{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import numpy, scipy, matplotlib.pyplot as plt, urllib, IPython.display\n", "plt.rcParams['figure.figsize'] = (14,5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[← Back to Index](index.html)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Zero Crossing Rate" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The [zero crossing rate](https://en.wikipedia.org/wiki/Zero-crossing_rate) indicates the number of times that a signal crosses the horizontal axis." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's load a signal:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "x, fs = librosa.load('simple_loop.wav')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Listen to the signal:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "IPython.display.Audio(x, rate=fs)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot the signal:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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eVrDOrK9uilVr27dq7Ts55XAbfRS0UWoZH+lmg4oVHbqxcnbYNAVyxa2zTtC7DspZE6Su\nsh7IFNINnl48unW6Zwq7aY7gOZ+IiNrEH0GQbreClbU9MVTdBGSrOc/aXiK09QgJZoI6mHdNkLCz\nw6Vq64XxppRbap2g8/F3N5IWVhDU6qxoCuF+b05todIxZ0NtnvKJiKhd/BEEmdbspoS0y1+AqmpC\naR0Dufto0NYjhOCAp4MJdzmMhLDPC1XNRLVFiaxuiC3VHtraOa3WLEZKa+KnVbmbEBKmKWGYArNL\nW2dfHdMu89uK652IiGhj+CIIMuq6w1kX/apmYrXLnWGPlF4+vnXKPsgiuCaoozkDfel0h7PXw7Rq\nlmIYYktlh+ubQzhBAGC0CASscjhrL6Gt9FqYpoAQ1j9ERETt4I8gyG0FW5vxs5oitJjxlNKdFX3j\n9MK1OVC6ZkxhlcBQZ5L2QN/aN6yWJa5qKwdBmiHc9TBbgbMmyG2RLSUMIVp2yDOFhG5K5MsatK0U\nBInVA0AiIqIr4YsgSLcHLtIOgKSUqOomWlR92JkCiapqYm6peo2OlK4VIVuX/dDWZsr6c4IQEgqs\nbNBKdMPcUuVSstYh2z4vWhMDrSYHhJ0Jms1WttQ+W85asK2U3SIioo3liyBIeDJBUkpIAWi62XIQ\nbJpWELSQr0JfpWMSbT5CYEsN4ujK1MrhZG2fHKdhygqsTJCwN1ve/OeEug1jZa1JRKsyUd0UME2J\nmWx5SwUMzrpRVsMREVG7+CIIMj31/84+F7ohWu58bgoBwxC4NF9ClUHQluNk+qgzOd99q0S2tmGq\n0WJgr9tBUL6s46W3Zq/Rka4f4SmHczLkhhAtvxeG/RoUSvqq7bQ3EycTZDAKIiKiNvFFECQ9naBM\nYQ18DFOuugBYSIlzU3lumroFcbPUzua889Z6IHs9jNk6ANDtNUHzSxVMLZSuyXGuJ/fj72yWandH\nW+01MIVEsaJB1bdOSanmlsNtjedDREQbzxdBkJDC899W/f9q9f2mkJAAZrIVaLrpBkJyi1z0O50z\n4GNJXGeqdUaTkML6x2n9vBLdtLIgUwulLdFeXXpKAp2umU4Z8EqcDaTzZSsTVLW76b1xen79D3gd\n6bodBHFihIiI2sQfQZC7KaA94IHVLKHV7uDCHiDnyxoqmolixdof5JUTm78Mhpz3Fy0HvbR1Od3h\nhIS9T5D1WWiVCTBNq4w2X9ahbYFSMCcQtDJhqO0T1OI74XxfShUdqmaibO+bNJ/b3M1jnOCOMRAR\nEbWLP4IgJ3sja4GQYYiW5XCGHQRVVGsX+WzeusgvFbVrcci0jqSdDRRia7U8psvnfvWlFQxLWOWx\nrc4JQkpouoly1UBF3fybptaSYc4m0tbzX60cDgBKVQOmkFgqqgCAQnlznxfd7nCMgoiIqE38EQR5\nFkELexH0avX/VgOFWrcoZ3f0QnnzD346XW13eC6E7lTOYFegFhSbl5Ed1gyBclVHucWmqptF3Yax\ndkncqpND9uvjZMIWC1YQVKwY63y068t5XtwniIiI2sUXQZDpqX13uyCZrTcF1OwWuJpm18CXrJnO\nUoVB0GbnrHswpdUBkDpPLRNkrxOUdkfIVSZGNMNEsaqjolqDfiklzk7lr8ERt5+3HM5pk62vcl50\n9lxzysecDNBmPy86E2JcI0hERO3iiyCofj8Mu+xjlUXQzuC4bJe9OIOeUnVzX+zJyv4IKSFW6RBI\nW5d0zwmylgURsuXeN05r/WK5FgSZQmJitnBNjrndvI0RhHAmh1q/Bs5tzvOv2pvLltXNnQlygp+t\ntPcRERFtLH8EQe6Mp4TpyQS1KofT7G5Bzq9UnIt9dXNf7MnKBDllkVth00u6cu45QVot9IUdAK2a\nCdIFihUrCJLS+nNlk5bGOcvhpPS2yBYtO985jSOctXSqbtqbx27u4MGpFuDeYURE1C6+CILcvgjC\n6gplCrs73GXUvjuctUHsJrb5OWuCAGyJLl905dzssJB2d7jV20M7bdUrqomqZv2jG+amnRjxtvt3\nyuEMQ7RsDrB8XyDdsCaUNvvWAc66UQZBRETULqGNPgAAEKK2x49zjTPN1p3Bls9sGu4MKIOgzc40\nhVv2omp8PztRXdt8OxOyajmcfVO+rME0BXIlFcFAAFVtcwZBddkw+3VYbbPU5TcZhrWH2iaPgdzg\njpulEhFRu/giE2Quu9gDTne4lWcw9WWDIcOwyj44U7j5GaIWDGssh+tItYmR2j/GKhMjTtCgGwJC\nAnNLVai6CVXfnIG0myG3J4fEZTSMWX6bIaT9emzu86K7JojdIomIqE18EQTVdUHyDGRMIVcc9CzP\n+Oj2GiLGQJufN/BRNQZBncj5Hjv749TK4Vo0BVg20F8sVFGuGlCU9TzS9eM8VwmrTFheVkng8skh\nYQVBm/zE6GaCGAMREVGb+CMI8gxenP9yZjxXKm9bXg7n7BYvN/nFngDdM3OvbvIF3bQ2TkDjbJ7s\nnAtalUMtH+hrukBZ1aFgc0ZBtbWSdiBol8KZdkDU9D7Lvi66KaDaWfLNzIl92R2OiIjaxR9BkPD+\nd627kSlkQ9mbY/lsqGGKLVH2QfUBLhsjdCZnMkPa2V1p7xO0WmMEL8MQqKrmps0EuZulwrtXkrUu\naqXXodlrUFFNbPazopsJkq0b5hAREV0ufwRB3kyQ/Z+GKWCIlTfLXH4h1E0BzTC5JmgLUD2BDwc8\nnalWDudtD906E9DsnFDVTGzSRJBnn6DaedEp+V0pI9bQHc4UdrvwdT3Udee8t62qA4iIiK6EP4Ig\nz+ClVvstYRorZ4IauyAJ6HrrmWLaHLyZoOXrPKgz1DqjedcErb5PkJe+ydfD1D77nvOjsDonrpwh\nr/+zYQpUVWPzZ4I8m6UyCCIionbwRxAkG4MgISQkapuiNtynYdZXoqIZm772neqDIMGWuB1JeJsC\n2CVQhhAtM0HLA2bdziZv1okRZ32PkNZG