{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "d8ac8f62",
   "metadata": {},
   "source": [
    "# Traitement du Signal - TDM3 : Corrélation de signaux\n",
    "\n",
    "---\n",
    "\n",
    "Aujourd'hui, nous allons implémenter la fonction de corrélation entre deux signaux, la tester sur plusieurs signaux, analyser les résultats en fonction des entrées, et créer notre propre Shazam. Sympa comme programme je trouve, donc on y va dès maintenant !"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "215668ef",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from matplotlib import pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1608e1e0",
   "metadata": {},
   "source": [
    "## Exercice 1 : Commençons par comprendre la corrélation\n",
    "\n",
    "\n",
    "L'intercorrélation compare un signal $f(t)$ et un signal $g(t)$ retardé. Elle mesure la similitude entre ces deux signaux. La formule de l'intercorrélation des signaux $f$ et $g$ est la suivante :\n",
    "\n",
    "\\begin{equation*}\n",
    "C_{fg}(\\tau) = \\int_{-\\infty}^{\\infty} f(t) g^{*}(t - \\tau) \\, dt\n",
    "\\end{equation*}\n",
    "\n",
    "Avec $g^{*}$ le conjugué complexe de $g$.\n",
    "\n",
    "Dans notre cas, nous avons des signaux discrets (non continus, il y'a un échantillonage), donc le calcul de l'intercorrélation devient :\n",
    "\n",
    "\\begin{equation*}\n",
    "C[k] = \\sum_n f[n+k] \\cdot g^*[n] \\cdot T_e\n",
    "\\end{equation*}\n",
    "\n",
    "$T_e$ représente ici le temps d'échantillonage.\n",
    "\n",
    "Avant de partir sur le développement de la fonction, on va d'abord tester avec NumPy. En effet, la librairie propose sa fonction *np.correlate*. Super !\n",
    "\n",
    "*\"Mais alors, pourquoi on la code la fonction du coup ?!\"*\n",
    "\n",
    "On va la développer ensuite pour 2 raisons :\n",
    "- Parce que ça vous permettra de mieux comprendre le fonctionnement\n",
    "- Parce qu'on va la customiser pour créer une variante de la corrélation, disponible nul part..."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c46c812a",
   "metadata": {},
   "source": [
    "Bref, pour calculer la corrélation entre deux signaux... et bah, il nous faut 2 signaux. C'est pas plus compliqué... Créez donc :\n",
    "\n",
    "- $A$, un signal **périodique** de période T = 2, dont la période $a$ est définie par l'équation suivante : \n",
    "\n",
    "\\begin{equation*}\n",
    "a(t) = \n",
    "\\begin{cases}\n",
    "1 & \\text{si } |t| \\gt \\frac{T}{2}, \\\\\n",
    "0, & \\text{sinon}.\n",
    "\\end{cases}\n",
    "\\end{equation*}\n",
    "\n",
    "- $B$, un signal défini par l'équation suivante :\n",
    "\n",
    "\\begin{equation*}\n",
    "B(t) = \n",
    "\\begin{cases} \n",
    "1, & \\text{si } 0 \\leq t \\leq 1, \\\\\n",
    "0, & \\text{sinon}.\n",
    "\\end{cases}\n",
    "\\end{equation*}\n",
    "\n",
    "Les deux signaux sont échantillonés à 0.01 secondes. Le signal A s'étend de 0 à 10 secondes, tandis que le signal B s'étend de 0 à 2 secondes.\n",
    "\n",
    "*Note : La construction d'un signal périodique n'étant pas toujours simple, partez du principe que $A(t)$ est égale à 1 lorsque la partie entière de $t$ est impaire, et est sinon à 0*"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "60679ffa",
   "metadata": {},
   "outputs": [
    {
     "data": {
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uLy8PycnJXtuSk5NRUFCAU6dOIS4uzuc9RUVFKCpyN6AFBQU1XUygrAT4v4dq/nNqWTwiMf70aziGi6wuStDc3CEFs+/ranUxgmbmR9/h9U93W12MoGpUNxobx2YgIsJhdVGCYs13h/Hgok1WFyPoVo68Fm2T460uRlD8UliMO2Z9hpJSnoQBAJ7p1wH3X9XC6mIEzUOLN+Lrg7VwTq9F3dMbhldiVx1Tp05FTk5O7X6oIwJoeV3tfmZN2/sZoowzaOA4jvSmTXFRrC2ru8p+OlGMHXnHcfg4T68JcPYKFgDSG9VB0wa+FzqhpKTUwIY9P+OnwmKUGQYiwJHY5Rec3eca1o1Guyahnwht3f8rThaX4vDxIp7E7mQxSkoNOCMcuKpVQ6uLc8F2HynEoWOnceRc+8DCdSx1SquPi2KcFpcmOC5Jrmd1EbzU+Jk+JSUF+fn5Xtvy8/NRr149v711ADBmzBhkZ2eb3xcUFCAtLa1Gy4nIGGDgezX7GbXtuebA6WMAgMm/64gOTRMsLtCF+fc3efjz3zZbXYwac99VLTD4mlZWF+OCHDtZgk5Pf2h1MWpM1xYNMG9AN6uLccFumvkpduTxDFl6qhvtxBuDr7K6GBds0nvfYNG6vVYXo8Y89/uOaNfEXgkRixpP7Hr27Inly5d7bVu5ciV69uxZ4XtiYmIQExNT00ULGxx9Jm5M92YAAFc0bkxxke1yJqa4iELxwhYX0z5nVwHfkXnixAls27YN27ZtA3B2OpNt27Zh//79AM72tg0YMMB8/SOPPILdu3fjySefxI4dO/Daa6/h7bffxsiRI4MTgYiIiIgAqEZit2nTJnTp0gVdunQBAGRnZ6NLly6YMGECAODQoUNmkgcALVu2xAcffICVK1eiU6dOmDZtGv76179qqpNawdVXxxWNL4eDIEKCECpDHh4FiuMoDKiaak7AQ7G9e/eudCjM36oSvXv3xtatWwP9KAkSB1lnPlc0vEMTTHEZdHvdWUxxMe1vnvjiogvIdngmxxEREREJc0rsmJ3r63bAoOj2dg2xsF3BusIhqCKv/YyxN4jhOAJYj6WzwfDU0dm/mY4jwONYomjx7EmJnYiIiAgJJXbUHB7/Cv2ro9CPoHIMPQ0EIVSK4TgCuOuJJTaWfa0iDO2dXSmxk5DDNTDBNy+fC1NYRKF4YYqLaX/zxBYXWTi2pMROREREhIQSO2Yefd0M3d4MMVSGITz2OcRYwmOJwx+WfZAkjAqRh2cpJXZhgG0eO7axCa5oSJHtcy5MtwHwROKNLS6mfc6ulNiJiIiIkFBiR81h/snQrc8Qg1/mHGmhH6BnBIwX5gRVBMBzjjQ+JFVkxsF4HAE8x5IdKbGTkEPazomNaZ+zP9YEiI2qqeYpsRMREREhocSOmeeSYgQDFK4Y2K7MDaKlkOiXFCM4jgCPOHiqiOo4AviXFOMZNLcfJXYiIiIiJJTYUeOax479Ao8hPJYerQqRhEfRHlSIIziGh6kqQx6epZTYhQG2eex4hya4MMXFOvcW07FEWkVUw+UA77FkJ0rsREREREgosWPmuaSYhcUIFoYYKkUwNkEQQqVYwmOJwx+WfZAkjAqxx2clJXZhgO0AYuvJZ4vHhSksplg8Me17TLF4YguLLR47UmInIiIiQkKJHTWPeewIuu1YnxIz59+yuBzBxniTNM0+6OCcExIgOo5c89gxVhKIjiUbUmInIYe0nRMb0z5nf0xP+FJTNdU4JXZhQ1dHdsdwAcsQQ2VYwmOJQ0R8KbFj5rGkGAPXyYgjGjfW3iCmsJhi8cQUl7nsG0nWyruE4lkk1WRLSuxERERESCixo8a1pBhDDJVhWI6LIYbKsOyDLHH4w7IPMtcRwB+flZTYhQG244ftKTGuaNyYqoltn3NhjYsJWw1pn6t5SuxERERESCixY+ZwP27A0GvHMsRSHtNN314xEF6YE1QRAN4HkQCO4wjwqCPGSgJve24HSuxERCTksSZAbFRNNU+JXZjQLN/2x1BDDDFUhuU4YolDRHwpsaNGNo+ducSOteUIPrqAAHCtBMC3z53FFBfb0nxme0d0HAFct57YlRI7ERERERJK7Jh5XBIxXBwxxFAZhitY9iE+luhY4vCHZR/UwwVSXUrswgBb88A6NMGGKS62fc6NJy6m/c0TW1y8x5J9KLETERERIaHEjhrXkmJ0XY/lMAy9hH4E50ESIEV7QI69jtjjs5ISuzDA8lSsC9/QBCemuNj2ORemuIhCoca0z9mVEjsREREREkrsmDlcfxkkw3yhH4M/5qLYBOF5Dq8wLvbNsg+64uCrIZ4hPveSYoy1xPP0sh0psZOQw9nMiZ1pn7M/1gSIjWqp5imxCxO6OLI/hipivwqnCY8lDhHxocSOmsPjz9DnXlKM65qPKxo3prjIdjkTU1yuUHiSb9Lhcp47T2xLiZ2IiIgICSV2zGguXc/iisYX+zAmA5YaYonDH54HXLipuas5SuzCAN08dlYXIMiYhsM8McXFugwSU1xM+5sntriY9jm7UmInIiIiQkKJHTXXwxMGRbc361CledO3paUIHvMhF8Irc5Zd0P0gkrXlqAl0dUR4HAE8Q+Z2pMROQg9nOyc2xpgA8VElhQIdSzVPiV2YYO3tYsJSRSRh+MXSy8ASh4j4UmLHjCVTOIcsHBPbvHwm0rCYMFYRSzNhLvvGWEngbc/tQImdhBzSdk5ELgBrAsRG1VTzlNiFCV0c2R/LFSzzsD9LaCxxiIgvJXbU3E/FMnCdi2iHLskw1RLrPscUl3tJMY6s1f1ULBfXPsdRS/akxE5ERESEhBI7Zh5XrgwXsQwxVIblSUWOKPxj2QdZ4vCHJTSWOCpEH6B1lNiFAZahWBeuaHhv+maKiykWVqx1xBYXWTi2pMROREREhIQSO2oO80+OYT6GGHy5lgxiGR7jXgqJo5Ko50jjqCKP9oCxkljOSfakxE5CDuXJSGxNu5z9MT3hy0zVVPOU2IUJlt4gsT/mK3GW44glDhHxpcSOmYNsHjvSkxHrFSxrXEwYh8tZmgnXfHysxxFre24HSuwk5DCejMTeWE+uTFRFImdVK7GbNWsW0tPTERsbix49emDDhg2Vvn7mzJm45JJLEBcXh7S0NIwcORKnT5+uVoGlenRxZH8sM+Yz72zEoYkIiYATuyVLliA7OxsTJ07Eli1b0KlTJ2RmZuLw4cN+X//mm29i9OjRmDhxIrZv34758+djyZIleOqppy648HI+Do8/Q597STFLixF0bPG4MIXF2kvMtO+5YqG5QDqHq47cwXDVkr0EnNhNnz4dQ4YMwaBBg3DZZZdhzpw5qFOnDhYsWOD39evWrUOvXr3wpz/9Cenp6ejTpw/uvffe8/byiYiIiEhgAkrsiouLsXnzZmRkZLh/QUQEMjIysH79er/vufrqq7F582Yzkdu9ezeWL1+OW265pcLPKSoqQkFBgdeXVIPr4QmHQXF5xHYl7mLOY2dxOYLF3bNK1NVwDssuyHxjPkkVkc8Hydue20FkIC8+evQoSktLkZyc7LU9OTkZO3bs8PueP/3pTzh69Ch+85vfwDAMnDlzBo888kilQ7FTp05FTk5OIEWTMMJ4MhJ70z5nf6wJEBMdR7Wjxp+KXbNmDaZMmYLXXnsNW7ZswbvvvosPPvgAzzzzTIXvGTNmDI4dO2Z+HThwoKaLSY95bjEWLBewLHH4w3IccUQhIv4E1GOXmJgIp9OJ/Px8r+35+flISUnx+57x48fj/vvvx+DBgwEAHTt2RGFhIR5++GGMHTsWERG+uWVMTAxiYmICKZr4RTaPndUFqCGsV7GscTFhrCKWCwvqZd/A257bQUA9dtHR0ejatStWrVplbisrK8OqVavQs2dPv+85efKkT/LmdDoBcN6DIyJ81FKFAFWS7amKakdAPXYAkJ2djYEDB6Jbt27o3r07Zs6cicLCQgwaNAgAMGDAADRt2hRTp04FAPTt2xfTp09Hly5d0KNHD/zwww8YP348+vbtayZ4UvNYrmKZ8QzzccThD8txxBKHiPgKOLG7++67ceTIEUyYMAF5eXno3LkzVqxYYT5QsX//fq8eunHjxsHhcGDcuHE4ePAgGjdujL59+2Ly5MnBi0L8I2u9zafEyHp6uaIhRbbPuTAdS65IWC4s3E/F8vCax46jmmwp4MQOALKyspCVleX3Z2vWrPH+gMhITJw4ERMnTqzOR4mIiIhIFWmtWGoOP/8KXSxX4hVhuYJlicMfltBY4vCHZf8jCaNC7O25lZTYEXNPfMvUmc81NAGAMKCziEb5WKuIKi6m/c0TU1xEodiaEjsREREREkrsmDnc89gxLN9CEIJftEuKEV6fMxxHgEccfFVEg31JMZoGz4aU2EnIYRqakNCgfc7+aBMgIjqOaocSuzChiyP7I+kMounVYqYaEuGlxI6aw+NPsSvWq1jWuJgw9nKxXFiYT43yVREAngtZO1JiJyGH8WQk9qZ9zv50IWF/Oo5qhxK7MKGro1DAUUkcUfjHchyxxCEivpTYUXM/FcvAvaSYteUINrJwTExxse1zLkxxuZcU48D44LLn/sZST3akxE5ERESEhBI7Zp7z2BFcHzHE4I9rYWya4TGzZ5Wpr+Esnn3wbBx8NUR0HJ3DeBwBPA+52JESOwk5nM2c2Jn2OftjTYBEAqXELlzo4sj2WKqIJQ5/WDoZWOIQEV9K7IgZZPPYsZ6MWPsZWONiwtjJxdJOuIYqCasIAM95yY6U2EnIYTwZib1pn7M/VZH96TiqHUrswgTLVSwzlpuJWeLwhyUyljhExJcSO2YOznns2LBexbLGxYRxJQCWJ5ddUbAeR6ztuR0osZMQRNrSiW0xJkB0VEW2p+OodiixCxO6OLI/ljpivhJniY0lDhHxpcSOmtmZb2kpgsU1xMI2NEEWjgeiyIhC8cR0LLl6g1iSVv4lxUgqyoaU2ImIiIiQUGJHzT2PHcOTigQh+Ee2pBjzTd8MxxHg0fttcTlqAkcNeR5HjLXE097ZkRI7CTmczZzYmfY5+yPNf6ioimqHErswoYsj+2O5gmXp1fKHJTLiKhIJe0rsmDlcf3FcJ7GeizhqxxdrXFQYu7lIslb2JcWk5iixk5DDes+J2Jf2OftTFdmfjqPaocQuTJBcxFJjefyfI4oKkASn9kCElxI7Yob5VCzHVRLjvE4Ab08DU1xMsXhiCssVC0vOaibfRJXkGYouLmqOEjsREREREkrswoADPMN8jMz1E0mqyN2zStTVcA7LccS6igsjxuNIapYSO2ocJyE3nYzEGtrl7M8gneibiZYUqx1K7MIES2PHjKeKeCIpj+Y4YolDRHwosWPm4Hx4gg1rDyRrXEwYp5+gaSYc3CMUrO25HSixk5DDeDISe9MuZ3+qohCgSqoVSuxEbIJlKS6SMPxiCY0lDhHxpcSOGtlQrNUFqCGsvUGscTFhrCKaC6Rzf7MeRxy1ZE9K7CTkkLZzYmOacsL+WBMgJjqOaocSuzBBchFLjaWKWOLwh+U4YunVEhFfSuyIGeZTsRwcpGuKkYVjYro6Z+0N4orr3Dx2FpciWBgn+vaax04XFzVGiZ2IiIgICSV21NyrSDPM8h36EfhHN2O+q6eBp6PBxHAcAZ4tAx+a44h8pR2SarIlJXYSckjbORG5AKwJEBNVUe1QYhcmWK5imfH0BnHE4Q/LccQSh4j4UmIXBljacJ2MRIKLcRUXlgsL0mfFTGrPa44SOwk5jCcjsTftc/anGrI/HUe1Q4ldmNDFkf2xXMGyxOEPS2gscYiILyV21NiWFOM8HbFexLLGJTZH0kzQLynGfAVoMSV2EnJI2zmxMe1z9seaADFRFdUOJXbEXAeRA4aujmzMYJsx/9zfTDPmm0iOI1d7oGQoFKiSJDBK7JiRnIRcmCe+FXvTPmd/dBdILIF40HFUO5TYhQnCNoIPSSUx9w6zRMYSh4j4UmJHzeHxp9gV61Usa1xMGIfLWa4rmJcUY6kju1JiJyGH8WQk9qZ9zv4YEyA2Oo5qhxK7MKErJPtjnc6FCc1xxBKHiPhQYkeNbB470pMRR+34Yo2LCWMvF80FEvGSYiQ1ZFtK7CTkMJ6MxN60z9mfqigEqJJqhRK7MMH8pCILlipiicMflt4gljhExJcSO2KGg20olvNkxLowNmtcTBhriKWZcC8pxldLrG25XSixk5DD18yJ3Wmfsz/GBIiNaqh2KLELA7o2sjf30m8cHMw3fZNUklZxCR2qIgmUEjsJGeY5VS2d1DIlQKGDJ/kmCcSD6zjii8xeqpXYzZo1C+np6YiNjUWPHj2wYcOGSl//66+/Yvjw4WjSpAliYmJw8cUXY/ny5dUqsFSDjqKQwNKQM9+YzxIZSxwi4isy0DcsWbIE2dnZmDNnDnr06IGZM2ciMzMTO3fuRFJSks/ri4uLceONNyIpKQnvvPMOmjZtin379qF+/frBKL9Uiu3hCatLUEM4qseHernsj3ElAJYLC/fDE5YWo0bQtuU2EXBiN336dAwZMgSDBg0CAMyZMwcffPABFixYgNGjR/u8fsGCBfj555+xbt06REVFAQDS09MvrNQS1hhPRmJ32ufsjjEBYqO2u3YENBRbXFyMzZs3IyMjw/0LIiKQkZGB9evX+33Pe++9h549e2L48OFITk5Ghw4dMGXKFJSWll5YyaXKdHEUGliuYlni8IclNpY4RMRXQD12R48eRWlpKZKTk722JycnY8eOHX7fs3v3bnz88cfo378/li9fjh9++AHDhg1DSUkJJk6c6Pc9RUVFKCoqMr8vKCgIpJjiwjaPHWmKylE7/vBGxoKxl4slaaV+upy0LbeLGn8qtqysDElJSZg7dy66du2Ku+++G2PHjsWcOXMqfM/UqVORkJBgfqWlpdV0MSWEMJ6MxN60z9mfhvnsT8dR7QgosUtMTITT6UR+fr7X9vz8fKSkpPh9T5MmTXDxxRfD6XSa29q1a4e8vDwUFxf7fc+YMWNw7Ngx8+vAgQOBFFPOMedH08WRrbkmVmWpJu6bvjlqST0moUMTL0ugAkrsoqOj0bVrV6xatcrcVlZWhlWrVqFnz55+39OrVy/88MMPKCsrM7d99913aNKkCaKjo/2+JyYmBvXq1fP6kurgaryZhybE3nRutT+2OiK5hvBiVhFhbHYS8FBsdnY25s2bh8WLF2P79u0YOnQoCgsLzadkBwwYgDFjxpivHzp0KH7++Wc89thj+O677/DBBx9gypQpGD58ePCikErpGAoNLA05S68WM1WRCK+Apzu5++67ceTIEUyYMAF5eXno3LkzVqxYYT5QsX//fkREuPPFtLQ0/Pvf/8bIkSNx+eWXo2nTpnjsscfwl7/8JXhRSKXUhtsbWUeDiTUuJhrmE+ETcGIHAFlZWcjKyvL7szVr1vhs69mzJ7744ovqfJRcEK6Uzn3vlk5GUrt0Y779mctVkXRHMt4HyXY/sV1prVgR2+Bo7jii8I8kZ6CJQ0R8KbEjZpxrvFnmsWPNGFg7IFnjYsJYRyzNhPmwGGMdsVSSTSmxk5BD2M6JzTGeXNmoiuxPx1HtUGIXBhjv1WBEcxXLEocfPMcSSxwiUp4SO2paUiwUsN6Yr4dc7I+xhmgukM5hbB9Y23K7UGInIUf5gtQ27XL2pwsJkbOqNd2JhBiHGjw7M6dpsLYYQWNOS2NpKWoGS28Q8435bMrXUVlZWYXLcdrdmeIiNI13IibSidOnT1tdHFuJioryWnr1Qiixo0ZyFjqH5aQqoUcJkP2Za2NbWorg8TcfX3FxMfbs2eO1RGcoOVNahknXJyHCAezZs8fq4thO/fr1kZKScsFzMSqxCwMsDR07molVSeLwhyUyljjCiWEYOHToEJxOJ9LS0rxWeAoVxWdKUXa0EA6HAy2T460ujm0YhoGTJ0/i8OHDAIAmTZpc0O9TYkfMMB+e4MASR3msvUGscTGhvDGf5MLCvdLO2b/PnDmDkydPIjU1FXXq1LGsXBfCcaYUjsgSRDgciI2Ntbo4thIXFwcAOHz4MJKSki5oWDb0Un4R6EZpqV2MCRAd8ioqLS0FAERHR1tcEqkproS9pKTkgn6PErswQHIBS4+lmlji8IflWGKJIxyx9EiKr2DVrRI7alzPJ6pBCy3q5bI/xo5vllbCfHKZ8DhiqSO7UmInIYnxhCQ2pv3N9hgTIDrlquiBBx5Av379ar0YkyZNQufOnYPyu3766SckJSVh7969lb7unnvuwbRp04LymeejxC4MqJLtzXW/IEuHpIOro9gLy4z5rjgIq4gO80XsSy+9hEWLFlldjEplZmbC6XRi48aNfn8+efJk3HHHHUhPTwcArFmzBg6HA7/++qvX68aNG4fJkyfj2LFjNVxinfO5sWQK53BFIyI1gaXZY7mIqExCQgLq169vdTEqtH//fqxbtw5ZWVlYsGCBz89PnjyJ+fPn46GHHjrv7+rQoQNat26Nv//97zVRVC9K7CQkMV7EsjTkLHF4Mie/JQmNJQ5PzD1boeydd95Bx44dERcXh9SUJDx8bz+cPFkIwHco9vjx4+jfvz/q1q2LJk2aYMaMGejduzdGjBhhviY9PR1TpkzBgw8+iPj4eDRv3hxz5871+sy//OUvuPjii1GnTh20atUK48ePr9aTpgsXLsRtt92GoUOH4q233sKpU6e8fr58+XLExMTgqquuAgDs3bsX119/PQCgQYMGcDgceOCBB8zX9+3bF7m5uQGXI1BK7Ii5Z2JXi2dnrLXDGhcVZUO2V1ENGYaBk8VnLPmq6nRThw4dwr333osHH3wQ27dvx4crV+GGm26rcL/Lzs7G559/jvfeew8rV67E2rVrsWXLFp/XTZs2Dd26dcPWrVsxbNgwDB06FDt37jR/Hh8fj0WLFuHbb7/FSy+9hHnz5mHGjBlVKrPn/+/ChQtx33334dJLL0WbNm3wzjvveL1m7dq16Nq1q/l9Wloa/u///g8AsHPnThw6dAgvvfSS+fPu3btjw4YNKCoqCqgsgdIExdS4Lss9exnONixc8Yl9ad5E+3PXEEe7cL5e1VMlpbhswr9rpzDlfPt0JupEnz99OHToEM6cOYPf//73aNGiBZo0LUVUUjqcEb7BHT9+HIsXL8abb76JG264AcDZHrPU1FSf195yyy0YNmwYgLO9czNmzMDq1atxySWXADh7P5tLeno6nnjiCeTm5uLJJ5+scowfffQRTp48iczMTADAfffdh/nz5+P+++83X7Nv3z6v8jmdTjRs2BAAkJSU5DPMnJqaiuLiYuTl5aFFixZVLkug1GMXBjiaOX4sw2MscTBTFUlt6NSpE2644QZ07NgRf/jDHzB//l9RUO6hApfdu3ejpKQE3bt3N7clJCSYyZqnyy+/3Py3w+FASkqKuRwXACxZsgS9evVCSkoKLrroIowbNw779+8PqOwLFizA3XffjcjIswnsvffei88//xy7du0yX3Pq1KmAVtBwrS5x8uTJgMoSKPXYhQGWRpzx3i2AdzSMNS4mjFXEcmFhhlFBJcVFOfHt05m1VRyfz64Kp9OJlStXYt26dfjwww8xe9YsHBw3Dm+9/xHap3aq9udHRUV5fe9wOFBWVgYAWL9+Pfr374+cnBxkZmYiISEBubm5AU018vPPP2Pp0qUoKSnB7Nmzze2lpaVYsGABJk+eDABITEzEL7/8EtDvBYDGjRtX+T3VocROQhLjCUnsS/ub/YXbhYTD4ajScKjVHA4HevXqhV69euHJMWPRqmVLrPrX+8i8yjuxa9WqFaKiorBx40Y0b94cAHDs2DF89913uPbaa6v8eevWrUOLFi0wduxYc9u+ffsCKvMbb7yBZs2aYdmyZV7bP/zwQ0ybNg1PP/00nE4nunTp4vOUq2vJN9cScJ6+/vprNGvWDImJiQGVJ1Aaig0HJFewIlZjWf2EJQ6xty+//BJTpkzBpk2bsH//fixbuhS//HwUrdr6Dq/Gx8dj4MCBGDVqFFavXo1vvvkGDz30ECIiIgLaX9u2bYv9+/cjNzcXu3btwssvv4ylS5cGVO758+fjrrvuQocOHby+HnroIRw9ehQrVqwAcHaOu2+++car165FixZwOBx4//33ceTIEZw4ccL82dq1a9GnT5+AylIdSuyIGecOBpomnCYQb6wz5rPGxYSxl4ulmWBYUqxevXr49NNPccstt+Diiy9GzsQJeHz8M7jmtzf6ff306dPRs2dP3HbbbcjIyECvXr3Qrl27gO5ju/322zFy5EhkZWWhc+fOWLduHcaPH1/l92/evBn/+c9/cOedd/r8LCEhATfccAPmz58PAOjYsSOuuOIKvP322+ZrmjZtipycHIwePRrJycnIysoCAJw+fRrLli3DkCFDqlyW6rJ/P66IH4wnJLEv7W/2F8oJEKt27dqZvVsAcLqkFN/lHze/L7/qRHx8PN544w3z+8LCQuTk5ODhhx82t/lbumvbtm1e37/wwgt44YUXvLZ5zoU3adIkTJo0yW+Zu3btWulT8MuXL/f6fsKECRg1ahSGDBmCiIizfWXjx4/3SSYXLlyI7t27m3Pe1SQldmEgQg2erbnaEJbRMdewCWMyRFJFJiVD9sd4HFVk69at2LFjB7p3745jx47h6aefBgDccccdFpesYrfeeiu+//57HDx4EGlpaRW+LioqCq+88kqtlEmJHTWu0xBL4iMiNYennaAJJCAvvvgidu7ciejoaHTt2hVr166t8YcNLpRnb2BFBg8eXPMFOUeJXTggbB8YexpYpnPhiMKblhSzv3Dq2WLVpUsXbN682epihDw9PBEW1OLZGWvtsMbFRMmQ/amKJFBK7KhxXZZ7RqMTktQmLSlmf+61sTnaPcZeVRfi0GxBiV0Y0EEUGlgacpY4/GEJjSX5ERFfSuyIGefabpYmnHVSVdbOIPVy2R9jDbE0E64wOI8jkkqyKSV2IiLnwXhqpUOZAIkETokdM9f8aNaWQs7rbEXR9DSYM+bzYek1NuuIsZLIqIokUErsmJGchFy4ohGRmsDS7LFcRFTmgQceQL9+/Wr9cydNmoTOnTsH5XcVFxejTZs2WLduXaWvGz16NB599NGgfOb5KLELA4ztA2NPA8sN7SxxeGFbHcTqAtQAwiaB3ksvveSzrJgd7N27Fw6Hw/yKjo5GmzZt8Oyzz/rc8zhnzhy0bNkSV199tdd7yy9z9sQTT2Dx4sXYvXt3jZdfiV0YcKjJszXGJBWAzrQhgHGibza07QOAhIQE1K9f3+piVOijjz7CoUOH8P333yMnJweTJ0/GggULzJ8bhoFXX30VDz300Hl/V2JiIjIzMzF79uyaLDIAJXbUDLLrcs/eEp2QpDZpf7M/c81lknaPIwrgnXfeQceOHREXF4emKUl4+N5+OHmyEIDvUOzx48fRv39/1K1bF02aNMGMGTPQu3dvryW70tPTMWXKFDz44IOIj49H8+bNMXfuXK/P/Mtf/oKLL74YderUQatWrTB+/HiUlJQEXPZGjRohJSUFLVq0QP/+/dGrVy9s2bLF/PnmzZuxa9cu3Hrrrea2li1bAji7iobD4UDv3r3Nn/Xt2xe5ubkBlyNQSuxEbIJmmI8kDn9YQmOuo7BhGEBxoTVfVexGPHToEO699148+OCD2L59O1asXIUbbrqtwilcsrOz8fnnn+O9997DypUrsXbtWq9EymXatGno1q0btm7dimHDhmHo0KHYuXOn+fP4+HgsWrQI3377LV566SXMmzcPM2bMqN7/8zmbNm3C5s2b0aNHD3Pb2rVrcfHFFyM+Pt7ctmHDBgDu3r53333X/Fn37t3x3//+F3v37r2gspyP1ooNAxqKtTfW2lEvVwhQFdlehVVUchKYklqbRXF76kcguu55X3bo0CGcOXMGv//979GiRQskNy1FTFI6IiN8+5SOHz+OxYsX480338QNN9wAAFi4cCFSU31jvOWWWzBs2DAAZ3vnZsyYgdWrV+OSSy4BAIwbN858bXp6Op544gnk5ubiySefDCjMq6++GhERESguLkZJSQkefvhhDBgwwPz5vn37fMrXuHFjAO7ePk+u1+7btw/p6ekBlSUQSuyocV2Wew6xMN93Ivaj/c3+DINrfieGXtVOnTrhhhtuQMeOHZGZmYnev81Ap2sy0bBhQ5/X7t69GyUlJejevbu5LSEhwUzWPF1++eXmvx0OB1JSUnD48GFz25IlS/Dyyy9j165dOHHiBM6cOYN69eoFXP4lS5agXbt2KCkpwddff41HH30UDRo0wHPPPQcAOHXqFGJjY6v8++Li4gAAJ0+eDLgsgVBiFwYI2gdqrhMSSz25Z8y3tBg1g+FsC/dUGoxVRKeiAymqztmeMytE1anSy5xOJ1auXIl169bhww8/xJzXZuHg+HHIfX8VLku9/Py/oKKPj4ry+t7hcKCsrAwAsH79evTv3x85OTnIzMxEQkICcnNzMW3atIA/Jy0tDW3atAEAtGvXDrt27cL48eMxadIkxMbGIjExEV999VWVf9/PP/8MwN2rV1OU2BEzSE5CLmThiEgNYGkmztveORxVGg61msPhQK9evdCrVy+MGj0WrVu1xEcr3kefq7wTu1atWiEqKgobN25E8+bNAQDHjh3Dd999h2uvvbbKn7du3Tq0aNECY8eONbft27cvKLE4nU6cOXMGxcXFiI2NRZcuXTB79mwYhmFeLEVHRwMASktLfd7/9ddfIyoqCu3btw9KeSqixE5CknoapDZR9j6SURXZz5dffolVq1ahT58+SEpKwtrP1+OXn4+idVvf4dX4+HgMHDgQo0aNQsOGDZGUlISJEyciIiIioMma27Zti/379yM3NxdXXnklPvjgAyxdurRa5f/pp5+Ql5eHM2fO4KuvvsJLL72E66+/3hzWvf7663HixAl888036NChAwAgKSkJcXFxWLFiBZo1a4bY2FgkJCQAOPuwxTXXXGMOydYUPRXL7FxLF6Emz9ZctUPTI+ka5iPc7Wiq6NzfnAvMcwnlGqpXrx4+/fRT3HLLLbj44ouRM3ECHh//DK757Y1+Xz99+nT07NkTt912GzIyMtCrVy+0a9cuoPvYbr/9dowcORJZWVno3Lkz1q1bh/Hjx1er/BkZGWjSpAnS09Px8MMP45ZbbsGSJUvMnzdq1Ai/+93v8MYbb5jbIiMj8fLLL+P1119Hamoq7rjjDvNnubm5GDJkSLXKEgj12DGjyRRERKqGZSkuhvn42rVrhxUrVpjfnyouxfeHj5uRlV91Ij4+3itJKiwsRE5ODh5++GFzm7+pQsqv8vDCCy/ghRde8NrmORfepEmTMGnSpArLnZ6eXuWLnrFjx+LGG2/E2LFjcdFFFwEABg8ejMGDB3u97l//+hciIiJw1113Ven3Xgj12IWD0G8ffHD2NHBUFEcU3lxTt5DkDJSVRNkk0Km8krZu3Yq33noLu3btwpYtW9C/f38A8Or1spvLL78czz//PPbs2VPp6woLC7Fw4UJERtZ8f5p67KhxPW3JivWERBoWFdZ9j0m41dGLL76InTt3Ijo6Gl27dsXatWuRmJhodbEq9cADD5z3NbXRU+eixI4Y95JiIrUn3E6uoci8V9XSUgQRTSBV16VLF2zevNnqYoQ8DcWK2ATLMB9LHP4w3PcE8MQhIr6U2FFzePwZ+lhPRpz3C/LGxYSxhlguLMwnlylrSWqSEjsJScoZpDZpd7O/cLmQCJc4w5Fr9YwLpXvswoBDpyVbY7s3yN3TwIemN+hcHMoR7M9VR1FRUXA4HDhy5AgaN24cktO6FBWfgXGmGGVlETh9+rTVxbENwzBQXFyMI0eOICIiwly9orqU2BFjfnhCRMQflmaifOLmdDrRrFkz/Pe///U7l1soKD5ThsPHixAZ4UBEYdUnHQ4XderUQfPmzRERcWGDqUrswgBLQ+eFsKchFK/A/WGJw5Or14QlMpY4ws1FF12Etm3boqSkxOqiVMt3eccx6b3NaHxRDHL/3NPq4tiK0+lEZGRkUNpPJXZhQEOxNkdaPRrmsz/dmG9/5Y8jp9MJp9NpTWEukCOyCAePl6IsoiygZcIkMHp4QkKGehlE5HxYeow5ovCPOTY7UGIXDgiPIsaeBpZqYonDG9eSYixxeFIPsf0xttt2pMQuDBC24VR4mzreyFgoGbI/VZEESokdMb6nYt3x6IQktUn7m/0ZZGtjM/eqsgyX25USuzCghyfszTXhKEtbxzxHGsvqJyxxhANNSCyBUmLHjCVTOIcrGhGpESQNhZJvqS4ldhKSdA0rtUn7m/2pY8v+VEW1o1qJ3axZs5Ceno7Y2Fj06NEDGzZsqNL7cnNz4XA40K9fv+p8rFSTsnd7cy8pxnGF7oqDshHnqCKP4XLKWhIJawGf85csWYLs7GxMnDgRW7ZsQadOnZCZmYnDhw9X+r69e/fiiSeewDXXXFPtwkqgSM5C55CNLItIDaC5QOIIwy/m2Owg4MRu+vTpGDJkCAYNGoTLLrsMc+bMQZ06dbBgwYIK31NaWor+/fsjJycHrVq1uqACiwCcPQ00jR1LHB7MB1wsLkewsMThia9F4MPYbttRQIldcXExNm/ejIyMDPcviIhARkYG1q9fX+H7nn76aSQlJeGhhx6q0ucUFRWhoKDA60sC5x7i08FkZ6xtHWtcTFRF9qfjSAIVUGJ39OhRlJaWIjk52Wt7cnIy8vLy/L7ns88+w/z58zFv3rwqf87UqVORkJBgfqWlpQVSTDFxXZdr7iMROR+WZoIkDL9Y6siuavS++uPHj+P+++/HvHnzkJiYWOX3jRkzBseOHTO/Dhw4UIOlDAOER5EuYu2Lb2/z6P1mOZZY4vCgni37UxXVjshAXpyYmAin04n8/Hyv7fn5+UhJSfF5/a5du7B371707dvX3FZWVnb2gyMjsXPnTrRu3drnfTExMYiJiQmkaFIJDcXaG+v6iaxxMVEyZH86jiRQAfXYRUdHo2vXrli1apW5raysDKtWrULPnj19Xn/ppZfiq6++wrZt28yv22+/Hddffz22bdumIVapNp2QpDZpf7M/tiXFeAJxM5cUYwzORgLqsQOA7OxsDBw4EN26dUP37t0xc+ZMFBYWYtCgQQCAAQMGoGnTppg6dSpiY2PRoUMHr/fXr18fAHy2S/Dp4YnQ4F4/0dpyBAv3kmIcXHGoN8j+GI8jqVkBJ3Z33303jhw5ggkTJiAvLw+dO3fGihUrzAcq9u/fj4gITYlrCyyZggeHQw2diFSMpdlj7tViqSO7CjixA4CsrCxkZWX5/dmaNWsqfe+iRYuq85FyARiPIcaeBpYb8xlPSO6HJywtRtCwxOFJF3yhQJVUG9S1xkzHUEhgrSbWuJgoGbI/VZEESokdMYPwspwvIhEJJpYeY8Lm20Qcmi0osQsDlA0E4WUsSzUx7m/mkmIksbEkPxJa1ENcO5TYhQE9FWtzpNWjdSHtTzVkfzqOJFBK7KjxXZW7HjBQUycinvh6VfnQreBiU0rsiLnnsRM7MydWJakoljj8YRnCZJ5rkI2qSAKlxE5ERESEhBI7ahy9C57MGfN1GSu1SPub/fGt4EISiAf3kmJSk5TYUXOtnaizkp2xrZ/oioMxGWI517rDIKwkNqoiCZASO2okZyEPLCdWEakpHI0EdVvHHJsNKLELA4zHEOeSYlaXIDhY4vDEtr9x1pHYnaZuqR1K7MKCDiY7Y60dtmSIkc6z9qcqkkApsSNmEPbVsdyHJiI1g6U3kiQMv5hjswMldmGA+ekqJny1xMP9xCVHLbHE4YmxTWCjKqodSuzCgJ6KtTfW+05Iw6KiOrI/1vZBao4SO2aEV+Wubi01dVKbdG61P3MFF4vLESyMzTdbz7ddKbEjpskgQ4OZM5BUlLmeL2EyRFJFJj3gYn+qIQmUEjtmhFdFfBGJSDDxNHs0gfjgjcwelNhJSGK874TliV+OKLyZw3wkwbHE4YmwSaCjHuLaocSOmaElxUIB6wmJNCwqrPseE9WRBEqJHTPCy3LCkEQkiGh6vjnC8Is5NjtQYichifEqlqWxY4nDk/tBJI7gWOLwRNgk8FEl1QoldsRcx5CGYsUKjPdBslEN2Z/uS5NAKbGjxndVztjTICLBw9JjTBKGX2rHa5YSuzCgQ8i+PHu1WOrJFQdTP4PZ+01SSa44qDpVqYJxYwqLKBRbU2InIiIiQkKJHTHjXN8JSScDANKehnNYltlhicML2SouLHF4ct9TzIHxOHIvKWZtOdgpsaNmlPtb7IYxQTUxx0ZCN+bbH3UbITVCiR01vssivohEJJhYero4ohArKLELAyTtnBfGngaWamKJw5OWFLM/9WzZH2O7bUdK7MIAYRtOg7mZUyMeAlRFInSU2BEzCFM6lmEWEZHKMDd1asdrlhI7CUmMwy4sbR1LHJ7c+xtHcIwTxKqH2P4Y2207UmIXBrSkmH0xL7tFHBoNVZH9MbcRUjOU2DEj7Drhi0hEgoml2WPsVXXhjcwelNgRM8gmVfXEcg3rGQdPQ342DpY6ApiXFOOpJaJQvDCFxRSLnSmxExERESGhxI4ZS/eCJ8KeBhNJdTHudq79jTA0Gu4lxThqifo4IozNTpTYUXOdjAiTIBKM+akLc2wsVEX2p+NIAqXEjhjlPHZWF0BEbE29QfanOqpZSuzCAeFBxHgRy9LYkYThxf3wBEd0LHF4Us+W/amKaocSO2aup2J1NNkW86SqzLGxUDJkfzqOJFBK7JgRXpUz9jSISPCwtBDMTR3LAy52pcSOmPspMb4rPpaeBs84WJo69xxp1pYjmNjmhHTFQVRFtD1bTMcRaRXZjhI7ERERERJK7KidvS5n6tJ3x8J36ccyzMw4zMK68gQVV68qSWycx5HmsasNSuzCAl8SJPanvc7+KCf6JqMakkApsRMREREhocSOmPvhCR7mTd+El7Es9UQ5zEK2FBJJGF745hq0ugTBx/YQkl0psROxEGOCaqIOjoNqyP50GEmglNhR47suYrkaF5GawdJCUDd11MFZT4ldGGA8hBgvYlnaOpY4PLlva+AIjvECSQ+C2J+qqHYosQsDjBMUs2CdVBXgTL7pqJJCgCpJAqPEjphB0rvgiS8iEQkqkkaCpXfYH97I7EGJXRhgPIhYuvS9lxTjqClXHCx1BHjEwlFF7mXfiHqDmPY3T0xxEYVia0rsREREREgosWNG0rvgibGnwYXmfnaWODyYSyFZXI5gYYnDE98DLlaXIPgMsvkg7UqJHTH3ZJB8SRAL5prRU4r2pyqyP1WRBEqJHTPKyyLGmEQkWFiaPZIw/GKOzQ6U2IUDwqNIPQ32Rbi7uXu/abIGkjg8qE2wP1VR7VBiR0zr8tkf83Alb2Q8iHc/GsxthNQMJXbU+FI6wo4GEQkiliaCua2j6fm2qWoldrNmzUJ6ejpiY2PRo0cPbNiwocLXzps3D9dccw0aNGiABg0aICMjo9LXS/AxPjzBchHrGQZLW+dqtFnqCODr/XbFwfR0OVMsnpiiYmoT7CzgxG7JkiXIzs7GxIkTsWXLFnTq1AmZmZk4fPiw39evWbMG9957L1avXo3169cjLS0Nffr0wcGDBy+48CIiIiLiFnBiN336dAwZMgSDBg3CZZddhjlz5qBOnTpYsGCB39e/8cYbGDZsGDp37oxLL70Uf/3rX1FWVoZVq1ZdcOGlcgZLF5AHvojcaObfsroANYjlkGKJwx+e2GgC8cEbmT0ElNgVFxdj8+bNyMjIcP+CiAhkZGRg/fr1VfodJ0+eRElJCRo2bFjha4qKilBQUOD1JdVAPI8dy7AL89AEU2hMsXhi2v+YYvHEFRdVMLYVUGJ39OhRlJaWIjk52Wt7cnIy8vLyqvQ7/vKXvyA1NdUrOSxv6tSpSEhIML/S0tICKaaIiIhIWKrVp2Kfe+455ObmYunSpYiNja3wdWPGjMGxY8fMrwMHDtRiKYkQ9nebS4oRXvixDCGxxOHJXAqJ5KBiicMfltg4j6OzfzPGZieRgbw4MTERTqcT+fn5Xtvz8/ORkpJS6XtffPFFPPfcc/joo49w+eWXV/ramJgYxMTEBFI08cO9dqLYFmGC6qL5t+xPNWR/Oo4kUAH12EVHR6Nr165eDz64HoTo2bNnhe974YUX8Mwzz2DFihXo1q1b9UsrAeJL6ViuxkWkZrD0BpGE4Zfa8ZoVUI8dAGRnZ2PgwIHo1q0bunfvjpkzZ6KwsBCDBg0CAAwYMABNmzbF1KlTAQDPP/88JkyYgDfffBPp6enmvXgXXXQRLrrooiCGIhLaWJo6ljj8oUkaSOLwpJ4t+1MN1Y6AE7u7774bR44cwYQJE5CXl4fOnTtjxYoV5gMV+/fvR0SEuyNw9uzZKC4uxl133eX1eyZOnIhJkyZdWOmlUgbxU7EsWJ7uldCkXMj+VEUSqIATOwDIyspCVlaW35+tWbPG6/u9e/dW5yMkGAgvywlDEpEgYmkiqJfdIg7NDrRWbBhgPIZYeho842BpyLWkmP254+CpJJ5IyiEKjKlNsDMldiIiIiIklNiFAZKOIAA8PSb+sMTGEodfJMExtQk+SILjiMI/5tjsQIkdMcPPv1iwPHTAEYV/LHUEcMXiiWlojCkWT0xhsR5HdqPETkRERISEEjtqDo8/OTDemO9CMoLEtcOd4354giM4ljg8uXqDWCKjaQ88aEmx2qHELhwQJkEsmCdVJQ6NhqrI/pjbCKkZSuyIGTTXriIiVcPSG8TYq+rCHJsdKLELAw4H3xUfS0SecdDMY3eu0WapI8AdC0kVmeOVTL1BRKF4YQqLKRY7U2InIiIiQkKJHTHGoViaHhNizHXEEhpLHP6wDPNRH0fEsdmBEjtqrqfE+DrAWYaQSMLwiyk2lv2tPKaomGLxxLTrsR5HdqPETkRERISEEjtqfP3dri58tus+pqEJolBM7ocnOKJjicOT5kgLHaqjmqXEjph5MqJLg3gwL7HDHBsLjYzZn44jCZQSO2p8l0UsN0aLSM1gaSGYe7XUjtcsJXZhge8gYutpYKohyhMS2TAfSRjlkDUKhNjabbtSYkdMQ7EhgLhq1Ijbn6rI/nQcSaCU2DFj6V7wQBiSiAQRSxvB+ICLC3FotqDEjpnBO48dS18D29OWAOf9M+7ebw7m0+VE3UFEoXhhCksPgtQOJXYiIiIiJJTYEXMtKUbUGUTTY1IeU1xM+1t5LLGxxOEPS+83RxRiBSV24YCw95tl2IUlDn+4hvl4YmFFW0VEcdHWkc0osRMREREhocSO2bkhCaYufdcwC9uFH8noEQCuWFzc+xtHcJwPuHC1CpTHkTkfJGFwNqLEjpi725urwWPCdjLypGEX+1Md2R9zGyE1Q4kdNb6rIr6IRCSYWDqDGHtVXXgjswcldtTOzWNHeBSx9DSYQxNUTR3fcLl7CMnacgSLOY8dUS2xtAnlMcVFFIqtKbETERERIaHEjpjB0r3giTAkAFRxMe52LsSh0WDp/aY+johjswMldsxcw0dMffnnsMwrxhGFfyRVBIBryNITVx1xYoqLpd22OyV2IiIiIiSU2BFzLSlGMjIBgCoUL0xxMcVSHsv8Wyxx+MMSGkkYfjHHZgdK7MKAg6oz/yyWiJiHJpiGL1mriSkuplg8MbURPJHYmxI7ERERERJK7KjxdXibS4qRXfqxDB8BXLG4uOcb5MAShydXDzFNbDSBeNCSYrVCiR0xV+6jQ8i+2BJUT8yxsWAaLmelGpJAKbFjRnhVxBeRiAQTS7PHMh+fP7yR2YMSO2Kum245H57giompEXcQLinmQpM0uJYUY6okplg8MNURW7ttV0rsREREREgosaNG0r3ggaXHpDymuJhiKY+lZ5UlDn9YYqM+johjswMldsTcD08Qdn+ThMQ0zOKDKDimucQ8MUXFFAsr0sPIdpTYiYiIiJBQYsfM7O/m6fdmGWYpjykqpljKYxlCYonDH5bYSMKoAHd0VlNix8ycVJWv/5slIuanxJgiY4rFC1FgrMPlAE9sHFHYnxI7ERERERJK7IgxPjzBNv+WuVQVy/gROJd9Y4oFcA+EMfUY80RylmebwLL/uds7a8vBTomdiIiICAkldsx0WRQyVFOhgeWQYonDH5beb44o/GOOzQ6U2BEzqB+e4IiJIwr/WOoI4IrFE8sQH8AVS3ksobEeR3ajxE5ERESEhBI7aoTz2JEMs/ggCou1igCmeRRZ4vDFEhn1cUQcmx0osSNm+PkXC5ZhF5b5qfxhCo0pFk9MYTHFUh5LO0EShu0psRMREREhocSO2bn+bqZeb/f8W1y46ogpmrPMOSFJQmOJw5OrV4slNurjiDA2O1FiR8zd7c2WBvFgrhnm2FiwDPGxUy1JIJTYSUhhuRoXkZpB00TQBOJL7XjNUmJHzN3tzYelp4FzSbGzf5NUEQC+pZAYb2lgiqU8mmOJJhB7U2InIiIiQkKJHTPGhyeYgvHAFBdRKD5Ybvpm6iEujyU2kjD8Yo7NDpTYEWN+eIInIp5IyuNaPogpFjeqkTGmWMphOZY4orA/JXYiIiIiJKqV2M2aNQvp6emIjY1Fjx49sGHDhkpf/49//AOXXnopYmNj0bFjRyxfvrxahZVAEQ7FUkXjxhQV8zALS2wkYfilOrI/1nbcLgJO7JYsWYLs7GxMnDgRW7ZsQadOnZCZmYnDhw/7ff26detw77334qGHHsLWrVvRr18/9OvXD19//fUFF14qx7ykGEtIVENh5RHFxlpPTGGxDFf6w7L/scRhdwEndtOnT8eQIUMwaNAgXHbZZZgzZw7q1KmDBQsW+H39Sy+9hJtuugmjRo1Cu3bt8Mwzz+CKK67Aq6++esGFFxERERG3yEBeXFxcjM2bN2PMmDHmtoiICGRkZGD9+vV+37N+/XpkZ2d7bcvMzMSyZcsCL20NKiszcPDXU1YXI6hOFZcCAGKN08Av+ywuTXAkl+UjD6dw5HgRDvx80uriXLC8gtMAeJ7kA9yxFJwuoagjACh1LVdlcTmCxbW7FZWU0tTRyXPtHU8duSP57y+nEBMZ+rfE/3Ky+Ow/WCrJpgJK7I4ePYrS0lIkJyd7bU9OTsaOHTv8vicvL8/v6/Py8ir8nKKiIhQVFZnfFxQUBFLMaikuLcM1L6yu8c+pTfc5D6N3FND+5AbgpcutLk5Q/BXApuiLcdf/NbC6KHIeb204gLc2HLC6GFKJHXnH6do9RhnTP7G6CBJCAkrsasvUqVORk5NT658bF+Ws9c+sSdvQAQfRGMnOE4iM4LhEKiktwxkjmq6ubu+UanURgqb3JY3x7paDKCw6Y3VRguqSlHi0aFTX6mIERee0+mjVuC4O/Xra6qIEVcO60biqVSOrixEUdaOduPGyZHz2/VGrixJU0ZER6HNZ8vlfKNUWUGKXmJgIp9OJ/Px8r+35+flISUnx+56UlJSAXg8AY8aM8Rq+LSgoQFpaWiBFDVhslBPbn7mpRj/DGoOtLkBQRQG4CsB2qwsiFbq6dSI2jcuwuhhSiUYXxeDjx3tbXQyphMPhwLwB3awuhoSggAbto6Oj0bVrV6xatcrcVlZWhlWrVqFnz55+39OzZ0+v1wPAypUrK3w9AMTExKBevXpeXyIiIiJSuYCHYrOzszFw4EB069YN3bt3x8yZM1FYWIhBgwYBAAYMGICmTZti6tSpAIDHHnsM1113HaZNm4Zbb70Vubm52LRpE+bOnRvcSERERETCXMCJ3d13340jR45gwoQJyMvLQ+fOnbFixQrzAYn9+/cjIsLdEXj11VfjzTffxLhx4/DUU0+hbdu2WLZsGTp06BC8KEREREQEDsOw/5SBBQUFSEhIwLFjxzQsKyIiImElkDwo9CfGEREREREASuxEREREaCixExERESGhxE5ERESEhBI7ERERERJK7ERERERIKLETERERIaHETkRERISEEjsREREREkrsREREREgosRMREREhEWl1AarCtZxtQUGBxSURERERqV2u/MeVD1UmJBK748ePAwDS0tIsLomIiIiINY4fP46EhIRKX+MwqpL+WaysrAw//vgj4uPj4XA4auxzCgoKkJaWhgMHDqBevXo19jlSfaqj0KB6sj/Vkf2pjuyvturIMAwcP34cqampiIio/C66kOixi4iIQLNmzWrt8+rVq6eDyOZUR6FB9WR/qiP7Ux3ZX23U0fl66lz08ISIiIgICSV2IiIiIiSU2HmIiYnBxIkTERMTY3VRpAKqo9CgerI/1ZH9qY7sz451FBIPT4iIiIjI+anHTkRERISEEjsREREREkrsREREREgosRMREREhocTOw6xZs5Ceno7Y2Fj06NEDGzZssLpIcs7UqVNx5ZVXIj4+HklJSejXrx927txpdbGkEs899xwcDgdGjBhhdVHEw8GDB3HfffehUaNGiIuLQ8eOHbFp0yariyUeSktLMX78eLRs2RJxcXFo3bo1nnnmmSqtEyo149NPP0Xfvn2RmpoKh8OBZcuWef3cMAxMmDABTZo0QVxcHDIyMvD9999bUlYlducsWbIE2dnZmDhxIrZs2YJOnTohMzMThw8ftrpoAuCTTz7B8OHD8cUXX2DlypUoKSlBnz59UFhYaHXRxI+NGzfi9ddfx+WXX251UcTDL7/8gl69eiEqKgr/+te/8O2332LatGlo0KCB1UUTD88//zxmz56NV199Fdu3b8fzzz+PF154Aa+88orVRQtbhYWF6NSpE2bNmuX35y+88AJefvllzJkzB19++SXq1q2LzMxMnD59upZLqulOTD169MCVV16JV199FcDZ9WnT0tLw6KOPYvTo0RaXTso7cuQIkpKS8Mknn+Daa6+1ujji4cSJE7jiiivw2muv4dlnn0Xnzp0xc+ZMq4slAEaPHo3PP/8ca9eutbooUonbbrsNycnJmD9/vrntzjvvRFxcHP7+979bWDIBAIfDgaVLl6Jfv34AzvbWpaam4vHHH8cTTzwBADh27BiSk5OxaNEi3HPPPbVaPvXYASguLsbmzZuRkZFhbouIiEBGRgbWr19vYcmkIseOHQMANGzY0OKSSHnDhw/Hrbfe6nU8iT2899576NatG/7whz8gKSkJXbp0wbx586wulpRz9dVXY9WqVfjuu+8AAP/5z3/w2Wef4eabb7a4ZOLPnj17kJeX59XmJSQkoEePHpbkEJG1/ok2dPToUZSWliI5Odlre3JyMnbs2GFRqaQiZWVlGDFiBHr16oUOHTpYXRzxkJubiy1btmDjxo1WF0X82L17N2bPno3s7Gw89dRT2LhxI/7nf/4H0dHRGDhwoNXFk3NGjx6NgoICXHrppXA6nSgtLcXkyZPRv39/q4smfuTl5QGA3xzC9bPapMROQs7w4cPx9ddf47PPPrO6KOLhwIEDeOyxx7By5UrExsZaXRzxo6ysDN26dcOUKVMAAF26dMHXX3+NOXPmKLGzkbfffhtvvPEG3nzzTbRv3x7btm3DiBEjkJqaqnqS89JQLIDExEQ4nU7k5+d7bc/Pz0dKSopFpRJ/srKy8P7772P16tVo1qyZ1cURD5s3b8bhw4dxxRVXIDIyEpGRkfjkk0/w8ssvIzIyEqWlpVYXMew1adIEl112mde2du3aYf/+/RaVSPwZNWoURo8ejXvuuQcdO3bE/fffj5EjR2Lq1KlWF038cOUJdskhlNgBiI6ORteuXbFq1SpzW1lZGVatWoWePXtaWDJxMQwDWVlZWLp0KT7++GO0bNnS6iJJOTfccAO++uorbNu2zfzq1q0b+vfvj23btsHpdFpdxLDXq1cvn2mCvvvuO7Ro0cKiEok/J0+eRESE9+nZ6XSirKzMohJJZVq2bImUlBSvHKKgoABffvmlJTmEhmLPyc7OxsCBA9GtWzd0794dM2fORGFhIQYNGmR10QRnh1/ffPNN/L//9/8QHx9v3reQkJCAuLg4i0snABAfH+9zz2PdunXRqFEj3QtpEyNHjsTVV1+NKVOm4I9//CM2bNiAuXPnYu7cuVYXTTz07dsXkydPRvPmzdG+fXts3boV06dPx4MPPmh10cLWiRMn8MMPP5jf79mzB9u2bUPDhg3RvHlzjBgxAs8++yzatm2Lli1bYvz48UhNTTWfnK1VhpheeeUVo3nz5kZ0dLTRvXt344svvrC6SHIOAL9fCxcutLpoUonrrrvOeOyxx6wuhnj45z//aXTo0MGIiYkxLr30UmPu3LlWF0nKKSgoMB577DGjefPmRmxsrNGqVStj7NixRlFRkdVFC1urV6/2ew4aOHCgYRiGUVZWZowfP95ITk42YmJijBtuuMHYuXOnJWXVPHYiIiIiJHSPnYiIiAgJJXYiIiIiJJTYiYiIiJBQYiciIiJCQomdiIiICAkldiIiIiIklNiJiIiIkFBiJyIiIkJCiZ2IiIgICSV2IiIiIiSU2ImIiIiQUGInIiIiQuL/A/OFxVwZ/IF2AAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A COMPLETER\n",
    "# Création des deux signaux\n",
    "\n",
    "T = 2\n",
    "Te = 0.01\n",
    "\n",
    "tA = np.arange(0,10,Te)\n",
    "tB = np.arange(0,2,Te)\n",
    "\n",
    "A = np.where(np.abs(tA%T)>T/2, 1, 0)\n",
    "B = np.where(tB<1, 1, 0)\n",
    "\n",
    "plt.figure()\n",
    "plt.plot(tA,A,label='signal A(t)')\n",
    "plt.plot(tB,B,label='signal B(t)')\n",
    "plt.legend()\n",
    "plt.title(\"Nos signaux du jour\")\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "26337721",
   "metadata": {},
   "source": [
    "Calculez la corrélation entre les deux signaux via la fonction *np.correlate* (avec l'option *'full'*), et affichez le résultat sans axe temporel (on va gérer ça ensuite)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "4a05a203",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A COMPLETER\n",
    "# Calcul de la corrélation entre A et B via la fonction correlate de NumPy\n",
    "A_B_correlate_numpy = np.correlate(A,B,'full')\n",
    "\n",
    "# Affichage du résultat\n",
    "plt.figure()\n",
    "plt.plot(A_B_correlate_numpy)\n",
    "plt.tight_layout()\n",
    "plt.title(\"Corrélation entre A et B\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c6f4d3e3",
   "metadata": {},
   "source": [
    "Bon, pour l'instant, le signal ne ressemble pas vraiment à grand chose pour plusieurs raisons :\n",
    "- l'axe temporel n'est pas correct (il n'y en a pas)\n",
    "- l'amplitude n'est pas très pertinente ici (on obtient des pics à 100 alors que les signaux originaux varient entre 0 et 1)\n",
    "\n",
    "On va donc corriger cela !"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b1629f7f",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "**Petit aparté sur les signaux numériques**\n",
    "\n",
    "Il faut bien faire la distinction ici entre un signal continu (ce que vous manipulez en TD), et un signal discrétisé. En numérique (donc sur ordi), les signaux sont obligatoirement discrétisés, c'est à dire:\n",
    "- Stockés via des tableaux\n",
    "- Echantillonnés avec un temps d'échantillonnage ($T_e$) ou une fréquence d'échantillonnage ($f_e$)\n",
    "- Inscrits dans un intervalle de temps\n",
    "\n",
    "De ce fait, lorsqu'on décrit un signal temporel numériquement, on a:\n",
    "- Un tableau représentant l'axe temporel, construit via l'intervalle de temps, et le temps/la fréquence d'échantillonnage\n",
    "- Un tableau représentant le signal associé à l'axe temporel\n",
    "\n",
    "Cela veut dire que savoir faire une corrélation, ce n'est pas juste appeler NumPy et afficher le résultat. Il faut 2-3 manipulations supplémentaires pour que le résultat obtenu ne soit pas juste un tableau NumPy, mais un signal temporel. Ici, il nous manque principalement l'axe temporel, qu'il va falloir retrouver.\n",
    "\n",
    "---"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "443fc2ed",
   "metadata": {},
   "source": [
    "Concentrons nous d'abord sur l'axe temporel. On considère que les signaux $A$ et $B$ sont respectivement de taille $N$ et $M$\n",
    "\n",
    "**_QUESTION :_** Quelle est la taille du signal corrélé en sortie ? A quoi cela correspond par rapport aux signaux $A$ et $B$ ?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7dd2a7d0",
   "metadata": {},
   "source": [
    "**_REPONSE :_** Pour $A$ de taille $N$ et $B$ de taille $M$, la taille du signal corrélé en sortie est $M+N-1$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "142cbf9a",
   "metadata": {},
   "source": [
    "**_QUESTION :_** Quel est le temps d'échantillonnage du signal corrélé par rapport au signaux $A$ et $B$ ?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8e7d93bd",
   "metadata": {},
   "source": [
    "**_REPONSE :_** Le temps d'échantillonnage en sortie est le même que ceux des signaux en entrée, à savoir $T_e = 0.01 s$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7c6fe771",
   "metadata": {},
   "source": [
    "On a donc déterminé le temps d'échantillonnage, mais il va falloir retrouver l'intervalle de temps. Et pour déterminer, il faut revoir la nature même de la corrélation. La formule nous donne un résultat lorsque **les deux signaux se recoupent temporellement**. Si on reprend la formule suivante dans notre contexte avec $A$ et $B$:\n",
    "\n",
    "\\begin{equation*}\n",
    "C[k] = \\sum_n A[n] \\cdot B^*[n - k] \\cdot T_e\n",
    "\\end{equation*}\n",
    "\n",
    "Dans cette formule, le signal $B$ est retardé de $k$ dans le calcul, contrairement au signal $A$. La somme sur $n$ se fait en réalité uniquement sur les zones où les deux signaux se recoupent temporellement.\n",
    "\n",
    "On sait que $A$ évolue de $0$ à $N-1$, et $B$ de $0$ à $M-1$. Si $B$ a un retard de $k$ cases, cela signifie qu'il évolue entre $k$ et $M+k-1$. "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "643335a4",
   "metadata": {},
   "source": [
    "**_QUESTION :_** Quel est le plus grand retard $k$ que $B$ peut prendre, tout en s'assurant que les signaux $A$ et $B$ se recoupent temporellement ? \n",
    "\n",
    "*Note : N'hésitez pas à faire un schéma, avec le tableau $A$ fixe, et le tableau $B$ qui subit un retard $k$, ou une avance $-k$*"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e0ecf986",
   "metadata": {},
   "source": [
    "**_REPONSE :_** Le plus grand retard que $k$ peut prendre est lorsque le signal $B$ commence à la fin du signal $A$ (avec une valeur de recoupement), donc lorsqu'il commence à $N-1$. Donc le max que peut prendre $k$ et $N-1$."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c145b1d9",
   "metadata": {},
   "source": [
    "**_QUESTION :_** Quelle est maintenant la plus grande avance (ou le plus petit retard) $k$ que $B$ peut prendre, toujours en s'assurant que les signaux $A$ et $B$ se recoupent temporellement ?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "18891785",
   "metadata": {},
   "source": [
    "**_REPONSE :_** La plus grande avance que $k$ peut prendre est lorsque le signal $B$ termine à 0 (le début de $A$), donc lorsqu'il commence à $-(M-1)$, donc $-M+1$."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7e8c36c1",
   "metadata": {},
   "source": [
    "Vous avez donc normalement l'intervalle temporel où évolue votre signal corrélé, enfin juste les indices. Pour avoir les vraies valeurs temporelles, il suffit de multiplier par le temps d'échantillonnage. Construisez l'axe temporel de votre signal corrélé"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "b8bc7d0a",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[-199 -198 -197 ...  997  998  999]\n",
      "[-1.99 -1.98 -1.97 ...  9.97  9.98  9.99]\n"
     ]
    }
   ],
   "source": [
    "# A COMPLETER\n",
    "# Construction de l'axe temporel du signal corrélé\n",
    "N = len(A)\n",
    "M = len(B)\n",
    "\n",
    "tmp = np.arange(-M+1, N)\n",
    "print(tmp)\n",
    "print(tmp * Te)\n",
    "t_A_B_correlate = np.arange(-M+1, N) * Te"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3801e02a",
   "metadata": {},
   "source": [
    "Affichez maintenant le signal obtenu après corrélation, avec l'axe temporel correct."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "fce3758a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A COMPLETER\n",
    "# Affichage du signal corrélé avec le bon axe temporel\n",
    "plt.figure()\n",
    "plt.plot(t_A_B_correlate, A_B_correlate_numpy*Te)\n",
    "plt.title('Corrélation entre A et B')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1060c452",
   "metadata": {},
   "source": [
    "Normalement, vous devriez voir le signal évoluer entre -2 et 10 secondes. Si c'est le cas, on a un bon axe temporel. Mais l'amplitude n'est toujours pas bon.\n",
    "\n",
    "Afin d'illustrer le problème d'amplitude, refaites les mêmes opérations que précédemment, mais avec un temps d'échantillonnage de 0.0001 secondes, et trouvez la différence obtenue.\n",
    "\n",
    "*Pas besoin de recopier le code, modifiez juste Te au début du notebook et relancez les cellules*"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5777b499",
   "metadata": {},
   "source": [
    "**_QUESTION :_** Que constatez-vous ? Comment $T_e$ influence sur le résultat de la corrélation ?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cce33478",
   "metadata": {},
   "source": [
    "**_REPONSE :_** Avec $R_e$ à 0.0001 secondes, on a un temps d'échantillonnage 10 fois plus petit, et par conséquent, l'amplitude maximum de la corrélation est 10 fois plus grande (1000 au lieu de 100 précédemment)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8663952f",
   "metadata": {},
   "source": [
    "En effet ici, le souci est lié avec le temps d'échantillonnage $T_e$, car le calcul réalisé par NumPy est une simple somme. Hors, on essaye de s'approcher de la formule originale qui est une intégrale. Il faut donc multiplier tout cela par le temps d'échantillonnage."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5519eba7",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "**RECAPITULATIF DE LA CORRELATION AVEC NUMPY**\n",
    "\n",
    "Normalement, vous avez ici **tout ce qu'il vous faut** pour effectuer une corrélation correcte entre deux signaux. A partir des signaux A et B (et leurs axes temporels), écrivez ci-dessous le code pour effectuer la corrélation avec NumPy (avec ce qu'on a vu précédemment pour corriger l'amplitude et l'axe temporel). Je vous invite ensuite à recopier le code de la cellule dans vos notes persos, afin de pouvoir faire une corrélation correcte à tout moment, en TDM ou en examen..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "9c6dd210",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# GOLDEN CELLULE A COMPLETER\n",
    "# CORRELATION ENTRE DEUX SIGNAUX (avec NumPy)\n",
    "\n",
    "# Paramètres (MODIFIEZ AVEC VOS NOMS DE VARIABLES)\n",
    "# A et B :  deux signaux temporels NumPy\n",
    "# tA et tB : deux axes temporels associés à A et B\n",
    "# Te : le temps d'échantillonnage\n",
    "\n",
    "N = len(A)\n",
    "M = len(B)\n",
    "\n",
    "t_A_B_correlate_numpy = np.arange(-M+1, N) * Te\n",
    "\n",
    "A_B_correlate_numpy = np.correlate(A,B,'full') * Te\n",
    "\n",
    "plt.figure()\n",
    "plt.plot(t_A_B_correlate_numpy, A_B_correlate_numpy)\n",
    "plt.title('Corrélation entre A et B')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "04a2147f",
   "metadata": {},
   "source": [
    "**_QUESTION :_** A quels instants la corrélation est maximum ? Qu'est-ce que cela signifie ?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7694d07d",
   "metadata": {},
   "source": [
    "**_REPONSE :_** On retrouve des pics aux alentours de tau égal à 1, 3, 5, 7 et 9 secondes. Cela signifie que dans le signal $A$ ressemble le plus à $B$ à ces moments précis. Cela est cohérent, puisque notre signal B est construit à partir de $A$ avec un décalage de 1 secondes sur une période T = 2 secondes."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6b7ee3b4",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "## Exercice 2 : Bon, on va pouvoir coder maintenant !\n",
    "\n",
    "Maintenant qu'on sait le faire avec NumPy, on va coder la fonction à la main, pas à pas.\n",
    "\n",
    "Tout d'abord, créez une fonction de padding. Le padding consiste à augmenter la taille d'un tableau/vecteur aux dimensions souhaitées en rajoutant une valeur constante plusieurs fois pour compléter. Ici, nous voulons simplement rallonger la taille d'un signal, donc ajouter des valeurs à la fin pour avoir la même longueur. \n",
    "\n",
    "Votre fonction prendra en entrée un signal de taille $N$, une taille $M$ (entier), et une valeur constante à insérer $cst\\_value$. Si $M$>$N$, alors la fonction renverra le signal avec des $cst\\_value$ ajoutés à la fin de ce dernier pour qu'il ait une taille $M$. Dans le cas inverse, la fonction renverra le signal original.\n",
    "\n",
    "*Note : il existe une fonction np.pad, mais je vous demande de ne pas l'utiliser car :*\n",
    "- *Elle n'est pas très pratique dans notre cas (plus complexe que nécessaire)*\n",
