{
 "metadata": {
  "name": "",
  "signature": "sha256:100691d3b65fc1f89ac594efd888be8937b9f67e341ce4e5923e7fd10ca66046"
 },
 "nbformat": 3,
 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "heading",
     "level": 1,
     "metadata": {},
     "source": [
      "Filtering and Scipy.Signal"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Demonstration of FIR filtering using scipy.signal.  Part of a lecture given in ELEG 306 Digital Signal Processing, Oct 6, 2014.\n",
      "\n",
      "Charles Boncelet, boncelet@udel.edu"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%pylab inline\n",
      "import scipy.signal as sig"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Populating the interactive namespace from numpy and matplotlib\n"
       ]
      }
     ],
     "prompt_number": 1
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "x = randn(1200)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 2
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plot(x)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 56,
       "text": [
        "[<matplotlib.lines.Line2D at 0x1196a6390>]"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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abuLee/03wjLL2H97911g1VWz73qHu4r6QFSvm0/oXRZ9O4Q+hIUL/a4btaw2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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1196e2b10>"
       ]
      }
     ],
     "prompt_number": 56
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Low Pass filter"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "#sig.firwin?"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 55
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "h = sig.firwin(31,0.1)\n",
      "plot(h)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 6,
       "text": [
        "[<matplotlib.lines.Line2D at 0x10ce9ec10>]"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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df/758G2le3e47TbYfvvY0YkUhl12CYM2x44NvfSuuALatw9/i926hfaFfJ30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\nQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10cccb550>"
       ]
      }
     ],
     "prompt_number": 6
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "The connected dots plot above isn't as informative as the stem plot below:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "stem(range(len(h)),h)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 8,
       "text": [
        "<Container object of 3 artists>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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       "text": [
        "<matplotlib.figure.Figure at 0x10ceadad0>"
       ]
      }
     ],
     "prompt_number": 8
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Below we plot the magnitude response of the filter versus frequency (only versus positive frequencies--the negative half is the mirror image).\n",
      "\n",
      "Notice, this is a linear phase filter whose sidelobes are about 120 dB below the passband.  Try building an analog filter like this!"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "w, v = sig.freqz(h)\n",
      "plot(w,20*log(abs(v)))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 11,
       "text": [
        "[<matplotlib.lines.Line2D at 0x10dfc8450>]"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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q5c9WYi0kiBAMG9Y6bdXQYPc/8DuSLVEIggwvTrT1wQcmXH7STL172/uKj1be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\nCCElzv8DIDv9kod7mNYAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10dfa7290>"
       ]
      }
     ],
     "prompt_number": 11
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "y=convolve(x,h)\n",
      "plot(y)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 12,
       "text": [
        "[<matplotlib.lines.Line2D at 0x10e415490>]"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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/DB7Xr8+n7MpCRuHJQCnuiL7xDX6tKwPdjujoCG7WFSuqpblAv5mSpJeaHZDN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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10dfd80d0>"
       ]
      }
     ],
     "prompt_number": 12
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Below, we tighten the filter to have a passband of 0.01$\\pi$ wide (ok, as well as we can do with 51 taps--more taps results in a response closer to ideal at the expense of more delay and more computation)."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "h2 = sig.firwin(51,0.01)\n",