0oAV5JgtsiHLz3+GIVHVTWz2VJC3MYLOcwIREbWBL4Ig\nb2mHc+F3Bi4r7fHR0AVpi5R9EKCbtXK4zTqApavjfdtNYU16mKZsmQlqaApgWI0UNutiendNkJSQ\n0qrpc9ZFrRgENSsT1s1Nv1bS2yJ7pRJpIiKiK+GLIKhZJshpD7tSi+TlAx7DkKhom78LElnvpYP7\ngnQmbwAAWBkh0w6EVrL8s2IYwu4yuW6Hua7c5hASbibHMFtvHbA8G2bYJYSbNA50ObGdYXJNEBER\ntYdvgyDnIr9SENRwsRcmqqrBfYK2AO/ngeOdzlRbCG/9WUq7HK5FRLP8u6/bQdBmDaSd5yOldMvh\nnPPiyhnyxkyQaQq3vHCz8h7/Ss+diIjoSvgiCJJNGiM4s33VFVokN7SCNSXKqgEh2EJ1s/MGuJt9\n8EZr490sFbAyv6bRuhyuWXc4Y5XNRf2slg2rZb6dUrCVWscvfw0MpyRwk3+NvIkvdYV1okRERFfC\nF0HQSvsEAYC2UovsZWMAZ08Qq5UuL5KbmbcZwmYfvNHaSHcNiH0+sBultGqU0ZAF0a0sSKsSOj9z\nO+QBEKi9DgBQ1VZqjFD/Z8OU0IytkAmqPTGVe4cREVEb+CMIqpv5b6xpb36f+p/rQqCqmy3r5Wlz\nEMwEdbxaBsge/BvWwLdVSVzzTJDYtG3WvYe9/CmoK5XDNTl/qpoJUzR2jttMvOeElUqkiYiIroQ/\ngiDPhXt5/LJyELTs9wxprQlq0TmJF8/NwVu+tFlLmejqOO+7E8Bo9nfaNGVd4wyvhhJZwyqHE5s0\nndhqcuhKyoRV3YQQYsUOceWq/9fYMBNERETt5osgyDvQXT7zr1/mPkEAUFaNlpmg549OX8VR0rVS\n3xiBQVAn8u4XZv0b7p9X3EB5pTVBm/QjJFpMBlTUlYKg+j/rhmkFQdIKiJplg156y//nRe85YaX1\nUERERFfCF0FQ/Yxn/W0rXfCaXcwrqmGvARCYmC003D61WL66A6Vrwrvei00uOo+zOSrQPLBZKaO7\n/NyhGwK6MFvuEzSfq1zdwa4j71Nf/jW43MYIQgJVzbT2FzIFnj8603CfqQX/nxe97y0nRoiIqB18\nFwQt55Q+LP+dZoPjimbPeAqJQ6fmG26fX/LvgIdqvOu9OODpPFLW1sAsf/8NU6JQ1prez2yygbJp\n1LrDNZs4efXEXBuOeH3IFmvjnPPizGIJEzO1CZ9m59KKakAI67VrNjk0l6u265DXTausGBER0Vr4\nIwhqcVFT7e5wX/r7V/HmmQX3580uhM4MsaoZuDRXari9tAlq32nZgGez1jLRmpme9SvNvueLBbXp\n/RqyRoa1UagTQDQrh70033ie8ItWa4I03YQQEv/v1w/j5ROzAIALs4WGTaSBWibIMAVms40TQeWq\n3t4DXwfeIJDnBCIiagdfBEGyRRCk6SYMU2A+V8VhO7szky03nfHU7Q5Sqm4iV2qcLXZKSGayZVRU\nBkR+VbdGrNmojrY0c5W9vnIlFbmiil8evlR3Hlj+UdFNYbXJFlZAdGGmWH+70fw84Rei7ntQf5uq\nmShWdeRLOnIFDfmyhuePTDc9L6qaaTWUELLpRJBmr7v83vPnfNs8xvv8uQUCERG1gy+CoFbVDZou\nUK4aqGomlooqdEPgRy9daHofpyGCqou67klvnpm3f2797LvPncN//ubh9j0Baivv4E9foRMYbV2m\nkC1LZKuaidOX8vhvPziO4+cWa/dr0h1OM6wsSEUzkF2WQSpXjdo+RD7sINfqvKjqAvmSClU3sVRS\n8fbEEjRdNJQEAtZzk7AmgbyttWftySTnvHh6Moe//9GJdj+NtvC+t9wslYiI2sEXQVCrmT1VN5Ev\na9bFvqDiwkwBxYreNHvkDGh03XRnNKWU+NFLE9bPDaskRDcEL6Q+5n1ri5XGUp0zl/LX8GjoWjOF\nbNgXx0vTTCwWrHUs52eKmJgt4PRkrmkTBc2wMkFV1YBm1CZGLs4VUazqbtOEJ7/6Gn700oX2P5mr\n0CpDrhomZrPWa7BUVDE5X4JEYzYMqJ0XixXN3XxaSolv/fwMqqrpTh7phkCu2LzUcKN5X4tykyz+\nL9+4dC0Ph4iItgBfBEGtqhs03XQ7OGWLGk5cWIKiKE03QHQGNFVdQLXL6GaXysiVNeiGCd0QqGpm\nw4wo+Yt3MFuoNJYrPfWrcy0zBbS5maZsufhdNYTbInqxUMWRM4u4tFBqukeO0y0yX9LctSSz2TJ+\n8soEsgXVDbYqqoFLC/5aH7Raw5hswQmCNMxmK1A1o+l9nCxXvqRDt4OgqYUysgUVFTs4lFJC1QUq\nPi2H834eKstK+gxT4Pkj/m/zTURE/uKPIGjVi701O5krqjgzlYeqmU3XDDgzmqWKBt0QKFUNvH5y\nAYYhUVGt4KeqGajqzt4ZHEj7kXfAUyzrDeu3looqpny8oJ2ujhDN97NxVDUTVfszkS2omMtVUKoY\nTc8JqmGdK7JF1f1cvXJiDoCCpYIKIa2/S9VMVH0WALQsE9ZMVO1AsFDWMTlXtDdFbbZWUti/p7m/\nc+jUPEwhUKho7qayqieD7jfec3VFrc8OTy2UUGiSMSYiImrFH0FQi1SQptdmfYUELswUUNXNpoMk\np7a9pFrBTrGiYXK+6P53RTNRVg2omnWxr7I5gi95BzylqoG5Za3NK5qBY+ez1/qw6Bqx9rRpMTGi\nGW5gvJhXMbdUQUVbIQjSTJhSYqmguqVgEzMFVFQDZdXKFlc1a1KkusIGpBulZddM3aybHJjJVqDq\nomng5DzvbMGaHKpoBqbmS6ioBpaKKgzTypxrhomKZrQMQDeKqCuHq3+fTk4soVzV2TCBiIiuiD+C\noFYznoaou9gv5quoqmbTchnnZ5WqAd2QWMipWMhXUVFNTM5bGwIWS9ZsaFUz2TLbp5YP/s579kEp\nVXUUSprb6vcHL5yvC5KWCo17nvzqyDRmuFHupmEKiVbDcNUw3YmRbEHFXLaK6gqlYE7WuKzWSmAn\n50vWZIhuuo1XVN2sa6biB62CkeWla1V7YqdVdnupqELTrfPeXK6Csmo1izBM6xyr6cLNiFV9Vi7s\nfVrLM8PzuSrynnPC8iYXJyeWGh6v2XmCiIg6iz+CoFYtsg2zbnNEIYGqbrQMnEr2OpJsoYqlgtVB\naXLOao9t7BUYAAAgAElEQVSbL+t2KZx1+88PTbr38/Pu8Z1k+UBuqVB7/y/OFlFWTTfwOXZuEX/3\nw1pHqx+8NOEOHi/MFCCkxMW5Ip5+9eI1OHJqB22VYETTahMjuZKGBXdipPF3hbSCqopmdZgsV3Us\n5quoVHWomgnNEMiVVBim9NXAX8rWHfI0w2xoEKDpRstmCoWyDiGBpYKKpaKGimpiIVeFKazJJadc\nuFTR8UNPk4izUxvfiMRbLVBW6wPexbwKUwCnJnMAgD/9h9fx3efOurf/wtM04Rn7PPB3Pzzpy46A\nRER07fg/CNJNFMr19d7VFdYEOYp2hmchb13sAWv2F7AWETv7YizkVRyy9x4CgL/+7rGWj0vrTwiJ\n+aX6WVqnOcI3f3YaZ+wB2bnpPBbzVVxaKGPOswHkpfmS21Hu2TemMLNYxlKhiiNnF/nebhLOGpaV\nqLpVtuUwhURFbV4O59yu2iVvJyeWUFbtsljdgG6YmLM/b0526aev1QLm19+eu9qnsyZitSBIM1Fs\nOC82L4dz72N3x5ucKyFfskrjFvLWesu5XAWqYQWSi4Uq3r5oBRSFiob/+r1jG1oid/x8tu55VVQD\nZfscX6rqmJi1MsULOSsjOLtYxvnpWvZ4ZqGWBX7Nfj9zJRWvHJ+9BkdPRER+5Y8gqMUF1jBlQxCk\n2h3eVuLMEk/MFNzFzjk7GCpWNHftULGsI1/SUNUMnJzI4sJMAdOLtQX3hbLmy/r4rezHr0y4gY6j\nWLYGbC+/NYNfHp4CYHW6+sq/HEe2oKJUrTVPqFQNLOStQa1hChw7l8ViwSqL9PPGmFRjtFgPBDSu\nhwGAitZ8nSBgdY2sqAYqmoGTE9bgvqIaqKpWJsjJAKuaAd0QeP1ta2Lk5MQSfvDixrTNFqu0CVd1\nE6XqsvOi0bxM2OEEl6cml9zz4kLO+q7MZasw7D255nMqckXr3Pf9589jNlvBbLbivr7ffvYspq9R\nJ71y1cDf/svxusDY2jPOOu5/fPptTC9a79+lhRLeOpdFvqyjaL82uiHqmiYUyjoKZQ2Fso5j57iu\nkIiok/kjCFplht5bDgfY3aFaBEHOBXPWs1bEKXXJ2wNqAKjqJspVA4s5Fa+enIeqC5yYyOGEvej+\nBy+cx3//4ckrf0K0ZkfPLjT87O2LOXz72TOYy1Ux7Vnb45S/lKoGFvLWe13RDEzbM7+lqoHZbBlL\n9oLwqfniNXgGdLW0y8gELe/kVm2RCRLSmjgxDIkp+/NTVq39x6xyW2uQXNVMzC5V3D//7PWLbjDg\neOpX5xq6k60HU8iW50Uh0bCmUdNMGC1eO6f8a2axdl50Ainvurp8yZpYKFUNLOSqMEyJo2drZacz\ni2X8409PXfmTWoOZbAmz2QpmsvWlytMLFSzkK3jdk8l/e2IJxy9Y5+5SxXpt5vMVlKuGO2lW1Qy8\ndnIOuZJWN+FFRESdxx9B0CrJlmZ7VyzfK8LLCXLKnt9xBk1OeZz1GDoqmomL80V3oexctox/+uUZ\nlKs6ciUNr5ycdTNHtP4WC43ZmoW8iqdfnWz4ecXTJWpyroSqZqBQ1t33uFjRMTlXwpK9AeR0k+YI\nzx+ZxoSn8QJtvNXWaqhaYyZo+TqR5Zzyudms9RmwNgbVYBjSLZ/UDIG3J7Io20HO1GIF2UIVc0sV\nfPdX1hqTw6cX8Hf/cqLJ39BeQrQuhwPQmAnSTejG6pND3g2InZbYec9E0+xSBfmyjvmlips9nZwv\n4siZBbej3IWZ4jXpxnZhpvnExWKhiqdfmXSDHQDIlXS8dtIKikpVKyi+MF1ERTWQK2n2micTr56Y\ns97/kt40e7j8s0VERFuTP4KgVS6mlWrjzGurwEQ3a/tiODRPCZxjsaDaC6VVLBacgXIFUwtlnLy4\nhMWCikJZx8Rs/YW42QztS2/NXLMSka2qXNXdgGW51QLRxYKKqQVrPVDZ/rwUKxouzhfdzEKzvURe\nPTnnZpTIH1oN5AErWFnexKCqmS0nU5z213lPSaQTDOQ8n7m3zlulYsWKjmzeyoL86sg0Xjo2C8MU\nWMxXMZ29vAYqF+fWnnk0VymHA+oneQBrMqlVFs2dHPJksqpuhqT2mk8tlCGExKWFkhsEvXlmEQt5\nFWcu5bBUVJErqg2TCtkm391nXrvYkMm/EiudD944vYDXTjau13JKYctVHfmyhsV8FaaQmF4sY6mo\nolTR3QqBfElDflmptRASf/71w1w/SETUAXwRBK12sdebrBFodbF3ZpK91zFnwOAdPM1kK/aaI83d\nkPX0ZA7Fio6JmSKW7J+dvZRHtqhCSom3Ly7hP/zXF+tKKYoVDd9+9iwOn24s5aLLd24q3zCwu1yl\nio5zU1ZGp2jPAhcrBvKl2iBn+ULypaKKkxNLWMw3H2jRxlhtTVC5ajR0glM1o+VkijPY95aQOd3V\nvMHxfK6CUkXHG6fn3QHyi8dmsZiv4u2LS8gVVWTz1bqg/OjZRfzt99+q+/tmFkv4L//05pqzCmKV\ncriVtJoscNYLFT3ZE+f75r3fUqGWOS3YQdC8vXbo+IUl5IoahLTKVM9cykFKiUNvz+OLX3mlbt3d\nbLaC779wHm9cxXlx+XpQx7Fz2bpy5+U0Q2AuW3EzXHNLFVxaKEFIIGc/P1U3cWFZFvjpVy/i7FSe\npXJERB3AF0HQamUfzWgtdjZvNngw7J95gydnVnh6sew2TnAGRN4yqsV8Ff/8izM4P1PAqyfmcGmh\njDfPLLqP8/yRGUwtlBv2onnz9Dz++rtHG9YQZAuqb3dm30jnVih9uRylqlFb72GXMhaXZX6KyzKK\nv3pzGsWKjqW6gVsZh+yF8Zpu4tx0fZOGQlnD//O1191Zdaechu1222e17nDNVLXmLbIdzd4fJ/vh\nDbyLFauN9CvHa1mGmWwZFc3Ej1++CCGtNvsTMwX8z1+cAQD85JWLOHRqvu47/cOXJzCTrTQEAM++\ncalpV7LlZVnmZZTDNdPqvNKqaYK30YxTOjg5V2ooRT41mXN/trBUtZokLJbx+ttzWCyoOHqm9nx/\ndWQKi3m1ISP22slZfPe5c3XPWQiJc9P5hvfparJIlxZK7jm+WNExl7UCOdXz+bo0Xx/snLiQhSkk\nTkzUssPfe/4csvmV9xV68/Q8XjlhvadSyrp/iIjIv0JruZMQAp/73Odw8uRJhMNhfPGLX8T4+Lh7\n+zPPPIMvf/nLCIVC+NjHPoaPf/zjqzzelV8sjBb3aTWI8t7mDH4m50sNA4RzMwWodivtxYKKXMlq\np+3sNzSzWMZrJ+cw0hvHhP2z6WwtCBJS4vsvXMCJiSUM9MTxG+/ZDcDa+PP//uprODDejT/82C1Q\nFMW9z2K+ip8dmsTD7xxHIha+rNdhLltBXyaGQEBZ/ZdhXaS9f6efODPQa1GsWPu/ANai6EvzxYbP\ngXcGHADO2gGOt+TmxWMzePtiDrft68cLR6fx9KsX8X9+8iCCgQDeOD2PbFHF0XNZ/Md/eB2DPXGc\nm8ojk4pgIa/i3TcN4723juDV43N44M7ta34unW4t5wMhW2dBWpaJmY3nhNls4/qxSU9jjZMXc3j+\n2DTuu30bLi0UkS/reOvCIga64xjtT2Fyzhpcn5vO464bhgBYZXfffe4cihUdo/1JjPQnAQA/eWUC\nP3jxAh6+axwP2p+btWaCLqccbrXbnIxpszV03omeRXu91Gsn59xAZ3K+hOfenMJNu3tx0X4NZrP1\nDWq+/dw5XJwpoq87hrtvHAYAHDo1h//yT0fw3tu34Xc+cJ37+8vL1a5EvqS5mZ5ytXnjDG/myjCF\nW/o853n/T1xYQrGs47ce2IfvPncOgQDwoXfvxHNvTmF0IIlXT87h2LksFnJVnJ7MWYGVoqA3HcWn\nHjoARQFU3cDYQBpSSphCIhT0xfwjEVFHW1MQ9JOf/AS6ruNrX/saDh8+jCeffBJf/vKXAQC6ruPJ\nJ5/Et771LcRiMXziE5/A+973PvT19a34eGuZ8Wyl1UCg6ilPcQZNuSZ15wuejVPnliqYzZaRjIVx\nye48NpstI1/S0J2KuoHRXLYCwxT42aFJ/PLwlHtBPWXvuSGlxK+OTKGqmXjj1AJ++NIEHr7LCh6P\nnl3A154+hcn5Ei7NlfAHH7sFAPDzQ5N29qmEZCyMT7x/H64b7wEAfPu5s/jRixcw1JvA//abN6E/\nE4cQEj8/NImJuSIuzZcx2p/E4w/sQzgUwC/fuISnX72IsYEUHnzHduwYSkNIiTOXcnjpmNUAoj8T\nw3tvH0VXIoJ8ScWPXrmIYlnH2EASO4fT6ElHkU5EcHYqj+MXlmCaAtv6k7huRw8MUyBf0nDeLiUM\nBBXsGErjxp090AyB89MFnLiQhWEC40Mp7BntQiwSwtxSGWcm8zh/FQ0KZhbL7qCtVNXx1vnG9rfe\nzJBhClyw9xJZKqjurO35GesYX3lrBm9dWMLEXAnffe4cerqieOmtWfR1xaz3dDLnriVyPhPfffYs\nXjg6DSGAu28ewbefPYszUznctncA/ZkY3nn9EISQ+PpPT+GD796BrkQEb53P4viFLO67dRtOXFzC\nhdnT2LutCwf3DwCwPqNzSxUMdseRK2mIRYKoqAb6MjEoUPDMaxeRjIdhmAKhoIKxgTSCAatcaGK2\niIpmIh4OIpOKIBoJIhwMwJQSpimQTkSQjIUxOpDExGwRiWgIu7d1QdVNHD27iFAwgAPjPdAMEycv\nLKFQ1hCPhbFntAsLS1UkYiHMLlUQCgSgKNaC8gPjPQiHAqhoBi7Zg+BS1UAsEoSQEuFgANFwEJFw\nAMGA9Xu6IVCq6DCERDQcwOlL7V+j1aqlvjer7JTL5ZtkIBY92YBDb89jfqmKb/38jLvP0JnJPL7z\n7Dk8et8eN8MwvWCdR559Ywo/fvkC5uyysl+8cQm/9b59AIAjZxeRLaj4wQvnsW8sg53DXTClXLVh\nzJVq9Rp4gyDn712eSQXqG8ucmy5gerGCkxNLuDRvfQfmchVcnCtiaqGMS3bQ6ARBLxydxvdeOO8G\niEfPLLhB0JtnFiEBvPTWLO66fhgHxrshhKxbw3Wl3jyzgMn5WqdIs0k20HvuP3JmwX1/5u0S2XLV\nwIXZAuZyVdx98zBefGsGc9ky+jMxvHBsBplkBBdmCpjPVfGPz9R3zLs0X8J/+sYhhENBDPbE8aF3\n78Df2x32HrxzO27d2494NISLc0V859mz+Oi9uzHUm8DkfAnlqoHtgyl857lzOD+dx4fevQM37rKu\nocWKjqNnFzHSn8BivoqbdvW5QdXEbBFPvzqB7YMpSCi4dU8fUvEw5pYqeOnYDC4tlBEIAEM9CQz1\nJqAbJgxTYqmoIhoOIpUI4/a9/YhGQm6nzu1DaVSrBopVAyN9CUQjQZy6mMPUQglSAqMDSewYSmMh\nV8VioYpcUUMkEkQsHEQ8GsLOkS5UVQMX50tYKqgIhwKQUiKTisAwJAxTWOejZBSRUACGENB1gWxB\nhW4KBAMKuhIRvNOeTCAiahdFriFn/+STT+KWW27BBz/4QQDAvffei1/84hcAgOPHj+PP/uzP8Dd/\n8zcAgC996Uu4/fbb8fDDD6/4eI/9++/5uiNPOBSAbgh0JSPuRbk/E4Oqm0jFw1gqqm6nspG+BGaz\n5brSnHg0iIP7BjCfr6JcNdzgqDsVwYfevROX5ot46a1ZdwAWCwfxx4/fhrcnl/A/f36mbk1UOhHG\n3TcNwzStYMe5bbQvgZGBFOaz5Yaysht39qI7HcErx2fd7FYkFEB3OgohJBbz1boBV19XDF3JMGay\nlYY1OuFQALFIECW7bMgRDQdgmLJpyU06EYZpCpTV+kFYKKhYA2b16ksDA0pt8BYJB2AYjRtH9mdi\neOz+vQiHAjhydhFP27vHp+JhHNzfj3LVwLlpa0Az0B2DkBILORVDPXEMdMdx5Owi0onwiusUvHaN\npHF2qhbUxcJBPPSO7ZjOlvHSW7PuY56cWIJmCCRjIff9j4QDePcNw5jPVzAxY2UZMskIyqqBUECB\nbgoM9ybsxeuNs/VXKhiA+3lNxkIwhXRLxZwBy2rrdBwBBVAUtCxN2wrikSAqmomedNRdTzg+lMLF\n2SK29afczEgiFsJQTwIXZgp1343xwRRG+pPo64rhZ4cm3e/ZzuE0PnT3Trx4dBqvnLh2G7UGAsBa\nm73FoyH3/L2tP4FsQUUmGcFstgIhgXBIwbb+FCbninWfo4HuOO68bsBazzddcDvBbR9M4bcf2Ifn\njs3g2cOX1vycnPcIAFKxEEKhQF0QB1iv9+//qxvw7WfPYXK+6GavtvUl0JWMQFEUd0Ilk4y4maNt\nfQnM56uIhhvPhc1EwwH0d8fdABCwPgPvunEIh07N4+REDql4CAOZOC7MFgFIpBNRN0vdnY7goTu2\n49iFLM5O5eu64vVnYgiHAkjHw5iYK9VdS6PhAELBgLWZ8GVe6RPRIAC452sFgHPXcCiAYEBpaFHv\nXCObP/cgdKN145LVxCNB/JtfvxG37Olf+4NscgMDaczNsZMp0cBAum2PtaYg6E/+5E/w0EMP4d57\n7wUA3H///Xj66acRCATwyiuv4Ktf/Sr+/M//HADwF3/xFxgZGWlZEvdb//6phgGy30XDAai6cP+9\nmkwqgmJZRzgUqLuAbB9MIVtUGxbt7x3LQDNq2Yq6x0pGEAwG6mamW3Eq5Tq94VFXIoy+7jgCioJs\nXsWi3RY9FFTQm4mhXNGhGtYsJFALDkJBBZlU1N1Y8nJ4AwvHUG8CpYrWUJbXTDoRuar1EHRthIKK\nO7B3AllvQLuSeCQIU0p0JaOY9yzwDwcVbB/uwvRCac1NQjaSExCFg0rThjZekVAAfZm4tYeTMN0m\nJsGAgp3brNegdBnflasRiwQxPtyFiel83fqn1Y7fO+lyNUb6E1jIVaFdxjVkuC/h7oHWiW7Y1Yvt\nQ+0b/BDR5vTQXTuw366IulprKodLpVIolWozWkIIBAJWOj6dTtfdViqVkMlkWj9gm9eotOsC5XBm\nAEf7k5jJlmGYEkP2THw6EcFMtozFvIpIKID33DKCt85nMeW5WA10x/A7D1+Hi3NFvHUu6y6W3jeW\nwb/7xO24OFfEPz59CicmlgAAgz1x/B+P3YrFvIov//ORusW7N+zswe8+ch1UzcRf/tObmMlWoAC4\n++Zh3LjTqsN/7eQcZrNlCGkNSj56727sGErhv//4JC7MFBEJB7BvrBtDPXGYQmJmsYxzUwVUdRPd\nqShu2NmD3q4ophbKeHtiCYWyjsHeOLpTUcQjIcSiQatV8EIZppDo7YphIBODKSRU3USuZO3IHlCs\n2d7Bnjh0UyJXVDG1UIYpBAZ7EuhORRAJBVCo6FgqqFbDiMsYDDTjHXj2dkWRiocb9hhJxsP4vz51\nBxTFWgD95994w83wffL9+1FRDfzLixdwbrqAW/b0oVjWcWYqj31j3ejPxPDaiVn0dMXc2eKVBAPA\nA3duxwtHppEv6+jPxJCKh/GHj96Mc1MFfOUHJ3DL3j6MDaTw2sk5TC2WsHc0g/lcFZNzJewYTuNT\nD+3HmUt5nJ7MIWeXXRYrujvjOtKbgCkl3jy9gEgoACElgoEAUokwFChYyFcw7dkUMxkLIRoOIhS0\nftc0JRKxkDWDnAgjX9YRCgbQl45CNwXmcxUoioK+Lut9XcxXUVYNRMNBdKeiUDUDoZA1w6woChRF\ngWEI9KSjCNjZqnLFgKJYZVhWuY6EogQQDADBQABQapuC6oaAKQRCwYBdAnj5AeflaHVOCASUhvUi\nzYJYr950FIsFFcO9CffzcP2OHhy/sITrdnS7jRW29SVwx3WDOHRyDhOez82B8W6897ZRDPcl8J+/\ncdh9r+6+eQSfefg6/PLwJP7bD9Z/PyJHJBRoKCMOBwN166WWi0eDqKgmBrpj7vs1NpBErqihvzuG\ns5eswKIrEcY9t2zDm2cW7CyHZftQGr/9wF4UqwZ+9NIFHC1ZGZe7bhjCv/7wDTh5KY+/+PqhNQeD\n3izdzuE0IqEATl6sL7W8brwHf/joLXj97Tm8cHQGL9tNK/aMZnDr3n5ouol//uVZKApw464+HL+Q\nhW4I3LavH+enC4hHQ/Z3o/Uk3mB3HLtHu/DC0RkAwI6hFK7f2YtH79uDrz9zCs+8dhE37+7Dtv4k\nzk0XYBoCPV1RHDm7iEJZx407e/AHH7sFv3pzCscvZDG7VEUqFkJVMzE2mLK/xxGcnszh2LlF9Gdi\nUBQFQz1xRMMhFCoazk8X3HNkPBq0vtumhCGsDqnhUACpWBgj/UkEAgpms2UoioJ0IgzDENBNgVQ8\ngnBQwUK+iqWiCimt1zmTjKKiGahqJipVA+FQAKFQAKGAgkwq4pa8VjQToaACKa0MkZASQgASEpFQ\nAIpi3SaEQMXe4DgUVBCNBPG/fuQGJOORNX0WtgJmgogs7cwErSkIOnjwIH7605/ikUcewaFDh3Dg\nwAH3tt27d+P8+fPI5XKIx+N4+eWX8cQTT7R8vECbg6BIONiQrnc4F26vLnsQ6JWIBt0L27b+JCLh\nAPaMZgBITM6XMdiTQCYZtsqkzihYzKsY6I7jkw/uR76k4V9evIDn3pxCsWpgz2gGN+7sxY07ewFp\n7XGRSUbw2+/fj1AwgJ3DXfjjx2/DV398Eofensd9t21DLBLCtv4Q/sNn7sQvDl/CxbkSEjEroHHq\nv//tb96Mb/3iNLYPpvGb9+xyGx78xj27MLVQwqFTC7hpVy92jXQBAP7dJ27H954/bx3Lrt665zu9\nWEKxYmB8MIVIOOj+fDFfQb6kY/tQyhq4euiGCd2QiEeDdc