZ\nu44mZUf4R2QBh/3H3fhH+fQ7ezZ95UVy3il9rKL1L7xGDEmUNQKfniFNYY/ibAc4mtE9K/9BejbA\nehYeGTyVnw9QoQEhn4V4QV1uaeRO+Iz8jg/IylYCkKozvq2/HLeJcjnhK3/EkRI0gr8aJvBR+JHS\ndnwd3snuZE1wI3yN9I9sadJ8cW2zxHcKr/Iu5/F5UMjHSTEhl3ayIxMdlrpOqFgmQlqH5W8mTZSt\niErXXMPRyeCk592VEwuaM+7yg9S6wmHqLdzJsLITmnP5YOoKL7vkjMV5tBuOzPKx3VXXHAs12T3H\nE7hddi68VqmwkyADKwqRnxiZ+sgiPbJie97h9d7TmnUPnLCvhOAkfjbpO+L3NJruGXMeob1X3jPp\nVU7175Q+VtH6l1FfOi0xgFllZkQ/e3n2Xqy9F/Oetq9bf4VZPqI5I+MMHSOfN3hBVZoutc1XA7tW\nnOVpeK9UYVcnT3hg5Ru5uMr9uQH0xiAt3wDceAJDDhshcNwA+sw97M3QKu9a2yqbCw0BN24VYj5R\nP0v3aN0oP3eVQI0R94wcV5bdq2pdlRmwPzLEH/1xmt7QsW8P5OohwmkhpCWUOrt2iwsNjZVRcBdC\nir28JIpWIy/mNgIQYM/i5Nq2dY8D1/M8MaJNlcfWB/JCiXXHjQWZrJXZW6SdhXsY78lao98GMIV7\nmM1WwfDKhleQ9qzYR7izPGrB2VvuP4I9wjPCwd1Tr6T6+gi37eD2+EbXY/c7R9axM/hX0b8ivcqp\n/p3SxypalxfIkAFm6NDnnf1GsFfjzjgkHrVfJY+RY1kZiwQvXKwE3JxFiHxuobS5WBeo1gucDI/i\nDN1MFiFbmMysmVYuMzMqyxga18u0N8uDHA+h1FEHnIDyFlMAsHAbI0fifJWdL36mt2fSfgSHO/iQ\nrSQsZf6bcqkKFEzJrt1U1XrpJyQjvon8oVVC/x4p/W7O0e5Ocu1dWGiva60d6kROkRBiAqK8c5Fk\nQ4FYpST8CUtYFHb4QrcYuujolom8KO8z2Uk4l1LtvBq0lxy+o5MHcopuIrc8Ezv5mjmt7zm2z0qg\nflcBdVl3TxYNcpjA93Cvgmuy73DC3E/4rGXlHguMNRiM7vXsfp59TmfKEYwwVip9OzmY/k22j9Fk\nFd2R3JFiuhi+Z9P1mOSbmT5W0XpRKuZ+BpgJCLnMs3OSrfWU6/AwU4J6mMrBiEf2/xgYJZalLFEO\nErcwXbra0MBr2eMsj8prl8pGPDJ6lvhcXOs6g9Cvw35wmuyHuSJ/DDfsx6sZwWybcK7zOMKpYqIf\nsvydpcPYUAMiHnU+IyVpr/2eOEmqXNlUHo3v0GYwB+cJ/FDGSbpTfaMO2mev5a8RWJQvLu9wiSh/\nwgrCE/iMZypb6/4Pl/petG5PWxS2A5ojWt1FmSiYOoGR2wkEJglDY2mlnYSOg1j3FC4yku7SbGRY\nuJEBgt1J2VjjMrdY9KSucK5haQjG6id0Qz62MiZ8EtevhEORrPETwaZucezozuBUiRrJ9N86jx/3\nqP0QjlCswbt8XiEa5T3cvXQzmpFi/I9o+lhF6/PzIhIRksS2SVFi7ZAGFow5aCHZIIahtAvMtIcw\nz78jwwcTjGsfeDD6QIQluKHAbobXyrN0a0LYajDEeNtK8EIb2LCbRfgZxGy2MZt57Mk6ogPOKVVH\nsEeUs9ksXxN/C9RH7RclekTuzAr3TczWGsfmN5bBz8Ix4Jnx278XqP5rmPADrWXOWeR2nbhHlr0R\nz4CuCVNiLIgpBtyWC94uF6zLgttyyfmyYF0uuC2L4HL9JuV6ueBtuWC9OHjhuWZ5Br+KLK3n67R8\nS1px2VZcthsWKWs28CTtVcLXCH6R8rrdSt3jLttbCxdZ1/Wtkb1saw02bXMawAbwdIbnDhwYbVgT\nW47qj+IGpT2Kq0y8raUNrj4rH8WNaOwE+lXpBbrFe6aPVbS+/rwIkhkuhYQQAhASEIAQGCmwKEMJ\nHAIiZUWMm4jRBG6iSJs27dN2uJQtWiFl/wqCBBINCSHKbItY2gm0McKSEBKDNlGcUi5Le8vBCMMm\nSpfiBEaFp+Joq1a04az9WdgIDkBneU19M7Rq0RpZdDRZujigm1mDZtajI7ztAGb1s7BnedzyB9v7\nNloaUavLBFdkEFDOzxzQ8uwaqc80gOV7ynP8SIZ9P/jkdVLlKWcpGqtCOVNxG8BMveHlVobltdex\n1gkW/w8y7z+5clangGJZ07ri2NPJO0E0pyvWt4WKX2S6BGwlL7hdRBm6ZoXoTRUjyW+Xa1acSlsV\npwvertemrfi367VpF16BRU6I24aYtlIu2h7BthWLgStNA1MerSve0Sxp7eSENYFuOYc1gSSHm5Zb\nB2vxD/IgZb+7LYFSpg/gokgT6xiG7I8oG0m01BAnHUzbI5gNn+JgZdOJLXH8zd6d/YrBPfkV6e+9\nSM47pY9VtP7+8yIIjEgbYhlU1H5vsrR1F9wUN+LHDo5knLR4E+eHpERT5gqNBmDBj/kyUzmSwuK0\n7nnbGzUu78Uxmu3bd8u8h4ZQ38hXybO0I0XMdw7vTWPrETV46eLa6hskfkK1begGPPaok6be+CL1\nMhDQWATtEVf5kGmuuATkgx7RHEBNhr/BJUensox8Hly3OWdum9TP4hycNtRddXvygDoYWAuu1u1S\nueSyXD/AvSrTwggxIV4SeNnAkSSqPiMsG5ZlxbLcsC4LPi1Ltj5JbMCbWsE0VqBka8EqMMsTK90q\nAZvXsOCGpUxCme0iomQ5SWPDBZ9xhbpstIuLZHgNvJEXCl2Cg1s6Bq5vN1zebrh+fsvl2w2Xt1pv\n4UKr+Anu+rmVobhPQh+NDHudmLZW0RmVDuZ39TYHbXv4guyjNNkR3F0L7Xc6jZEGtOPRiOZIxhHu\nVZatv/sCGe+YPlbR+gcvkGEsKxqrCmbmN8W7dWI7Q+Qwx81y4WEcn3c1sKyc5nH8p87Wmll3zigD\nZ2Fn6DG4dzOL2UfgNNnfqL95Ymnp7tW9uB18VnSy8sNlE4Jx3E4CZ8C6SWu4ArBpl1hxqE7hVpa5\nRmnH9pre/6/zBzRw2tSi5fwFtwrDIa3gjWxbYkMJT9BuqMiK2ejg3xLbyYcisEqUD2vg+T3MLP80\nfogLurAWe/BTsBE8Ig++xg8yhISFVlBIWOiGq7ozkHF1sHV1qSDnCsEBaQ1IKSDdLC81chr3ikZO\nlrvSBTdasNIFKxbcaMGNLk17pQtuWLAaXG5fBLbghkvTXqFyo8jSdsXdhF7bGyI+rW+4rp/xaf2M\nT+kNV7zhGt7wafmMK97wKXzGp8sbrp+U7g3X9Q2f1jd8Wj83sKvAMjzTbOsbtvUzeH0DrQFYA8JK\n2FZGXBlYE7BuoJUQZFLVjEO+3MM9QmsnBZA+RzcEAfsuGcYq3FjhrQXcK0e2n41O5jK5jtZfkT69\nSM47pQ9VtHihY6KjFGRmb18kl3kCP8IVGj9bDTv8fgnFvqQKd7Aywx+YX7sllA2NfB7B9WPwH86o\nPsLt8T1Krx9QY6GhE8+lp+mfGe3gkHdJqvXRvieyNKO5+L7oRoLkcCVxq+wOn9H+e2DjfBVYpOzH\nscoy0Ea5viDXtX0RmoUMHJlH4crTyMIBj7n+QsN4T8SAbAHJS/YEEEk9wcR74mksKRsnysaD6mNG\ntXxeieraK8qpB82uVkdLult1R06Gc0tn6YHWgjCyKszgnuYMz4EcAiMinw7RTbaAHjbCrSd4TsLf\n6IrP4Yo3+oS3cJX2J3wOn/BGV7yFKz7TFW/S/lzKyvPZwN8afG5/pk+uLXJDwhsx3kIAKIIIiAmI\nTFg2QmRpJyCCECPlbj0C4QLElJWhwMhlAkIikNYZIGk3mVtY6dv9xMr0O7NVlrKK4nAMQ2dWWGz8\nQ4tjJxc6CbP0jGokANA6IspP2FD7RpK/Q40QUkfiolR1fVuZXGEwXnBruX5F+vauw5q+8QfDMdFR\nIvcyncnhHF0n9wyfdvb60mjcGumgSTrwMdzw3wCsAzp7fI7leeMCbwYc//twZ/sMjSqhRzzqSxKp\nWE9qvW6lLzQGhgZu+LRt5UZ/nVZ22eYPZCuKLF9ly4lpa04DmOGhCQ8OeRwfMRBISi7BOEEoQTKZ\nqVhieKXyXna0GlhT8cHSUvXh6mip8Q1TfHsdxZlBoMFRbZtrZnrKCjGNr9dc08pked9XzjHURIEi\nDQVSYqehhAcpNLeWpuKdvJuRJ/BC6+Uy+mXDs+09Gr0POlECqtKv3/uIT+keUZJmuCfkLGFFCIxr\nuMlGpXogtx7YnWLo2lvZxCTwGIulbQsRCVlWQsBGsVrX4lj2FgI4hOzHygkxbTk+GW+IAmvgSXCl\nbnlausiOR+l5K7yeLoqDXyKqAXVtSZT9fXfx6GBD/gG+lS19QdL3nhGkpFuF2RxuPYxujtfBaUX2\nM2bp50YyjOyXpBe4Jb1n+lBF6//+F3/keSE644WZQWsGauRk1yYT7K/ChB/czLph28qLtq1nsNVg\ngdJR+yCBNwA3KoE1hwEG3wzdbYduyGPyCuOXQ42PSPXHod53RxSZU/TqF+SsU8X3x8A5ElKUj77U\nQ66HqhgpvKEt+NDSBoHdQZu3sIvFZuV288E6rlPZ4ak8shFh4+zgKniFhS21st11VEZYq0IGICtZ\nonDkSWltd1n7pGTahLoBYZRxHp70/umWf7lvusMXpq00OoAktLzlOQXzfBXXtOuzT/bdIMr3cJX7\nuqbSsdd6KjQFp8/hpjjzPIqss3K1nr/7Yu2WI75U6WldD6i6FphlnMIXbRtG4aIKa/iogRUa86pU\nxUfeqaGSxI4WhpYb2sJvLbmdXG5oKSTEkBCtEu2X78/gpN5Fj7dJFVH7e5KhpQHOK4hpB/9iegZk\n8lKVoNJ/BSqbrkpdvwGHV54eV7/XDm++NcWRKFrZiT8rQsEqUDeWTQRO2brVet5sYOmdjJXBtwRa\ngSBjWTAW4uwSIGPmK9J3vEjOO6UPVbT+PP0bT8sISLKzRGYM2yal1jMupoSwyaxjqztiguAqn8pq\nZXqaILhQcLldnHyPHP4MvjoG890OhsXkqpalfFPK0lgX3d22ZxHgXXR3Hz2+oZHdTrh6PuQgptcq\nhyOgcX0Yo5g/lOP0mHrB2bg9o5g+Lo4PUxsnqOclgPP7E5DyDFajcessVfNmd33WHZ5NiI4SyqMN\nr1HoCi2BrYIlA3xRjqxPhfexOGp73JP4FAgbRWwUsVLEFrS+mHoutzCpU8QWltK2cjaKWAdy7DUU\nzqC86SVsWKIcoI4Ni8Bi3BCXDcuWd5wt24a4mt1prrQ0ytPRGn4Lp20DgUWxl0mJ+MKVgKe2beki\nDJ/ilA+tTNPuZJp2+e6BMsGEK8tE0JSvpatKHhVtAmPFzMHP0Gi4jU45XHt6cryNouNLrY8Up7Pl\nnTxEQF6/ZAR5fmEQHJdNiWF7h2Zx7SBtljaQ+0CgKLC0cN3FvwC4WIs7yqaVtt3S+PaYp20XPh3f\nXpF+84vkvFP6UEXrO+l5+17g7JuQj6RI1eSbjAImOSZT3xzOwDuYKmfrVkIpVHqupYZUGM1k7CCq\nu0JGM5+9WdG9eORr5p2KLL5MXI484YVBkcASzLT5yMsOtgpTS9YI1kTTDtLHJcrOxEzZ98c6bHPO\nAMoOoRJIFoqjEiS24A0MKkdkNPiGnkzQ2UqvFsvAqQR5Jc7PMfsFJVMX03filqfDpVpXWWBQzKE9\nKHIJAaLX0ICKzSze5hn8UdxJHkL+OyG+J3FjbEhYeMtLNyxqKgck/QoFVnAC2xALLre13vJ5uZvQ\nMCDKsC7B1GWf4VKQxdnlG4uzSz2GvsihhBhTDsey1OUg4rysy0URkhzkmB6jPFm8tbpafIqtDLss\nngbXaOQJHrqKq9Z2VIWHROMgGMs7nOKkNGLRr/Qo8iBt+YJahauRx8Y/kYuPEm2mLjitU3I80n8V\nOBv4jF7abNv6banSBVOflWdprLUs3CFPlBlE1BAfkY3l01hBi5V0ZP0k48slymjKLwKLAprDk+hE\nACX4dLGM6jdfxhOufr46ZpH8PjPu1EPvK7yxcJrnXsel+ixYfhs5ONlDc59I9P1k5x/fculDFa3f\nhp9/WkZ+zzRmFRfH3CDLeRolONs0bF02BJPwBeGTkqIu9cjAuAkspeJTExpfG67KzdGyzCM0D/LU\nThNov/y+OUx7NGpZQ/5W6IAc2hEczQLvnTU+gFN/z+bQWs0eFnZwU3quzvXef21PPp6oH9HpM/DK\n+IQ+pqx0YFsbZ17eaOzgv7Ppom7aoDHPRFaJeaUdf8DwmJ9Tz+Lo2Tm8RqJv8EKTBz5VfOoSdbL1\nO3F+aScvmYaydJotsrqzr+nFyuMlahUlENr2QVkUqjt4el44/0axXpDUjcKmyl/jBznye7wH3/hJ\nymkd/rnvfc8j/BHdPTL1/SLzbjZ55/ceZZvsasdObhzpoW3KODhaVFo2PL7NQ7ha0jyO2vYLUoz4\ntqKl6Uf+6q8+LaP4BFhTtrSrzxYKroFZczi3vNB3XeXq8R8sZlX0ssDoHBA7p8eBg2PacWxUh8V9\nmgFecrGeHORDGhZlcwAvimgDg3R+qdaZy30qGWjbPr8TnvRZddYCud8xmKWa3tJwZIklaKR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3Qw7Udzz2GUrqI8jWDKP4bV5csM0989WsbWPm8Ib9pmrNPeyMlo7NQzmVU7rg/e3jk2fbvgCqoY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cp4VVKaU8poVVKaU8poVVKaU8poVVKaU8poVVKaU8poVVxQT/5RLX\n+y9D+L7/I4rhPE6KiEzyOp8qX7SwqljxizGmlTGmJXCY3BO8w6EndqtS08KqYtEKIAFARBJE5CP/\nFbSWikgz//qbRGSliKyT3Ity17aaWMUULawqpohIRXKvO/Clf9WrwIPGmNbkXmNisn/9MmNMO2PM\nZcA7wJ/zHiKaeVVscvLqVkqFoZqIrCf32pm7gSn+Pmt74F/+63kAVPH/2VBEZpN76cMqwNfRjati\nme6xqliRZYxpBTQCssm9Sr+QeyWiVgVul/jHTwIm+nuyg4BqVlKrmKSFVcUUY0wW8BAwFvgZ2CUi\nPSH3EnEi0tI/9Gxyr64EkBLtnCq2aWFVsSL/aL7J/Q6jHcAdQG/gfhHJuzzhzf5hT5HbIlgD/FDg\n7xv0zABVSnrZQKWU8pjusSqllMe0sCqllMe0sCqllMe0sCqllMe0sCqllMe0sCqllMe0sCqllMe0\nsCqllMf+D06whMymlZ7mAAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 67 }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Filter families" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Chebyshev Filters" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "http://en.wikipedia.org/wiki/Chebyshev_filter\n", "\n", "* Type I: Ripple in the pass-band only\n", "* Type II: Ripple in the stop-band only" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from scipy.signal import cheby1\n", "\n", "b, a = cheby1(4, 0.5, 0.1)\n", "b,a" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 88, "text": [ "(array([ 0.00018204, 0.00072816, 0.00109224, 0.00072816, 0.00018204]),\n", " array([ 1. , -3.53281335, 4.78185631, -2.93275311, 0.68679537]))" ] } ], "prompt_number": 88 }, { "cell_type": "code", "collapsed": false, "input": [ "w, h = freqz(b,a)\n", "plot(w, np.abs(h), 'b')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 89, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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MBf6SexORzKtik5OrWykVgjIisoactTN3AmN9fdbmwD9963kAlPL9\nrC4i08hZ+rAUsD2ycVUs0z1WFSuOGmOuBWoAx8hZpV/IWYno2jynq33jxwCjfT3ZfkAZK6lVTNLC\nqmKKMeYo8CgwAvgF2CEiXSBniTgRaeQbeik5qysBpEY6p4ptWlhVrDj9br7J+Q6jLKArcD/QS0Ry\nlye83TfsBXJaBCuBH/P8vkGPDFBFpMsGKqWUx3SPVSmlPKaFVSmlPKaFVSmlPKaFVSmlPKaFVSml\nPKaFVSmlPKaFVSmlPKaFVSmlPPb/AAQiwixTh00OAAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 90 }, { "cell_type": "code", "collapsed": false, "input": [ "ripples = [2, 0.5, 0.1, 0.01]\n", "\n", "for ripple in ripples:\n", " b, a = cheby1(4, ripple, 0.6)\n", " frq, resp = freqz(b,a)\n", " plot(frq, abs(resp))\n", "\n", "\n", "legend(ripples)\n", "title('Different ripple values for a Chebyshev I filter')\n", "grid()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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TzReMplw48EIWblxoX0F33GFmiK1qJeHdAe0DA3mmb19u+PVXSqqrXVauEL7q\nmmuuYevWrXz88ceEhHh+ZQhXkByrE9yWLfDQQ6aH5I9/NEvPdO7s7VqJWlqbmcPvvReefx5mzPB2\njXzbY4/Bd9+Z5Wtc5fBhc9HGkSPH55ZkFWUx6JlB5N6Sa998XL/9LVx3HVx4oesqCFy8eTM9QkL4\nlyTmCRfw1ekW9uzZQ8+ePQkNDW3QU/XCCy9w0UUXue24Mo+VsMu6dWaW9G+/NcHUdde1zXX8/MWP\nP8L555vZ7P/1L99eIshbjhwxQ9hLlsCgQa4tOz7eXB1ou8q7gRHPj+DJqU8yPsmOS2Q/+AAeecRE\nfy50oLycQatXs2rECPrIeoLCSb4aWHmLJK+3UfaMlWsNK1bAGWeYi5TGjjVLrNxxR9sOqvwhz2D0\naPjpJzOp6IQJ5spBX+Er7ffAAzB9uuuDKjBD5Bs3Nv3atL7TWLy9leVtav3+95CZab7Z2Lii/bqG\nhPCXHj24Y/dup8vyN75y/vkjaTvvkMDqBFBdbYZGTjkF5swxHz67dpkkdVnP1X/ExprVUaZPN+ve\nff65t2vkO3bvNpPV/vOf7il/0CCTd9iUaSdN49Mdn9pXUFCQWSzymWdcVzmbP3XvzveFhawqKHB5\n2UII15GhQD9WWmqu6Hv8cZM3dcst5kPZDy+iEI0sX27W+L3sMjOtQFv/m150EaSkHL/0jKu88ooZ\nYnzzzeNfq66pputjXVl71VoSo5oYK2wsJ8dcZrtrl5ljw5X1zM7m5QMHWD5sGMpfl0IQXidDgQ3J\nUKDg4EFzVVRyMnz5Jbz2mknpOOcc+QA+UYwfb64a/O47s0bjgQPerpH3/PCDyRW8+Wb3HaOlocDA\ngECm9plq/3BgXBxMnWrWEXSxS7p25WBFBd8cOeLysoUQriGBlZ9IT0/n55/hyitNAu+BA+bD5sMP\nTS6VfHltnr/mGcTFmcB53DizHt6yZd6phzfbr7razPt1//3uHdYeMMDkt1VWNv36tL7T+GzHZ/YX\nePnlpjsZ17ZfoFL8PSmpTa0j6K/vX18gbecdElj5uMpKM0P3jTeapPSkJNi61Vya36+ft2sn3C0w\n0EzF8PLLcMEFZuqMxuvanciefx7atTOz1btTWBh0725WIWjKxOSJLN+zvPVFmWtNmgS5uc0nbjnh\noi5d2F9ezjLptRLCJ0mOlY/KyYEXXzSTePbuDddfD2efLZfht2WZmSa4iokxw78dO3q7Ru6VnW2W\nWEpPB0/kMam8AAAgAElEQVSswTpjhsnlOv/8pl8f9MwgXpn+CqMSRtlX4O23m8lCH3nEdZW0eSU7\nm7dycvjaVdPPizZFcqwakhyrE5jWsHIlzJ5tcl/37oXFi80Q0B/+IEFVW9e9uwky+vc3Q4M//ODt\nGrmP1ubLxJVXeiaogpbzrAAm9ZzEN7u/sb/ASy+Ft95y6UzstWbFxbGtrIx1RUUuL1sI4RwJrHxA\nbq5ZvzUlBebONWug7dwJL7wAQ4eabWSs3LoTqe2Cg8258uSTZsqk//zHucVO7eGN9nvzTdi+3X1X\nATalpSkXwAwHLs1Yan+B/ftDYiLpjz3mfOUaCQ4I4PqEBJ7IzHR52b7mRHr/epq0nXdIYOUl1dVm\nnqLzzoOTToJNm+Cll8wSNDffbOY0EqI5Z59tZgp/7TUzPFhY6O0auc7eveY98MYbEBrqueMOGmTe\nh82ZkDyBlftWUlFdYX+hM2fCUgeCMQdc1a0biw4fZn95uVvKF8Ib8vLymDFjBhERESQnJ7NgwYIm\nt3v11VcJDAwkMjKy7rZ8+XIP17ZpkmPlYb/8AvPnmxGCuDi44gqzrFhbnhldWHf0qJkI9uuvzUUO\n/p5yU1kJEyea3rjbbvPsscvLzfuwsNAkzDdl5Asj+b+p/8e4xHH2Fbp/vxljzM4GNywoe8OvvxIZ\nGMiDvXq5vGxx4vLlHKvaNQHnzZvHunXrmDZtGt999x0DBgxosN2rr77Kyy+/7JJgSnKs/NC+fWbR\n+yFDzJV9NTXwySewerWZpFmCKmFVaCg8+6yZkfy00+DBB92S0uMxt9xiemtvucXzxw4JMXlsu3Y1\nv83E5ImO5VklJJiusK+/dr6CTbgxIYEXs7M5Wl3tlvKF8KSSkhLef/997rvvPsLCwhg7dizTp0/n\njWbmhPPV4FACKzfJzTU5UhMmHMuZ+u9/Yc+eY0GWI2Ss3Lq20HYzZ5oJRZcuNfOabd3qurI91X5v\nvQWLFpnhzQAv/Wfq18/MZ9WctOQ0lu9x7Bty+rBh8M47TtasaX3DwhgeEcF7hw65pXxf0Bbev+7i\nb223fft2goKC6NOnT91zQ4cOZVMTY/RKKdatW0fnzp3p168f999/P9U+8gUjyNsVOJHs3WsWt3//\nfdiwAaZMMcM0p5/ullEAIRpITDQTij73nJlU9O9/h5tu8l6Q4oilS817ZckSl68C45DWAqtTepzC\nzPdmUlVTRVCAnf8+x483lzeWl7vlH8Ef4+N5MjOTi+PiXF62aJvUP10z47S+27EepeLiYjp06NDg\nucjISIqauPp1/PjxbNq0iaSkJDZu3MgFF1xAUFAQf/vb35yqsytIjpUTtDbJ5h9+aIKpPXvgrLPM\n0jK/+51nE2+FqG/nTrMgd3W1CbQc7SH1pJ9/hlNPhbffNvlV3vT88/DjjzBvXvPbDHh6AG+e8yYj\nuo2wv+AJE8z45plnOl/JRiprakhatYqvhg5loKy6LuzgqzlW69atY9y4cZSUlNQ99+ijj7J8+XI+\n/vjjFvd9++23eeSRR1izZo3Dx5UcKy8rLDS9UldfbdbqO/10k5f6yCPm57x5MG2aBFXCu3r3NvOf\nzZljgpa//hWKi71dq+OtXw+TJ8PTT3s/qILWe6wAxvYYy8q9Kx0rePp0aOWDwarggADmduvG81lZ\nbilfCE856aSTqKqqYke9JRA2bNjAoEGD7NrfV4JFCaxaUV1tclf+9S/zpTMhwfQA9O9vpkvIyDC5\nUxMnQpAbB1b9bazcl7TVtgsIgKuuMpNeHjpk1sNbsMDxJXHc1X6rVpnh8qefNhPg+gJ7AqtxieNY\nuc/+wCo9Pd1c5vjJJ25bj2hu167Mz8mh/ARc76itvn9dwd/aLjw8nHPOOYe77rqL0tJSVqxYwaJF\ni5g9e/Zx23722Wfk5OQAsHXrVu6//37OPvtsT1e5SRJYNVJRAd9/bwKpM84wy4ZccglkZcHf/maW\nmvniC5MPkpIiix8L39eli1kP+M034YknYNQot12kZrf5882w+SuvwLnnercu9XXtalKh8vKa32Zs\n4lhW7F3h2Lfjvn3N5b9r1zpfySYkt2/PoPBwPj182C3lC+EpzzzzDGVlZXTp0oVZs2bx3HPPkZKS\nwt69e4mMjCTTNinuN998w9ChQ4mIiGDatGmce+653HHHHV6uvdFqjpVSairwJBAIvKS1frjR652A\nN4GumGT4R7XWrzZRjk/mWGVnm2kP1qwxy8n8+KP5Hzh+vOmhGjcOOnf2di2FcA2t4X//gzvugF69\nzALPv/mN545fVma+oHz8sbkNHuy5Y9tr1CjTCz1mTNOva63p+lhXfrziR5Kik+wv+NZbTY7Avfe6\npqKNvJydzaLDh/nAzmET0Xb5ao6Vt3g0x0opFQg8BUwFBgAXKaVSGm12PbBOaz0MSAMeU0r55NWG\nubnw1Vdmrp8ZM8ycNYMGmaGImhrTC7VvH/z0k1kyZMYMCarEiUUpM+y2ebOZvf2CC8ww9uefu39p\nnJUrzRqHOTmm48YXgyowKyG0NByolDJ5Vg4MBwJmOHDRIucq14LzOndmaX4+hysr3XYMIUTrWhsK\nHA3s0FpnaK0rgYXA9EbbZAO110d2AA5rrb06ReHhw7B8uZk48brrIC3NBEj9+sH995tu/gsuMMm9\nhw6Zob377zcX7ERHe7PmzfO3sXJfIm13vOBguOYa+PVXsz7lrbea98e//20Cn/qcbb9t2+Cii8wK\nA3ffDQsX+vaSTa5OYK9rv5NPNt/c9u51roLN6BAUxOkdO/J2bq5byvcWef9aJ23nHa31LCUA++o9\nzgQaDxy8CHyjlMoCIoHzXVe942kNRUUm5ykjw8ySvHv3sZ+7d5vep4EDj93OPtv87NZNcqKEqC84\nGGbNgosvNsnkL75oAovRo8375qyzrJVbXm6+sMybZ3IWb7jBrIXpD7MB9OvX+nyeY7qPYeGmhY4V\nHBRkEjc/+QSuvdZ6BVtwSVwc/8zI4NqEBLeUL4RoXYs5Vkqpc4GpWusrbY9nAb/RWt9Qb5t/AJ20\n1n9SSvUGvgKGaq2LGpWlZ826lB49kqmpgYiIaPr3H8aoUWmUlJjIurgYevZMo7AQ1q5Np6QEwsLS\nOHAAtm1LJz8fCgrSCAiAqKh0unaF1NQ0evaEsrJ0unWDP/whjdhYWLYsHYC0tDTgWOQuj+WxPG75\ncXExPPZYOitWwNq1aXTsCMnJ6QwYAFOnppGYCLt3pxMSApMmpVFUBIsXp7N/PwQGpvHtt7BkSTq9\nesF116Uxaxb8+KPv/H6tPV6/HmbMSOeVV5rf/vOvP2f6gukUPF9AaFCo/eUfPAgvv0y6bSFEV9d/\n3Pjx9Fi1iocLC0kMDfWJ9pTHvvdYcqwaUkqx1LZYenp6OhkZGQC89tprlnKsWgusxgD3aK2n2h7f\nDtTUT2BXSn0KPKC1Xml7vAS4TWu9plFZOjhYExxsviUHBVF3PzwcOnQwF8106HDsFhVlrmjq2vXY\nLS4OIiIc/TWFEFZUV5vlcVatMhd2ZGSYkazMTLMAdHW1eT/GxkKfPuZK2bFjzYUf3bp5u/bWFBeb\n/zvFxS3PWj/i+RE8M+0ZxnRvJsu9KYWFJrlz/36IjHS+sk34y44dhAUEcL8szCyaIYFVQ65OXm9t\nKHAN0FcplQxkARcAFzXaZitwKrBSKRUH9AOaXMa0osLR6ola6enpdd82hGOk7awLDISDB9OZOzeN\nuXOPf13rE294PSLC5Fru3w89ejS/3eiE0fyQ+UOrgVWD869DB3MZ5pIlZqzVDS6Oi+OCTZu4r2dP\n1Anwx5H3r3XSdt7RYvK6LQn9euALYDPwttZ6i1LqaqXU1bbNHgRSlVIbgK+BW7XWLcwCI4Q4UZwA\nn9tN6tvXJPa35DcJv+HHrB8dL3zKFLOoo5uMiIigBljvi1PtC9EGyFqBQgjRyBVXmPmsrr66+W02\n5W5i+sLp7LhxR/MbNeXnn82Cojsc3M8Bt+3cSZBSPCDDgaIJMhTYkKwVKIQQbmZPj1X/Tv3JLcnl\ncKmDs50PHgwlJWalbDc5r3Nn3j14UD48hfACCaz8RO1VHcJx0nbOaYvtZ09gFRgQSGp8Kj/ub3k4\n8Lj2U8qsPO3G4cDUyEgqamr4uaTEbcfwlLZ4/rmKP7ZdXl4eM2bMICIiguTkZBYsWNDkdhs3bmTK\nlCl07tyZgJauMvEC36qNEEL4AHsCK7DlWbUSWDXJzYGVUorzOnfmfwcPuu0YQrjDddddR2hoKLm5\nubz11ltcc801bN68+bjt2rVrx4UXXsi8efO8UMuWSY6VEEI0UlpqFmAvLjZXRjbngy0f8NK6l1g8\nc7FjB8jNNWvnHDxo5pxxgx8KC7l0yxa2jB59QlwdKFzHV3OsSkpKiI2NZdOmTfTp0weASy+9lPj4\neB566KEm99mxYwcnnXQSNTU1lo8rOVZCCOFmYWHQqZNZgaYltVMuOPwh1aWLWQX7hx+sV7IVoyMj\nKa2pYdMJMBwo2obt27cTFBRUF1QBDB06lE2bNnmxVo6TwMpP+ONYua+QtnNOW20/e4YDEzokEBoU\nyu4ju5vdptn289Bw4Lt+PhzYVs8/V7Dcdkq55uag4uJiOnTo0OC5yMhIioqKmtnDN0lgJYQQTbA3\nz6q218phbp7PCuCcTp348NAhtx5DnIC0ds3NQRERERQWFjZ4rqCggEg3rVLgLhJY+QmZPdc6aTvn\ntNX2cySwaimBvdn2O+UU2LwZ8tw3n/LJUVFkVVSQUVbmtmO4W1s9/1zB39rupJNOoqqqih315njb\nsGEDgwYN8mKtHCeBlRBCNMHewGpU/CjWZK9pfcPGQkJg3Dhw41BXoFJMi41l0WEH59oSwgvCw8M5\n55xzuOuuuygtLWXFihUsWrSI2bNnN7n90aNHqbCtlVdeXk55ebknq9ssCaz8hOQZWCdt55y22n72\nBlYj40eyLnsdVTVVTb7eYvtNnAjffGOtgnY6q1MnPvbjwKqtnn+u4I9t98wzz1BWVkaXLl2YNWsW\nzz33HCkpKezdu5fIyEgyMzMByMjIICwsjEGDBqGUon379qSkpHi59kZrizALIUSb1KsX7NkDVVUQ\n1MJ/yujQaOIj49l6aCuDujg4ZDFpElxyiXMVbcXkmBgu3bqVgqoqolr6RYTwATExMXzwwQfHPZ+Y\nmNggiT05OdmpKRbcSeaxEkKIZiQnw5Il0Lt3y9td/P7FnNrzVC4bfpljB6iuNvM6bNkCXbtarmdr\npv38M5d07coFXbq47RjCf/jqPFbeIvNYCSGEh9g7HJjaLZU1WRbyrAIDYcIEt+ZZgW04UK4OFMIj\nJLDyE/44Vu4rpO2c05bbz+4E9oRRrM5a3eRrrbafB/KszuzYkc/y8qj00aGTlrTl889Z0nbeIYGV\nEEI0w97AanjX4WzM3UhFdYXjB5k0CZYudXw/BySEhNC7fXtWFBS49ThCCMmxEkKIZn3yCTz9NHz2\nWevbDn52MK9Of5WR8SMdO0hNDcTFwdq1kJhoraJ2uC8jg7yqKp6ot1yIaJskx6ohybESQggPsbfH\nCiA13mKeVUCAGQ50c6/VGR078pkfT7sghL+QwMpPyFi5ddJ2zmnL7dezJ2RmQmVl69uOim86z8qu\n9vNAYDU8IoL8qip2+9ks7G35/HOWtJ13SGAlhBDNaNcOEhJgd/NrLNex3GMFJs/qm28sra9mrwCl\nmBoby2duXEJHCCE5VkII0aKpU+GGG2DatJa3K68qJ+bhGA7deoiw4DDHDqK1ieC+/bb1SbOcsDAn\nh7dyc1k0eLDbjiF8n+RYNSQ5VkII4UH25lmFBIWQ0jmFDQc2OH4QpY71WrnR5NhYlh05wtHqarce\nRwir8vLymDFjBhERESQnJ7NgwYJmt33iiSfo1q0bUVFRzJ07t27dQICnnnqK1NRUQkNDuewyByfu\ndZIEVn5Cxsqtk7ZzTltvP0cS2JvKs7K7/Twwn1VscDCDwsNZ7kfTLrT1888Z/th21113HaGhoeTm\n5vLWW29xzTXXsHnz5uO2++KLL3j44Yf55ptv2LNnD7t27eLuu++uez0hIYE777yTyy+/3JPVBySw\nEkKIFnnkykA4Np+Vm4doTpc8K+GjSkpKeP/997nvvvsICwtj7NixTJ8+nTfeeOO4bV977TWuuOIK\nUlJSiI6O5q677uLVV1+te33GjBlMnz6djh07evA3MCSw8hNpaWneroLfkrZzTltvP2d7rOxuv549\nITTUrBvoRqfHxvrVtAtt/fxzhr+13fbt2wkKCqJPvbnWhg4dyqZNm47bdvPmzQwdOrTu8ZAhQ8jJ\nySE/P7/Bdt7IJZOlzoUQogXJyZCdDeXlEBLS8rYDOg9gb8FeCssL6RDSwfGDpaWZdQMHDLBQU/uM\niIysm3ahZ/v2bjuO8F/KRUOI2sHArri4mA4dGr5vIiMjKSoqanLbqKiouse1+xUVFRETE1P3vFIO\n5547TQIrP5Genu533z58hbSdc9p6+wUFmQnRd+2ClJSWtw0ODGZo3FB+yv6JtOQ0wMH2mzgRFi+G\na691qs4tCVCKKbbhwGsTEtx2HFdp6+efM6y2naMBkatERERQWFjY4LmCggIiIyNb3bbAljfYeFtv\n9FjJUKAQQrTCY3lWtT1Wkmcl2qCTTjqJqqoqduzYUffchg0bGDRo0HHbDhw4kPXr1zfYLi4urkFv\nFXinx0oCKz8h39isk7ZzjrSfc3lWDrVfUhJEREATV0G5kj9NuyDnn3X+1nbh4eGcc8453HXXXZSW\nlrJixQoWLVrE7Nmzj9v2kksuYd68eWzZsoX8/Hzuu+++BtMqVFdXc/ToUaqqqqiurqa8vJxqD53v\nElgJIUQrPNZjBcd6rdyoY3AwA8PD+daPpl0QbcMzzzxDWVkZXbp0YdasWTz33HOkpKSwd+9eIiMj\nyczMBGDKlCnceuutTJw4keTkZHr37s0///nPunJqryx8+OGHefPNN2nfvj0PPPCAR34HmXndT0ie\ngXXSds6R9oMvv4SHH4YlS1rftkbXEP2vaHbftJuOYR0db7/XX4dFi+Dddy3X1x73ZmRwpKqKx+td\ngeWL5Pyzrrm2k5nXG5KZ14UQwsMc6bEKUAGM6DaCtdlrrR2stseqpsba/naaGhvLF5JnJYTLSY+V\nEEK0orrapD7l5YE9MxTc8uUtRIdG8/fxf7d2wN694aOPoImkXVep1pq4lStZl5pKj9BQtx1H+B7p\nsWpIeqyEEMLDAgPNfFY7d9q3/aiEUazJdjLPaulS6/vbIVApTpNeKyFcTgIrP+GPaz75Cmk750j7\nGY4msK/eb64MtNR+Eye6PYEdbMOBjWaq9jVy/lknbecdElgJIYQdHAmsekb3pKyqjOyibGsHS0uD\nZcvcnmc1OSaGr/PzqXLzcYRoS1oNrJRSU5VSW5VSvyqlbmtmmzSl1Dql1EalVLrLaynkqhgnSNs5\nR9rPcCSwUkrVTbtgqf26d4eYGNi40fF9HdAtJISkkBB+bGLJEF8h55910nbe0WJgpZQKBJ4CpgID\ngIuUUimNtokGngZ+r7UeBJznproKIYTXOBJYgZko1NfnswKYEhvL55Jn1eYopeRmu7laaz1Wo4Ed\nWusMrXUlsBCY3mibmcB7WutMAK31IZfXUshYuROk7Zwj7Wc4GlilxqeyOmu19fbzUGDl69MuyPln\nXXNtp7WWW6ObK7UWWCUA++o9zrQ9V19fIFYptVQptUYpdfzc80II4ee6d4f8fCgpsW/72h4ry/+0\nPZRnNTYqii2lpRyqqHDrcYRoK1oLrOz5jxAMjADOAKYAdyql+jpbMdGQjJVbJ23nHGk/IyAAevWC\neuvDtig+Mp7AgEB6De9l7YAJCdCxI/zyi7X97dQuIIC06Gi+9tGrA+X8s07azjuCWnl9P9Cj3uMe\nmF6r+vYBh7TWZUCZUmo5MBQ4rtN8zpw5JCcnAxAdHc2wYcPq/vC1XZbyWB7LY3nsq4/79k3j118h\nP9++7Wt7rXav3239+OnppNuCHnf9fj23buXVn37iwksvdUv58lge+8Pj2vsZGRk4o8WZ15VSQcA2\n4HdAFvAjcJHWeku9bfpjEtynACHAD8AFWuvNjcqSmdedkJ6eXncSCMdI2zlH2u+YW281F+vdfrt9\n29+77F62rtnK/JvnWzvgggXw9tvw4YfW9rfTzrIyxq1bR9bJJ7slmdcZcv5ZJ23nHLfMvK61rgKu\nB74ANgNva623KKWuVkpdbdtmK/A58DMmqHqxcVAlhBAnAitXBm49tNX6AdPSYPlyt+dZ9W7fnvCA\nAH62N4FMCNEsWStQCCHslJ4Od94J335r3/YHSw7S9799ybstjwDV4vfY5vXvDwsXwrBh1va30/Xb\nt5MYGsqtiYluPY4Q/kLWChRCCDdztMeqc3hnokOj2ZFnZ8Z7U9LS3L5uIMh8VkK4igRWfqJ+cp1w\njLSdc6T9jomPh6IiKCy0f5+k/CS/mCh0YnQ0q4uKKK6qcvuxHCHnn3XSdt4hgZUQQthJKejTx/4p\nFwD6depXtyCzJbV5VtXV1suwQ0RQEKMiI1l65IhbjyPEiU4CKz8hV3ZYJ23nHGm/hvr0cWw48IJp\nF7Am24keq65dzW3DButl2MkXZ2GX8886aTvvkMBKCCEc4Gie1cj4kazLXkdVjRNDbB4aDpQ8KyGc\nJ4GVn5Cxcuuk7Zwj7ddQv36wbZv9269ftZ74yHjnpl2YONEjCexDwsMpqalhR2mp249lLzn/rJO2\n8w4JrIQQwgEpKbBlS+vb1TcqYZRzeVYTJpg5HtycZ6WUYkpMDF/46PI2QvgDmcdKCCEcUFBw7OrA\nADu/mj7x/RPsyNvB09Oetn7ggQPh9ddh5EjrZdhhYU4O83Nz+XjwYLceRwhfJ/NYCSGEB0RFmWVt\n9u61f59RCaNYneVEjxV4bD6r02JjST9yhAo3z/YuxIlKAis/IWPl1knbOUfa73gDBsBmOxfuSk9P\nZ3jX4WzM3UhFdYX1g3oogb1jcDApYWGsLChw+7HsIeefddJ23iGBlRBCOMiRwAogvF04vWN780vO\nL9YPOmECrFgBHpjAU64OFMI6Caz8hMxHYp20nXOk/Y7nSGBV236p8anOzcDepQt07w7r1lkvw06+\nNJ+VnH/WSdt5hwRWQgjhIEd7rABGxbsoz8oDwzujIyPZU15Odnm5248lxIlGAis/IWPl1knbOUfa\n73gpKSawsudC59r2GxU/yrkeK/DYfFZBAQGcGhPDlz4w7YKcf9ZJ23mHBFZCCOGgjh0hLAz277d/\nnyFxQ9h+eDullU5MvjlhAqxc6Zk8q5gYybMSwgKZx0oIISyYNAn+9jeYPNn+fVJfSOU/p/+HU3qc\nYv3AQ4bASy/B6NHWy7DDvqNHGb5mDTljxxKoHJ7KRwi/J/NYCSGEB1nJsxrTfQzf7/veuQN7aD6r\nHqGhxLVrx9qiIrcfS4gTiQRWfkLGyq2TtnOOtF/TBgyAjRtb365++43tMZYV+1Y4d2APJbCDb1wd\nKOefddJ23iGBlRBCWDBkCPzi4LRUYxPHsnLvSpxKi6jNs/LAFXsyn5UQjpMcKyGEsKCgABISzM/A\nQPv3S3wikSWXLKFvx77WDz56NPz736b3yo2OVlfT5bvv2DNmDDHBwW49lhC+RnKshBDCg6KioFMn\n2LXLsf3GJo5l5b6Vzh188mT48kvnyrBDaGAgY6OiWOID0y4I4S8ksPITMlZunbSdc6T9mjdkCPz8\nc8vbNG6/sT3McKBTPBRYgS3PyouBlZx/1knbeYcEVkIIYZGlPCtXJLCPGQO//goHDzpXjh2mxMTw\nRV6ec3lhQrQhkmMlhBAWvfMOLFwI779v/z5VNVXEPhzL7pt20zGso/WDn3UWzJwJF15ovQw7aK3p\nuWoVnw4ZwoDwcLceSwhfIjlWQgjhYfYMBTYWFBDEmO5j+G7fd84d3EPDgUoppvjAtAtC+AsJrPyE\njJVbJ23nHGm/5vXpA9nZUFzc/DZNtd/YHi5MYPfASMBUL067IOefddJ23iGBlRBCWBQUZBZktmei\n0PpccmVg376mAlu2OFeOHSbFxPBdYSFl1dVuP5YQ/k5yrIQQwgmXX25yya+6yv59isqL6PpYV/Ju\nzSMkKMT6wa+6ykwB/6c/WS/DTuPXreOOxESmdnQiL0wIPyI5VkII4QVDh8L69Y7tExkSSf9O/Vmd\ntdq5g3tw2oUpXp52QQh/IYGVn5Cxcuuk7Zwj7deyESPgp5+af7259ktLSiM9o+nX7DZpEnz7rUeW\nt/FWnpWcf9ZJ23mHBFZCCOGE4cPNXFZVVY7tN7HnRJZmLHXu4LGxMHCgWTvQzYZHRHC4spI9R4+6\n/VhC+DPJsRJCCCelpMDbb5vpF+xVcLSAhMcTOHzrYefyrO66Cyoq4F//sl6GnWZt3sz46Giuio93\n+7GE8DbJsRJCCC9pbTiwKVGhUaR0TuGH/T84d/DJk+Hzz50rw04yn5UQrZPAyk/IWLl10nbOkfZr\n3ciRsHZt06+11H4TkyeydLeTw4FjxsC+fZCZ6Vw5dpgcG8s3R45QWVPj9mPVkvPPOmk775DASggh\nnNRSYNWSickuyLMKCoKpU2HxYufKsUNcu3b0Cg3lu8JCtx9LCH8lOVZCCOGkggJISDA/AwPt36+o\nvIhuj3Xj4C0HaR/c3noFFiyA+fNh0SLrZdjp3owMjlRV8XifPm4/lhDe5LYcK6XUVKXUVqXUr0qp\n21rYbpRSqkopdY6jlRBCCH8WFQXx8bB1q2P7RYZEMjhuMN9nfu9cBaZMgWXLoKzMuXLsML1TJz48\ndAj5oixE01oMrJRSgcBTwFRgAHCRUiqlme0eBj4HHI7uROtkrNw6aTvnSPvZp7nhwNbazyV5VrGx\nZt6HpU6WY4ch4eFoYGNJiduPBXL+OUPazjta67EaDezQWmdorSuBhcD0Jra7AfgfcNDF9RNCCL+Q\nmlay8i8AACAASURBVAqrLUyk7pI8K4Bp0+CTT5wvpxVKKaZ37MiHhw65/VhC+KMWc6yUUucBU7TW\nV9oezwJ+o7W+od42CcCbwCTgZWCR1vr9JsqSHCshxAnru+/gxhthzRrH9iutLKXLI13I+WsO4e3C\nrVdg82aTxL5nDyj3Dhyk5+fz1507WZOa6tbjCOFN7sqxsicSehL4my1qUshQoBCiDRo+HLZsgdJS\nx/YLCw4jNT6VZXuWOVeBlBRzheAvvzhXjh3GRUWRcfQo+2QWdiGOE9TK6/uBHvUe9wAaT5YyElio\nzDekTsDpSqlKrfXHjQubM2cOycnJAERHRzNs2DDS0tKAY2PB8rjpx08++aS0l8XH9fMMfKE+/vZY\n2s/+xwMHprF2LVRXH3vdnvY7qegkXnr/Jc647Qzn6nPmmbB4Mem2STzd9fuuWL6ckXv28HHPnlyX\nkCDnn48+rn3OV+rj649r72dkZOCM1oYCg4BtwO+ALOBH4CKt9ZZmtn8FGQp0i/T09LqTQDhG2s45\n0n72u+km6N4dbrnl2HP2tN/6A+s5/93z2X7Dducq8OWXcPfd8L2TVxna4f2DB3k2K4uvhg5163Hk\n/LNO2s45VocCW53HSil1Oma4LxCYp7V+SCl1NYDW+vlG20pgJYRosxYsgHffhfeP+w/YMq018Y/H\ns+KyFfSO7W29AhUV0LWrGQ5MSLBejh1Kqqvp9t137B0zhujgYLceSwhvcNs8Vlrrz7TW/bTWfbTW\nD9mee75xUGV7/rKmgiohhGgLxowxnUWOfodUSjG1z1Q+3+Hkmn/t2sGZZ8KHHzpXjh3CAwOZEB3N\np7J2oBANtBpYCd9QfwxYOEbazjnSfvZLToaaGrN0Xy17229q76