      "stem(range(len(h2)),h2)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 13,
       "text": [
        "<Container object of 3 artists>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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TwAiwMyKOSFqdLH80Ip6StFzSMeBN4K5G6yZZfwP4gaS7gRPAZ7vw2czMrAmZ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\nlnP/H9bIkLy7+iaoAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10e4261d0>"
       ]
      }
     ],
     "prompt_number": 13
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Notice how the signal is much smoother now.  This is clearer in the scatter plot below.\n",
      "\n",
      "One easily missed point:  The y-axis autoscales, resulting in plots of about the same \"visual magnitude\".  But look carefully: the original plot of x has a scale from -4 to 4 while this one goes from about -0.4 to 0.4.  The signal has gotten much smaller.  Why?  Because the filter has removed about 99% of the energy!"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "y2 = convolve(x,h2)\n",
      "plot(y2)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 14,
       "text": [
        "[<matplotlib.lines.Line2D at 0x10e73f210>]"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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Llri/b1/NaqejA3jLW4D//E//Y9kbllSCNLKJgKGWAbP4ff/0T8PvKyg/+5lz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\n8P8BvrM099Wps70AAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10e717310>"
       ]
      }
     ],
     "prompt_number": 14
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Show the dots. Notice how close consecutive dots are to each other.  Also, notice how the dots have \"momentum\".  This is a characteristic of a low pass signal like this."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "scatter(range(len(y2)),y2,s=2)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 17,
       "text": [
        "<matplotlib.collections.PathCollection at 0x10f1e0450>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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sx3H40If2AaukUqnA1qPgf9/53ZfeoIKga+KNQGpttTUErHLw4G/1dFVQO1E+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\nRVEU4P8HBzemegDKr4YAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10f1c0650>"
       ]
      }
     ],
     "prompt_number": 17
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Bandpass Filter"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Notice how the bandpass filter's impulse response matches the intended signal.  It oscillates slowly between positive and negative values, much like a sinusoid of frequency 0.15$\\pi$ does."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "hbp = sig.firwin(51, [0.1,0.2], pass_zero=False)\n",
      "stem(range(len(hbp)),hbp)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 20,
       "text": [
        "<Container object of 3 artists>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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2CKBy139Xc37Hk8E9A5WysLB8zS321tZOsLi4MqQSqd/8jieDYaBSLl1qvnN58eLUgEui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\nSRgGkiQMA0kShoEkCcNAkgT8f+e+14XGxNWiAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10f1cc190>"
       ]
      }
     ],
     "prompt_number": 20
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "w, v = sig.freqz(hbp)\n",
      "plot(w, 20*log(abs(v)))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 21,
       "text": [
        "[<matplotlib.lines.Line2D at 0x10f7aa3d0>]"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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Ky/k6Ob0rv7UtWvScOYtPPvH2ftyEYO1ab9FzEwKv9SpxJrJC4DcoiUfgTWkp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\nBKHIESEQBEEocv4/fpYaFHYuGdoAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10f7270d0>"
       ]
      }
     ],
     "prompt_number": 21
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "ybp = convolve(x,hbp)\n",
      "plot(ybp)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 22,
       "text": [