0WpLSCoWBAQTgUrLtPRTVgColUvLHx\nw988dQy/OjLd9H1bzfbBFC7Nl5Av6+hLx3DPrSP4/75/vO53krGw20Diuh29GLUHHN3JCG7ebdXb\nHzuXxVJJw+998Dp8//nzuDBbwD23jCCdiKBcNZBJRdxB7/Is4EB3DHtGM1jIVfFb9+/F3TcO49Cp\neTxy1w6EglagcNu+GEYHkxjIJAAAD75jO1TNRDQShJQSJV0iEVIQCCjYOdyF9x0ca/m81XtNhEPW\nmhzve2AKgbNTBSzkKuhNxzA6kEIiFoKU0h54yIb3xi9+8uoE/seP327rY0YiQXevoOUS0aCbnQsG\nFZimRCYZdfcOc3gD7QPjPXjlxCzuPziKrz9zCqousHtbBqFgAJ966ADOTxcwt1TFjuE0fvOe3fjg\nXTvw9Z+ewk9ftzb9vWFnL27da5X27BvrxvRiBfu3Z/DJB/e7j+8tQ2rLaxAOrJhxiEWCDUFQOhFu\neA28jzE+lMb56QKu39ELw1hAtqhiqDeBge44rt/Rg6pm4sylPAZ7EvjYfXvwr35tJ775s9NuGe++\n0Qx2bbMmyE5N5nD0XBZjA0l8+iHrevJrt47if/zwOC5U19Y18vodPXjtxByquomdw2lEI6GGICiT\nsgbVt+8bwEhvAodOzUM3BAYycXzgneMQUuLFYzPoScfwv3/8FvynbxzG3FIVjz+wD99+9qxb0nrs\nXBYD3TEUK4ZbjhYMAHfdMIxIOIBkLIRff89uDHbHAQAfec8u97r38fv3YP/2bncdoNfMYhmvvT2H\nB+/cjlAwgPsPjuH+Vc4JZ6fyGG9yvs4VreY+AQW4dW8/upLRuttikRCikcs/JwgpAYnLbspDROQ3\nawqCHnzwQTz33HN4/PHHAVjrfp566imUy2U89thj+OxnP4snnngCQgg8+uijGBwcbPl4gTY3ylle\ncuYVDdeCoFQ8jGJFR0861hAEDfUmcXbK6h7W1xVDLBLEzuE0KqqOyfkyhnrieOCOUSRjYWQLKo6c\nXcRQbxyKYpVO/dYD+1DVTbx0bAYH99XqmO+9dRuOn8/ihp292DFci2ZDwQA+8/B1+Ph9el1nuEg4\niPev0GlsbDCFP3r01oafh4IBbB9MY/tgfbScjIXx2P17mz7WcG+y6c97u+Lo7Yo3vS0cCiLc5BOk\nKApikeYfrXh05Y9cTyq64m2r6U5FEY0EcfjUAhLxELYPphp+Z3ngtXM4bQVB6drfu28sA0UBMsko\n3nHdIAplHe+6cRhSSowPpXB6Mo9fHZnGw3eN48D2brx6cg696ShmsxU8+I7tGOlLIldSoSgKxofS\nGG9SvuEEQA5n4KEoCnaNdl3RbN9Kg5ZgIIC9oxnsHa3PwiqKgqCiwM/NqdY6KdIqexMNrRwEWcGg\nNXBNxcLIlTR0JSMNAUBPOuoGQdfv6MalhRLuuWUbfnF4Chdni7hpdy8+8M7tUBQFo/0pzC1VMdJn\nvdfRSBCfemg/phfLqGoG7rl1m/u49962DRLAQ/ZAF7AGloGA0rKtdTOt1vZEQisHQd5uZU5WqNlr\n0J2Kuo0OtvUloekC+8YyWMxXkS2qGMjEcPdNw+hJx3ByYskOgqzzRyQcxG8/uB+5kpWVuPvmYfdx\n775xGCcuZPG+g2N1n+mu5Npn/scGUlgqqjh2LotELIx4k+9KxvP4w31Jd2KkN2M1QAkoCsYGU7h+\nRw8URcEH370DmUQE/Zk4PvzuHehOxWAYAgFFwR989GYcPjXvNkwZ7kvg/tvH3KYriqLgN+7Z3XAM\nwUCgaQAEWCW0j9y144qetzPp1fBcU1G897bRFW+7UgFFsRYMERFtUmsKghRFwec///m6n+3atcv9\n7/vvvx/333//FT3elWo1qxlqMTPlvdjHoyEUKzq2DyYxa+8F4tg1ksZ8roJCWUdvVxTb+hO487pB\n5MsaXj4+h/GhNLpT1oVy/1g3fvzyBIZ66ge3v3nvbhzc14+bPYs549EQ/ujjjYGL43JbY29FffbA\nYy2SsRCGe+M4fGoByZiVoUvEQnWlNMuDoOt29OBnhy7VDQDeef0gbt5jZYX2jnVjtx1EWGUhEdy8\npxePP7AP99qD2ANN6lIzybUHc2Sts7ni+4QUhAOBhn1tao/ZGPU5JXJRT+YzEQshV9Kwc6QL5+z1\neJLLGM8AACAASURBVIloCGXVwE27+3BxroRQUMH+8W6MDSStCYeBJCpVA9v6k+65bO9oBm+cnscN\nO2sZV0VR8K8/fL1VUhSqHc+ebRns2VYfrAYDgTUFQd5Jnst5DRzhcO22ZDwMraBibCCFCzOFujLC\nHUNpzGUrkLCCQsMUOLh/ABfnSjhydhH7xrrRl7GCnl0jXfjlG1MY6qmfRPnkg/tQ1UwMes6XQ70J\nfPaTdzQcV7pJxvhy9XZFMZCJA8giEQshFWu83HknQAAro3xuuoCxgdqk0EPvGMeOYWtS5cD22vd9\nyJ44et8dowgFA4iEg3jH9UN4x/X1Xcz8uiUBEVGn88V88Fpmfr0Dl+WCTS72zuyi93799qC7LxNz\nL4YjfQkosFqI9tilEgPdcTx81w6k4mE8eOcYHjg4hps85WS37evHzbv7MDZYn03pSkTqAiBqbe9Y\nBmutrEglwhjus17/ZCyEeDRklb95Hi8Vrx8E3XFgAKP9yboMVDgURFeiNju8/LMZDATcAIjWRzjY\nuiSnWZAUj4RaluVE7EF+0PM7CXtQnPQMjrsSVoDy7huHEApZvzs2mER3KoIHDo65a6L6M3HsHLEC\nl888ch0+/YH9dZ+Vh981jpv39GHncP2sfE86VhcArSQQUNp+XnReH+8kkfN6eO/nvB4j/QmkE1YQ\n4rzme0cz6EpaP9vWn8SnP3AA8WgID9+1HQf392PPaO353nvrNuwd7cK+se664+hKRusCoFbSK2SC\nLuc1HO1PusefSUYwYp8fnJ8BwO5lWZN7bh1BVzJcN7mxe1tXQ2mZV3cqhlQHr1UhItqs/BEErTLy\njUcbL+yRFhdBZ8Yz6pndjNvlWd5yrIFuq8wtHQ+jxw6C9oxmMNATx4HxbnSnYwgFFezbXpuljUfD\n+ORD++seR1EU/N4Hr8fBfa3L/qi14d7EmrMoqXgYu0bSCAUVJGNhK3MTD2GoN1H3O17BQAD7t3c3\nzFTTxlotExSPhuq+24A1iG91HonZkyDeAbDzHfYGvaMDKSRj1n5JPXam9/13bkd/Jo7erih601H0\ndkXrApRgIODu4eIIKAr+6NFb17xeIhhQVp0QCDZ5nVoFQc55MeV5vk7A472fs25lxG4TDQA7htMI\nhwK4YWcPMqkoYpEg9o5m3MfMJKP4g4/eUrfOLBBQ8G9+/UbsHVulMU4L3vfG6/13jOH6nY1ZWOez\nk4yF0NsVc4Ookb4EBnviiIYD7jkmnQjXnR8AYO9oN+6/bbTpmkUiItpa/BEErTLjGW+yviS6wpoT\noDZL6J2dc2aCnYWwgDU7mIiGMNybQG/aGvD0Z2LYNdKFbf1J9KSj6M/E0J9ZfZDclYxc0aJSahQK\nBtCdbj7ocdZWrGSoN4G+rji6khEk7IxPKh7B2EDKHfh2N6l7/8A7t+P6nb0NP6eNEw63Pi1FQoGG\n71o8GmrZZNJZo9aTrpVcdqeiUFBbd6IAuHl3D+LREIKBAHrSESRjIdywoxefemi/vd4vgtv3NV+/\n0U7BgAJllSgotax0NhRSWmZIwnbA4s18OU1Qkp7HGupLIB4JYqQ36S6ev2FHL4Z7ExjuS6A7FUV3\nOloXUK6kryvesgxvNQMrlMgO9MRx1/X1k04KrHI9AIjHQohFghjtS7qtuNOJCBKxEHaNWL/TlYg0\nDRp/vcm6HSIi2nr8EQStlglaVssdDChItFhg7wwE6mZ97UFQJhlx13LGIiEkYiEM9yUx0G1dbLf1\nJ/G7j1yHUDCA8cEUPvH+/W3vXkcrG+huDDj3jWXwv3zweoSXDfL6uqz3LBRUMNJrtXVNxsLuTHY6\