l8vtMFiymfc47jXWYWnW2bLNSd\n5PyzTtrOOySwEkIIF1EKTj7ZWorTqb1OZVnGMsqryp2rxOTJZs4HD8wzdWbHjnyZl8fR6mq3H0sI\nfyFrBQohhAs98oiZSuqppxzf9+R5J3PfxPs4tdepzlXivPPMhKGXXeZcOXYYv24dt/Towe87dXL7\nsYTwJLflWAkhhLDfhAlm2T4rpvZ2QZ4VeHQ48IIuXXjnoCy6IUQtCaz8hIyVWydt5xxpP8eMGGF6\nrGpH4hxpv9P7nu6awOrMM010V1TkfFmtOLdTJz45fNhtw4Fy/lknbecdElgJIYQLBQXBKafAt986\nvu/IbiPJKckh40iGc5Xo0AF++1v49FPnyrFD15AQhkVE8EV+vtuPJYQ/kBwrIYRwsQcfhIMH4Ykn\nHN/38o8uZ0jcEP405k/OVWLePPj8czOxlps9u38/KwoKeGvAALcfSwhPkRwrIYTwEc7kWc3oP4MP\ntn7gfCVmzDAzsRcWOl9WK87p3JnFhw9TJlcHCiGBlb+QsXLrpO2cI+3nuFGj4Ndf4cgRx9vvtN6n\nsf7Aeg6WOJkQHhsLaWkemSw0rl07RkZG8rkbJguV8886aTvvkMBKCCFcrF07GD0aVqxwfN/QoFAm\n957Mx9uOW8fecTNnwvz5zpdjh/Pl6kAhAMmxEkIIt3jwQcjNhSefdHzf+b/MZ/4v8/lk5ifOVaK0\nFOLjYft26NLFubJacbCigr4//MD+U04hPDDQrccSwhMkx0oIIXzI5MkmxcmKaX2nsXzPcorKnZwu\nISzMTL3ggQT2zu3acXJUFB95YMZ3IXyZBFZ+QsbKrZO2c460nzXDh5seq3feSXd436jQKE7pcQqf\n7fjM+Yp4cDhwdlwcb+TkuLRMOf+sk7bzDgmshBDCDQID4bTTYPVqa/u77OrA004zQ4EZGc6X1Yqz\nO3ViVWEhB8qdXO9QCD8mOVZCCOEmr7xippJ6+23H9z1QfICUp1PIvjmb0KBQ5ypyzTWQmAi33+5c\nOXaYs2ULQyMi+HOPHm4/lhDuJDlWQgjhY047Db7+GqxM79Q1oivDug7j019dMHv67Nnw6qvggS+3\ns7t2dflwoBD+RAIrPyFj5dZJ2zlH2s+67t2hQ4d01q61tv+swbN465e3nK/IySdDQACsXOl8Wa1I\ni44mt6KCTSUlLilPzj/rpO28QwIrIYRwo9GjYfFia/ueO+Bcvt71NfllTq7DpxTMnWuWuXGzQKW4\nOC6ONw4ccPuxhPBFkmMlhBBu9O23cOONsG6dtf3PfedcTu9zOleMuMK5iuTkQL9+sHevWaTZjTYW\nFzP155/Zc/LJBCqHU1SE8AmSYyWEED7olFMgMxP27LG2/8WDL3bNcGBcHEycaC2T3kGDIiKIDwnh\nCzcscSOEr5PAyk/IWLl10nbOkfZzzrffpjNtGixaZG3/M/qewc85P5NZmOl8ZebOhZdfdr4cO1zZ\nrRsvZmc7XY6cf9ZJ23mHBFZCCOFm06fDRx9Z2zc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"text": [ "" ] } ], "prompt_number": 91 }, { "cell_type": "code", "collapsed": false, "input": [ "orders = [2,3,4,6]\n", "\n", "for order in orders:\n", " b, a = cheby1(order, 2, 0.6)\n", " frq, resp = freqz(b,a)\n", " plot(frq, abs(resp))\n", "\n", "\n", "legend(orders)\n", "title('Different orders for a Chebyshev I filter')\n", "grid()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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ZQlsnJ7b37k1fZ+diz1mzZg09mvdg+rXTiXoyio+HfczhpMP0+rIXV31/FV9u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\n/NQwJobVhw6R5Ut5Q4cOMHmyX+3f0fEO3vj9DTIOZQTYw8B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"text": [ "" ] } ], "prompt_number": 92 }, { "cell_type": "code", "collapsed": false, "input": [ "from scipy.signal import cheby2\n", "\n", "ripples = [12, 15, 20, 40]\n", "\n", "for ripple in ripples:\n", " b, a = cheby2(4, ripple, 0.6)\n", " frq, resp = freqz(b,a)\n", " plot(frq, abs(resp))\n", "\n", "legend(ripples)\n", "title('Different ripple values for a Chebyshev II filter')\n", "grid()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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TguPH2yUZahr92a0azZ/3/JI7Ed88qiAvL4/Jkyczbdo0OnbsSE5ODg0bNjyp\nTcOGDTly5EiVXsdT2rFStVYdh4PXunShfVQUI1eu5KiOXJXWogXMmgVPPQUvv1zpw0WE2SNm4xAH\nf5n/lzLbXXMNdOtm7zuolAohxvjm4SWn08nUqVOJjIzkySefBKBBgwZkZ2ef1C4rK4toP92NQ2us\nVK3nNIZL1q3jQF4eH3brRh2tuSpt/Xq78NSrr8LZZ1f68OwT2fR7rh8zU2ZycfeL3bY5fBj69oX7\n7oOLLqpivEopnwjmGitjDJdeeinbt2/n008/pW7dugA8//zzvPrqq0U1Vjk5OTRr1kxrrJTyF4cI\nL3XqhACXrl+vnxZ0p1Mnu6rn1KmwYUOlD29YtyHvXvAuN86/kXWZ69y2iY62a1zdeCPs3VvVgJVS\nNd0111zDunXrmDdvXlGnCmDcuHGsXr2a999/n+PHj3PvvffSq1cvt52q6qAdqxChdQbe8yR3dRwO\n3jnlFNKOH+e2LVuqP6gQUpS/M86ABx6A886DEsPsnujZsicPDn2Qi967iNyCXLdt+vWDadPgz3/2\nPt5goz+7VaP5815Nzt22bdt47rnnWLFiBS1btiQ6Opro6GjmzJlD06ZNmTt3LnfeeSeNGzdm6dKl\nvOXHFYm1Y6WUS72wMOZ168aHmZm8umdPoMMJTldcYacEr7rKq7qIK/pcQZuGbXjom4fKbDNzJvz6\nK8yb532YSqmaLSEhAafTydGjRzl8+HDRY9KkSQAMGzaMtWvXcvToUb766ivi4+P9FpvWWClVwtqc\nHM5cvpx53boxMCYm0OEEn2PH4NRT4frr4corK314+uF0ej3Ti8+nfE7vVr3dtvnyS9t3++03KDbC\nr5Tys2CusfIVrbFSqpp1qV+flzp1YsKaNew6cSLQ4QSfqCh45x24805Y575eqjyto1vzj+H/4PKP\nL6fA6f6TmGedBaecYu8JrZRSoUQ7ViGiJs+VVzdvcndu06ZcFxfHBWvWkOd0+j6oEOI2f50724VD\nL7kEvFgD7E89/0T9OvV5YdkLZbaZNQsefTT0C9n1Z7dqNH/e09wFhnaslCrD3+LjaRgWxsy0tECH\nEpyuvhoaNPBq8VAR4clRT3J36t3sP7rfbZuOHeHii+HBB6saqFJK+Y/WWClVjozcXHovXcrrXbow\nrFGjQIcTfLZts4tPLVlil2SopBs+u4F8Zz5Pj37a7f49e6BrV1izxi4Er5TyL62xqnyNlXaslKrA\nFwcOMG39JzLSAAAgAElEQVTdOn7t14/mERGBDif4PPYYfPopfPFFpW9Nsf/ofjo92YnvL/ueDk06\nuG1z883gdMLs2b4IVilVGdqx0uL1Gkvnyr1X1dwNb9yYqS1acMX69TX+Pxh3KszfDTfAvn3gxTox\nTeo14aaBNzFj0Ywy29x6K7z2GuzeXenTBwX92a0azZ/3NHeBoR0rpTxwb1ISm48dY06oV1JXh/Bw\neOYZuOUWe1+aSvrLwL+weNtilu1e5nZ/y5Z2wffHH69qoEopVf10KlApDy3Nzmb0qlWs7N+fFjol\nWNrUqZCYCPffX+lDn/zpST7f/DkfT/rY7f4tW2DAAEhLs/XySin/0KlAnQpUqtr0a9iQS1u14toN\nG2r8fzReeeghePpp2LGj0ode1vsylqYvZcWeFW73JyfbO+q89lpVg1RK1TQbN24kMjKSqVOnFj23\ncOFCOnfuTP369Rk6dCjbt2/3WzwVdqxEZISIrBORjSJym5v9TUVkvogsF5HVIjKtWiKt5XSu3Hu+\nzN09CQmsPXqU9/bt89k5g53H+WvbFq65Bu64o9KvEVUnipsH3szDSx4us81NN9kC9lBbVkx/dqtG\n8+e92pK76667jgEDBiCuD89kZmYyYcIEHnzwQQ4ePEi/fv2YOHGi3+Ipt2MlImHAk8AIoCswSUS6\nlGh2PfCrMaYXkAL8U0TCqyFWpQIuMiyMFzp14qZNm8j2YmHMGu+222DBArs+QiVd3e9qvtzyJRv3\nb3S7/7TToGFDmD+/qkEqpWqKt956i0aNGjFs2LCimYT333+fbt26MWHCBCIiIpg5cyYrVqxgw4YN\nfompohGrAcAmY0yaMSYPeAsYU6LNbqCh698Ngf3GGP2N42MpKSmBDiFk+Tp3f4iJ4ezGjWvNwqGV\nyl90tF0f4d57K/060XWjubbftcz6bpbb/SJ2QOz55yt96oDSn92q0fx5r6bnLjs7m3vuuYfHH3/8\npPKMNWvW0LNnz6LtevXq0b59e1avXu2XuCoaWYoDihdM7AROLdHmeeArEUkHooELfReeUsHpkeRk\nTvn5Z6a1bEkPraY+2XXXQfv2sGoVdO9eqUOv7X8tnZ/qzN/P+juNoxqX2j9xov3w4Z499tOCSqnA\nEh9NNxovOoEzZszg8ssvp3Xr1ohI0VRgTk4OzZo1O6ltw4YNOXLkiC9CrVBFHStPKnTvAJYbY1JE\npB3whYj0NMaU+tz1tGnTSExMBCA2NpZevXoV9agL54J12/327NmzNV9ebhevM/DV+dd89x1TMjO5\nJiqKb3r3ZvHXXwfN+/X1dqXz16ABqePGwfXXk+LKS2Ve77yO53H7C7czqfskt/snTIC7707l4ouD\nIz8VbVfH9VebtjV/3m8XPlfV85XHmw6RLyxfvpyFCxfy66+/2jiMKRq1atCgAdnZ2Se1z8rKIjo6\nuszzFb7n1NRU0qo6G1EYjLsHMBCYX2z7duC2Em0+BQYX214I9HNzLqO8t2jRokCHELKqK3f5Tqfp\nv3SpeWX37mo5f7DwKn9HjhjTsqUxy5dX+tClu5aa+MfjTV5Bntv9339vTPv2xjidlQ8rEPRnt2o0\nf97zRe6C9Xf37NmzTf369U3Lli1Ny5YtTYMGDUxUVJTp06ePee6558zgwYOL2h45csRERUWZ9evX\nuz1XWe/R9Xy5/SR3j3LXsXIVoa8HhgHpwE/AJGPM2mJtHgOyjDH3ikgL4BeghzHmQIlzmfJeS6lQ\n9ENWFuevWcP6U0+lflhYoMMJLo89Bt9+C++/X+lDB780mJsH3syErhNK7TPGzjA+9RSceaYvAlVK\nlSVY17E6duwYh10LEhtjmDVrFmlpaTzzzDMYY2jfvj0vvfQSo0aN4u677+bbb7/lu+++c3suv65j\nZWwR+vXA58BvwNvGmLUicpWIXOVq9hDQT0RWAF8Ct5bsVClVUw2MieH02FhmebF2U4139dXwzTfg\nxSdxrut/Hc/+8qzbfSJ2LdI336xqgEqpUBUVFUXz5s1p3rw5LVq0oEGDBkRFRdGkSROaNm3K3Llz\nufPOO2ncuDFLly7lLS9uueUtXXk9RKSmpno0361Kq+7cpR07Rt9ffmFV//60rlu32l4nUKqUv7vu\ngv374T//qdRhx/OP0+axNvx8xc8kNUoqtX/bNujbF9LTISLCu9D8RX92q0bz5z1f5C5YR6x8SVde\nVyrIJEZFcUWrVty1dWugQwk+119vb86cmVmpwyLDI5ncfTIvL3/Z7f6EBOjUCb74whdBKqWU7+iI\nlVI+kJWfT6cff2R+jx70KueTJ7XSZZfZewjOmFGpw1ZmrGTUf0eR9pc0wh2lP8D81FPw/ffwxhs+\nilMpVYqOWOmIlVIBERMezp0JCTpq5c7NN9te0PHjlTqsR4sexDWM4/NNn7vdf8EF8MkncPSoL4JU\nSinf0I5ViCi+LomqHH/l7srWrVmVk8N3WVl+eT1/qXL+TjkF+vSB//630odO7zWd11a+5nZf8+Yw\nYAB8+mnVwqtu+rNbNZo/72nuAkM7Vkr5SF2Hg3sSE7ljy5YaP3ReaTffDP/6l10roRIu6HoB8zfN\nJ/tEttv948bBhx/6IkCllPINrbFSyofynU5O+flnnuzQgeGNS9+SpdYyBjp3hpdfhj/8oVKHjn1r\nLGM7j2Var2ml9qWnQ7dukJEBder4KFalVBGtsdIaK6UCKtzh4L6kJO7curXG/2dUKSJw1VXwzDOV\nPnRKjym8sdJ9hXrr1tCxI7junKOUqgaF9+GrqQ9f045ViNC5cu/5O3cXNGtGrtPJvP37/fq61cVn\n+bvkEpg3z65rVQnndjyXZbuXsSt7l9v9Y8fCBx/4IsDqoT+7VaP5854vcufNLV1C8eFL2rFSyscc\nItyflMRdW7dSoKNWv2vSBM47D159tVKHRYZHMq7zON5e87bb/ePGwUcfgdPpiyCVUqpqtMZKqWpg\njGHQsmXc1LYtE5s3D3Q4wWPJEpg+Hdavt9ODHvps42c88M0DLLl0idv9XbrAa69B//6+ClQpVdtp\njZVSQUREuDsxkQe2bcOpf1D87g9/gLp1YdGiSh02LHkYa/etJf1wutv9o0bBZ5/5IkCllKoa7ViF\nCK0z8F6gcjeycWMiRJhXydu5BBuf5k/E3pz5Wfc3WC5LRFgE53Y8lw/Wui+mGjkyeDtW+rNbNZo/\n72nuAkM7VkpVExHhroQE7t+2TT8hWNykSTB/Phw8WKnDJnSZwHtr33O77/TT4bffKl0Xr5RSPqc1\nVkpVI6cx9Fy6lEeTkxnZpEmgwwkeF14IQ4fa0SsPHcs7Rqt/tmLjnzfSrH6zUvv/+EfbZ5s0yZeB\nKqVqK62xUioIOXTUyr1LLqn0pwOj6kRxTvtz+HCd+6XWg3k6UClVe2jHKkToXLn3Ap2785s140Be\nHl8dOhTQOLxVLfk