        "[<matplotlib.lines.Line2D at 0x10f7dd2d0>]"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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fO+8sLQa9dm1soqYJZFUGqZyBN89AlYEmkJUM1CZSZdDGJrK2iSoD\nBnN2gqz1ZpUB6yT/10ln9PjZsduwobqfvAZ1OQOrDNj+gMEF69QmIvl4o4n02ioZqDLICeT2OB3A\nzfL/LSuf1W2zx9vZ3/xNWUnuvrsc/XP8ePVIRA08NmkLVNvpeG8NQjGbiD1ffW9zBjGbiD0z+zwD\nBkVdYIwNQBsmz4e9ozqbSC2lNmSgjdabpUsbTRWEbfgbNwKXXAK8+93NlAF7rmzISqRKDCQDjgJj\nQ+R79iTVslBl0CRnwPt7551lHdBr19YmiiWQvXkGqZwBA2+dMtCcQRNlYG0iG1xjysCziVjXrTJQ\nsmWd43Ykcd5DKoMDBwbJgJO87rlnuHNjyStFBp5NtHlzNVRU63RTZWBzBp/+NPDTPw289a3ARz4y\n/CzvtYKFMX/f9LIE87/7u2c96yJs3w48/OHAd3zHXmzZshf33OPnDDRAAtXwTzuqQ4OdZxOppcAK\nb0ekxGyilDJYWBh8rqpd38WzYlhxbcC3yqAtGagysKOJ5ucrsvTIQG2i1762PJ9HP7oKPtorVWVg\nryPJ4P73HyQG2kTM9dBTtglk7aWS2DRnoIpJ7x2T1gsLZbLSUwYctaZPerNkoB0RL+CT7NUmSi1U\nR0/ay+GQ4Oits/5wITmrDFg2b2gpgys7LTHbimRw+HB5T086qeyUaZDfuHGwTticgd5XkuPycrle\nEOcUbNxYfs/EL3M4bWwitr/t2weVAUf6bdlSkYx2HuqUgebMSAb/7/8BP/qjwPd/P/COdwAPecjg\nw3pmgX379mHfvn0T3++4ZHArgDPk/zNQ9vxT2+xZ+WwIS0sX4eyzga9/Hfgv/wX44Aer/IGXQE6R\nAXtPCwuVTbRpU2UTWe/aKgPPJlJiAAZ77ir3GRSBsrzsAVqbyI5W8mwiqzxiZGDzH+oF296R5hrm\n5wfPj71JG9jVp7XKgCtA6v7YeD1loO9VGfC+McjzejFg8z55OQMlUGtpbNtW7ucb3xhWBpozoG2V\nStLGlIF2QmKdBA2+mzeXAdLaRHrPvQQynz7W1iYicbM8NjjOz1dkMz8/bBMdPjxcJ7STQXI4eLDc\nL+v7kSPAgx5UrjX2gz9YdTo443f//sGg7SkZVZ1KBg9+cEkmHDV4330Vaari4AisWAJ569Zyf7r0\nO8ngXe8Cfv3XgVe9qi4Urh727t2LvXv3fuv/iy++eCL7HdcmuhLAI0IIDw4hbADwUwAuNdtcCuB5\nABBC+D4A+4uiuN3bWQjAuecC//7vwBlnVAzvJZCbKANrE+3aVVoFdcpAA50SRipnYHuKbJRMTPPV\na/ys4BrQx8kZpEYT1dlEdiSWKgNi06Zhm0j35ykszybSnMGuXVVgsZYcg4ySkDZuIJ0zIIns318G\nOc86IPFo8lGtOpszsPfRSyCncgbWJvJInmWj/WFtInsPYmSgAdWeQyxnsHWrbxPZe6qdF3a8aAVx\n9NmDH1xOEnvHO6rvSAbcnufikYGqTraVz3wGePWrS0LdsqUs+z33VDmDe+8dbFOeTeQpAyWDpSXg\nn/8Z+OEfHiEy9hBjkUFRFMcAvBjA3wH4EoD3FEVxTQjhBSGEF6xs82EAN4QQrgfwVgC/lNrn055W\nvn73d5c3Z/9+f56BlzMgGegQP9ogGzcCe/aUD1BpQgaxoaWp0US2xw1UJKCzOEMYzi1or9daFEBF\nDJO0ibQn38QmIjZtqk8gW2WgCsiziXbtGh5Oqr1MJRL11L0Esio89nQXF8u6tHVrM2UQS5THyL/t\nPIMtW6oH8HjKgIThjSayNlFqaKkNqJrnitlEOpoo1ja0XqlNRBWu9+9pTyutxTvvrMiANhGQzhnE\nEshnn11afnfdVdahzZurWKE2kd0vl6pQMlBloDbR0hJwzTVlLFoPGNcmQlEUlwG4zHz2VvP/i5vu\n7wlPKG/wySdXninlMtfOT9lE7IlxqKT2Qs84o1zThDaRkkHKJhplnkFYyZJwws7GjVVSywZPTSBb\nm0gbe6wHWUcG2kujpGbjUDJgT0/VDXvMOurHUwaxBLJVBrzuJAbu9373G7QcNmworxfLpcpArRY7\ntNTeO31/zz1xMrDKQBWY1r2UTeTNM/COxbKzftgEMsk6Nc+A19cmkK0y4H2294qWkdYT2kSbNg2S\ngV5Hvb6qOLmdKoMDB6pyX3hhuYQLO2z33luRq44msnkNTxnc737lOW7ZUsaKnTvLbfbvr2wiKgPb\nTtjON2wor8HycrnSKVCdMwnipptKi5HKYa1jXJto4gihmmHImxCzidiz+dKXKjIIoQp+1ibas6dc\n3tcqA+1Rao9WPX3PJrLKQJ98xREHWvm8UTba22HgSQ1rrCMDmzNgI2Wj9RKW2uumTaRExeCsaKsM\nNKCrNeXZREoGVkmwjMDgeHWrDKxllVIGvOYbNgzaROx9a8BVizI1tLRuOQqSATsWSqaqDDwyiCWQ\nlQzUdvHIgPfKKgMdWnro0PB11DpRpwxI5kD13ApVBgzqvG82r1E3mmjz5nKfqgxoE1lloO1GO4CH\nD5d1DyhJgQTKkWUPetB48axP6BwZKNTLi9lES0vAt3878LWvVQ2Mdg5vOG2i008vk9P0apsqA7U3\n7Ggi9mY0kcoAAFTHoE1kvV4lJM8m0iDrkYENRqOMJrJjvZUoaLNwXDhQfTaKMtCcgdpED33oMBmQ\nPPS9DfA2Z2B7sRq4miiDpjYR74dNIOt3qdE7JEGvc2AT5CllYBPITWwij3jm59M2UZ0yUDJQZUAy\n2LZtmAzuf//yO9Y9e52parycATA4c5iDQzjpzLOJlNhYJ3R/XANrbq4iiDPOGD+O9QWdJgN6eVzL\nxBtaykXOPvvZYTJg5aUyYBL55pv9nEFs0llqngEbuu0hM5fBgMRJW55NpIRkE8g6fDOmDEgqmkCm\nN0pFw2GPqgxU+bBBWv+a/rAdwmeDpPY2Y8qAPrUS7KmnAlddVY4Yi+UM9Lrbnn/d0FLdtknOQGfh\nciilVWdWCc7PD88zSCkD5gxYP+w1iykD2jh2NFGToaUpZaD5tYWFMohbm6hOGahNpMqAuaZt26oc\nycLCIBls3TpI4jbJrUSpnTFLBsBwAtmSga0/S0vlnCZeM51kCZRL368XdJoM2GCUDCjVqQxIBlYZ\neDYRUDL9DTcMk4FWBO2ppWwi7Z3bXpenDBgcmthE+n8Tm2jz5uEZwrYH5P1OydIuhawN35KB7cnZ\nHIhVBiRQJVXek+/+7kGby9pEnHSmyoD3wxtaGlthk8qACkxtIpsz4AgwG3BVGQCDNt3y8uDABs0Z\nsC5YmyhGBjriJWYT2fphcwZqYdrtPJsIqNSBPsOY5bNkT5KxNlFMGQC+MiBB8xgxMrA9eZ05zOuZ\nSiDHlME555Sjm7TuEA97WH2cWivoBRnEbKLFxYoMbrstbhOxtwKUeYMbbhi2iTTwaaBj5bE9WmDQ\nArANjWSgyoD/ayNWMmCjtTkDm0C2QWN+fnBxLm3ADJopMtAGxh6abfg6msj2MJUErU2jyoD3Rm0i\nwiMDDSya8NZgdPRopYL0e2v9WZtIhxgqeTHgMpEas4ns/WYHxM5H4LFsr19zBlpm3YaWHsui8wxY\nXmsTWWXAgMq6F7OJSAa8zyedVO3H3lNvnkEsZ6DKABgcWsoF56jAYqO2mtpE3FedTaQdQL7nkGO2\ndQC49lrgRS+Kx6e1hk6TAW82p7arTcRJOYSSgXrdoygDW+G5TyUZYDCBnFIGlgxSNpGXM1DpHFMG\nJAM2zKbKQG0ils8qg/l54Md+rLRyAOCRj0wrA024qr8P+KTKz5UMOPqKQUZ/a3MGejxL6k0SyNZ6\nOHy4UnOeOvPuNwmX90rnGVhbhnkdrQ+eMuC901E5hw8PJpB57nwqoJcz0AEPsQQySUT9c+7HqmYl\nW+28sOOl8wxiyoAr2AJV0jhGBkpe1uPnK/cVSyDbzo9tF7wXvIes5yTF9YBOkwErEhck04rCzwmr\nDDSwM4EMlB71jTdWw05jyiBlbzRRBl7OgP9bG8pTBpoz0ASyBgL191UZ8LdKBpoMjNlEQNwffslL\nyjka118PvO1tw0FSGyzP06oTXkdL0LzXXs6A7/lbG+CPHh0cX2/vndqFsQSykqGSQcomiikDz07S\n0VkMvnU5AyVr9rZPOQX4b/+ttESbKgPWF6CZTTQ3V11r7seWzyoztYl0OLC2Ueb/tGOgnTlVkZ5N\n5CkDDt9eWBgkhq1b65WBVQnaVvn/ekOnyUADi9pEx49Xq2wS99yTHk3Exn7KKWUCmevVxJJkahNx\nn9yv9rSaKgPtedveos0Z2DHuTXIGKTLwbCJv0hnLZ20ibRwPe1g57M7aJ9pguR8NUBoA6myi+fnh\neQbcRq0f2jr33TdI0Erq7J1z/5YMNm4c7m1ysTZrE9Gi9Mb2b9hQJdZ1PoKnDJrkDOzY/Y0bgUc8\novzN5ZcPK4MmNpFH3KpCuA0w2DmIdRB4jJhNpPth4GZuBqiuwROfOFjvPJtIj631hmVUMuBM4qY5\nA1VTmQw6ihQZzM0NkgEwSAbK/hxFA1QTTHQEg+1xesqAQTU26cwu2FanDGI5g9jQ0nHIQEnPKgpr\n2Vh/ONY4GOR43illoNeRC5V5NhGD6dxcM2UADFoCer153jwnvt+ypZ0ysITMkUFNbSIGTGsTNUkg\n6343bgR+5EeAl78c+PKXq3tpCXlUmyilDNiGUsrAs4l4vxWWDIqiXO5B27jWUasMSDyKhYWKbBYX\nKxXikYF2jFjXszIo0Wky4KPyLBkw+GoeAIjnDICqUpIMqAy4ve1xNrGJ2DPjPIOYMgD8ceXW47Ye\nrG0g2nA9MjhwoArOdr+pBHKTnIGFBhW7UB33o9LfKgNLBroYHf+3gUUbsJIBhxHyuErq/Iz75Sz1\nVM7gvvuqQG6tGO3xx2wiTxnYXr/OQNZevacMtP7u3l1NBrOE7A0tZe+a98wSCDAYEDWocj/2nqr1\n5o0m8pQBwevKa014ZOANLdWy6T4534R1gtt5ykDdAJ4jX2P1fT2g02Swf3/56gVFtYk4S3D79vLV\n2iJAVSk5bpjKAIj7op5NpD0TVQapnAEwPJqo6dDSuklnOrTUC4oxmyhGBhpsU7LZ3hOdRMfvNUB5\nZGBzBkq0dmgp70FMGXhSX8uiwV4DJScDavnuuKNKeNblDKwyUAWhQ0utMrABSwnMBi+tP5yd39Qm\nYu9a74kmjO31ZFC1BKx1V/NAnL/Ca2AJ3JLB9u3DNpHWJ5aRnSzbBrRsAPDCFwI/+ZODZFCnDPTZ\nGDxHvRZZGXQQr30t8LGPDSsDaxPFyEBvuEcGtsLboaXaG2Hl53sgnTMgGdjja4Nk8LRLSNtJZ/xN\nagbyli3lMNuYXaIJZGsT2aS4N7TUwgbJmE1klcHGjX7OIKYMSMK8r5agtmypliTQ8tvGnlIGen+2\nbCkHI7AukaBjZMB6yZyB3qsmOQNO9vOGli4sVAqTvXiSgdajuqGl2uvX+6b1hNeYM821c8B92jqh\nijOEyiZSZaA20TXXAH/8x3Ey0JwBO3xeW9R685a3lM8XSCmDY8cq9W5tIp4jXzMZdBSnnQY86UnD\nZKAePVCOEAKakcGOHeXrzp3DysAmkPX3DER8D6SVASdDecrA2kTe8Fabg0jlDObmqqCoo1Q8ZcAF\n1+ysTpZPy5DqKVllEEsgM3Cwt7Zp07DdxvtjySCVQFZlYMlASZ2faQBiz/3YsUHVAZTBlguUAWll\noMuPeDZRamiptYliOQNOWCNSysD63zrsFqgCIu+VvV5ARQYxZaDHsfexThk8+tFl+ZuQgV6zOpsI\nAB7/eOCss8r3rGs2r0LCipGBVUnrDZ0mA8IGHq3gwODTsgDfF9Qeykc/Cjz72fGcgde71B5qE2XA\nnoo9viUb7ZlZL92ed10C2esh25yB3S976Vo+b9KYd0/aKAOO16Yy8GwiHdWiyoD3mj1FmzPwyEDv\nnb7nYoYMEjxvlmXXrvJ5GuxYeIRs77f2OBkwdTmKupxBShlYMuBELc1neDYRg58Gfn7uKQNeH50s\nyWvu2US8pnbwQUoZ6L3mvSBsXY/NmAZ8MnjpS8slafR7T92mlEG2iXoAzyZiousf/7GaJfjt316+\nspfmKQOgHJVB7xqIKwP1wNUmaqIMgMEKnBpNxGCsKoHbaqOoSyB/4xu+MlBy5Hca8HXorf2O525h\ng2SdMiAZxIaW2h76pk1lDsR6zp4y4Jr2Wn5VBlRE9t5xKXP9fNeu8jpyoTJ7D7z73VYZxMhgFGUQ\ns4m4TYwM9D5pAHzXu8rn/BI8B25rFafWK1UGVkUrWBdSOQNb7+uUgQfbseNnNmegZLaeyaAXp82K\nomvKs3E/4QnlK4ffAYMNnpXABhVgWBnoNP+UMrCjiTxlAAyOnEjZRHxCEysqG4ndLqUMtm0rE5+n\nnVYdRxttbGIWCUhtIs0ZcHvvnlhlYH+jDZzS/QEPGO5R6v1hGbdurRLIBAOTNlg+PtKziawSAqp6\nw/O2OQPOsj799OoeNEkg6zwDqwxSCeQYGfA+qxcOVGSgy2ooMWkg473U+linDJ7+9MHjac6hThks\nLlbWHq+zEhFB1aVkoPXO61zUKQMPtrz8bbaJfPRGGdiegq1k9hm9/J1nExFWGej72DwD/Z0qA+/B\n8NqritlEatPQzhnFJrrf/cr3qaCo9pY9v3GVgWcTqb/Mcu3eXZ2zErQSLFD1HnUbkquXM9Chu7b8\nrD8KWy94fA5GYB7Kes6pGcg2gewpA5KS2lN6nex9ZVAlmMtg7kPbhU32a4D17huvTao37CkDHSFm\nyYAT+ex19s6Bw7y5b68+aTnbkgHbmComltFrFwsLg+S33tAbMtBnBqhN5EF7855NlNpOg7XaRJws\nxe2Biph0ngErngZ//p7HTNlEun/PooiRAVeATHnntqesDSyWQNZzUHi9Ur1eNnDs3l16ugyc1ibi\n/aRnrcMD7XG1cdfZY/obux9gWBls2AD8n/9TDln0zjM16SxlE1mLReulpww0f6LgdWKHKGUTcb8M\nqHaCoL1eHlTdeuegNhEJWdua105JBlRh3HcsZwC0VwaLi2Wds8rA6wDa1/VKBr04bZWKOrQ0Bg3a\n2rOwiCkDr+fMx/Xp/lUZaM9vbq6s8HZ0DH9jFYQqAy2X7X2TDGzQmJ+vkucaFA8ejCsa23uOLUeh\nv1O0UQb8jKM9aH94jZpkQGVgbSI9B6C8zv/2b+Uzcfm5JTPPbrEkqMd5/vMHz7PJ0FJPGdjf855t\n2DB4XFtm2kTsBHngcXU0kbU4rDJoYhNZpGwikjqfB8Bz0sdEWhIGSqK/8MKKFLhvjwysKuE1q8N9\n98xKKm4AAB0ZSURBVJXl/sQnBq+LtgUSla5xxGOtR/RGGQCDNlFKGWjQ5m+97W3OgMfS3qf2euxw\nuVTO4F/+BfjiF4eDjt0/g7aSQUwZpBLIPD+dtR2ziWLKh9tYIowpg7oEsu2V2evuqTUG0ZQy0Ncz\nzgBuv716hKImAVPKgMHQ683a7ZivYpCPrU1k64EuPa7XenGxXOPptNPK0UG8Tt599cjgIQ8p1+C3\nx7HrSNmcgZ7PKDaRdpQ0z2aVgeYCeF8UIZTPQ1ZoXdEZ7Z5N1KTnTqWt1xYYbFsWWRn0AG2VgWf/\npLazkpEVXhuwjj7SwB7rKT70oYPHsAlkVRMHDw7uX20om0CmfaCBiWW/4oqqt6WNfBRlUNf4SFSx\ntYmoyryhqfY8FSQDKgPtZaoy4Ot3fEf5yiGXet5aFqsMCLUhYt97yoD3UW0iHkvraGypjrm5cvVR\nHiO2HMUznlGdG3HDDdXvPIuSsDaRns8oNhGvqZ1IqMtH6/+33DKYF0iB+/VyISx3G2Wg+1UysK92\n29h36wG9OG1LBjqayIOnDDxocLQByi4HoMqAlT6lDGzZLRnw94uL1bIItrLb3ndqBjIA/NAPDR43\npQxswPeUge2FK2yDtQHPJuK96+41at5XkoFaCZ7P+0M/BDzvecAFFwyfmx7np3+6sjM8xOoTr7Oq\ns6IYHjCghKvqldeGJBE7hhKYKoP3vCdeZq1HHhksLPiTztraRPae8ne2PVhlwBFZTWDruo7A4vfj\nkIG1A5ksVqx3m6h3ZNDWJmqSaObqlPwNx3ZrQNGcgdpEqXkGegxrE/E9P4/ZRE1nIFtYOa9l8QKm\nKgPbEFPKgARtbSIGRU8ZeLNTCd4v2kRKBjt2DDfYEIB3vnOwXJYEFxeBn/3Z8i+GWD2xpMe6xz+r\nDOhFW2XgjWbTMseGlqag14DX2tpEPAc9H659xX2kyEDnDNjcmj5qEvBzBk3h2Y6a85ubG54T0nS/\nsQSyncOx3pVB73IGbRPIfCymBw3UGjg0WOs2tifk2UR1yoBDCXk+OlPTWhYaTFNkEPM/29hEqgy4\nTZ0y8BLINnBMUhls354uU+zcmgSPFBl4iU1+x/91noRVBnX11ZaZy0jU9VCtMrDX2rtWnjLQiY4W\ndnVf3ac+Q0BfNWfQFHoNPNtRjzcOGdjBH4qUhbQe0EsyqLOJNNhw3LgHNgglAH0/N1d6nhdcUO4n\nlUC2tgFhRyrYoO9N29eJUU0TyN41o9+rjzDkcW0CWZUBX5sqA88mYq/OJjV1fyky4OgoJiB/4ieG\nlxDxwOtilUHsOHWInScwSNaeTWRzBoRNCpPoWeamyoD7TM1A1u343ssZxAIsn//A/XnKwD43mfeu\nDawy8HIGo5KBnWfA8seUwXq1iXpHBk16WqoMfuu3yp5P3f5jymB+Hnj/+8skXkwZpJJ4hJKB7t8j\nAxtsGGTbKgMe13q62kAmrQxs4GirDHjuD3wg8JWvAGeeWf7/f/8v8NjH1vu643rMXnnUDvOUgWcT\nees2xWDLrHmourLxtY1N1CZncMopcWVg7wUn6qVyMzHUkcE4ykBf9VysMljvNlEvTtuziZrmDObm\n0n4t96+Bgys31nndJCb7cBttfDYgWZtIcwZETBkoGfA6NCEDaz9pkI4pgyY5Az1vHR3F39heGWFt\nBYXeVz7m0TuvOjKoUwYWsQBmSU87IlQ+et5qDWleIaUMLBnoEMsUmtpEXs6gCRlcfXU5BPaTnyz/\nt8rAng/JQK29poiRgWcTxYYBx/arryllsN5tol6cdlubyE4Oa7J/TxnYnpmXDK5TBvwNE6JNbCIt\nVyyBDFTDJb0epNdolWQYOGzyr6kysGrN/kbtEvt72guet1wXAJsqAw1cdfXguuuAPXvi+0vZRLbX\nz7ppRyDV5Qy0zLqAXgpqE+my5IS9VjqayNpEXgDksF0NknqvCd6zBzygXB+rqQWnYOdifn7wmnkd\nJzvUtm6/+qrXJKYM1qtN1AsyULnbJIFsPfI68DGC/I1X4YFyDRxgeGgp33vKwCZE1SZSMtBesmcT\nWTIoiviDZ7TsMTLgq10DyLMBvOtoe6V8rwE41riaKoOm56XQxt5UGTz84fHvrGXh5Qxsr1+VgbeN\ndwyWuY1VYQnZEtMkbCLdj7WJCCWupvMK6s7FvicpA+0S1FkZNEcvTttWlDqbSFeEbII77gAe9ajy\nvQYxWyke/OAqeLJcuuyApwxY4TxlMD/fPIEcQhlo6AufOOEnZ7Vs3jnod/Pzg+XS7ZvYRHre3m9i\npBobdXLhhemEv5ZlksogBS83YslAy6Jk4OUZuI1X5jo15pWNr21yBtYmqluczbumun1dTq4J6urT\n3Nzoo5T0VcnAzo7OOYMewMsZpHpa9mH0KVxySbkM9uc/X/6fIoNzzinXPCFsD9BTBuzNcJ+aGIzl\nDLyep11ywE44s/DOwZZlbm54PH/TwBTrvdX1IoG4TWSXKEidV915t1EGdcezM61TNhEnpNmhpang\n7hFoqn4TahPNzQ0uHaH79ZRBzD7x4N1THaL5mMfUl7UOTZTB2WdXz0Vvu197ngsL5QNxtHNX19FY\n6+glGdTlDGJLD3h47nPL12uvLV9TZOCVS4eVppQBwXXoeT4Mwjocz1ubCKjO3WvwXtn0HP7TfwLO\nP3/wO/q0QPUwF6/ht1EGuo59nTLwbKI6TEoZNPW1rX9tH15kLSCS/fHj1aRHOzIopQzalC8WNAnv\nWllCa2KNpK6pLsY4DvQa6LlYcmw7bDWmDLZsAZ7ylPLPbpuVQYfBm9R0Ek8bMiDsQ7SBZuO81Q6g\nr6+NT8uyvDy8kqrXe1X/3vObbU/Pgz2HP/3T4e/m58vRInv3DucTUp6/HtcGIgY6PqJSy0CkEsh1\nqLs33qSiNssiWHg2kRKhl0Dm53bkmG5jj5E6p1TZgMHngadsotgzkOuOnVIGbUb2pOCRgdpEo/bW\n7e9Zz72OSKzzsl7QKzJQmyjVc3r+86v1/ZtCp9a3IQNgcAayfg5UPW5gcAE6vnoeuQ5d1YarQaTO\nTrCzjr1yz8+XvunHP159542qSikDDUS0sbzjKM46q1xCYtTJSSyfB50J/KhHAVdeOV7jVnVme9Ve\nPmB5eXg5CmBwm9izFdqWs04ZTNomspMzJ4kYGYwboO15amfFQp8VsR7RwJmcPdraRDt3lguTtQGV\nwcknt+upeb0zrbgXXVQ+YN37zdxcma+wCTjbu9WeXVOkyCAVfDxLILWdJcF7760/zvx8ubjcKEMQ\nrYKxsJO/Hve49sdQWPVXl0Dm95ozsOX1rof9vMm18e6BZxNZMtA61YQMuM3OndXvpkUGNm/SJodS\nt1+g2bpJ3jMY1gN6RwZNbKJRQGXA9eWBZmSgD8jwKu7GjcO9f9v47RyDQ4cGv0+dayxo2KGiqeMr\nmioDL08wPw/8wi9U5DdN2R3bZ+q8FdaqicEGJjvpzNqC3hLWuh+vbKN61XUdEVt/aBPpZ02OzXPQ\nWfirpQwmZRPZ5bZTGMVmXgvoHRk0sYnGOYbOA2jbOJtW3LreDhWA18CbnnfdZLbY8ZuMBrL70PPZ\nsKEiv3EbcgpNlEEKTRu8PU+rDPQVqPIEOrDAbhPLAek5NVGBXg/am1cS+40eMxXctXPiPRluEqiz\nicZVBizvU55SdlhSaNpRWGvobc5g0pVxzx7gYx8bPF4bZcDy6WsMqe1uvHF4mGcqkMTIwa6jpEiN\nyNFlgttOOrP7m6YyiF3jpsqgKRnY8/TIQI/Fh7Pwe6sMXvjCcqauwiPNNmQQUwa2bnjbNRlN9JjH\nAO97X/l+lPWBmmDaOQOWd/du4G1vS/+mbvmatYrekYH6sZNECMCTnjR4vFFle13FTfWYuTCb7m8U\nMkiVJfXoP/ts3th2MWXgbTMLZVA3bHWSZMDXT32qXGDPsw5Z3re8ZfgYXn1rQwYaQPW62Pvh2USa\ncI9hfh541rPK96upDObnm1mlKYxCJpkMOgwdudIkgTyp481CGXjl0O283p6HVDBJkYEGh6Y5gzpl\nMI1x23XKoI4Mmibjm9hE3OZ7v7d8ve226nsvZxA7hl6/JlZFnU1U9xugGRkoZmUTTaNDEcN6JYNe\n5Aw04DWZgTwu2jYQomnFHYcMmiqDVDBpYhONOunM22YWyqAuUdi0wXtWTCpnUPeb1DHa2kR1o4m8\nOmC3s8uQ1KFvOQOiaR7gla8sh6avR/RCGRB2EbBpoc1Cd6Mog3ESzU2VQQp2voN3TKowwA+sTchg\nmr262Ho4JLM6Mmg6WSoVmGLnp2qgjTKYtE1k95GyiZpOAGQZJzXZjKgbTTRue2+qBF//+vGO02f0\nQhkQmkCepjJo01tabZsodXzFqDaRHuvIkfjxm0j5aSmDU08dzK0o7IN8YmgazOzgBb7X15g91tTm\n8K5Tk/pddxxv8lSM0Joqg7vual6+NoiRwaQmgq3XEUJt0CtlMD+/OjmDttKZaNqwNMHYZH/a8Gyl\nHkcZ1JHB4cPxfWiPbbWVwde/Hv+OI3Xqerrf+73VQ1tSSCmDWK+/bu5J7BhthxB7ZVP7xqsr9lht\ng6TOqJ8kYmRAjEs+bSZsrlf0ShmwokxbGdgHvqTgKYNJBb9xcga6AFcM3jVkzw9Ik0GdRaH/r2by\nj+sQ1SmD974X+OpX6/eX6n03UQZNbCLC5saalk3vQYoM7IOVvG3q8MxnTmbJagu1yprYo22RlUE9\neqUM7PLA08IoT1QC2kvuOowzmui88+LT6lMN48wzq+Om1g6q68nZbVYLW7cC+/bVJzg3bGhmFaVy\nIzEbr20C2cOoykDrnr3PmzYNl6et/RLCdEbbaF3xCHS1cgbrGb1SBiSBadtEDBJNFlKbpjIYN4Ec\nI6UUGfzMz1Rj8M87D7jzznTZUspgmgnkFJ74xMntK2UTxcjOSyCnrkFq6G4KSkZNnt3gkUFXgqRH\nBm2VUpP9Z8QxMhmEEHaFEC4PIXwlhPCREILbjw4h3BhC+EII4XMhhE+NXtTKHpq2TcR9N1nUyvvd\nNJVBU5sohaaSOYT46q9tlEGf14cfhQzaKgMvILdJIM/P+8tw2Pprn7IHAE9/ev1xVgN112lcMhhn\nGfP1gnFC6q8DuLwoikcC+NjK/x4KAHuLojirKIpzxjjet5TBtG0iALjsMuC00+q3G0UZNJXmoyYW\n6zAJ/7TO49X/+9wrS9lE3qqgQPuhpd79SOVrCC2Pt4CcPsUL8JXB05/eDT+d1ymmVMbp/P3JnwCv\neMXov18vGIcMzgfwzpX37wTwY4ltJxK6lQymqQwA4NxzmwXeUchglEXSvOMBow25m4Q1oOcas0L4\n/6THpK8mZqEMFherxeGals0jgz17qvcbNgCPf/x0krOTRCzP9Z3fOfo+f/EXB69Fho9xBPzuoihu\nX3l/O4Ddke0KAB8NIRwH8NaiKP40sl0tVlMZNIVHBnW2SNMA3mSewSjL7fK5x+OgiU3E/0d5vGVX\n0IQMYufdNGdge+b/9b8Ct97avGwxm+jCC8scEAAcPFhuf9VV9eWZJby20ZW8xlpHMmyFEC4HcKrz\n1W/qP0VRFCGE2C37waIovh5COAXA5SGELxdFcYW34UUXXfSt93v37sXevXu/9f8jHwk86UmDva6u\noakyaNoQm/TiRlEG27e3/41FkwQyG3GfcwZ2XSygeQI5tpqoxcknD/7/hjc0K1udMti4sWw3wLCl\nNW1lPSq6SlJdwr59+7Bv376J7zfZTIuiiI5WDyHcHkI4tSiK20IIpwG4I7KPr6+83hlC+GsA5wCo\nJQMLPrD+H/6hfO1KZR5FGTQtu+15nnNO+WQ0xSiBdu9e4H/8j/a/UzRRBlQtXSTuphjHJtLfpILc\ny18OPOc57cvmjSZqu1Bd19BV+6pLsB3liy++eCL7HafPdimA5wN4w8rr++0GIYQtAOaLorgvhLAV\nwFMBjFXyprN3Z4FpK4NPfGL4vEdZMOzcc8d/mpMSX91ooj5jHJuoqTLYsAF46ENHL1tsOGbdb7qI\nrpZrPWCc/sHrATwlhPAVAE9a+R8hhAeGEP5mZZtTAVwRQrgKwCcBfKgoio+MVeCO9Wy8sdB1ZRtV\nGXgNfVbJWU8Z2Ibc51wB0WQ0UcomSq0QOy5GaQtdaz8WmQxmh5GVQVEUdwF4svP51wA8feX9DQAe\nO3LpHHRZGTTFqGTgIZPBdDGKMlBMcxZ2JoOMSaJ3qb02a72sBpSUmlbkcRLIije9CXjYw5rta9Lw\nEsh2mYJTTlndMk0DKf+/SaBfDTKYnwfuvrv9b7qGD38Y+IEfmHUp1i96RwZ9GE1Uh1/7NeDss+u3\nq+t5/sqvNDveNOApA6tSnvEM4LrrVrdck0aTtYlSeZvVUgZ3uMM30r/pGp72tFmXYH2jd2TQNZto\nFGXwoAcBP/uz9dt1ueF6CWRLBiEAD3/46pZr0kjZRBw6m7o/08wZKFG94hXN1mTqcp3KmC16VyW6\nbBNNukxNPOlZQXu8JIE+zzSOwZtAxtcmyzhMc30mLduppwIXXND8N32Y+9FFK2sto4NhJo21YBM1\nxSyWgG4KtUr4IJlMBsNYrZxB29/0gQz6UMa1hN6RQdeUgWJ5ebL767Kk1yC3lslAZyATbR7F2NXR\nRH0ItF2s92sZvbvcXcsZaECY9BOgutwY1qMyINoog2kS+jhk0EW1adGF1VTXEzocbnx0zSaaJhkQ\n484WngYYTB7wgGo0TVfuySQxDhnwyXzTwlq3iTIZrC56RwZds4m0wk6rgXUxyG7YAGzbVs5zaGOb\n9A0pm6dOCU37vrFMVGZN0CcyyKuVri46ElKbo8s20e/8DnD11bMry2pibg64995BUt61a3blmRa8\nYbOse3VLgWsdnUZg4z7XKhlkZbC66EGVGETXkqpaYXfsaPbc5LboCvGlsFZ7cSkyaPtY1EmDT0Nr\nUz9yziAjho6E1ObomjJYjXJ05VzXI7yntfF+PLZm1a1p37cmj8a0yMogI4ZMBmNilCWk26Ir57oe\nwfWWPDJ42tPSASuTweg488xmM6ozJoeOV4lhdE3mZjJY2/CGzY7yAJZp1NcnPxl485vb/aZr7SeG\nG2+cdQnWH3qrDLqSM1iNHpZ9LGLG6sEjg6YEoNudfvrkykScdBLwkpe0+01flEHG6qN3VaJrZDBt\nZXD99aVkzpgNSAZ6n9uSwfnnAz/8w5Mt16jIZJARQ++qRNfIYNqNalbPK8go4d3ftrbdBz4wmbJM\nApkMMmLoXZXo2tDSt7wF+PrXZ12KjGlD55OMYhN1BcwV5JE6GRa9I4OuKYNnPGPWJchYDezc2f43\nmQwy+oRMBhkZNThxwl+1tA5dJAOgXENrLS4qmDEeekcGXbOJMtY+bFDvapBvCvus6owMIA8tzcho\njaZ1r++kkbG+0LuQmskgY9bou02UkeGhdyE120QZs0YO8hlrEb0LqVkZZMwaWRlkrEX0LqRmMsiY\nNTIZZKxF9C6kZpsoY9bo+iJvGRmjoHchNSuDjFmj7glnRFYGGX1C70JqJoOMWaPpE84yGWT0Cb0L\nqdkmypg1miqDjIw+oXchNSuDjFnjpJOabZeVQUaf0LvlKJi8y2SQMQu85z3l4y6bIJNBRp+QySAj\nowV+8iebb5vJIKNP6F1IJRnk4X0ZGRkZk0NvySArg4yMjIzJoXchNZNBRl8wygNxMjJmhd6F1EwC\nGX3BmWfOugQZGc3RuwQyk3JFMdtyZGSk8PGPA9/zPbMuRUZGc/SODIhMBhldxt69sy5BRkY79NZ0\nyWSQkZGRMTlkMsjIyMjIyGSQkZGRkdFjMjhxYtYlyMjIyFg76C0Z5Kn+GRkZGZNDb8lgw4ZZlyAj\nIyNj7SCTQUZGRkbG6GQQQviPIYR/DSEcDyGcndju3BDCl0MI14UQXjnq8Sw2bpzUnjIyMjIyxlEG\nVwP4cQD/GNsghDAP4A8BnAvg2wA8J4TwmDGO+S0sLk5iL5PDvn37Zl2EkdHnsgO5/LNGLv/awMhk\nUBTFl4ui+ErNZucAuL4oihuLojgK4N0ALhj1mIqu2UR9rlB9LjuQyz9r5PKvDUw7Z3A6gJvl/1tW\nPhsbTR89mJGRkZFRj+TaRCGEywGc6nz1qqIoPthg/1OZGvbpTwNnnTWNPWdkZGSsT4RizKm8IYSP\nA3hZURSfdb77PgAXFUVx7sr/vwHgRFEUb3C2zXOKMzIyMkZAURRjz7ya1KqlsYJcCeARIYQHA/ga\ngJ8C8Bxvw0mcTEZGRkbGaBhnaOmPhxBuBvB9AP4mhHDZyucPDCH8DQAURXEMwIsB/B2ALwF4T1EU\n14xf7IyMjIyMSWJsmygjIyMjo/+Y+QzkaU1KmyRCCGeEED6+MsnuiyGEX175fFcI4fIQwldCCB8J\nIeyU3/zGyjl9OYTw1NmV/lvlmQ8hfC6E8MGV//tU9p0hhL8MIVwTQvhSCOHxPSv/b6zUnatDCH8e\nQtjY5fKHEN4eQrg9hHC1fNa6vCGEx62c83UhhD+Ycfl/d6X+fD6E8FchhB19Kr9897IQwokQwq6J\nl78oipn9AZgHcD2ABwNYBHAVgMfMskyRcp4K4LEr708CcC2AxwD4HQCvWPn8lQBev/L+21bOZXHl\n3K4HMDfjc3gpgHcBuHTl/z6V/Z0Afn7l/QKAHX0p/0oZbgCwceX/9wB4fpfLD+AJAM4CcLV81qa8\ndBw+BeCclfcfBnDuDMv/FF5HAK/vW/lXPj8DwN8C+DcAuyZd/lkrg6lNSpskiqK4rSiKq1beHwBw\nDcr5EuejDFRYef2xlfcXAPiLoiiOFkVxI8obdM6qFloQQtgD4DwAb0OV7O9L2XcAeEJRFG8HyjxU\nURT3oCflB3AvgKMAtoQQFgBsQTmYorPlL4riCgB3m4/blPfxIYTTAGwriuJTK9v9mfxmqvDKXxTF\n5UVRcOH7TwLYs/K+F+Vfwe8DeIX5bGLlnzUZTG1S2rSwMjLqLJQVandRFLevfHU7gN0r7x+I8lyI\nWZ/XGwG8HIA+BaIvZX8IgDtDCO8IIXw2hPCnIYSt6En5i6K4C8DvAbgJJQnsL4ricvSk/IK25bWf\n34punAcA/DzKnjLQk/KHEC4AcEtRFF8wX02s/LMmg15lr0MIJwF4H4BfKYriPv2uKLVY6nxmcq4h\nhGcAuKMois8hMgS4q2VfwQKAswH8cVEUZwM4CODXdYMulz+E8DAAv4pSwj8QwEkhhOfqNl0uv4cG\n5e0sQgi/CWC5KIo/n3VZmiKEsAXAqwC8Wj+e9HFmTQa3ovTBiDMwyGadQQhhESURXFIUxftXPr49\nhHDqyvenAbhj5XN7XntWPpsFfgDA+SGEfwPwFwCeFEK4BP0oO1DWh1uKovj0yv9/iZIcbutJ+b8H\nwL8URfHNohxq/VcAvh/9KT/Rpr7csvL5HvP5TM8jhPCzKO3Sn5aP+1D+h6HsTHx+pR3vAfCZEMJu\nTLD8syaDb01KCyFsQDkp7dIZl2kIIYQA4H8D+FJRFG+Sry5FmQzEyuv75fNnhxA2hBAeAuARKJM5\nq46iKF5VFMUZRVE8BMCzAfx9URQ/gx6UHSjzNQBuDiE8cuWjJwP4VwAfRA/KD+DLAL4vhLB5pR49\nGeWcm76Un2hVX1bu270rI78CgJ+R36w6QgjnorRKLyiKYkm+6nz5i6K4uiiK3UVRPGSlHd8C4OwV\n225y5V+N7HhN5vxpKEfnXA/gN2ZdnkgZfwil334VgM+t/J0LYBeAjwL4CoCPANgpv3nVyjl9GcCP\nzvocVsr0RFSjiXpTdgDfDeDTAD6Psme9o2flfwVKArsaZfJ1scvlR6kgvwZgGWVO7+dGKS+Ax62c\n8/UA3jzD8v88gOsA/Lu03z/uQfmP8Pqb72/AymiiSZY/TzrLyMjIyJi5TZSRkZGR0QFkMsjIyMjI\nyGSQkZGRkZHJICMjIyMDmQwyMjIyMpDJICMjIyMDmQwyMjIyMpDJICMjIyMDwP8HiZN3pCK1mmQA\nAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10f7b5b90>"