nEbYHbdYgd3SgsfnDYE+Cs74+s9qgOWrvRO8VjwZbfk+dDSCHe63PRjxilT1GwkH3PBGLBLFzJOOe\nW/aOdqO3K4ZELOQ2uPjdD16HD7xzfG1P7ApcTjlcYtl5MRoKuoFOM853x9tsIGa/Lt2eyaHedAzJ\neBjd6Si67NdmfDiNj967C8GA1VL9zgMD12Sty47hNMLBgPv+OQYzMdx90whG+2uTI2ODKbfBgJMN\nHh1IIhELIR23OkNGQkH82s3DSMZCK064EBFRZ9gUQVBmWV14LBJ0MzvNOKVy3sWtzoAhFQ+7s8ix\nSBCxSAiZVATvOziK3nQU+7d3u7OD9x8cc1sn07Xx4J1jDV2chnsT2DOawWi/1aXJ8d7btrnlb06G\nLx4NYtgucQmHAtg+mEJ3KopENIj+JgEW+U+rUlfAWt+3PDvcak1QMKAgGrEzA/3WOSEeCyGVCCMS\nDrifnWgkWFci9ci7xtG7bOH8YPflrWW5WsGA0jKzFQ4FkFy2xi0aDiLUKhNk3zY+mHIngpzSsEFP\nSWhP2tpnKxoO4sB4D5KxEK4f78Gte60A4z03j+DX37ML10JvVwz7t2fqsrjBADDQk0AoGMD779ju\nlg3uHcvgxl29CAZqWbJ0MlLXGj8eC2HXSAaZVBTjg9x4k4iok/kjCGpxsY+GAw0z9dFIsGXZh9Nh\nbaQviYy9iNfJGmRSEU9pXBQj/QkEAwEk4xEcPDCwYg06XRt7Rruxf7x+IbUzU/97j1yHO6+zSmC2\nDyTxwXftwFBPHMl42M0eWAGRNWDqSUdxw44e9KSiGB9O15X8kH+tlgmKhIMN6wRj0dCKmZNgQEEs\nHEQ0EsRNu/sQUKyOb7GwlTkZsAObeMR6jAfvtPZhScbC+P2P3NiGZ3TlVssERUIBpGL156popPW6\nKOd13TOacb9TTrlZfybuTv5YJcDWz++5ZQT7t3fXZZ0OjPe0bBTQTqFgAH/08fq1VfFo2D1P33vb\nNrfxQl9XDGODKfR1xd2Sv4CiIJ30lPr1JBAOBZCIhnDXsi5uRETUWdbUIrvdWnd1CjbUnsciIQRb\nDBCcLmA96Si6UzEUyjrGh1LAm04deAiAjr6uKB64o7bx3G+/f//VPRFqi9iyzYectV3bh9IIBgMI\nKMC2Aav8bag3Udea/JY9fe5g7uG7diAcCqArFcFYk32DyJ8iq2ziGgsH3a5m4VAA4aCCeCRY1/nN\nKxhQEIsGEYsEsa3fWucSj1obQ4bDAfR2WUGzUxq2w9PRrdW+VuspoCgty82i4WDj5FA42HJWy3l+\ng71xZFIR6KZwG8IM9sTtySGJrmQE77rRChAURcG//ejNV/VcrlYoGKi7RsSiwbq9tQa6YzgxYWX+\nA4qCO68bcNvcA1ZZo+MD77T2XLthVw/Gh5kJIiLqZP4Iglpc7MOh+kxQPBpELBxouWjYaY3c2xVF\ndyqK+VwFowPWINgKggLW4DgZdQcB5B/LJ5m93dsGe+JIJyPu2qHfuGcXRvtrAY53M0AnW/juG4ZZ\nCreJtCrpAuxMsJ3V6E5FrXPCCpmgUMgaQMejIcQiIYSCAQz2xOwOc0FEQwGk7dKvlTb43Sitki2R\ncKAhG7ZaJiiTjCAcDCAdj6AnFUOpYqAvE0coaO2BFQkFocAqGT64v9Z0wA9rIr3HsHw9aF/G3sza\nbnf96H31G0I//M7aZtNOy/LfeA+bHxARdTp/lMO1uHBHQ/WDk4FMfMUBj7OWwBng9KRjGOqxLpAD\n3TGEAgpSCWfAE6zrkkT+4f08hIIKtg+lPH+2Bq1jdlA7NpBedYH2SH/ysvYVIX9YrT10NBx0sxq9\n6QgGu+MrrglyskbJeNhtqz02kEIiGkIkHEQ4FEQiZt22fC3aRmsVfETDobrzYncqgmgo2HRyyPlR\nTyrqloIN9VqbCXenrMAoGg4iGg4gageKfuN9WsuDoJE+az+glTZW7eQNqImIaGW+uNq1rH0P14KV\nWCSIPaMZxCLNO0E5ZTTJeBgRO8jZtS2DaDhorQGIWP9EIkFEw0G3PSz5i/e9TcXDDa2tY5EQbmBb\n6y0rGFBW3fg0HrEGtj1dMQx0x63ucE3OZtGwlQnqTcfcwf2+0W6EgwF0JcIIBqyOg5FI0Hct7lsF\n95FwwA0EQ0EF2/qTViYITc6L9nmu6/9v7/5j5arqfo9/1lp7z8w5c360py0UhZ5afvTKUwtUbh5v\nnwsiDygRvUGgVECKSDThBmMsoBVQS+QBEuUPf4DoH4TQGCIIaCRE00gICVGCNtUAQRIi3KBeYy9R\ny2nLoefM/WPttWfPnDlz+mPmzJ7Z71eiPafTKXumZ9ba37W+6/utlhTHVqXY6j3HjamUNH51zqpc\nsioli0N5ZDOBWXMQ5Is3xItSrQ4AMDjyEQQtcMMT+vQsGSnpPceNqhS1vuEJHd6Hy5HiyKpSjnTa\nScsUJ6kucWx9RbjYtW0qiN7Knu0YyRQ9CFavHKWs9QBz1sx7vkfyuyBD6U5QRcctr2p8pCRr5g4K\ncWTlrNWSkVL6d55+8nKNjZS0dLSc3jhXYp9Slyft0uHKJaeRSr3sfxoEtXjfwi7oeNX3xTHG6LST\nlvsdskqkUvIe+RS7fL0HQfYMaHPLhLHhuGVpfQAA2sl9EFSOnSbGK7LG5/+/d3KpZmZrLZ8TdhDK\nsVUl9rtFlVKkE44ZkU1WfMvJLlBeVzzR+PMw2qJa36XnnLiYl4NF5otftBkTSi4tD718vKINJy/X\nSe9eMidoKEVWsfPpcNlgulxyuuh/rtHYSDn9WTt19YQ+cGq+qoW1T4dzWj7uC4IsGSlr+bgvbNAq\ncArB31i11JAyfOpq3xg2BEnl2C8Q5VG7dDhjjD5Bg1MAwGHKxbJf+3Q4q5FKrEo50tLRsibGKlq9\nclT/9819c/6sS25ySnFjastlH/IHZUuRv7laNl6Z03sI+ZH9eWg+/C2JNMYBZ41pW/jEBwBDOnZi\nSKeuXqrhSqzhytzFlDiyimOrg7OzqpSihl0OmzRcds4/55P/eXJ3XsxRWKhE9vIl9cWhk941pr/+\nv6mWzwnlrIcrcUPlvf/1H77XTwiCrDFatyafaaaNJbLnTlsrly1O/yYAwODIRxDUtgqS7wlSjp3G\nqz595YJ/X6UHf/nHOX82dmEnqLGZYkidCjfPl3yQnYQ8ayiMsEj9SJAfzrXvkTNcifTfJpfqG9f+\ne0OqZPNzosineL09bVQpuYaGoJIPsOMcFgEI2qfDRRoZijVU9sUNTjh2RCv+z5D2HTg458/6xR8p\nsqZhcciY+ngpSZv/8yStnKjOeX4eZIPiPBZuAAD0n1zMJu0a75Ujn8O+cd1KfWzjpCQ/ebcsjJBM\n5uXYtcwR5xxQf8gGQdZx2LlostXhWm0ILR0pyRoz52a4eUyInVXsrA+qrNHpJy1v+u9YHZPjsyTZ\ng/7N9/3l5HzjeyeXamKsojhyOv+/n9AyTbhccnLOyjl/NqpZGDfzGgBJjf+2jjEBANAB+dgJapf2\nUfKzf/PuTaubo3DOJ46tjl8xd0JvrjKGfMoeim93QB6Dydr6Ioe1VrMzsw2PLx2tzPu8rNhZRc6m\nP0Orjp3bHPOEHDfRzY6L1ljNqP4+hAIH//sT71OtVpPk09pafVyGypGcNYqcaZk2Nt4iMMobx+4w\nAKDDcjGbZIs6Nc/h5Xm6x7da8RwqR4qcUWStNr7vuDmPH7O09c0T8qVh1Zeyt4XjzwT5r1vtgAzP\n09+rOWCOI3/j326n+X+sW3lU19pN2ZfTvPuR3dXO7hi1Hhd91bjIWa1fs3zO48fmeDcssHb+XTEA\nAI5ELqaThpteO/9k3/CceYKgsOLZ6nknHb/kKK8UiyF7z2q54ymkUO7aNgUwzpq0wtnc5zSdCUpS\nwNqlT+W5t0xDWmjTZc7X02jue+DHwjAuTq6cuxu25t3jR3+xXdaYDseYAAA4ermYTRom+xYVnlpp\n3iGwJlnxNGbeSfLfaLDZF7I3vqT/F