    "- *On va être embêté si on l'utilise pour la suite du TDM*"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "e7fe92f2",
   "metadata": {},
   "outputs": [],
   "source": [
    "# A COMPLETER\n",
    "# Développement de la fonction de padding\n",
    "def padding(signal,M, cst_value):\n",
    "    \"\"\"\n",
    "    Fonction de padding du signal pour l'agrandir à la taille M (si M supérieur à len(signal))\n",
    "    signal : tableau 1D Numpy, représentant un signal\n",
    "    M : entier, représentat la taille de padding attendue pour M\n",
    "    cst_value : une valeur constante à insérer pour pad le signal\n",
    "    \"\"\"\n",
    "    if M<=len(signal):\n",
    "        return signal\n",
    "    return np.concat([signal, np.full((M-len(signal)), cst_value)])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5d25c1ae",
   "metadata": {},
   "source": [
    "Afin de savoir si votre fonction est correcte, voici quelques tests unitaires. Si un test ne passe pas, ça ne sert à rien d'aller à la suite du TP, validez d'abord votre fonction de padding !"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "3ba22685",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Padding de x avec M = 15, cst_value = 0 : OK\n",
      "Padding de x avec M = 15, cst_value = 1.5 : OK\n",
      "Padding de x avec M = 1 (aucun padding attendu) : OK\n",
      "Padding de x avec M = len(x) (aucun padding attendu) : OK\n"
     ]
    }
   ],
   "source": [
    "# Tests unitaires de la fonction de padding\n",
    "x = np.array([1,3,7,2,5,6,6,8,1])\n",
    "print(f\"Padding de x avec M = 15, cst_value = 0 : {'OK' if ((len(padding(x,15,0))==15) & (padding(x,15,0)==np.array([1,3,7,2,5,6,6,8,1,0,0,0,0,0,0]))).all() else 'KO'}\")\n",
    "print(f\"Padding de x avec M = 15, cst_value = 1.5 : {'OK' if ((len(padding(x,15,1.5))==15) & (padding(x,15,1.5)==np.array([1,3,7,2,5,6,6,8,1,1.5,1.5,1.5,1.5,1.5,1.5]))).all() else 'KO'}\")\n",
    "print(f\"Padding de x avec M = 1 (aucun padding attendu) : {'OK' if ((len(padding(x,1,0))==len(x)) & (padding(x,1,0)==x).all()) else 'KO'}\")\n",
    "print(f\"Padding de x avec M = len(x) (aucun padding attendu) : {'OK' if ((len(padding(x,len(x),0))==len(x)) & (padding(x,len(x),0)==x).all()) else 'KO'}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "63cf9a13",
   "metadata": {},
   "source": [
    "Développez maintenant une fonction qui effectue un décalage temporel de $k$ sur un tableau NumPy uni-dimensionnel. La fonction retournera un tableau NumPy de même taille, avec les valeurs du tableau d'origine décalées de $k$ cases, et le reste des valeurs du tableau remplacées par une valeur constante $cst\\_value$, comme précédemment.\n",
    "\n",
    "*Exemple : Soit le signal $x$ :*\n",
    "\n",
    "\\begin{equation*}\n",
    "x = \\begin{bmatrix}1 & 3 & 7 & 2 & 5 & 6 & 6 & 8 & 1 \\end{bmatrix}\n",
    "\\end{equation*}\n",
    "\n",
    "*Un décalage de $x$ avec $k = 2$ et $cst\\_value = 0$ donnera le signal $x'$ suivant :*\n",
    "\n",
    "\\begin{equation*}\n",
    "x' = \\begin{bmatrix}0 & 0 & 1 & 3 & 7 & 2 & 5 & 6 & 6 \\end{bmatrix}\n",
    "\\end{equation*}\n",
    "\n",
    "*Un décalage de $x$ avec $k$ = -5 et $cst\\_value = -1$ donnera le signal $x''$ suivant :*\n",
    "\n",
    "\\begin{equation*}\n",
    "x'' = \\begin{bmatrix}6 & 6 & 8 & 1 & -1 & -1 & -1 & -1 & -1 \\end{bmatrix}\n",
    "\\end{equation*}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "95135697",
   "metadata": {},
   "outputs": [],
   "source": [
    "# A COMPLETER\n",
    "# Développement d'une fonction qui décale un signal d'un pas de décalage k.\n",
    "def shift(x, k, cst_value):\n",
    "    \"\"\"\n",
    "    Effectue un décalage de k sur le signal x\n",
    "    x : tableau 1D NumPy, représentant un signal\n",
    "    k : entier, représentant le pas de décalage à effectuer\n",
    "    cst_value : la valeur constante à insérer là où le signal n'existe pas\n",
    "    \"\"\"\n",
    "    # Récupération taille de x\n",
    "    len_x = len(x)\n",
    "\n",
    "    # Création du tableau 1D y, de taille len(x) + abs(k), remplis de cst_value\n",
    "    y = np.full((len_x+abs(k)), cst_value)\n",
    "\n",
    "    # Deux cas : k positif ou k négatif\n",
    "    if k>0:\n",
    "        # k positif : on insère les valeurs de x à la fin de y\n",
    "        y[-len_x:] = x\n",
    "        # On retourne les len_x premières valeurs de y\n",
    "        return y[:len_x]\n",
    "    else:\n",
    "        # k négatif : on insères les valeurs de x au début de y\n",
    "        y[:len_x] = x\n",
    "        # On retourne les len_x dernières valeurs de y\n",
    "        return y[-len_x:]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f536fdf8",
   "metadata": {},
   "source": [
    "Afin de savoir si votre fonction est correcte, voici quelques tests unitaires. Si un test ne passe pas, ça ne sert à rien d'aller à la suite du TP, validez d'abord votre fonction de décalage !"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "f5887c05",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Décalage de x avec S = 2, cst_value = 0 : OK\n",
      "Décalage de x avec S = -5, cst_value = -2 : OK\n",
      "Décalage de x avec S = 0 : OK\n",
      "Décalage de x avec S = 20, cst_value = 1.5 : OK\n"
     ]
    }
   ],
   "source": [
    "# Tests unitaires de la fonction de décalage\n",
    "x = np.array([1,3,7,2,5,6,6,8,1])\n",
    "print(f\"Décalage de x avec S = 2, cst_value = 0 : {'OK' if (shift(x,2,0)==np.array([0,0,1,3,7,2,5,6,6])).all() else 'KO'}\")\n",
    "print(f\"Décalage de x avec S = -5, cst_value = -2 : {'OK' if (shift(x,-5,-2)==np.array([6,6,8,1,-2,-2,-2,-2,-2])).all() else 'KO'}\")\n",
    "print(f\"Décalage de x avec S = 0 : {'OK' if (shift(x,0,0)==x).all() else 'KO'}\")\n",
    "print(f\"Décalage de x avec S = 20, cst_value = 1.5 : {'OK' if (shift(x,20,1.5)==np.full((len(x)),1.5)).all() else 'KO'}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f8f8e339",
   "metadata": {},
   "source": [
    "Développez maintenant une fonction qui calcule le score d'intercorrélation entre deux signaux $f$ et $g$ avec un retard $k$ fixé (entier). Ici, $k$ désigne le décalage de cases du tableau à réaliser pour le signal $g$.\n",
    "\n",
    "Pour cela, il faudra, dans l'ordre :\n",
    "- Récupérer les tailles des deux signaux $f$ et $g$\n",
    "- Effectuer un padding sur les deux signaux pour qu'ils soient de même taille, en remplissant avec des 0\n",
    "- Décaler le signal $g$ de $k$ cases (toujours en ajoutant des 0)\n",
    "- Calculer le score d'intercorrélation entre les deux signaux, en suivant la fonction écrite préalablement\n",
    "\n",
    "A vous de jouer !"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "1002a51e",
   "metadata": {},
   "outputs": [],
   "source": [
    "# A COMPLETER\n",
    "# Développement de la fonction de calcul du score d'intercorrélation entre deux signaux à un décalage k fixé\n",
    "def correlation_at_k(f, g, k, Te):\n",
    "    \"\"\"\n",
    "    Calcule le score d'intercorrélation entre le signal f et le signal g retardé de k\n",
    "    f, g : tableaux NumPy 1D, signaux à corréler\n",
    "    k : entier, retard du signal g\n",
    "    Te : le temps d'échantillonage (en secondes)\n",
    "    \"\"\"\n",
    "    \n",
    "    # Padding des signaux pour qu'ils soient à la même taille\n",
    "    N, M = len(f), len(g)\n",
    "    f = padding(f,M,0)\n",
    "    g = padding(g,N,0)\n",
    "    \n",
    "    # Décalage de g de k cases\n",
    "    g_shift = shift(g,k,0)\n",
    "    \n",
    "    return np.dot(f,np.conjugate(g_shift)) * Te"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "92472cbd",
   "metadata": {},
   "source": [
    "On va maintenant pouvoir développer la fonction principale de corrélation. Cette fonction prendra en entrée deux signaux $f$ et $g$, ainsi que le pas d'échantillonage des deux signaux $T_e$. \n",
    "\n",
    "Nous avons utilisé depuis le début de l'exercice la variable $k$ pour représenter le décalage à effectuer sur le tableau (valeur entière). Cependant, $k$ n'a pas de valeur physique. De ce fait, en le multipliant par le pas d'échantillonage $T_e$, vous obtenez la valeur $\\tau$ qui est le retard dans la formule de corrélation.\n",
    "\n",
    "\\begin{equation*}\n",
    "    \\tau = k \\times T_e\n",
    "\\end{equation*}"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cd351a38",
   "metadata": {},
   "source": [
    "Développez maintenant la fonction de correlation, prenant en entrée les signaux $f$ et $g$ et le pas d'échantillonage $T_e$. La fonction renverra :\n",
    "- L'axe temporel de la corrélation des deux signaux, à savoir les retards $\\tau$ possibles où $f$ et $g$ retardés se recoupent\n",
    "- Le score d'intercorrélation entre $f$ et $g$ pour chaque retard $\\tau$ (sous forme de tableau NumPy 1D de même taille)\n",
    "\n",
    "*Rappel : Pour l'axe temporel, on a déjà effectué le calcul dans l'exercice 1*"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "7cbccba2",
   "metadata": {},
   "outputs": [],
   "source": [
    "# A COMPLETER\n",
    "# Fonction de corrélation entre les signaux f et g avec un pas d'échantillonage de Te\n",
    "def correlation(f,g,Te):\n",
    "    \"\"\"\n",
    "    Calcule la corrélation entre le signal f et le signal g\n",
    "    f, g : tableaux NumPy 1D, signaux à corréler\n",
    "    Te : le temps d'échantillonage (en secondes)\n",
    "    \"\"\"\n",
    "\n",
    "    # Création du vecteur des différents décalages possibles où f et g ont un recouvrement\n",
    "    N, M = len(f), len(g)\n",
    "    k_vals = np.arange(-M+1,N)\n",
    "    \n",
    "    # Calcul des retards tau possibles en fonction de k_vals et du pas d'échantillonage T_e\n",
    "    tau_vals = k_vals * Te\n",
    "       \n",
    "    # Calcul de la corrélation des deux signaux selon les décalages k possibles\n",