75xxIS7OfDqyECV0mMHftXLf7Ro6Ezz8PvmUXAn39hTrNn/c0d4GhHSulqlmY\nCHckJPDAtm2BDiV4hIfD5MmVHrUa1WEU3+34joPHStdnJSZC48bw668+ilEppbygNVZK+UG+00nH\nn37ijS5d+ENMTKDDCQ6rVtl1EtLSICzM48PGvjWWCV0mMLXn1FL7rr8e4uPh1lt9GKdSqlbSGiul\ngli4w8Etbdvy6PbtgQ4leHTvDs2bw1dfVeqwczuey/82/s/tvmHDYOFCXwSnlFLe0Y5ViNC5cu8F\nS+6mt2zJ99nZrM3JCXQolVKt+bvkErtkeiWM6jCKzzd/Tl5BXql9KSnw3Xdw4oSP4vOBYLn+QpXm\nz3uau8DQjpVSfhIVFsb1cXHM2rEj0KEEj4kT4eOP4ehRjw9pHd2a5EbJfLfju1L7GjWCzp3hhx98\nGaRSSnlOa6yU8qP9eXl0+PFHVvXvT1zduoEOJzgMHw5XXQXnn+/xIXcvupvj+cd5dPijpfb97W8Q\nEQH33efLIJVStY3WWCkVAprUqcOfWrTgXzt3BjqU4DFpEsyZU6lDRncYrXVWSqmgpB2rEKFz5d4L\nttzd1LYtL+7ezaG80jVCwaja8zd+PHz5JWRleXxI/7j+ZB7NZOvBraX2DR4MK1bA4cO+DNJ7wXb9\nhRrNn/c0d4GhHSul/CwhMpJRTZrw7O7dgQ4lOMTGwpAh8KH7FdXdcYiDke1Huh21qlcP+va1RexK\nKeVvWmOlVACsPHKEEStXsuXUU4msxBpONdZbb8Err9ibM3vo3TXv8tLyl/hscun72Nx1l/36wAM+\nik8pVetojZVSIaRHgwb0atCANzIyAh1KcDjvPPtRvn37PD7k7HZns2T7EnJySy9fccYZ8M03vgxQ\nKaU8ox2rEKFz5d4L1tzd2rYt/9ixg4IgH8n1S/7q17ersL/7rseHxETG0Ld1XxalLSq1b9Ag+OWX\n4FjPKlivv1Ch+fOe5i4wKuxYicgIEVknIhtF5LYy2qSIyK8islpEUn0epVI10JmxscSEh/NxZmag\nQwkOEyfCe+9V6pBz2p3DF5u/KPV8dLRdz+rnn30VnFJKeabcGisRCQPWA2cBu4CfgUnGmLXF2sQC\nS4BzjDE7RaSpMabUbwqtsVKqtHf37mX2zp0s6dMn0KEE3rFj0KoVbNhgb3XjgV/Sf2HKB1NYe93a\nUvtuvhmaNYPbb/d1oEqp2qC6aqwGAJuMMWnGmDzgLWBMiTYXA3ONMTsB3HWqlFLujWvalN25uXxX\niaUGaqyoKBg5slKfDuzdqjf7cvaxI6v0avannw6LF/syQKWUqlhFHas4oPj/WDtdzxXXAWgsIotE\nZKmIlL7lvKoynSv3XjDnLtzh4OY2bYL6Njd+zd+ECZWaDnSIg7OSz+KLLaWnA087Db7/HgoKfBlg\n5QXz9RcKNH/e09wFRngF+z2Zu6sD9AGGAfWA70XkB2PMxpINp02bRmJiIgCxsbH06tWLlJQU4PcL\nQLfdby9fvjyo4tFt321Pb9WKOz/4gNd37mTqiBEBjyeg2yNHwmWXkfrRRxAT49Hxw5OH88a8N0jO\nSi61v3XrFFauhKysIHl/uq3bftwuFCzxBPt24b/T0tKoiopqrAYCM40xI1zbtwNOY8wjxdrcBkQZ\nY2a6tl8A5htj3itxLq2xUqoMM7ZuZV9uLs906hToUALv/PNh9GiYPt2j5tuzttP3ub5k3JKBQxwn\n7bvqKujaFW68sToCVUrVZNVVY7UU6CAiiSISAUwE5pVo8xFwmoiEiUg94FTgt8oGolRtdn1cHG/v\n28fe3NxAhxJ4559fqenA+Jh4mkQ1Yfme5aX26XpWSil/K7djZYzJB64HPsd2lt42xqwVkatE5CpX\nm3XAfGAl8CPwvDFGO1Y+VnJoV3kuFHLXIiKCC5s146lduwIdSil+z9/o0bY3dOiQx4ec3e5sFmxe\nUOr500+3pwrkYHkoXH/BTPPnPc1dYFQ0YoUx5jNjTCdjTHtjzN9dzz1rjHm2WJtZxphTjDHdjTFP\nVGfAStVUN7dty3/S0zka6GrrQIuOtvcO/Phjjw8ZnjzcbQF7fDzUrQubNvkyQKWUKpveK1CpIDJ2\n1SqGN27MdXElP3xby7z+Osyd6/HSC4dPHKb1Y63JuCWDenXqnbRv4kQ491yYqp9XVkpVgt4rUKka\n4P/i43ksBG5zU+3OOw8WLYLDhz1qHl03ml4te/HNttIFVQMH2mUXlFLKH7RjFSJ0rtx7oZS7wTEx\ntIiI4INK3Iy4ugUkf7GxMHgwfPKJx4cMTRxa5n0Df/jBl8FVTihdf8FI8+c9zV1gaMdKqSBzi+vm\nzLV+6nz8+Eqtwj4kaYjbjlXv3rB+PeTk+DI4pZRyT2uslAoyBcbQ+aefeKlTJ06PjQ10OIGTkQGd\nOtmvdetW2Px4/nGaPtqUXTfvIiYy5qR9gwbBww/DmWdWV7BKqZpGa6yUqiHCRPhrmzb8I4hvc+MX\nLVpA9+7w1VceNY8Mj+TUNqfyzfbSdVaDBmmdlVLKP7RjFSJ0rtx7oZi7S1q25MfsbNYGwfxVQPM3\ndmylpgOHJg7lq62lO2KBLGAPxesvmGj+vKe5CwztWCkVhKLCwrg2Lo5/1vZRqzFj4KOPwOn0qHlZ\ndVaFBexajaCUqm5aY6VUkMrMzaXDTz+xtn9/WnpQY1Rjde8Ozz1ne0cVyCvIo8mjTdh641aa1GtS\n9Lwx0KaNXYU9Obk6g1VK1RRaY6VUDdM0IoKLmzfn30F4mxu/GjsWPvjAo6Z1wuowOH4wX2/7+qTn\nRbTOSinlH9qxChE6V+69UM7dTW3a8Gx6Okfy8wMWQ8DzV9ix8nDEe2jiUBZtDZ71rAKevxCn+fOe\n5i4wtGOlVBBrX68eKbGxvLRnT6BDCZw+feD4cVi71qPmQ5KG8FVacBWwK6VqD62xUirI/ZidzUW/\n/cbGAQMId9TSv4X+/Gdo1QruuKPCpgXOApr+oynrrltHiwYtip4/fhwaN4b9+yEqqjqDVUrVBFpj\npVQNdWrDhrSpW5f3gug2N343bpzHyy6EOcI4I+GMUp8OjIyELl1g+fLqCFAppSztWIUInSv3Xk3I\n3f8F8DY3QZG/00+HzZth506Pmg9JHOK2zmrAAPjpJ18HV76gyF8I0/x5T3MXGNqxUioEnNukCTkF\nBaQeOhToUAKjTh0YPRrmzfOo+dCkoW7rrPr3h59/9nVwSin1O62xUipEPJ+ezgeZmXzao0egQwmM\n99+HZ56BBQsqbOo0TlrMasGyK5fRNqZt0fOrV9t7O2/YUJ2BKqVqAq2xUqqGm9qiBb8eOcLqI0cC\nHUpgnHOOXS/Bg1E7hzg4M+HMUutZdekCu3fDwYPVFaRSqrbTjlWI0Lly79WU3EWGhXF9XBz/9LDO\nyFeCJn/160NKCnz6qUfNUxJTSE1LPem5sDC7esPSpb4PryxBk78QpfnznuYuMLRjpVQIuaZ1az7K\nzGTXiROBDiUwKrEK+5BE9/cN1DorpVR10horpULMDRs3EuVw8Ei7doEOxf/27YP27SEjw66fUA5j\nDC1mtWDplUuJj4kvev6dd2DOHI/7Z0qpWkprrJSqJW5q04YXdu8mO4C3uQmYZs2gVy9YuLDCpiLC\nmYlnlpoO7N/f/0suKKVqD+1YhQidK/deTctdUlQUwxs14oXdu/3yekGXv7FjPV4sdEjikFIdq8RE\nyM0Ff93bOujyF2I0f97T3AWGdqyUCkH/Fx/PYzt2cLygINCh+N+YMXY9Kw/eu7sCdhGts1JKVR+t\nsVIqRI1euZJzmzThmri4QIfifz17wtNPw+DB5TYzxtDyny356fKfSIhNKHp+5kzIy4MHH6zmOJVS\nIUtrrJSqZWYkJPDw9u3kOp2BDsX/PJwOFBG3o1ZaZ6WUqi7asQoROlfuvZqau4ExMXSqV4/X9uyp\n1tcJyvwVLrvgwSh4SkIKqdtST3quf3+7lpU/+qRBmb8QovnznuYuMLRjpVQIm5GQwEPbt5NX20at\nevWyc3lr1lTYNCUxpdQNmZs3h5gY2LSpugJUStVWFXasRGSEiKwTkY0icls57fqLSL6IjPdtiAog\nJSUl0CGErJqcu9NjY0mIjOTNvXur7TWCMn8iMG6cR4tRdW7ameP5x0k7lHbS8wMG+KeAPSjzF0I0\nf97T3AVGuR0rEQkDngRGAF2BSSLSpYx2jwDzgUoXeimlvDcjIYEHt22joLZ9OGT8eHtj5gponZVS\nyp8qGrEaAGwyxqQZY/KAt4Axbtr9GXgP2Ofj+JSLzpV7r6bnbkhsLM3r1OHtahq1Ctr8DR4M6emw\nZUuFTVMSU0rd3sZfSy4Ebf5ChObPe5q7wKioYxUH7Ci2vdP1XBERicN2tv7jeqqW/dmsVGCJCDMS\nE3lw2zactWnUKizMrmnlwXRg4UKhxZd86dsXVq60pVpKKeUr4RXs9+R/6dnA34wxRkSEcqYCp02b\nRmJiIgCxsbH06tWraA64sGet2+63C58LlnhCaTslJSWo4qmO7YgVK3Bu2MDcxEQuaN689uRv/Hh4\n4AFS+/Ytt336qnQOrz9M2qE0kholFe1PSEhh9WrIyqq+eIM6fyGwrfnTbX9tF/47LS2Nqih3gVAR\nGQjMNMaMcG3fDjiNMY8Ua7OF3ztTTYGjwBXGmHklzqULhCpVjT7dv59bN29mRf/+hEktKXXMzYWW\nLe2nA1u1KrfpxXMv5qzks7i096VFz02fDoMGwZVXVnegSqlQU10LhC4FOohIoohEABOBkzpMxphk\nY0ySMSYJW2d1TclOlaq64j1qVTm1JXcjGzcmJjycORkZPj1vUOcvIgJGjoSPPqqwaaAK2IM6fyFA\n8+c9zV1glNuxMsbkA9cDnwO/AW8bY9aKyFUicpU/AlRKeUZEeCg5mXvS0mrXulYefjqwsIC9+Mj5\ngAH6yUCllG/pvQKVqmHOXrGCCc2acVXr1oEOxT9ycuw0YFoaNG5cZjNjDG0eb8PiaYtp17gdYGcS\nGzWCvXuhfn0/xauUCgl6r0ClFAAPJiVxf1oaxwoKAh2Kf9SvD8OGwSeflNvM3XpWERHQrRv8+ms1\nx6iUqjW0YxUidK7ce7Utd/0bNmRAw4Y8nZ7uk/OFRP48nQ5MKL2eVXVPB4ZE/oKY5s97mrvA0I6V\nUjXQ/UlJPLp9O9n5+YEOxT/OPRe++gqOHCm32ZCk0utZ6QrsSilf0horpWqoqWvX0i4ykplJSYEO\nxT/OOQeuuALOP7/MJsYY2j7eltRpqbRv3B6Adetg9GjYvNlfgSqlQoHWWCmlTnJ/YiL/3rWL9BMn\nAh2Kf3hwU+bCOqtFW3+fDuzYEfbvh8zM6g5QKVUbaMcqROhcufdqa+4So6K4vFUrZmzdWqXzhEz+\nxoyBTz+FCjqSQxKHkLottWjb4bC3t6mu+waGTP6ClObPe5q7wNCOlVI12B0JCfxv/35WVFB7VCO0\namU/4vfFF+U2K/xkYMn1rPxxQ2alVM2nNVZK1XBP79rFB5mZLOjRA6npt7r5979tJfrrr5fZxBhD\n/Ox4Fv5pIR2bdATsDOKLL1a4YoNSqhbRGiullFtXtmrFzhMn+OzAgUCHUv3OP9/2jo4fL7OJiNjp\nwGLrWRV+MlD/9lNKVZV2rEKEzpV7r7bnLtzh4B/JydyyeTP5XtzqJqTy16oV9OoF8+eX26zw9jaF\n4uIgPBy2b/d9SCGVvyCk+fOe5i4wtGOlVC0wukkTWkVE8Ozu3YEOpfpdeCG8/Xa5TUrWWYnofQOV\nUr6hNVZK1RKrjxxh6IoVrO7fn+YREYEOp/rs3WvXUEhPh3r13DYxxpD4r0QWTFlAp6adAHjwQTh0\nCP7xD38Gq5QKVlpjpZQqV7cGDZjaogV/27Il0KFUr+bNbdHUp5+W2aRoPati04H6yUCllC9oxypE\n6Fy59zR3v5uZmMiCAwdYkpXl8TEhmb+JEyucDixZwN6vH/zyC/j63tUhmb8govnznuYuMLRjpVQt\nEh0ezqx27bhuwwavCtlDxrhxsGBBufcOLFln1aiRrX1fu9ZfQSqlaiKtsVKqljHGMGzFCsY2bcoN\nbdoEOpzqM3IkXHIJXHRRmU0SZyfy2eTP6NKsCwBTpsCwYTB9ur+CVEoFK62xUkp5RER4qkMH7t+2\njT01+T6CnkwHJrlfz0oppbylHasQoXPl3tPcldalfn0ub9WKP2/aVGHbkM3f2LHw1VdQTj1ZSkLK\nSfcNrI4lF0I2f0FC8+c9zV1gaMdKqVrq7oQEVh05wtx9+wIdSvWIjYWhQ2Hu3DKbDEkawqKti3Aa\nW2/WqxesW1fuwu1KKVUurbFSqhZbkpXFBWvWsKp/f5rUqRPocHxv7lx46ik7clWGjv/uyDsXvEOv\nlr0A6NMHnn4aBg70V5BKqWCkNVZKqUobHBPDhc2acZMHU4Ih6dxzYcUK2LGjzCZntzubBZsXFG3r\nCuxKqarQjlWI0Lly72nuyvdgcjJLsrL43/79bveHdP7q1rU3Zn7zzTKbDE8ezhdbvija9vVCoSGd\nvyCg+fOe5i4wwgMdgFIqsOqHhfF8p05csm4dq/v3Jya8hv23MGUKXHMN3HqrvSlgCUOShjDlgykc\nyztGVJ0oBgyAv/89AHFW0YEDsH69vZPPwYOQn29vLB0bC61bQ+fO0LhxoKNUocAYOHwYMjLsIysL\njh2Do0ft46yzoH37QEcZvLTGSikFwLUbNpCdn88bXbsGOhTfcjqhXTv44ANbne7GaS+dxt1n3s3Z\n7c7G6bSLhW7eDE2b+jnWSjh6FP73P3vnnkWLYP9+6NIF4uJsByo83HauDh2CnTvtwqdRUbaGbNgw\n++jZExw6b1Fr7d8Pv/4Kv/0Gmzb9/tixA8LCoEUL+4iNtbfdjIqyX6+6yl5HNZ23NVbasVJKAXC0\noIB+v/zCHfHxTGnZMtDh+NaMGbYn8s9/ut1939f3kX0im1lnzwJg+HC48UZbohVsNm2yb+Ptt+26\nW+edZ0cQOnYsv5NkjB3N+vFHWLgQvvzSpmTSJJg8GXr0cDugp2qI3FxYuhQWL4bvv7cdqkOH7N8a\n3bpBhw52FKp9e4iPh/r1Ax1x4Gnxeg2nc+Xe09x5pl5YGHO6duWmzZvZfOxY0fM1In9TpsCcOXYI\nx42SdVaDBtlfPr7gq/ylp9sV4QcOhGbNbE3+55/D9dfbab6KRp5E7GjW+PH2g5Lr18P8+XZka8wY\nW1v23//aX8DBpEZcfwFgDLz8ciqPPGJHJ5s0sdfKnj22I/3VV7ZjtXix/RTsTTfZTnqXLtqpqirt\nWCmlivRs0IA74+OZ/Ntv5NWkewl26gQJCbYn4kb/uP5sz9rOniN7AN92rKrK6bQdoZ49oWVLO2J1\n333Qtm3Vz33KKfDQQ7BlC9x9N7z0EiQnw+OP61peoaigwE4LX3cdJCXB7bfbab2bbrJfly2D2bPh\nwgvtyJROA1cPnQpUSp3EaQyjV62ib4MGPJCcHOhwfOeFF2xB0vvvu909/u3xjO8ynik9pnDwoO2H\nHbL/4PsAACAASURBVDhgR3QCJTPT3u5w/37b6fFH+dvy5TBzpp02uusuuOwyqIlLnNUUxtjlQebM\ngXfesZ3vCy+0o09du+r0blVU61SgiIwQkXUislFEbnOzf7KIrBCRlSKyRER6VDYQpVRwcIjwSufO\nvLRnD18eOBDocHxn4kT753xGhtvdw5OHF61n1aiRnTZbvdqfAZ5s1Sro29eOKn3zjX86VWBrbj78\n0PY/33vPjpR9+aV/Xlt5bv9+O/rUrRtMnWqv2a++sqNSf/ubvW60UxUYFXasRCQMeBIYAXQFJolI\nlxLNtgBnGGN6APcDz/k60NpO6wy8p7mrvBYREfy3SxemrF3LWwsWVHxAKIiOhnHj4LXX3O4+p/05\nLNi8oOj2Nr6aDvTm+lu0yNbFPPIIPPpoYEaMBgyAL76wS09ceSVMmGA/Xehv+vN7sp9/tiWD7drZ\nUcX//MfWy91zj621K05zFxiejFgNADYZY9KMMXnAW8CY4g2MMd8bYwrvdPoj0Ma3YSql/G1Io0b8\nX3w8d2/dyrGCgkCH4xuXXQYvvmjnT0pIbpRMbGQsv+7+FbAdqx9+8HeAtgxs4kQ7rXPRRf5//eJE\nbGH7b7/ZTw327m1nVLWqw78KCuwo4hln2PVue/e2dXFvvGGf05Gp4FJhjZWInA+cY4y5wrU9BTjV\nGPPnMtrfAnQ0xlxZ4nmtsVIqxBhjmPTbb0SFhfFSp05IqP8Pboz92NOLL8LgwaV23/z5zcRGxnL3\nmXezerX9BN2GDf4LLzUVLrjA/hJ1E17ArVplP5nYuDE8/7ytQ1PVJz/f3jTggQfsVN9f/2qvyZq2\nhm+wqs4aK497QyIyBLgUKFWHpZQKPSLCi507s/TwYZ5NTw90OFUn8vuolRujO4zm042fArb/lZFh\nC8j9YdUqW3T8zjvB2akC6N7djuINGQL9+sHrrwc6opqpoMDmtmtXe6k++6zN+4UXaqcqFHjyLdoF\nFP9gb1ug1Ey7q2D9eWCEMeaguxNNmzaNxMREAGJjY+nVqxcpKSnA73PBuu1+e/bs2ZovL7eL1xkE\nQzyhtv3zN99w2/Hj/PmHH+gydSpnxsYGVXyV3v7Tn0ht1w7GjyfFtQJo4f7TTz+dtZlr+fCzD4mN\nimXAgBR++AEaNPD+9Ty5/j74IJVrroHZs1MYMiTI8lViOzwcBg1K5eGH4aGHUli4ECZOTCUqSn9+\nq7p9xhkpvP023HprKrGx8Mwz9nr4+utUvv668ucrfC5Y3l+wbxf+Oy0tjSoxxpT7wHa+NgOJQASw\nHOhSok08sAkYWM55jPLeokWLAh1CyNLcVU1h/r48cMA0//Zb89uRI4ENyBcmTjTmX/9yu2vcW+PM\na8tfM8YYM2OGMXfcUbWXquj6y801ZvBg+1qh5sgRY6ZPN6ZTJ2OWL6+e16gtP79LlhgzYIAxffsa\n88UXxjidVT9nbclddXH1WyrsJ5V8eLSOlYiMBGYDYcCLxpi/i8hVrt7SsyLyAjAO2O46JM8YM6DE\nOYwnr6WUCl6v7dnDzLQ0vu/ThxYREYEOx3vffmunBNeuLbVK4gvLXmDh1oXMmTCH+fPtJ/MWLaq+\nUO64w64d9cknobtg43//C3/5i/0E4/TpgY4mtGzbBrfdBkuW2MVaJ08O3eugptF7BSql/OK+tDQ+\n3r+f1F69qB8WFuhwvGOMXbBp1ix7Y8BidmXvosczPci4JYOcw+HExdmFQqujH/nllzBtml17qHnz\nyh+f78xnVcYq1mWuY13mOrZlbSPrRBbZJ7I5kX+CqDpRRIZH0iiyEfEx8cTHxNOhcQd6texFo6hG\nPn0va9fC2LE2nY8/rouKVuTYMduRevppuOEGuOWWwN1K5vCJw+zI3sHenL1kHMmwX3MyOHT8EDl5\nOeTk5nA07yg5eTnkFuRy/5D7GZo0NDDB+pF2rGq41NTUovlgVTmau6opmT9jDJeuX09mXh4fnHIK\n4aH65/Vzz9mV2D/8sNSu3s/25t8j/81p8afRp4+9pcygQd69TFnX36FDdnHHV16xN1H2VPrhdOb+\nf3vnHR5V8TXgd9ILHUKAhEiHEBBpYqiKKAERUMAICIKoFCsIYgOx/kRApQki5QOpClKkSUsA6TUE\nE0IILRRDTUjfZHe+P2aBENKzKQvzPs889+69s/fOnj2be3LmzDkhK9hyZgvbz27Ho5QHPm4+1KtQ\nj2plqlHGqQylHUtjb2tPcmoyiamJ3Ei8QWRMJOdiznHi2gmCooIo71yeJzyfoH319jxd/WlqlK2R\n71WfMTEqx1JMDPzxB7i75+tywIP5+92yBYYMgSZN4IcfwLOAEhSllV2qKZWT108S9F8QIVdDOB19\nmogbEZy+eZo4QxxVS1fF3dUd9xLuauvqTlnnsrjYu+Bq74qrgysu9i442DpQr0I9KrhUKJhBFyPy\naljp9QUajSZXCCGYVacO3Y4fp/+JE/zm7Y2tNaZh6NtXzcOdPw9eXvec6lyrM+vD19PaqzVt2qjM\n53k1rDLjww9V2ZGcGFUmaWJ9+Hqm7p/KgYsH6Fq3K30a9OHX53+lomvuXV0maeLUjVPsOr+LbWe3\nMS5wHCUdS9Krfi961u9JI/dGeTKySpeG1atVSZzmzWHNGuUY1CiuXFEpE3buVMb6c88VzH2MJiMh\nV0NYE7aGBTELCIoKIvRqKB6lPGjk3ggfNx861uxIzWY1qVG2BpVKVLL+VCrFCO2x0mg0eSLRaKRL\ncDCPODkxu25dbKzxD/Pw4eDsrOZk0rA7cjeD1w4meGgwy5crr9LatZa7bUAA9O8P//4LpUpl3k9K\nyYrQFYwNGIuTnRPDnxhOz/o9cbZ3ttxgzPc5eOkgy0OW80fIH9gIG/o92o9BTQbhWSpv7pQ//oBh\nw5TsCsqAsBakVOkTRo1S3/u4cZad9ksxprD/4n62ntnKrshd7LuwD/cS7rSs2pIWHi14rNJjNKjY\ngBIOJSx304cAPRWo0WgKnXijEb9jx2jo6sr02rWt77/e8HCVNOrsWXBxuXPYJE1UmVSFf177h5Ip\ntahXT9Vms8Ssp8Gg8kFNmABdu2beL+i/IIasG0JSahLfPf0dz9Z8tlDkK6Xk8OXDzDkyh6XHl9Lm\nkTYMbjoYv1p+2IjcCWDPHpXQ8rPP4K23CmjAxZwrV1RJoDNnlJHZuLFlrnvqxik2RWxiU8QmAs8G\nUqNsDTrU6EBrr9b4evri5upmmRs9xBRoEWZN0ZM2z4Ymd2jZ5Y+s5Odqa8u6hg05FBvLiIgIrO6f\np9q1oWVLmD//nsM2woZudbux6sQq3N3BzS3vBZnTy2/aNFXnLTOjymA08OnWT3nmt2d4vfHrHHrz\nEB1rdSw0o1UIQdMqTfn5uZ85P/w8Xet0ZWzAWLynezP78GySU5NzfC1fX7Xabdo0GDFCJb7MLdb8\n+125UhWxrl8f9u/Pn1F12+D9bNtn+PzsQ5t5bThw6QD+Pv6cfOckhwcf5vtnvqdr3a53jCprlp01\now0rjUaTL0rZ2bHx0UfZFRPDkJMnMVqbcTVqFEyadN9T/wXvF1h5YiWg6rHt3Jn/W129qmYdJ03K\n+PyZm2doM68Nx64c49jQYwxqMijXXiJLUsKhBIOaDOLAGweY1WUWf4b+SfXJ1Rn/z3hik2NzdI0a\nNWD3bpVSokcPtRruQScmBl59VcXRrVihvnNHx9xf5/YU7fCNw6k+uTr+y/0xGA3M6TqHiyMuMq/b\nPHo37J2nODtNwaGnAjUajUWITU2l+/HjVLC35zdvbxysZbWglMpr9cEHqsKtGYPRgPtEd0LfCuXv\nFZXYsAGWLs3frYYNUyVJpky5/1zg2UD8l/vzUauPeP+J94vttOqxqGOM3zWeLae3MLrVaIY2G5qj\nmC+DQeW4ioxUQe1lyhTCYIuA/ftV8eyOHVU2j7zEUp2LPsfCYwtZGLwQg9FA34Z96VW/Fw0qNii2\nevEgomOsNBpNkZNkNNI7NJQkk4kVPj64WEueqz//VJlA9+5V9QTN9FnRh3aPtOOZcoNp3RouXrzn\ndK44c0bV1wsLgwrpVqovCFrAqM2jWNJjidXkBzp+5ThjA8ay/+J+Pmv7Ga81fg0H26yTfZlMar1A\nYCBs3AiVKxfOWAsDKVX+ru++g5kzVWxZbkhOTebP0D+ZdXgWwVHB9Krfi36N+uHr6auNqSJCx1g9\n4Oi58ryjZZc/ciM/J1tb/qhfH3d7ezoEBXHFYCi4gVmSbt1UFtB0830v1FPTgdWrK4Pq9OncX/q2\n/L76SgVwpzeqpu+fzpiAMQS+Gmg1RhVAg4oN+NP/T1b6r2TliZV4T/dmecjyLOPsbGzgp5/A3x9a\nt4aIiOzvYw2/3+vXVczcsmWwb1/ujKpTN07x4eYP8frJizlH5jCs2TAufXCJGV1m0LJqy3wZVdYg\nuwcRbVhpNBqLYmdjw9x69ehQtiwtDh8mOC6uqIeUPba2airw++/vOexXy4/dkbu5lRxzJ59VXggP\nV9Nfw4ffe3zy3slM2jOJwFcD8XbzzuPgi5bmHs35+5W/mdVlFl9u/5Kn5j/F0f+OZtpfCJU+bPRo\nFbt25EghDrYA2LNHBaXXrav0o3r17N8jpWRTxCb8FvrRck5LpJT8M/AftvTfQi+fXtl6/jTFGz0V\nqNFoCozFUVG8f+oUc+rW5fn0rpriRlKSWq63Zg00bXrncJfFXejTsA/RO/tw8CDMnZv7S7/6KtSq\nBWPG3D32f0f/j3GB49gxcAdepb0yf7MVkWpKZfbh2YwLHEfXul35uv3XWQZWr1gBQ4eqnFft2hXi\nQC2AlCp5/5gxMGeOSvaaHQajgSXBS5i0ZxISyYgnRtC7YW+c7JwKfsCaXKNjrDQaTbFk361bvHj8\nOO96ejKqatXinUh06lTYtAn++uvOoblH5rI+fD1fNVxOp04qVio3HyEyUmUfj4i4G7C97uQ6Bq0Z\nROCAQOpVqGfhD1H0RCdF8+X2L/nt2G+MazeOIc2GYGuTcbzdtm0q2HvBAvDzK+SB5pGkJHj7beWt\nWrkS6tTJuv/NxJv8cugXpu6fio+bDx/4flBoeck0eUfHWD3g6LnyvKNllz/yK78WpUqxt0kTVl69\nStfgYK6npFhmYAXBG2+ouamDB+8c6l6vO5tPb6ZK9VsYDLmPs/rgg0AGDLhrVAVHBTNg9QBWv7z6\ngTSqAMo4leGHjj8Q+GogS/9dSsu5LTOdHmzfXpXBefXVDMs2Frvf74ULyrsWHa3WOmRlVN1IvMGY\nbWOoNbUWIVdDWN9nPZv6bSq0vGTFTXYPC7pWoEajKXCqOjmxo3FjPjl9msYHD7Kkfn1alS5d1MO6\nHycn+OgjVXPEXMOmnHM52j3SjtVhq+jQoT9btqgZw5wQHQ0bNkBIiHp9I/EG3Zd156eOP9HCs4Vl\nxiwl3LoFUVEQH3+3paaCg4P6TI6OULIkVKwI5crlfWljLvGp6MP2AduZd2QeHRd25JWGr/DFU1/c\nV1rF11fJqXNnSE5Wwe3Fkd27VUaOd99VMWKZifF6wnV+3PsjMw7O4IV6L3DgjQPUKFujcAebF4xG\npTsJCSrhWPqWmqr6NG36YC3ptDB6KlCj0RQqa69dY1BYGO96ejK6alXsilu+q6QkFRD155/w+OMA\nLAlewoJjC3g5dQPr1sHvv+fsUt99p4yqBQtUmZzOizrj4+bDpI6ZZAjNjkuX1NM9OFi1EyfUXKOU\nUKkSlCihEie5uqqEWQaD+jzJycr4unJFPTjd3KBqVfU5a9dWWx8flSLcoWACp6/GX2Xk5pEEnAlg\naqepdKvX7b4+x4+r/E/ffAMDBhTIMPLM4sXw3nsqSX/nzhn3uZF4g0m7JzHz0ExerPcin7T5hOpl\ncxDNXpAkJCg328WLanvhAly+rFbBXr9+7/bWLVXaydn5/ubkpHTD1hY+/liVgnrA0TFWGo3GaohM\nSuK1sDBiUlOZV68ePpasSGsJpk9XcVYbNwIQb4jH4wcPtvcIp0NLN6Kisq8bmJqqso6vXq1WjU3c\nPZGVJ1ayfcB27GxyOFmQnAybN6uLBAaqh1/Llipoq2FD8PYGLy9VyTmnXqjkZGVgnT8Pp06pJYvh\n4cqqOXNGXbNJE9V8fdV9LJiPLOBMAG+ufZNmVZoxtdNUKrjcu6ghLAyeeUY9u4cOtdht84yU8MUX\nqs7fX38pcaQnMSWRKfumMHHPRLrX7c6nbT+lWplqhTfAy5fVd3jy5N3vMyJCGVEJCeDpqZqHh9pW\nrgzlyyvvZfnyd/fLlLHod23taMPqAScwMJAnn3yyqIdhlWjZ5Y+Ckp+UklmXL/Pp6dN8ULUqo4qT\n98pgUN6bGTPUUx6VLLS1V2smvzKMZcuUbZMVq1crj9X//hdIyTol6bSoE/vf2J/9A1dKZUTNng3r\n1qlicy+8AE8/rbxKBSmj+Hg4dkzFmR06pLxj//2nvBNt26rWrJnyhuWDhJQExmwbw+Lji5niN4Ve\nPr3uOX/6NHToAO+8A40bF93vNykJXntN2SirVyunYFqMJiMLghYwNnAszas059unvy3YuLmoKPX9\nBAWpbXCwMqJcXFSwV+3aqtWpAzVrEnj+PE927VpoU78PGnk1rHSMlUajKRKEEAyuUgW/cuV4PSyM\nZVeuML1OneIRe+XgoDKxjxwJhw+DrS29G/Tm+93f8/TTw9i6NXvDasYMVcLGYDTwyspXmNJpStZG\nVUKCMqZ+/ll5DYYMUUUF0z/NCxJXV+Wl8vW9e+zKFZWgaccOGDxYTT126ACdOqllfHmItXGxd2FS\nx0n0rN+T19a8xrJ/lzG983TcS7gDytO3fbuyJdu0gaKwq65ehe7dlYMnMFDNht1GSsm68HV8tOUj\nyjqX5feev+Nb1TfTa+UaKZWc9+1TNXKCglRLSVGG9qOPqgj6t99WCbQy+83ExGijqgjQHiuNRlPk\nSClZeuUKoyIieLpsWcbXqEGlvFStteyg1FN90CAYOBCD0UDlSZX51usIq+Z7sWFD5m89dUrN2J0/\nD1/t+pQT10+w4qUVGXdOSIBfflHJSX19VRbR1q2L7wPx8mU1RbphA2zZAo88ooKOundX3qxcjjsp\nNYlxgeOYd3QeP3b8kd4Net9ZMXf5srLhXnhBZa4vLJGEhamP1KePmgZM6yQMuRrCexvf4+Kti3zX\n4Tuer/N8/lf4xcbCgQPKkLrdTCZo0UK1xo2VMeXhUXz14gFETwVqNBqrJy41la/PnWP25cuM8vLi\nHQ+Poq03uG8f9OihnrSurrz515tUcarFDz0+5Nq1zOO8R41Sz7/ew4/gt8iPoCFBVCqRzvMkpaqB\nMnIkNG8On