1MYB8JHOUp+EJyz844JzefH4tgpcrZtCf48a9zhaXzN2cIv\nWa1SAstJu4D5dsTet2bZUV5p92WDIM52AgA6IR9BUJt0jvlWcZtL6MaRVaUUJWkf/XnTAy8bw7Lq\nW0zhfj2MDWH3x7UoiJA+p+ljHzmraIHGq3l2JDtBzTtbUdIbzdr2/djyLhu/EQQBADohF3eY2ck5\nzOE2XQE+9NSXoVJIh8vFy8IRsplDYv1844YjVy+M4H8Nn2nnzLwpbM1jQilqLIzQb7KXHV5z+K1y\nPN8OedP3NqTD9feYmB0H5nvtAAAcjlzMJo3VwPwlpd3d5z0T1PR3OKNK2cn08covvMZD0PxbFlEa\nBGWCIWval9NvDpjTM0F9+jNUfw/qi0NxvNC4OHcnqJ8DwaAhCJonFRAAgMORiyCoVdpHKIN66AeA\nbVoYIc+HnbGwhqpYfX7zhiOTpsMl//4mSYNrV+RgbhBkFC9QHS7PTPra60FQGBcr8wQCzWNfnARA\n/b6j2nAmaJ45AQCAw5GLu4Ps/JweiE5udirzBUEtVn2HSk5mTpFt9JvsOSCCoGJKq8OZehDkXPvz\nfs3FUuKo3ii1H7nMaw/BjXN+hCvNkxLWqrBM5GzbXmz9IIwD1tSbuwIAcDRyEQQ1VEFKvk53guJ5\nqiC1WPGslCL1+VwPSXHmRrdfb2BxdNLNG+NvfK1J0tsOIx0uNEuN+vRnKB0XTf0sUORCMDhPENT0\nfWRDr6T+fA+C8FY4ZxVz5hMA0AG5mE2y5V+bCyNUSoe24hlFVkNlRyrcAMiWQCYIKiabKQRgjN/N\ncclu0ELPCfq9RHZ6Jkgm3eF21geC8wZBc3aCXFIdrj/fg6BeMp3qnwCAzshJEFT/OuTBW2vkrJ/E\nWz5nzk6QUaUczSmYgP6T/Tfv1/McODrNvcOs8alg0WEWRujnXZBQJNGnw/mvnV1gJ6jFuahKKVK/\nZwmH9EiqfwIAOiUXs4lrkQ638Ipn4/eRsypF/V8KFo07QdzvFJPNLIb46mj+5re5IWrDc5oeiiOr\nOOrf3eH6eSilQYxNql/OtxvS/FJD64D+fAfqXCYIJAgCAHRCLmqNNqbDhb4gfrKftzt8U7ATRb6T\nfJ8u+iIj2weEG55iCp/jUBTAGiNj1fZ8T6szQUPl/j1En1bGU/I+SGmlt+gwxsWhsuv7ICgEvzTD\nBgB0Sk6CoMzXoRRsZNsegm2eCCPr/2y/576jMR2OSlDFlO0TZEwYI0xD5cA5z5lzHsZouBypVqt1\n8Uq7J305xr8P1vrCAC4JCts+JxE5o6FyNHeLqM9k0+H6dWcPAJAv+QiCWqTD+YBGiqLWE15zcBRF\nRlFEgexBkN39K8+z4o3BlqbDmRAI+Rv/tjtBTTfHw+VYQ+VYfRoDzQkEQyPo9imBzbthzpcK7/PA\nISyUke4MAOiUXMwo4b4m2xk9dDmfb9JrTpMK5XOZJPtfNgiK2QkqJJOeh8kEQAs0Pm0ugLBiSUXD\nlSgtMNBvjG1cHLLyQeDhpARGkVUU2b59D4L0rCipcACADsnF1Bjy2I3J7ARF7QOa5rNCYWeISbL/\nRdam6Y7leZpCYrA1F0bw1eFs+xLZyXOqlUhxZLVsfEilyPcP60fZc1GhOIRbqFdSi6qZsbN9n0JW\n3wnq79cBAMiPXNxhpgeAk34g1tRLwc4nbj4TlARFHKTvf87VzzyU2QkqpMbdYSNjD2EXJPmZGRmK\nNVRyGhmKFUf9WxwhWx3OZMqEtxvimnd8ImdVim3fpwnXzwQxvgMAOiMXS6RhUg+pLyZJfWnXE6S5\nf1AluVkusXPQ90IFLEl9u4qPo+MyCyPG+IahvkR2+8IIpcj6QgDyu8Uzs/Xv+01IhzNKzgUl5aGb\nK8BlNe8ElWK/czRfIYV+EX4eWOMCAHRKLqaUNB1OPu3BJpN9252gZOcnTgonDCc3OtVK3N2LRdc5\na9NmuaQ3FpPJ7ILYZIfYWbvAeRg/LowMxWngU4qchsv9OSakg3NyVtLIlwhv95kIaaSVkkt+9e9D\nudSfu2FBmg5HFAQA6JBczCjZQ9A2yX+Pk8II8wnpb+EGZ6gSgqD+XPVFXZSkw9k2zXIx2LJngsJu\nkHMLlMg2vjnqWLWUpsBZa3TaScsW5Zo7LX0PlKQJJ/2B2qWEhc9LSCMNwdBwn4+LYY7gTBAAoFNy\nMTPWDwDXy+G6BYKgUAgh7AhNjJUlSaPDpe5eLLrOuaQnCt3hCyubvmVsKApg2o4J1vhCGtVKpAPT\n9aGtX3eH0/cgSQdMd4LafCSax8Wlo35cHBnqz/cgCDtcnAkCAHRKLmaUhs7o1gdDcdIsdT4uuRkI\naS/HLBmWJI0O9/dkjyT9yZjk35iV3yLK9gkKzUGzVQPne04cWQ1XIg31aQpcVnomKCmMYMzCO0Fh\nzAxpcBOjFUnS6FB/Lw7Fzu9osSYCAOiUXEwpLjPZhxvgaIFVX+esrPGrvkMlnwIjSWveNbYo14zu\nSasEJje1KJ70ox8KI1gtvBOUFEbwTVL7+wyM1Fgi2yTngqLkvNx8wuelOhSpFFmNJItC/b44FF5X\nu8IYAAAcjlzMKLbpTJAxZsEzQf4mWRofKalSdmnO+wnHjC7KNaO7rDVyhp2gogpjglWmWeoC6ZGR\ns4oip2XjlYH4uUnHRfmB2iYpge2KQ4R0uNGhWOWSSwvGnHz8eLcvt6tCENTutQMAcDjyEQRlyuE6\n61c9F0z7sEaS0QkrRlWKXN+XgEWjUCa735s84sg07w6n5wTbBEGlyCqOjFYuG+7bc0BZ2XFRybi4\nUP+0UDBmdLikcuxUSgokrFxW7f4Fd1EIgjgTBADolFzMKLYh993f9JQiJ9smo8UfmjeaXDlCytQA\nssbIUh67sLIlspMYIEmRnf85sfPVBCdGy1q7askiXWn3mEw6XNgR8z1/2vRPcz6FtFqJBqrRcCmk\nwzHUAwA6JBdTSkPah6nvBEVtJnuX9A05dulwutqJwRHSn1BM9WIpyY5gsitYarPgEcdWkbWqlCKd\nfHz/B0EuMy6GxSFfJnz+z0Upcoqs0cRYZaAWh8IOF9UiAQCdkosS2Wn+fqYwQjl2fvafh00qh/me\nILl4Gegg54xq+YjR0QNpEGTDmCDJSOXS/J91X1FycALnbHU4K/9eLFQxMQRJKyeGB+JcVFBK0+EG\n5zUBAHorF3eZLpngjOpngiol1/Y8SMiNjyOryWMphjBofInsXl8FemVuZTQj1erNP1sJ6XCDwjak\nBPqUOGcXLhgTOeuLQwzQexE5KyOCIABA5+RiCyWs8mX7YVRiJ9Xmf45JymgbY/Qf61cu0pVisfid\ngMG5icPhqVeHq1eNjCPbNggqxe3LR/ebbGEEk6QELrgTZH0gWK3EA5UO56xNdrkG5zUBAHorF0FQ\nnAmCbJISVym3T4eT6vnhx030d+UjzOWMkUybKBgDLQ1mrB8TjJHKsUubgLYSR06leHBukk32rGTy\nq++V1P6sZOSsKmXXNmDsN86ZelokAAAdkIsgKAQzfsXXytj2aS/Nz8PgsS4pFYhCmtMnyBoNlaO2\n44KzRqND/V8aO8imBMr6ymhxZBc8KxklAcPxKwZncSiUzKdENgCgU3IRBMVJdTcjk/YFiSOnNkeC\nJBEEDTKfDceyb1FlU8Gs9Tf11UrU9jPvrNV4tbxYl9h12d5n1o+OKseu7Qa5ywQK7197TJevcPE4\n63eBXMSYAADojHwEQS5zJig5BBxHVqWo/W7QIOW8o5G1VqZGOlxR1Xvk+FQwa6Tl40Ptd4Kc0fhI\naXEucBE09E9LzgVVSq7dUclkx8R/ffyKke5f5CJx1spam84VAAAcrXwEQVE9Hc4ked+Rsxoqtw+C\nBin/H42ckWoLbQViYGX7BCkpljK5sn0VyGol1onvHl+My1sUUVLuO+yE2eRcVK3N4sCgpow557ME\njlky1OtLAQAMiFwEQaHZaSiKYI0PjBbq/zM2PDirvmhkrVWt7Zo3Blm4kQ/pseYQUiPjyCqOBmdM\nyKb+hd2gcsm13QG3ydmZQeOSQPCkAWiCCwDIh3wEQWFST6rDyRjFzmqoTSUoSRqrDs4NDxr5e+DB\nu5nDobHZdDiTVAssmBAEWWPS96FSinwj6XlYYxQNYBAUAsAlA5TuCADorVzkTdjk0KuVSQIhv5o5\nOty+0tOSkcE5BI1Gs7PSyonhXl8GeiQtD52kyBYwBlKUKQJgk/chdgvvkJcHqDR2VrUStW2gDQDA\n4cjFTpA/9JoJgJJ57v1rV7R93kJnBNC/zt1wvP7tPUt7fRnokdAQ1CaNUot485ttHRCq5EULNIyV\npOoAlQnPGiH9GQDQQfkIgpzJFEWo5//HC1SHO2mADkGj0bo1E72+BPRQKAoQUmQH8ZzLQqLMuSiT\ntAeKndFwpX2QM0i9krJWH8uiFwCgc3KRDhcOvRpJxhqfFgegsMLhf5v8Xy4GqkVWr5rpX384F7Pm\nXWNtnzc6oDsmZ592XK8vAQAwQHJxbxF6W6Q9QQq46gugzrl6sRR3iNXhBk3YDTPyr98aX/56obOQ\n49XB3AlaNk55bABA5+QiCAp9MEIZWDaCgGJrrIxWzDNBjTtBRuYQR+vTT25/lhIAAOQkCHLOZqpA\n+YAIQHHFrrE6nCvgTpBzPjHYJDthhzpYL1Q9DgAAHEFhhAMHDuimm27Sm2++qWq1qrvuuksTE42H\n2G+//Xbt2rVL1WpVxhjde++9GhkZmffvdEmJbF8Bqd4jBEAx1SujJf/r8fX0gjP1NOEQDAEAgM44\n7CDooYce0tq1a3X99dfrySef1Pe//33dcsstDX/mpZde0v33368lSw6tu3eoCGfDDQ+TPVBoaSqY\ninsmyFr/upP+0YyLAAB00GGnw+3atUtnn322JOmss87Sr3/964bHZ2dn9frrr+urX/2qLr/8cj36\n6KMLX0SmOly2TxCAYqqfh/ErI66AAYC1/nX7Etl+VwgAAHRG252gRx55RA8++GDD7y1btkzValWS\nVK1WtXfv3obH9+/fr6uuukrXXHONDh48qC1btmjdunVau3Zt2wsxyXJnUQ9BA6gLPcJMkh5bxCHB\nWpMGgVaMiwAAdFLbIGjTpk3atGlTw+99/vOf19TUlCRpampKY2ONPSuGhoZ01VVXqVwuq1wufECP\n0gAADu5JREFU6wMf+IBefvnlBYOgOHIqlyKNjJRVqcRasYLGeCgmfvalGWtljFQdKsm6GY2OVgr3\nvgztm5ZzRpVSpOpISW+9fbBw70HRXi/QDp8HoLMO+0zQhg0b9Mwzz2j9+vV65plndOaZZzY8/qc/\n/Ulbt27V448/rpmZGf3ud7/TxRdfvODfW5ut6eA7M9q/b1rvvHNQf//73gWfAwyaFStG+dmX9I9/\nHpA1RvsPHNTb78xo377pwr0v+98+KNWkd96Z0YF905qeLta4yGcBqOPzAHidXAw47CDo8ssv15e/\n/GVdccUVKpVKuvvuuyVJDzzwgFatWqVzzz1XF110kTZv3qwoinTxxRfrxBNPXPDvtVaSqZ8PAlBc\n1pokHSzpk1PAISGkw4WiCKTDAQDQOYcdBFUqFX3729+e8/uf/vSn06+vueYaXXPNNYf19/ry2L4W\nLJM9UGzO+cUQq+KeCUpbBygZHwv4HgAA0C25qTdkjZFqvjM6O0FAsYUAoMjFUqypF0agRDYAAJ2V\nmyAom/bCXA8Um012hq3xg1TkijcopI1iTWgdULz3AACAbslNEJQ2BkzOAQAoLpcpD10zkitgkxyT\nBD7WhDThXl8RAACDIzd3FvX8/+RsEIDCSneBjKSaKeROkJQURFBIjev11QAAMDhyFQTJGLncXBGA\nXnFJlUh/419TVNCBoV4sRqTDAQDQQbm5swid4YuY9gKgkTFGxtaLAbiC7gTZTHlsww45AAAdk5uI\nwyZpH0W92QHQKK2OJhV2Jyg5DpQWiAAAAJ2Rm3k1NAZ01sqHQwCKzFh/TrAmKSroDnEojFDUMuEA\nAHRLbu4sQkPAyCVLnwAKzYWbfxWzRLaUpAMm54FMbkZrAAD6X26m1XAA2Dkr1Wq9vhwAPZb2yLFG\nUZSboWpRWSu/M05hBAAAOio3dxY+7cNXhQIAa62M9WNCcc8EmUwTacZGAAA6JTd3FiHVo6hpLwAa\n+c1hHwDFBQ2CQplwk/RRAwAAnZGbedXKHwAu6gFoAI1CsZTI2cKWhw47QJbCCAAAdFRuIg4TqsM5\nIyojAAhl8+PIyhU0APDjoj8bxLAIAEDnRL2+gCCpi+ALI4jCCEDRhcIIsbW+cEoB+UDQ0EQaAIAO\ny83MGqrDRc6S9gEgPQ8TxwUPgigYAwBAx+UnCErOBFkbUuIAFFn2TFB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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "librosa.display.waveplot(x, sr=fs)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's zoom in:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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nndMYnRBmdiwRGWKCAux88+ZJjBsZzp7Cap59pxCPPlOJiXq0vM3hcNDW1nbu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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x[1500:2000])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "I count three zero crossings. Let's compute the zero crossings using librosa." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [], "source": [ "zero_crossings = librosa.zero_crossings(x[1500:2000], pad=False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "That computed each individual zero crossing. To find the total number of zero crossings, use `sum`:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "3\n" ] } ], "source": [ "print sum(zero_crossings)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To find the zero-crossing *rate* over time, use `zero_crossing_rate`:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(1, 130)\n" ] } ], "source": [ "zcrs = librosa.feature.zero_crossing_rate(x)\n", "print zcrs.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot the zero-crossing rate:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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AGo+AB64wVqz28Fh4wGNXauPgM9BKw5mxeRcskKSA36feVIQMDwCg4Qh44Aoj+YU1HbWx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\nc2VZli5lizp1Pqvjpy7p+KlLevlsWpU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