    "    fg_correlate = np.array([correlation_at_k(f,g,k,Te) for k in k_vals])\n",
    "        \n",
    "    return tau_vals, fg_correlate "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5b4a4a8f",
   "metadata": {},
   "source": [
    "Testez maintenant votre fonction de corrélation sur vos deux signaux $A$ et $B$, et tracez le résultat obtenu en fonction des valeurs de $\\tau$ possibles."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "edc4da4b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A COMPLETER\n",
    "# Calcul de la corrélation entre A et B\n",
    "t_A_B_correlate, A_B_correlate = correlation(A,B,Te)\n",
    "\n",
    "plt.figure()\n",
    "plt.plot(t_A_B_correlate, A_B_correlate)\n",
    "plt.title('Corrélation entre A et B')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "64e73385",
   "metadata": {},
   "source": [
    "Vous pouvez maintenant comparer votre résultat de corrélation avec celui effectué par la fonction correlate de NumPy. Affichez les deux signaux calculés, et vérifiez que vous obtenez exactement le même résultat"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "b942f70d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A COMPLETER\n",
    "# Affichage des deux résultats de la corrélation\n",
    "\n",
    "# Ici, on réutilise tau_vals, car la fonction de NumPy n'a pas l'information du taux d'échantillonage\n",
    "plt.figure()\n",
    "plt.plot(t_A_B_correlate,A_B_correlate,label='Notre corrélation')\n",
    "plt.plot(t_A_B_correlate_numpy,A_B_correlate_numpy, label='Corrélation NumPy')\n",
    "plt.legend()\n",
    "plt.title('Corrélation entre A et B')\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e867ceff",
   "metadata": {},
   "source": [
    "Super, on a notre fonction de corrélation !\n",
    "\n",
    "...\n",
    "\n",
    "Cependant...\n",
    "\n",
    "Notre fonction n'est en réalité pas très robuste. En effet, en ajoutant une seule valeur abberante, on peut complètement la casser ! (emoji choqué)\n",
    "\n",
    "Reprenez votre signal $A$, et ajoutez une seule valeur aberrante (ex: à $t = 4.5$, $A(t)=100$). Recalculez la corrélation et affichez le résultat."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "90694121",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A COMPLETER\n",
    "# Ajout d'une valeur aberrante à A(t)\n",
    "A_bruite = A.copy()\n",
    "A_bruite[tA==4.5]=100\n",
    "\n",
    "# Calcul de la corrélation entre A et B avec la valeur aberrante\n",
    "t_A_B_correlate, A_B_correlate_bruite = correlation(A_bruite, B, Te)\n",
    "\n",
    "plt.figure()\n",
    "plt.plot(t_A_B_correlate, A_B_correlate_bruite)\n",
    "plt.title('Corrélation entre A et B qui est toute cassée :(')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "64e575c8",
   "metadata": {},
   "source": [
    "Si vous avez bien codé, vous devriez avoir une courbe de corrélation toute chamboulée par ce désagrément. Cela est du au fait que notre fonction de corrélation est ultra dépendante de l'amplitude. De ce fait, une amplitude grande donne de meilleurs scores sur le calcul de corrélation. Le soucis ici est qu'on cherche avant tout à détecter un motif, indépendamment de l'amplitude. Pour cela, nous allons modifier notre fonction afin d'éviter ce problème."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8295b194",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "## Exercice 3 : ZNCC is the new correlation\n",
    "\n",
    "Dans ce nouvel exercice, nous allons reprendre la fonction de corrélation pour faire une corrélation normalisée, appelée ZNCC (Zero-Mean Normalized Cross Correlation). La formule est quasi la même que celle que nous avons vu précédemment, à quelques détails prêts:\n",
    "\n",
    "\\begin{equation*}\n",
    "ZNCC_{fg}(\\tau) =\\;\n",
    "\\frac{\\displaystyle \\sum_n \\bigl(f(n) - \\bar{f}\\bigr)\\,\\bigl(g^{*}(n - \\tau) - \\bar{g}^{*}\\bigr)}\n",
    "     {\\sqrt{\\displaystyle \\sum_n \\bigl(f(n) - \\bar{f}\\bigr)^2}\\;\n",
    "      \\sqrt{\\displaystyle \\sum_n \\bigl(g^{*}(n - \\tau) - \\bar{g}^{*}\\bigr)^2}}\n",
    "\\end{equation*}"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4331834a",
   "metadata": {},
   "source": [
    "Typiquement, ça reprend la formule de corrélation utilisée préalablement, avec les signaux $f$ et $g$ normalisés, c-à-d en soustrayant leur moyenne $\\bar{f}$ et $\\bar{g}^{*}$, puis en divisant le score de corrélation par la multiplication de leur norme L2. On remarque cependant que contrairement à la formule de la corrélation originale, ZNCC est indépendante du temps d'échantillonage $T_e$.\n",
    "\n",
    "La difficulté ici est que le calcul des moyennes et des normes ne se font pas sur les signaux entiers, mais là où $f$ et $g$ se recoupent (leur intersection)."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8e68f23d",
   "metadata": {},
   "source": [
    "*\"Mais comment on va faire ?! On va devoir tout recommencer !!\"*\n",
    "\n",
    "Non, rassure-toi, on va pouvoir reprendre nos précédentes fonctions et on va faire les quelques modifications pour obtenir la ZNCC.\n",
    "\n",
    "Pour calculer l'intersection entre deux signaux, c'est difficile à faire avec nos paddings et décalages précédents. En effet, nous avons déterminé qu'on allait remplir tout ça par des 0, hors un 0 ne signifie pas qu'un signal n'existe pas à l'instant t, mais qu'il est nul. Du coup, il va falloir modifier cette constante afin de signifier que le signal n'existe pas à l'endroit où on calcule. On va utiliser donc une valeur spéciale de NumPy : *np.nan* (pour \"Not a Number\").\n",
    "\n",
    "Grâce à cette valeur spéciale (et la fonction *np.isnan()*, créeant un masque indiquant si chaque valeur sont des *np.nan* ou non), on va pouvoir déterminer facilement l'intersection entre les deux signaux, à savoir les indices temporels où les deux signaux ont des valeurs réelles (c'est-à-dire pas des *np.nan*)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "95a55247",
   "metadata": {},
   "source": [
    "Reprenez la fonction de calcul de score d'intercorrélation entre deux signaux à un retard $k$ (entier) fixé et modifiez-la pour en calculer le score de ZNCC. Pour cela, il faut, dans l'ordre :\n",
    "\n",
    "- Récupérer les tailles des deux signaux $f$ et $g$\n",
    "- Effectuer un padding sur les deux signaux pour qu'ils soient de même taille (avec comme constante *np.nan*)\n",
    "- Décaler le signal $g$ de $k$ cases (avec comme constante *np.nan*)\n",
    "- Coupez les signaux $f$ et $g^{*}$ à l'endroit de leur intersection\n",
    "- Si la taille de l'intersection est trop petite (inférieure au quart du plus petit signal), renvoyer 0\n",
    "- Calculer et retirer la moyenne des signaux $f$ et $g^{*}$\n",
    "- Calculer le score d'intercorrélation entre les deux signaux, en suivant la fonction écrite préalablement\n",
    "- Diviser ce score par la norme de $f$ et $g^{*}$\n",
    "\n",
    "*Note : La norme de $f$ et de $g$ pouvant être nulles, dans le cas où l'une ou l'autre vaut zéro, il faut lui rajouter $\\epsilon = 1e-12$ pour éviter une division par zéro* "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "c719b657",
   "metadata": {},
   "outputs": [],
   "source": [
    "# A COMPLETER\n",
    "# Développement de la fonction de calcul du score d'intercorrélation entre deux signaux à décalage k fixé\n",
    "def ZNCC_at_k(f,g,k):\n",
    "    \"\"\"\n",
    "    Calcule le score de ZNCC entre le signal f et le signal g retardé de k\n",
    "    f, g : tableaux NumPy 1D, signaux à corréler\n",
    "    k : entier, retard du signal f\n",
    "    \"\"\"\n",
    "    \n",
    "    # Padding des signaux pour qu'ils soient à la même taille\n",
    "    N, M = len(f), len(g)\n",
    "    f = padding(f,M,np.nan)\n",
    "    g = padding(g,N,np.nan)\n",
    "    \n",
    "    # Décalage de g de k cases\n",
    "    g_shift = shift(g,k,np.nan)\n",
    "    \n",
    "    # On calcule la corrélation uniquement sur l'intersection entre les deux signaux dans le temps\n",
    "    indices_intersection = np.logical_and(np.logical_not(np.isnan(f)), np.logical_not(np.isnan(g_shift)))\n",
    "    f = f[indices_intersection]\n",
    "    g_shift = g_shift[indices_intersection]\n",
    "    \n",
    "    # On renvoit 0 si la taille de l'intersection est inférieur\n",
    "    if (len(f)<min(N,M)/4):\n",
    "        return 0\n",
    "\n",
    "    # On retire la moyenne aux deux signaux\n",
    "    f = f - np.mean(f)\n",
    "    g_shift = g_shift - np.mean(g_shift) \n",
    "    \n",
    "    # On calcule le score de corrélation et on divise par les normes de g et f\n",
    "    # Afin d'éviter que les normes de g et f soient à zéro et donc que le dénominateur soit nul, on place chaque norme au minimum à epsilon = 1e-12\n",
    "    return np.dot(f,g_shift) / (max(np.linalg.norm(g_shift),1e-12) * max(np.linalg.norm(f),1e-12))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b48db955",
   "metadata": {},
   "source": [
    "Reprenez votre fonction de calcul de corrélation qui prend en entrée $f$, $g$ et $T_e$. Modifiez-la pour qu'elle renvoit les valeurs de retards calculés en secondes et le score de ZNCC.\n",
    "\n",
    "*Note : Il n'y a quasimment rien à changer, il faut juste changer le nom de la fonction et l'appel à une fonction...*"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "bb846a21",
   "metadata": {},
   "outputs": [],
   "source": [
    "# A COMPLETER\n",
    "# Fonction de ZNCC entre les signaux f et g avec un pas d'échantillonage de Te\n",
    "def ZNCC(f,g,Te):\n",
    "    \"\"\"\n",
    "    Calcule la ZNCC entre le signal f et le signal g\n",
    "    f, g : tableaux NumPy 1D, signaux à corréler\n",
    "    Te : le temps d'échantillonage (en secondes)\n",
    "    \"\"\"\n",
    "    # Création du vecteur des différents décalages possibles où f et g ont un recouvrement\n",
    "    N, M = len(f), len(g)\n",
    "    k_vals = np.arange(-M+1,N)\n",