3+evRusuJGaqnIOrFungv2TklQ9lx49lGWZi2nLAxcPMHD1QGqWq8nM52ZSuaTyhF29\nqoyrzp3h228L3q7Yt0/ZiN98o6YBbxOdFM0XgV+wMHghY9qOYWizodjb2uftJjExygu4fbtqISHK\nE3XbkGrRQhms2ogqUvJqWCGlLJSmbqXJKwEBAUU9BKtFyy5/FIX8wuLjZc/jx2WVXbvkzxcuSIPR\nWOhjuMPLL0s5bpyUUsrtZ7fL+tPryyZNTXLHjoy7GwxSurtLGRJqlM1mNZOjfx19f6fQUCnbt5fy\n0Uel3LmzAAdfiJhMUgYHK1k1bChlpUpSDh0q5datUqam5ugSSSlJ8rOtn8mKEyrKJcFLpJRK/65d\nk/Kxx6QcOVLdpqBYv15KNzcp//rr7rFUY6r89dCv0n2Cu3xjzRvyStyV3F84Lk7KtWulHDFCyiZN\npHR1Vd//F19IuX27lImJlvsQadB/+/KH2W7Jtb1TTCJFNRqN5i51XFz4w8eHNQ0bsuraNert38+8\ny5cxmEyFP5jvvlMZ2SMiaOPVhhRjCt7P7GXLloy7//23ihHalTAXB1sHOtbsePeklDBtmppi7NpV\nBYi3bl04n6OgEQIaNFCet2PHlCfGy0t55Ly8VC3Gw4eVDDLB0c6Rr9p/xdreaxkXOI6Xl79MTFIM\n5cvD1q0QEKBmSgti8mPBAhg4UAWpd+miju2J3EOL2S2Ye2Qu6/qsY9bzs3Bzdcv+YlKqwPKJE5W7\nrVIlmDABypaFyZNVeoOtW2HsWLUgwEmXtHmQ0FOBGo2m2BN48ybfnj9PaEICIzw9eaNyZUrkc2Va\nrpgwQcUTbdzI+F3fs/34Sa7NncP+/fd37dkTWnW4yfg4b9b3XU+Tyk3UiStX1NxSVJRKilS7duGN\nv6gJDYVFi9TndnSEvn1VAFONzJNmJqYk8vHWj1kespxfn/+VTrU7ER2t8lw1b65sXUvMlEmp7J9p\n01TomLe3ykc1evNo1p9az/gO4+nbsG/2cVTR0So1xsaNqjk6quD+jh1VevmSJfM/WE2homOsNBrN\nA8+h2Fi+P3+ebdHRvFapEkOqVKF62uVaBUVKiso2/ckn/NflSbyneyMnnScsuCTu7ne7Xb+usrL3\nnv8+0jaJmV1mqhOHD0O3bsqg+PLLAkvCWeyRUhXYW7RIZVmtXRv69VPFAsuWzfAtAWcCGLh6IM/W\nfJZJz07ClFQSPz8VjjZ9ev6yT5hMyqG2aZOyhTw8JIuDFzNy80h6evfk6/ZfU9opi1WqkZGqaPeq\nVSo4q00bZUz5+amkqzpGyqrRMVYPOHquPO9o2eWP4ii/8Ph4+UF4uCy/c6fsHBQk/7p6VaYUdBzW\n7t1SVq4s5c2bsvvS7rLpG7/KefPu7TJtmpTP94+Q5caXk1FxUVJKKQPGjZOyQgUply8v2PFZGwaD\nCmZ66SUpS5eW0t9fyo0b74vHCggIkNGJ0XLgqoGy+k/V5Y6zO2RMjJStWkn5+utS5vVrNxik7NNH\nytatpbxxQ8rw6+Gyw4IOstGMRnLfhX0Zv8lkkvLYMSm/+krKpk2lLFdOyv79pVyxQsrY2LwNpAAp\njr9dawIdY6XRaB4Warm4MLFWLSJ9fenl5sZX585Rde9eRpw6xeHY2Nv/zFkWX18VF/Xhh7ze+HVu\nVp/NunX3dlm8GGKbjeWdx9+homtFNYU4bZoKvOrRw/Jjsmbs7VUw07JlKiNomzbw6adQrZrahoff\n6VraqTRzu83lJ7+f8F/uz1d7R7FqbRInT6psGEZj7m6dlKS+jlu3YO0GAz8Hf8MTs5/Ar6YfB988\nyOMej9/tLKXyOI4erbxQzz+vlipOmKCmdefPVyshS5TI/Iaahwo9FajRaB4IwhISWBQVxcKoKBxt\nbOhbsSI93Nyo5+KS/zxDt4mJgUaNME6ZjGfYMOJm/s310AY4OKicVY8+G4TT6x0Jf/skJb+dCMuX\nq7gbDw/L3P9hIDgY5s1T04V16qiI8l697sQoXY2/ypB1Qwi7FsYvfgsY83oTPD3VW3KSmSMuTqVT\nKF8e3h2/jzfXv0b1MtWZ3nk6j5R5RHWSUpX4WbZMNaNRVYZ+6SU1B6mn+B4KdIyVRqPRoMIb9ty6\nxeKoKFZfv46TjQ1dy5ena4UKtCpVKv9lc3bsgJdf5n9T/fnpLyNL+k+hfXsVAD31WjdGdHuK91aZ\nk2hu3gwVK1rmgz1spKTA+vXKYgoMVDFqAwdC27ZIIVgUvIgRf49gSON32DX+Y9zd7FiwIOtqO9HR\n8NxzULNeIhX9P2fhsQVM9pvMSz4vKeP7xIm7xlRcnDKk/P3zlPhUY/3k1bDK9i+MEMJPCHFCCBEu\nhBidSZ8p5vNBQojGuR2EJnsCAwOLeghWi5Zd/rA2+QkhaFm6NNPq1OH8E0/we/36lLKzY8SpU1Tc\nvZsXjx9n+sWLhMbH523KsG1b6NeP9+b8y61qv7FyXSwA8zYcJa7UAYYtP6eW0m/bBhUrWp38ig32\n9tCtG4Hvv6+KCzdqpIoH1qqF+PprXinTlkNvHmLv5Z3c6tWKyIQw+vRR9lhGXLumFudVabGbfY89\nRuStcwQPDca/XBvEpEnKE9W+vSp0PXs2nD2rrOXmza3WqNK6VzRkaVgJIWyBaYAfUB/oLYTwTten\nM1BLSlkbeBOYUUBjfag5evRoUQ/BatGyyx/WLD8hBI1LluTzatU41KwZx5s3p4ebG4djY+l07BhV\n9uyhd0gIky9cYG9MDEk5Ddb58ktcLl3hm1M1+P3kfCIiIMLja5Zfaob9xk3KU1W+PGDd8isOHD16\nVHn9RoxQ+bF+/10Vhm7cmKq9BvG33UBer9+H0Jat+LfEFPxfNmEw3HuNS5egTfsE7J4bzi6Pnnzf\n8nOWJXfF7cVXVGHr0FD48Ue1ym/y5FxnjS+uaN0rGrJLBPM4cEpKeRZACLEU6AaEpunTFZgPIKXc\nJ4QoI4Rwl1JGFcB4H1qio6OLeghWi5Zd/niQ5FfF0ZG+7u70NedIOJOYSGB0NPtjY5n/33+EJSRQ\n39WVx0uWpFnJkjR0dcXb1RXX9ME7jo6wZAlvt/Zlsd8EhoxtR++EzbQLLAW7dt+TOiA7+Rml5FZq\nKvFGIwkmEwkZbBNNJhJNJlKkxCglqeaW0b4JEICNEIh0+zYoY9MmzXFbIXAQAgcbGxyEwD7tvnmb\n0TkHGxuczM3Z3BxtbCwXz5aR/IRQ03LNmqkC1atWIebOZfChQ/h39+N9j9msK7OKLn3/j7WLvHBw\ngHPnoGXvHRheGEg/UY0RR9rh9PVbajHCwIGwciW4uFh0zLlFSkmKlBhMJgw52N7+vm9/50a48zrt\nsa2RkThevHi3f5p+aY+ZpEQC5mVwd/czeT2gUiUe03m5MiU7w8oDiEzz+gLQIgd9PAFtWGk0mmJN\ndWdnqjs7M7CyqkuXYDRyJC6O/bdusfXmTSZfuMDJxEQqOzjg4+pKA1dXvF1cqOnsTM2aNXGbNoM/\nhg3g+xYtmbhPYPPPRuIqV+ZyQgKXDQYuGwzsvXWLjyIiuJ6ays2UFG6mpt5tKSnEGo2UtLWlhK0t\nLra2uNjY4GzeuqTZOtnYYC8EduZmm2bfOc2+OS4ECZjgvn0T6gFpMj/Mk0wmotM8tFPSPMRTN3Uj\nigAABapJREFUpLx3/3YfKUk2mUgyt0STiUSjEYOUOJqNrLQGl5P5M6U/7mz+XM7p3uOU5lx4QgLb\nbt7M+HzPnji/9BL2kZGUWbCAefP2cEVcZULN+nTs/w0j33iVzye8xUjbNQyZ5Yhz5ZvQrwtM/FFl\nQwdSTSaSUlNJTPNZ7tmaDdvMzt35/OnOJZtMOTaUUqRURms6wzWjrb2Njfr+4Y4e3Gnpjl1MTiYo\nLu6+frffb2s2lm3MenPbEBeQ5ev7/tHQ3EN2hlVOAxDS/4uio9QtzNmzZ4t6CFaLll3+eJjk52Jr\nS6vSpWlV+m5SyFSTiYikJP6Nj+d4fDwbbtwgIjGRiMREkj098ZyzCOfYWBp9XIOoGzcw7t5NZQcH\n1RwdOXf2LG3t7Kjh7ExZOzvV7O0pa2dHGTs7StvZYWulMTzpMZkNrsQMDJO0hkd6Y+X2sZgMDJx9\nJ05w6dy5O0ZMRgaOUUqc2rXD6amncE5JwSEmGueb0Xx6eilOz/uypHIP5ru5kejgoN4XEUFSeDiJ\nJhMmKe8z5u4z4rI4V8bOLsP3OtrY4JgDQ8nBbDBb2tMHMCAujpl161r8upqsyXJVoBDiCWCclNLP\n/PpjwCSlHJ+mz0wgUEq51Pz6BNAu/VSgEEIbWxqNRqPRaKyGvKwKzM5jdRCoLYSoBlwC/IHe6fqs\nAd4GlpoNseiM4qvyMjiNRqPRaDQaayJLw0pKmSqEeBv4G7AF5kgpQ4UQg83nf5FSrhdCdBZCnALi\ngYEFPmqNRqPRaDSaYkihJQjVaDQajUajedCxeKIOnVA072QnOyHEk0KIGCHEEXP7rCjGWRwRQswV\nQkQJIYKz6KP1LhOyk5/WvawRQlQVQgQIIf4VQhwXQrybST+tg+nIiey0/mWOEMJJCLFPCHFUCBEi\nhPhfJv207mVATuSXa/3LS+XmzBpquvAUUA2wB44C3un6dAbWm/dbAHstOQZrbTmU3ZPAmqIea3Fs\nQBugMRCcyXmtd/mTn9a9rOVXCXjMvF8CCNN/+ywqO61/WcvQxby1A/YCrdOd17qXP/nlSv8s7bG6\nk1BUSpkC3E4ompZ7EooCZYQQ7hYehzWSE9nB/aktNICUcidwM4suWu+yIAfyA617mSKl/E9KedS8\nH4dKolwlXTetgxmQQ9mB1r9MkVImmHcdUP+k30jXReteFuRAfpAL/bO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"text": [ "" ] } ], "prompt_number": 93 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Butterworth, Elliptic and Bessel filters" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from scipy.signal import iirdesign" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 94 }, { "cell_type": "code", "collapsed": false, "input": [ "Wp = 0.5 # Cutoff frequency \n", "Ws = 0.6 # Stop frequency \n", "Rp = 0.1 # passband maximum loss (gpass)\n", "As = 60 # stoppand min attenuation (gstop)\n", "b,a = iirdesign(Wp, Ws, Rp, As, ftype='butter')\n", "frq, resp = freqz(b,a)\n", "plot(frq, abs(resp))\n", "twinx()\n", "plot(frq, angle(resp), 'r')\n", "\n", "title('Butterworth filter')\n", "grid()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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/Gx4wg+bNU3vAmEWANW2qPWABRQsw1bjpATO4/HKZ22Wm49BzfqHinPTvDzRu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\n7Lcl3uH1Q2bMGOD++73bnx2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33wycf76NoWsBIKgPmlNPBR57zLv9uXUcnIiiWN5Vs2aw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\nnZ2jXHnApqNxY6mM//rrqdfx0wPWsWO8Yn+Ge2SnnVwSYKl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"text": [ "" ] } ], "prompt_number": 95 }, { "cell_type": "code", "collapsed": false, "input": [ "Wp = 0.5 # Cutoff frequency \n", "Ws = 0.6 # Stop frequency \n", "Rp = 1 # passband maximum loss (gpass)\n", "As = 20 # stoppand min attenuation (gstop)\n", "\n", "types = ['butter', 'ellip', 'cheby1', 'cheby2']\n", "\n", "for t in types:\n", " b,a = iirdesign(Wp, Ws, Rp, As, ftype=t)\n", " frq, resp = freqz(b,a)\n", " plot(frq, abs(resp))\n", " \n", "legend(types)\n", "title('Filters')\n", "grid()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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+IdJPpBPUKohOfp3o5NvJ+Fr9CGsdRqBXIC4my5rcmzp3BWUFNUtebM/ezqaM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\n4mmLI3r+SOJnscCcOeHtRFoghZaWFKqrweUCtzt8u9t9fL+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"text": [ "" ] } ], "prompt_number": 96 }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can use the *iirfilter* function from scipy.signal to design and filter in a single step.