       ]
      }
     ],
     "prompt_number": 22
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "stem(range(len(ybp)),ybp,s=1)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 25,
       "text": [
        "<Container object of 3 artists>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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YaroQUGdZ1GrvoNg9qny8UFf/Bp/KqCkTst1bmEJuvl+krJWQ/q3Xaeh99r1Z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\nIgKRGEREREREIBKDiIiIiAgA/z/3CdlkopRI5QAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1144c1390>"
       ]
      }
     ],
     "prompt_number": 25
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "This plot is a total mess.  It has too many points and the dots are too large.  Let's fix both:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "segment = ybp[100:200]\n",
      "stem(range(len(segment)),segment,s=2)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 51,
       "text": [
        "<Container object of 3 artists>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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9kVABQCRH8Sr9Aw98nImJnfze771WJ35pU3SyQzUBieSo6Cq9lEvREwlVAxDJ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\nKQCIiFSUAoCISEX9f7xwX3jSSmrkAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1196da950>"
       ]
      }
     ],
     "prompt_number": 51
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Now we can see what happened.  The signal looks like a sinusoid, oscillating slowly between positive and negative values.  It isn't a perfect sinusoid for two reasons: 1) the signal is random (we starting with white Gaussian noise) and 2) the output has components at all frequencies within (and near) the passband.  "
     ]
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "High Pass Filter"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "hhp = sig.firwin(51, 0.9, pass_zero=False)\n",
      "w, v = sig.freqz(hhp)\n",
      "plot(w, 20*log(abs(v)))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 31,
       "text": [
        "[<matplotlib.lines.Line2D at 0x1184e2110>]"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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KZx8UAh/HHhSCjRv97N1kKp+IoGtXS4Vt2WKfJdsgt8MJR6dO4XL+1dXhIoJt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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1184c0450>"
       ]
      }
     ],
     "prompt_number": 31
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "yhp = convolve(x,hhp)\n",
      "plot(yhp)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 32,
       "text": [
        "[<matplotlib.lines.Line2D at 0x1189d1850>]"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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YZ5908u7aNZ18s6LR3UoB7hkwIYQtacjYQ7NmyWL3lJEirjiYF6wM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\nWCy3E1f1tEsAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1184b9790>"
       ]
      }
     ],
     "prompt_number": 32
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plot(yhp[500:600])"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 33,
       "text": [
        "[<matplotlib.lines.Line2D at 0x1189fddd0>]"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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66X0mzD4cUgCu8dIUCgCojAPEBYG5LM5qMf2W9iphk2x8nXZqSkvejo4wAUxP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\nVwBJy0IuIKDMyrVKAEuX+uvW3V29eoc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       "text": [
        "<matplotlib.figure.Figure at 0x1189d7710>"
       ]
      }
     ],
     "prompt_number": 33
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "stem(yhp[500:600])"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 34,
       "text": [