    "    \n",
    "    # Calcul des retards tau possibles en fonction de k_vals et du pas d'échantillonage T_e\n",
    "    tau_vals = k_vals * Te\n",
    "       \n",
    "    # Calcul de la corrélation des deux signaux selon les décalages k possibles\n",
    "    fg_ZNCC = np.array([ZNCC_at_k(f,g,k) for k in k_vals])\n",
    "        \n",
    "    return tau_vals, fg_ZNCC"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "52967dd4",
   "metadata": {},
   "source": [
    "Reprenez les signaux $A$ et $B$, calculez le score de ZNCC entre ces signaux et affichez le résultat."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "25adb627",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A COMPLETER\n",
    "# Calcul de la ZNCC entre A et B\n",
    "t_A_B_ZNCC, A_B_ZNCC = ZNCC(A,B,Te)\n",
    "\n",
    "plt.figure()\n",
    "plt.plot(t_A_B_ZNCC,A_B_ZNCC)\n",
    "plt.title(\"ZNCC entre A et B\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3d9e3e64",
   "metadata": {},
   "source": [
    "**_QUESTION :_** \n",
    "- Dans quel intervalle est inclut le score de ZNCC ?\n",
    "- A quels instants ZNCC est maximum ? \n",
    "- A quels instants ZNCC est minimum ? \n",
    "- Qu'est-ce que cela signifie ?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f0768279",
   "metadata": {},
   "source": [
    "**_REPONSE :_** Le score de ZNCC est en réalité un coefficient inclut dans l'intervalle $[-1,1]$:\n",
    "- Lorsque le score est à 1 (ici, à 1, 3, 5 et 7 secondes), les deux signaux sont identiques à une mise à l’échelle près.\n",
    "- Lorsque le score est à 0, il n'y a aucune corrélation entre les deux signaux\n",
    "- Lorsque le score est à -1 (ici, à 0, 2, 4, 6 et 8 secondes), les deux signaux correspondent parfaitement, mais inversés."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fd7b3c43",
   "metadata": {},
   "source": [
    "Reprenez maintenant le signal bruité $A$, comme fait précédemment, calculez le ZNCC entre $A$ et $B$ bruité, et affichez le résultat."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "60a77746",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A compléter\n",
    "# Calcul de ZNCC entre A et B avec la valeur aberrante\n",
    "t_A_B_ZNCC, A_B_ZNCC_bruite = ZNCC(A_bruite,B,Te)\n",
    "\n",
    "plt.figure()\n",
    "plt.plot(t_A_B_ZNCC,A_B_ZNCC_bruite)\n",
    "plt.title(\"ZNCC entre A bruité et B\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "11a4a206",
   "metadata": {},
   "source": [
    "**_QUESTION :_** Que remarquez-vous ?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d342fd26",
   "metadata": {},
   "source": [
    "**_REPONSE :_** La valeur aberrante ici ne perturbe pas le calcul de ZNCC, même si elle casse une possible corrélation pour $\\tau$ à 3 secondes."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "668d5a74",
   "metadata": {},
   "source": [
    "En conclusion, ZNCC est plus robuste car insensible à l'amplitude du signal. Avec ZNCC, on cherche avant tout un motif, qu'il soit fort, faible, ou même inversé. Malheureusement, ZNCC n'est pas disponible dans une librairie Python (je suis surpris comme vous), du moins pas sous la forme qu'on souhaite pour le traitement du signal."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "da577114",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "## Exercice 4 : Où est caché DJ Khaled ?\n",
    "\n",
    "Grâce à votre superbe fonction ZNCC, vous pouvez trouver n'importe quel pattern dans un signal. Dans la série des patterns reconnaissables, on peut citer les tags audios des producteurs de musique, qui est l'équivalent d'une signature généralement au début du morceau. Parmi les tags audios célèbres, DJ Khaled en a plusieurs, dont son fameux \"Another One\".\n",
    "\n",
    "Dans cet exercice, l'objectif est simple: à partir du tag audio de DJ Khaled, à vous de retrouver dans la bibliothèque audio quel son a été produit par lui.\n",
    "\n",
    "*Note : En écoutant les WAV, vous pourrez remarquer que la qualité n'est pas terrible. C'est normal : la fréquence d'échantillonage a été fortement diminuée, afin de réduire drastiquement le temps de calcul...*"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "91527427",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "                <audio  controls=\"controls\" >\n",
       "                    <source 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\" type=\"audio/wav\" />\n",
       "                    Your browser does not support the audio element.\n",
       "                </audio>\n",
       "              "
      ],
      "text/plain": [
       "<IPython.lib.display.Audio object>"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Pour lire un audio WAV directement depuis un notebook\n",
    "\n",
    "import IPython\n",
    "\n",
    "IPython.display.Audio('audios/tag.wav')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1dce2332",
   "metadata": {},
   "source": [
    "Dans un premier temps, chargez le fichier audio tag.wav. Pour cela, vous avez la fonction *read* du module *wavfile* du package *scipy.io*."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "e341a3dc",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Fréquence d'échantillonage du tag audio : 8000 Hz\n"
     ]
    }
   ],
   "source": [
    "# A COMPLETER\n",
    "# Chargement de l'extrait audio\n",
    "from scipy.io import wavfile\n",
    "\n",
    "freq_tag, extrait_tag = wavfile.read(\"audios/tag.wav\")\n",
    "\n",
    "print(f\"Fréquence d'échantillonage du tag audio : {freq_tag} Hz\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "72f59166",
   "metadata": {},
   "source": [
    "**_QUESTION :_** Que renvoit la fonction *read* à la lecture du fichier WAV ?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0a191780",
   "metadata": {},
   "source": [
    "**_REPONSE :_** Le fichier renvoit la fréquence d'échantillonage du fichier audio, et le signal."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ad024fc4",
   "metadata": {},
   "source": [
    "Tracez le signal du tag audio, en reconstruisant l'axe temporel préalablement."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "7a7b1728",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A COMPLETER\n",
    "# Reconstruction de l'axe temporel\n",
    "t_extrait_tag = np.arange(0, len(extrait_tag)/freq_tag, 1/freq_tag)\n",
    "\n",
    "# Tracé du signal audio\n",
    "plt.figure()\n",
    "plt.plot(t_extrait_tag, extrait_tag)\n",
    "plt.title(\"Tag audio\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9b4c6557",
   "metadata": {},
   "source": [
    "Faites de même avec le fichier *music_1.wav*. Chargez-le, reconstruisez l'axe temporel de la musique et tracez le signal."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "809b05b6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A COMPLETER\n",
    "# Chargement de l'extrait audio music_1\n",
    "freq_musique, extrait_musique = wavfile.read(\"audios/music_1.wav\")\n",
    "\n",
    "# Reconstruction de l'axe temporel\n",
    "t_musique = np.arange(0,len(extrait_musique)/freq_musique, 1/freq_musique)\n",
    "\n",
    "# Affichage du signal\n",
    "plt.figure()\n",
    "plt.plot(t_musique,extrait_musique)\n",
    "plt.title(\"Extrait musique n°1\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7e35e736",
   "metadata": {},
   "source": [
    "Appliquez votre fameux algorithme ZNCC pour le tag audio et l'extrait musical, et affichez le résultat.\n",
    "\n",
    "*Note : le temps de calcul peut être long, vu la taille du signal... Et encore, ce n'est qu'un extrait de musique...*"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "61a796a6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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lypVT7Jv1WgFAWloabt26pfUc6/Na5KUTcm4qVKiAs2fPIjg4ONf7T05ORr9+/VC9enUEBgZizpw56NChAxo0aJCvGv/66y+kpqZi27ZtSi0i2S9ZaWKIc0KFB/u8kM42b96MBQsWoF27dir9B3SV1fdFXTP65MmTIYRA79698fz5c5XbT58+jV9++QUAEBAQgJYtW2LFihVqZ4NNS0vD559/rrWWLl26ICIiArt371a57dmzZ3j16pWOz+qNrEmu1H2oquPm5qZojXrw4IHK7Q8fPtTr8S0tLdGpUyds2rRJaU4cfe7PwcFBbf2WlpYq315/+uknlZaO0NBQREREKM2M+uTJE6xdu1an+gHVb8k5R34BmR/OCQkJ+O+//xTbHjx4gM2bNyvtlzX30Pz583O9z5xCQkJgY2OD+fPnK9W0cuVKJCQkaB2xpM9roe/fjS66dOmC+/fvY/ny5Sq3vXz5EsnJyYrfx44dizt37uCXX37BvHnz4O3tjb59+ypNn5+XGtW9ngkJCVi9enWuxxrinFDhwZYX0smDBw/Qv39/WFpaIjg4GL/99pva/SpUqKC2v0OWJk2aoEmTJvj3339VbgsMDMTChQsxdOhQVK1aVWmG3QMHDmDbtm2YMWOGYv9ff/0VLVq0QMeOHdG2bVsEBwfDwcEB165dw/r16/HgwQPMnTtXYy1ffPEFtm3bhvfffx8fffQRfH19kZycjHPnzmHjxo2Ijo7We/hk1iRXI0eORGhoKCwtLdGtWzetxyxcuBDvvvsuatWqhQEDBqB8+fKIi4tDREQE7t27h7Nnz+pVw6xZs7B//374+/tjwIABqF69Op48eYLIyEjs3bsXT548yfU57N27F/PmzYOnpyd8fHzg7++P999/H2vWrIGLiwuqV6+OiIgI7N27F8WLF1c6/ssvv8Rvv/2G9957DyNGjFAMlS5btiyePHmi9Ru1s7MzgoKCMGfOHKSnp6N06dL4559/cOvWLZV9u3XrhrFjx6JDhw4YOXIkXrx4gcWLF6Ny5cpKHWHr1q2L7t27Y9GiRUhISEBgYCDCw8N1agkqWbIkxo8fj6lTp6Jly5Zo164drly5gkWLFqFBgwYaJ27MoutrUaFCBbi6umLJkiVwcnKCg4MD/P39NfYj0UXv3r3xxx9/YPDgwdi/fz8aNWqEjIwMXL58GX/88Qd2794NPz8/7Nu3D4sWLcLkyZNRv359AJlD+ps2bYqJEydizpw5ivNoaWmJ2bNnIyEhAba2tmjevLnWvjEtWrSAjY0N2rZti0GDBuH58+dYvnw53Nzc1Ib17AxxTvSR9V5z4cIFAJnTCBw+fBgA8PXXXxulBtLCJGOcSHI0TRqV8yf7EFtkGyqt6b6yT1KX5fTp06JHjx7C09NTWFtbi6JFi4rg4GDxyy+/KA1XFSJzGObcuXNFgwYNhKOjo7CxsRGVKlUSI0aMENevX8/1eSUlJYnx48eLihUrChsbG1GiRAkRGBgo5s6dK9LS0oQQyhPM5YQcQ21fvXolRowYIUqWLClkMpnaSerUuXHjhujTp4/w8PAQ1tbWonTp0uL9998XGzduzPU55KxBCCHi4uLEsGHDhJeXl7C2thYeHh4iODhYLFu2LNf7u3z5sggKChL29vZKr+nTp09Fv379FBO9hYaGisuXL4ty5cqpDK0+c+aMaNy4sbC1tRVlypQRYWFhYv78+QKAiI2N1fr49+7dEx06dBCurq7CxcVFfPjhhyImJkbt8/znn39EzZo1hY2NjahSpYr47bff1E5S9/LlSzFy5EhRvHhx4eDgoPckdQsWLBBVq1YV1tbWwt3dXQwZMkTnYfq6vhZbt24V1atXF1ZWVnmapE6dtLQ0MXv2bFGjRg1ha2srihYtKnx9fcXUqVNFQkKCSExMFOXKlRP169cX6enpSsd++umnwsLCQkRERCi2LV++XJQvX15YWlqqnaROnW3btonatWsLOzs74e3tLWbPnq12wsKcQ6X1PSdZr3vOyeZ0PVc5aXufI9OTCcFeTERkeKNHj8bSpUvx/PlzTsFPRPnCPi9EVOBevnyp9Pvjx4+xZs0avPvuuwwuRJRv7PNCRAUuICAATZs2RbVq1RAXF4eVK1ciMTFR41w2RET6YHghogLXunVrbNy4EcuWLYNMJkP9+vWxcuVKBAUFmbo0IioE2OeFiIiIJIV