\n", "\n", "http://docs.scipy.org/doc/scipy/reference/signal.html#filter-design" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Approximating arbitrary responses" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are several techniques that allow you to arbitrarily define target filter responses." ] }, { "cell_type": "code", "collapsed": false, "input": [ "from scipy.signal import firwin2\n", "\n", "freqs = [0.0, 0.5, 1.0]\n", "gains = [1.0, 1.0, 0.0]\n", "order = 150\n", "\n", "taps = firwin2(order, freqs, gains)\n", "\n", "frq, resp = freqz(taps)\n", "plot(frq, abs(resp))\n", "twinx()\n", "plot(frq, angle(resp), 'r')\n" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 97, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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vH9j3OebMgV/8wvNY9XYurHnIulHbvdFsX1SZUTWV3XwlHKZJWyyf4UuFSRJk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\nZgIMAKCZAAMAaCbAAACaCTAAgGZfDRHA2VMSzwMAAAAASUVORK5CYII=\n", "text": [ "" ] } ], "prompt_number": 97 }, { "cell_type": "code", "collapsed": false, "input": [ "freqs = [0.0, 0.3, 0.5, 0.8, 1.0]\n", "gains = [1.0, 0.2, 0.5, 0.1, 0.0]\n", "order = 200\n", "\n", "taps = firwin2(order, freqs, gains)\n", "\n", "frq, resp = freqz(taps)\n", "plot(frq, abs(resp))\n", "twinx()\n", "plot(frq, angle(resp), 'r')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 104, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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ZMwYYsk4Zi2f2RHJF+42pOQ3htgxxGWIWp8aZqUXB2txoI8fNLRu0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\nSepuSikXAzgWwMMAJgC4VUo5UQhxtBDi6F61XwEYDOD3vS34/544aL1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"text": [ "" ] } ], "prompt_number": 104 }, { "cell_type": "code", "collapsed": false, "input": [ "shaped = lfilter(taps, [1], sig)\n", "specgram(shaped);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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KrqHZjNU0w5nGfpM/pekMiILfaobRbbYBUmxkgFw/OHTPpg534Ix1w0FVVDc4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\nDDQA89bM5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y92sh+wbUD72ZZuZdp0Q+T7nscdikd7+e7b4nvoNPXmryofp03fecszkqnR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\n3QB3Y8qvkq8MfzUvK14/TzKq/pwfJ1+thvrqN8Mcw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"text": [ "" ] } ], "prompt_number": 105 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Parks-McClellan Filter design" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "http://en.wikipedia.org/wiki/Parks%E2%80%93McClellan_filter_design_algorithm" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Remez filter design" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from scipy.signal import remez\n", " \n", "freqs = [0, 0.1, 0.2, 0.4, 0.45, 0.5]\n", "gains = [0, 1, 0]\n", "\n", "taps = remez(50, freqs, gains, type='bandpass')\n", "\n", "frq, resp = freqz(taps)\n", "plot(frq/(2*pi), abs(resp))\n", "twinx()\n", "plot(frq/(2*pi), angle(resp), 'r')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 110, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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WlmsBmzxZTmkOLyuEyifjEKe1KPFfAMXRXr4cMX9lUi5IQP04MKexV1xMue5Unu9JWQpk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\n9rfAT38K/OAHN2fZIS9GjgRefNEoYAaDQV8KC4Gf/QyorAQWL84ts2b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"text": [ "" ] } ], "prompt_number": 110 }, { "cell_type": "code", "collapsed": false, "input": [ "from scipy.signal import remez\n", " \n", "freqs = [0, 0.1, 0.3, 0.4, 0.45, 0.5]\n", "gains = [0, 1, 0]\n", "\n", "taps = remez(16, freqs, gains, type='bandpass')\n", "\n", "frq, resp = freqz(taps)\n", "plot(frq/(2*pi), abs(resp))\n", "twinx()\n", "plot(frq/(2*pi), angle(resp), 'r')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 115, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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p3jfuNZ2TWY4FwDqnJUuAtm2BffvMOacumLUIeN0Bi3I8zZwJDBoEZM+e6hctWnAbrGbN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\n3MPldNLaxS24msOHeVr95BPgppuctkYPiAhKKUN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"text": [ "" ] } ], "prompt_number": 115 }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "All-pass filters" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Many ways of doing them. One is:\n", "\n", "$$y(n) = -gx(n) + x(n-D) + gy(y-D)$$" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from scipy.signal import freqz\n", "g = 0.9\n", "b = [-g, 0,0, 1]\n", "a = [1, 0,0,-g]\n", "frq, resp = freqz(b,a)\n", "plot(frq, abs(resp))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 116, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 116 }, { "cell_type": "code", "collapsed": false, "input": [ "plot(frq, angle(resp))\n", "xlabel('freq')\n", "ylabel('angle')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 117, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 117 }, { "cell_type": "code", "collapsed": false, "input": [ "sig = sin(linspace(0, 2*pi*5, 1000, endpoint=False)) + sin(linspace(0, 2*pi*30, 1000, endpoint=False))\n", "plot(sig)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 118, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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Yh+lHFK2fLdsD0usRc+tXtYE8S98ZpV0a1Wh3EA1Uy/ZskSgQI6JGAJ8EcCuA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\nK0RLn8pMstLPxJmIdnpkpR0g+qVBVlPLJtrNn8+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"text": [ "" ] } ], "prompt_number": 118 }, { "cell_type": "code", "collapsed": false, "input": [ "from scipy.signal import lfilter\n", "f = lfilter(b, a, sig)\n", "plot(abs(rfft(f)))\n", "plot(abs(rfft(sig)))\n", "xlim((0,80))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 119, "text": [ "(0, 80)" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 119 }, { "cell_type": "code", "collapsed": false, "input": [ "plot(angle(rfft(f)))\n", "plot(angle(rfft(sig)))\n", "\n", "legend(['original', 'all-pass'])" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 120, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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XyGY2DMvAQHoguECoYF4niSaTzMS6Hp5ZgZIeq1ZmBcY1rxuWgXQizc8FSWSx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\n66n31travTVXL0LBLhipu0/c9kToa0W7iN+67rcAI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"text": [ "" ] } ], "prompt_number": 120 }, { "cell_type": "code", "collapsed": false, "input": [ "stem(angle(rfft(f)),linefmt='b:')\n", "stem(angle(rfft(sig)), 'g.-.')\n", "\n", "legend(['original', 'all-pass'])\n", "xlim(0,50)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 121, "text": [ "(0, 50)" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 121 }, { "cell_type": "code", "collapsed": false, "input": [ "angle(resp)[5], angle(resp)[30]" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 122, "text": [ "(-1.4376450639128875, -2.7742892239674024)" ] } ], "prompt_number": 122 }, { "cell_type": "code", "collapsed": false, "input": [ "angle(rfft(f))[5] - angle(rfft(sig))[5]" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 123, "text": [ "-1.4165245589590689" ] } ], "prompt_number": 123 }, { "cell_type": "code", "collapsed": false, "input": [ "angle(rfft(f))[30] - angle(rfft(sig))[30]" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 124, "text": [ "3.5012099242089638" ] } ], "prompt_number": 124 }, { "cell_type": "markdown", "metadata": {}, "source": [ "hmmm...." ] }, { "cell_type": "code", "collapsed": 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aqlQqSXRJep1EKy2rRFMyUjQa/+oVpRUqUPr8uciK6cCsWZR2+nEOXRy6WGpV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\nIT/oy913Q3IynDamDaKpHDwIKSnGFMQN8A+gWeVmdAvuRljlMNcXzML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cWmGMYBl8ueVL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\n", "text": [ "" ] } ], "prompt_number": 127 }, { "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": {} } ] }