        "<Container object of 3 artists>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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UKMRa4l6YRDto1IYwcWqeovYYFqIuRL8w7dFz0RIaJQDGqXm085cQJ5FdTDRK\nBSQ1jxDJkV1MNGoGIDWPEMnZvn2Go0d3rVtVv23bbImtEkXS2IVgQojxJNnBa9Rir5VV9cvLe5mZ\n0ar6MillR7CskQAQoppoVX210UpgIURhaFV9c5AAEEJMhLyHmoMEgBBiIuQ91BwkAIQQEyF36+bQ\nKDdQIUR2RO2fIXfr5iAvICHEOuTpUx/kBSSEyBR5+rQDCQAhxDrk6dMOJACEEOuQp087SC0AzOwc\nMztkZk+b2bKZnR2Td4OZfc3MvpC2PiFEccjTpx2EzAB2Aofc/U3Al/vnUewAngRk5U1At9stuwmV\nQX1xkiL7Ym5uC4uLHTqdPUxNLdDp7GFxsTqeProvsiFEALwfuK9/fB/wgVGZzOwi4L3Ap4FUluq2\noZv7JOqLkxTdF3NzWzhw4Fa63QUOHLi1MoM/6L7IihABcK67H+sfHwPOjcj3H4DfAH4SUJcQQoiM\niV0IZmaHgPNGJK1RDrq7m9k69Y6ZvQ/4rrt/zcymQxoqhBAiW1IvBDOzI8C0u79kZucDD7v7m4fy\n/FvgV4ATwBnA3wH+xN0/MqI82QeEECIFhe8HYGZ3AK+4++1mthM4290jDcFmNgX8G3f/x6kqFEII\nkSkhNoDbgKvN7GngXf1zzOwCM1uK+B+95QshREWoTCwgIYQQxVL6SmAzmzWzI2b2jJndWHZ7isTM\nLjazh83sm2b2V2a2vX898SK7pjG8aLCtfWFmZ5vZ583sKTN70syuanFf3NR/Rp4wsz8ys9Pb0hdm\n9hkzO2ZmTwxci/zu/b56pj+mzowrv1QBYGYbgLuBWeBy4Dozu6zMNhXMa8An3P3ngM3Ar/W//ySL\n7JrG8KLBtvbFIvBFd78MeAtwhBb2hZltBD4GvNXd/wGwAfgw7emLP6Q3Pg4y8rub2eXAtfTG0lng\n98wsdowvewZwJfCsuz/n7q8B9wPXlNymwnD3l9z98f7xD4GngAtJuMiuaUQsGmxdX5jZWcA73P0z\nAO5+wt1/QAv7Avjf9F6UfsrMTgF+CvgOLekLd/+vwPeGLkd992uAz7n7a+7+HPAsvTE2krIFwIXA\n8wPnL/SvtY7+m84VwJ+TfJFd0xi1aLCNfXEJ8LKZ/aGZ/aWZfcrM3kAL+8Ld/wb498C36Q3833f3\nQ7SwLwaI+u4X0BtDVxg7npYtAGSBBszsTOBPgB3u/n8G0/q75DS+nwYXDRIRMqQtfUFvgeZbgd9z\n97cCP2K7954JAAABm0lEQVRIxdGWvjCzTcC/BjbSG+DONLOtg3na0hejSPDdY/ulbAHwInDxwPnF\nrJVgjcfMTqU3+H/W3R/oXz5mZuf1088HvltW+wrkHwHvN7P/CXwOeJeZfZZ29sULwAvu/tX++efp\nCYSXWtgXvwj8N3d/xd1PAH8KvJ129sUKUc/E8Hh6Uf9aJGULgMeAS81so5mdRs+Asb/kNhWGmRlw\nL/Cku985kLQfuL5/fD3wwPD/Ng13v9ndL3b3S+gZ+b7i7r9CO/viJeB5M3tT/9K7gW8CX6BlfUHP\n+L3ZzF7ff17eTc9JoI19sULUM7Ef+LCZnWZmlwCXAn8RW5K7l/oB3gP8D3oGi5vKbk/B3/2X6em7\nHwe+1v/MAucAXwKeBpbprbIuvb0F9ssUsL9/3Mq+AH4e+CrwdXpvvWe1uC8+SU8APkHP6HlqW/qC\n3mz4O8D/o2cv/Wjcdwdu7o+lR4DOuPK1EEwIIVpK2SogIYQQJSEBIIQQLUUCQAghWooEgBBCtBQJ\nACGEaCkSAEII0VIkAIQQoqVIAAghREv5/1aCS+J8WLg4AAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x118a6b490>"
       ]
      }
     ],
     "prompt_number": 34
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Pole-Zero Plots"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Let's do some pole-zero plots.  Since the filters have no poles, we only have to worry about the zeros."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "z, p, k = sig.tf2zpk(h,1)\n",
      "z"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 61,
       "text": [
        "array([ 1.53330017+0.j        , -0.99486419+0.10121875j,\n",
        "       -0.99486419-0.10121875j, -0.95409239+0.29951247j,\n",
        "       -0.95409239-0.29951247j, -0.87421228+0.48554391j,\n",
        "       -0.87421228-0.48554391j, -0.75848152+0.65169455j,\n",
        "       -0.75848152-0.65169455j, -0.61161532+0.7911553j ,\n",
        "       -0.61161532-0.7911553j , -0.43958666+0.89820018j,\n",
        "       -0.43958666-0.89820018j, -0.24936678+0.96840911j,\n",
        "       -0.24936678-0.96840911j, -0.04860325+0.99881816j,\n",
        "       -0.04860325-0.99881816j,  0.15479768+0.98794619j,\n",
        "        0.15479768-0.98794619j,  0.35338136+0.93547935j,\n",
        "        0.35338136-0.93547935j,  0.65218802+0.j        ,\n",
        "        0.54275400+0.83989172j,  0.54275400-0.83989172j,\n",
        "        0.81062009+0.77712424j,  0.81062009-0.77712424j,\n",
        "        0.76018662+0.64970478j,  0.76018662-0.64970478j,\n",
        "        0.64282531+0.61626296j,  0.64282531-0.61626296j])"
       ]
      }
     ],
     "prompt_number": 61
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "theta = linspace(-pi,pi,201)\n",
      "plot(cos(theta),sin(theta))\n",
      "fig = scatter(real(z),imag(z))\n",
      "axes().set_aspect('equal')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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Pn85VV6kdTFpPyoTm7rFUrzfBB2xpySVx//2GCk+cOPGr+0VFRRQVFaV5eEkm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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x11967f0d0>"
       ]
      }
     ],
     "prompt_number": 49
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "z, p, k = sig.tf2zpk(hbp,[1])\n",
      "theta = linspace(-pi,pi,201)\n",
      "plot(cos(theta),sin(theta))\n",
      "fig = scatter(real(z),imag(z))\n",
      "axes().set_aspect('equal')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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GTf3SntC0NhE1lNAGAOVhr8cD4+tpm6pjY1TV7x8RSgo1Ce3f2rz51/rNb6qO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\njPEMS2jGGM/4/2joddOn3BmaAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x11974f650>"
       ]
      }
     ],
     "prompt_number": 50
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Remember, zeros can be outside the unit circle without affecting stability."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [],
     "language": "python",
     "metadata": {},
     "outputs": []
    }
   ],
   "metadata": {}
  }
 ]
}