9XoiIiEhSGF6IiIhIUgpdnxe5XI6YmBg4OTlxemkiIiKJEEIgKSkJnp6eSqu4q1PowktMTEyu6+IQERGRebp79y7KlCmjdZ9CF16cnJwAZD55Ln9OREQkDYmJifDy8lJ8jmtT6MJL1qUiZ2dnhhciIiKJ0aXLBzvsEhERkaQwvBAREZGkMLwQERGRpDC8EBERkaQwvBAREZGkMLwQERGRpDC8EBERkaQwvBAREZGkMLwQERGRpDC8EBERkaQwvBAREZGkMLwQERGRpDC8kNFE3nmKXyOiIYQwdSlERCRhhW5VaTJfHRcdBQC4O9shtIaHiashIiKpYssLGd2Nh89NXQIREUkYwwsRERFJCsMLERERSQrDCxEREUkKwwsRERFJCsMLERERSQrDCxEREUkKwwsRERFJCsMLERERSQrDCxEREUkKwwsRERFJCsMLERERSQrDCxEREUkKwwsRERFJCsMLERERSQrDCxEREUkKwwsZnRCmroCIiKSM4YWIiIgkheGFiIiIJIXhhYiIiCSF4YWIiIgkheGFiIiIJIXhhYiIiCSF4YWIiIgkheGFiIiIJIXhhYiIiCSF4YWIiIgkheGFiIiIJIXhhYiIiCSF4YWIiIgkheGFiIiIJIXhhYiIiCSF4YWIiIgkheGFiIiIJIXhhYiIiCSF4YWIiIgkheGFjE4IYeoSiIhIwhheiIiISFIYXoiIiEhSGF6IiIhIUhheiIiISFIYXoiIiEhSGF6IiIhIUhheiIiISFIYXoiIiEhSGF6IiIhIUhheiIiISFIYXoiIiEhSGF6IiIhIUhheiIiISFIYXsjouKg0ERHlB8MLERERSQrDCxEREUmKUcLLwoUL4e3tDTs7O/j7++PEiRM6Hbd+/XrIZDK0b9/esAUSERGRZBg8vPz+++8YM2YMJk+ejMjISNSpUwehoaGIj4/Xelx0dDQ+//xzNG7c2NAlEhERkYQYPLzMmzcPAwYMQL9+/VC9enUsWbIERYoUwapVqzQek5GRgZ49e2Lq1KkoX768oUskIiIiCTFoeElLS8Pp06cREhLy5gEtLBASEoKIiAiNx02bNg1ubm7o379/ro+RmpqKxMREpR8iIiIqvAwaXh49eoSMjAy4u7srbXd3d0dsbKzaYw4fPoyVK1di+fLlOj1GWFgYXFxcFD9eXl75rpuIiIjMl1mNNkpKSkLv3r2xfPlylChRQqdjxo8fj4SEBMXP3bt3DVwlERERmZKVIe+8RIkSsLS0RFxcnNL2uLg4eHh4qOx/48YNREdHo23btoptcrk8s1ArK1y5cgUVKlRQOsbW1ha2trYGqJ6IiIjMkUFbXmxsbODr64vw8HDFNrlcjvDwcAQEBKjsX7VqVZw7dw5RUVGKn3bt2qFZs2aIioriJSEiIiIybMsLAIwZMwZ9+/aFn58fGjZsiB9++AHJycno168fAKBPnz4oXbo0wsLCYGdnh5o1ayod7+rqCgAq24mIiOjtZPDw0rVrVzx8+BCTJk1CbGws6tati127dik68d65cwcWFmbV9YaIiIjMmEyIwrVMXmJiIlxcXJCQkABnZ2dTl0PZeI/7GwDw2XuVMSK4komrISIic6LP5zebPIiIiEhSGF6IiIhIUhheiIiISFIYXsjoClUnKyIiMjqGFyIiIpIUhhciIiKSFIYXIiIikhSGFyIiIpIUhhciIiKSFIYXIiIikhSGFzK6wrUgBRERGRvDCxEREUkKwwsRERFJCsMLERERSQrDCxEREUkKwwsRERFJCsMLERERSQrDCxEREUkKwwsRERFJCsMLERERSQrDCxEREUkKwwsZnQDXByAiorxjeCEiIiJJYXghIiIiSWF4ISIiIklheCEiIiJJYXghIiIiSWF4ISIiIklheCEiIiJJYXghIiIiSWF4ISIiIklheCEiIiJJYXghIiIiSWF4ISIiIklheCEiIiJJYXghIiIiSWF4ISIiIklheCEiIiJJYXghoxPC1BUQEZGUMbwQERGRpDC8EBERkaQwvBAREZGkMLwQERGRpDC8EBERkaQwvBAREZGkMLwQERGRpDC8EBERkaQwvJDRcY46IiLKD4YXIiIikhSGFyIiIpIUhhciIiKSFIYXIiIikhSGFyIiIpIUhhciIiKSFIYXIiIikhSGFzI+wZleiIgo7xheiIiISFIYXoiIiEhSGF6IiIhIUhheiIiISFIYXoiIiEhSGF6IiIhIUhheiIiISFIYXoiIiEhSGF6IiIhIUhheiIiISFIYXoiIiEhSGF6IiIhIUhheiIiISFIYXoiIiEhSjBJeFi5cCG9vb9jZ2cHf3x8nTpzQuO/y5cvRuHFjFC1aFEWLFkVISIjW/YmIiOjtYvDw8vvvv2PMmDGYPHkyIiMjUadOHYSGhiI+Pl7t/gcOHED37t2xf/9+REREwMvLCy1atMD9+/cNXSoRERFJgMHDy7x58zBgwAD069cP1atXx5IlS1CkSBGsWrVK7f5r167F0KFDUbduXVStWhUrVqyAXC5HeHi4oUslIxGmLoCIiCTNoOElLS0Np0+fRkhIyJsHtLBASEgIIiIidLqPFy9eID09HcWKFVN7e2pqKhITE5V+iIiIqPAyaHh59OgRMjIy4O7urrTd3d0dsbGxOt3H2LFj4enpqRSAsgsLC4OLi4vix8vLK991ExERkfky69FGs2bNwvr167F582bY2dmp3Wf8+PFISEhQ/Ny9e9fIVRIREZExWRnyzkuUKAFLS0vExcUpbY+Li4OHh4fWY+fOnYtZs2Zh7969qF27tsb9bG1tYWtrWyD1EhERkfkzaMuLjY0NfH19lTrbZnW+DQgI0HjcnDlzMH36dOzatQt+fn6GLJGIiIgkxqAtLwAwZswY9O3bF35+fmjYsCF++OEHJCcno1+/fgCAPn36oHTp0ggLCwMAzJ49G5MmTcK6devg7e2t6Bvj6OgIR0dHQ5dLREREZs7g4aVr1654+PAhJk2ahNjYWNStWxe7du1SdOK9c+cOLCzeNAAtXrwYaWlp6Ny5s9L9TJ48GVOmTDF0uURERGTmDB5eAGD48OEYPny42tsOHDig9Ht0dLThCyIiIiLJMuvRRkREREQ5MbwQERGRpDC8EBERkaQwvJDRCS5uRERE+cDwQkRERJLC8EJERESSwvBCREREksLwQkRERJLC8EJGJ8Aeu0RElHcML0RERCQpDC9EREQkKQwvREREJCkML0RERCQpDC9EREQkKQwvREREJCkML2R05+4nmroEIiKSMIYXMrqDVx+augQiIpIwhhciIiKSFIYXMoq4xBRTl0BERIUEwwsZRXqG3NQlEBFRIcHwQkRERJLC8EJERESSwvBCRiGTyUxdAhERFRIML0RERCQpDC9EREQkKQwvREREpPAkOQ0p6RmmLkMrK1MXQG8H9nghIjJ/kXeeouOiowCA6FltTFyNZmx5ISIiIgBQBBdzx/BCREREksLwQkRERCouxiSaugSNGF7IKDjNCxGR+ZLLBYQQSttazz9kompyxw67ZBQPErgwIxGROXqVIUeDb/ZCLnLf11wwvJBRnI5+auoSiIhIjcuxSXj6It3UZeiFl42IiIjeYov/vWHqEvTG8EJERPQW+/u/B6YuQW+8bERGwQ67RETmRQiBEf87Y+oy8oQtL0SFyPX45/jnQqypyyDK1dW4JHyw4DD+vfrQ1KW8tc7fT8R2Cba6AAwvZCQyNr0YRci8fzFwzWkcu/nY1KUQaTVozWmcvZeAvqtO6LT/qsO38Nux2wau6u2SlmHe6xdpw/BCVAhdMOPJpYgA4OmLNJ33jU9KwbTtF/H1lvNIeyU3YFVvFyGhodE5MbyQUbDdhaRg+vaLaDP/kNmvqFsYPNNjaG5y6pvXQy7lT1wJOn37ialLUIvhhYyCV42Mi6c7b1YevoULMYmSHH1RmGWf+ZXvJfrZdPoeVh2+pfY2XWLggn3XC7agAsLwQlQIrT6q/s2KdJPBb/dmJfurwZdGP59tOItp2y/i7pMXeTr+lZlOu8vwQlQI3X3y0tQlEOXbPxdiseHUXbzIdtmIrWJ5k5TySmWbLkGwUcUSBqgm/zjPCxlceoYcyw/eNHUZRCQxA9ecBgD0DSin2HYnjy0Ib7vTd56ifEkH2FlbKrblXIhRHXdnW0OWlWdseSGDW3n4FmK4MKNJXHqQiKQUaa1ZYg5eZZhnU/nb6peIN0Ok+crkzcQt5zHg11N6H2eul+kYXsjgZu28bOoS3kpHbzxCqx8PIWTev6YuRXKWH2JLoSEtOyi9tXTM2asM9cPH03NsP3TtEQDgYVIqhBCSDoIML0SF1M5zmTPtxiWmmrgS6bn1KNnUJRRqM3fk/oUm5pn6fltrIqILuBpp++PkXVScsBP7LscptsnlAmuP30alCTtV9t9/JR4Nvtkr2WUBsjC8EBVS0v5eZXwZZjqq4m31Ik39XDtP9Zgf5m3w5ab/AACD10Qqtk3Ycg4TNp9Xu//i/ZmtXtv/e2C2l4R0wfBCBpHbLJhbo+4bqZK312/H7pi6BEmZtfOSqUuQtISXxgsVcgkFTV06xRaE7JP3/e/EXZ2O2Xk+95Fb5jqvDsMLFahHz1Px3T9XUPnrnVoXXBu1Psp4RRHlIuFFOpYf4tw4ebXrfCzqTP0HYTtyD4DqPszVzWic8FLz8gHnYxIglwucuPXErDuk7zz3AD7jd2DRAcNM9Jb9XOZlPpZfI3JfK8pcW2cYXqjAPE99Bb8Ze/HT6xkZP/vjrIkrIspdSnoG6kz7x9RlSNr07RcBAEt1mBIhQsdFQ7/Y+J/W29efvIsuSyPQeXEEgMzOqea2rMOQtZmXcubsugIgs2OtplbpyDtPsf6EEVpLzbQlRV+c54UKTLSaTo7n7yeYoJKCs/2/GDjbWSOocklTl0IGcl9Dx9Ds9l6MQ3qGHK1qlTJCRdLzJFn3RRYfPVfdVy4ExvweheqezvikcXkAwM2HmjtNyyDDljOZl56vxCVBCIHAWfuQ+DId/01pAVsrS43HmooQAk2+PYAXaa9wckIIrCyV2w46LjoKAPAqVsSgE8Opm6xOitjyQgVGtXlR4P2fDpuilAJx+NojDF93Bn1WnTB1KWQA07dfxO8nc/+mm5z6Cp/8egpD1kaqDeg5pb7KwK7zD5DwFnUsfalHi4e6y0bhl+Lx55n7mPH3JUzeej7XPi3j/vwPJ6LfLBgoF5nDf1NfyfM8Db6hpb6S4/6zl3j6Ih0PtMx7ddPAI90uPSgcK84zvFCeRd55isg7TwEAJ249wYy/Lyrdbq5rYugqLxM6mcrygzcxe5fm4adrjt1GfBInCsyy52IcVh6+hbGbzuW6b3Lqm2+qK7MtcHfpQSLG/BGl8mE5d/cVDP4tEr1WHi+4giXk5sPnarffePgcey/GqR3VlX3Y7i8RtxF+OV7rY1yIkfYHcOM5+3H0+qN834/E32LzheGF8iQlPQMdFx1Fx0VH8SLtFbosjcDxW8pLp+uz5L05Sn1lXtfPtflmxyUsPqB54q+JW86j4TfhRqzIvH32R5Ti/+881v5N/cfwa4r/X3PstqJFpdWPh/Bn5H2VkLv59eWMcxK/ZKqL+KQUeI/7W2nb5xvU93UL/u5ffPLrKXy/92qu93v69tN81RX9KBkh8/7FxtP38nU/BenRc+X5lnqseBNuY/M4A3nWpbMs3uP+VpmYrrBieDGAlPQMPEwq3BODZf82ujUqJk/3MfJ/Z8y6CfMt/lJT6CVmu+7f7+eTavfJunSx9rjypaXsYQYALscmKf2e/aqIsYbJmsrAX0+rbIu880zrMbosGrrk3/zMwCvDhC3ncD3+ucYgZQqzX3faVedg9pGZav5mhBA4ev0RHucIQFfjklT2VTcxXWHE8GIAVSfuQoNv9uL07Se571wIHL6Wt+bPbWdj0H7hEcXv4Zfi8PMR8xmuKpXPndzm1CFlun6rf6yhE2qimqG54/98MzIm+59Nbh/kUhd195lO+xn3vVDgear5tZr+dVbzl7yvt6qfUA7IDC47z8eix4rj8J2xF97j/sbq1++TB65ono6isGN4MaBOr4fwFXZ/n8v7EvWp2T54+/9yClP+uoj/7j0rgKreHubUNG5O1PWtEEKg0+KjOh2/60Ks2u3qQm32ScGyt7bo24R/7l4Cui87Vuj+DSw+YNi1onK2cJ3NEapuPUpG4zn78Nux2yr7n7uXgHXH75iklSyrdU/pC0i2WeFepL1C07kHMHRtpNJxU/+6iPF//ocralpe3hYML5QnhuwoFs+1eFTcfpyMNRHRavvhPEnW/Xz5Tt+j1+MKIXDv6QvJXP44dy8Bw9ZG4p8Lsajw1Q4s3K88OdikrRd0vzMNzzm3ZRfyM319p8VHEXHzsWLukiwv0l5hyrYLOK7jHCnmJjYx90tF+bFKqcVWeSKT6/FJaDb3AO4+eYmvt5zHhM3n4DN+h2JG4LYLDuOrzeew52IcjK38VztU+q1kSUxJx7C1kbitoU+WrrPo5pe5/tNneCG9pb2S4+stuY/S0Ef2b5p7Lxn/TcTcNfn2ACZuvYCJW87jj5N3lULMqiPROt/P4+Q0LNWxP0F8Ugp8xu/Au7P34/u913I/wAy0XXAYf597gIFrMvtifLv7TT+D6/FJWHMs9xlFs0zUEHT+jLyv0klVk+d6zqmR9rqlJi1Hi82Cfdfx89FodF12TP1xr+SIuvtMZYjxptP30GjWPo2LHObV3otx2P6f7n3dzt83bN82bQs9hsw7qPR7Vh+mOlOVJya8Fq9+lFSW6/HPVVp0CsLo36OUfr8Sm4iBv56C34y92P8WXxbKDcOLgUnlG6s+eq04jt0XCi5g3Hv6Au0WvOn7sv7km28UGXKBR89TsfnMPbObPdMU/jh1D19u+g8L911XXBbRZ4IwAAjbeRnn7yfg6I1HeKXlskarHw4p/n9+uHmGl9uPk+E3Y69SnxNNPvlF/6Hv+izWqO7f+icFNNw++vGbuT9+yvFayOUCbeYfQvuFRxSzW2f5bMNZ3H/2EoGz9hVIHUDmOfnk11MYvs48VyXuvES3y4IAlEKohUyGiVvOY8WhmxBCID4pBVuj7uPQtcwAETLvX3yw8IjKlAOJKenoueIYfj95B+P/PAfvcX/n67Lfb8fu4J+LcezLlgvOsGtgkXeewbdcUVOXUaCyTw5VEN6dvV9lmxACv0bcxuRtb779XoxJxIQ21RW/X3qQCDcnWxR3tC3QeoDMZeOzS059BQdb8/nnMn/fdSw/dAu7Rwfl6fisyQM7+5ZBA++i6Fi/DKxzzPipqcNqQRJCQKbjym9CCNx98hJexewhk8nw+Hkqmnx7AEBmE3rOUT85xeRhOKo+HyD7LscjuJq7yvbszzH1VQYeP0+Dp6u9XnXIsl0K+W7PVXzSuDzsbTJnkZ22/aKi1WDZwRsYFVJJ8ViGoMsXstRXGTh9+ykuxiSi/7s+BqlDk7xO0XD0xiMcej344MbDZPwv21T90bPaKP7/wbMUuDnZKX5ftP8Gjlx/jCPX31zSa7fgCBpVLJ6nOswNF2YsxI7dfAzvcX/jr7MxKqk8r0Omn71I0/itL+ebx4OEl1gTEa00fDnL8oM3Mf7Pc5JrAbocm6QUXAAotfZciU1Cqx8PwXfGXoM8fr/VysNnfz4ajfBLcVpfz/QMuaLZXi4XaveNTUjBrxHReK7mtdLk293qm8RfpmfoNGeGNhtP38PYTeew6rDyKC9jLHa3+sgt1Ju+R2m4/Ll7CRrPceclEQj6dj++3X0FW6Puq7z2ZzSM7Am/FIcXaa/yNP9F1iSMuli4/7raf7PVJu1S/H+rHw8hcNa+fC+bUW3SLqSkZyA9Q46fj0YrtienZSha4iZtUX/ZKzn1lcqcI9fiktS+f9x/9hK7zscqvX/oEjZP336KHsuPY8bfl7D3kvYJ58zFoWyjJv+XY42h7BMR7jwfiwX7ruHQtYcYvf6MxmHd2cOMlJnrR4f5fJWUsG6vr0NnnyUyy+DfTuPmzNawsNA9vl6PT0LIvIOoWdoZ20c0VrotQy7QcdERuDvbYVkfPwBAQFhmk/Cl2CTM7FBLaf9vXq/y2r6uJ/zL6/dNID4pBfefvkQVDycUsTHun8qC/dpXYQ394aDW2wta9r4T2b+FAZlvdMsP3cTNh8moV9YVm4c2Qs8VxxFx8zF++bghmmRbF6njoiOISUjBuXsJ+PbDOjo99sL9mvuobNbQ2U9fYTsvo5NvGWyLikH7eqVRX8eOvRlygX+vxqNOGVe1LWBxiSkYu+k/9A3wRrOqbortcrnA1L8yZ2T+est5bBoSiCbf7ld0Tsx5joE3Q5wXaZmMT53+ebhclKXnCt1nyY288wwVvtqhsj0lXY59l+NgaWGhWK/n/Z8O49TXISjhaAshBN77/iBK52iNefw8FdGPk+Fbrpjax6s6cZfa7Z/8chJ/Dm2E30+p79BZY/JuAMDOUY1RrZQzTtx6gi5LI+DhbIdjXwUr7dvo9eWmn7rXQ9s6nlqevbI52eY0kdJM1ZpkX2Q2f3PQSI+ZZheGF2M4Gf1EbXC4HJuI8X+ewxctqiAw20JcWR9W6jq5XYxJxNl7CQAyv6H+ku1b17rjd1TCS5auy44helYbjN34H34/dRcLe9RHm9qaF5m7GpeEFt+/CQj/TWkBZztro02+9/d/qsOvBQSSU1+pTDz1MCkVJZ3UXzoSQiAp9RUcbayUAqQQAu0XHsHNR8k4O6mFXuEyp/F/vum8fObOM6Xr6H1XnUDHeqUxr2tdAG8uXWw4fQ8d6pXGzvOx2HMxDpuGBqp8eBmb3+uWjGnbL+ayJ5DwMh0nbj3B7cfJmPH3JZRysUPEeOUPPiEE/Gdmzup74MpD3AprjQcJKfh6y3mczHbp8WJMIgb8ekppVMXFmERU93QGkPkhnr1PlBR9/LPqB3jW+Xa2s0Jiyitcz9FhtOHMcGTIBeZ3r6fXdASaWmxzdjJu9eMhRM9qgxWHMocxxyam4IOFR1CsiDV6+pdDSPU3l8C2/xejCC87z+dei67zv0hFQV8ql5IrseY5kSjDixF0XXYMW4Y1Ql0vV8U2uVyg5esOkT1WHMeRcc1RwtEGtlaWOHrjTfPl5dhEVPXIfBN/9iJNaRRCg280XzLJkAucyvEPrtPio4pvr8PWRaKhT4jSh/6cXZex6MANnJ3cAlujlL/Rbzh1D/3f9VEZBWFMd5+8VHxrzO7b3Zcxp7NqK8aei3GKb31BlUvi148bKm6LSUh5HQIzhytuGByABt7FcPjaI6w8rH1OituPk1GuuAOEEEqdizX588x9tKjhjpY1lcNi9unBG83ap9TakJ4hx6FrD/EyzXw67Y3/8xzCOmaG46A5+xVDTQHgQUIK5u25Cmc7K1TxcEJpV3uV+VR8xqu2SgCZl79yDlNtPf8QIsY3x2/HbmtteSoMEjWMSMoKISPVtOhqc/FBIq7k0v8ny6sMOf7Jdu6zRtPsv/IQrkWsFdt3X4hDyLx/sWlwoNl21CXDMNc16hhejKT9wiO4/k0rzN93HfPDr6l8y85qno2e1QYp6W8+sFr+kPnt6Mydp+iwKPde9OM2/YewjrVQZ+o/Kv0qcs4sejL6CVrXyvxAlcuFojk+5xBC4E0/G22jU0wl8aXy8zx28zG+3X1F6fkevPoQqa8yYGNpgZfpGZj+l3LrwodLInBsfLBOi+k1+fYADn3ZDJsi7+EHHYcQD/4tErfCWmvd5/C1R3i3UmYLnDlO8f2/E3dQtlgR/HbstlJwyVLQI5KyLoeSftIzhM6XVStq+TvL2fH1evxz1Jmm+t5AZAoML0Y0edsFxRwD9zXMu6Bu/oh3ZoYjNlG3kRLrT97VqTUAAF6kvRmNkJFLr6xjN5+g/7s+mB+uvS+KKey6EAu5XCgu/XTTMBdGla8z+wg0rVJS7bTa74TpvnBh4zmqI6RykzX3iCa9Vh7HoS+b6T302Zi0rVxNRGQsHG1kRDkXeNOVrsFFX59vOKuYLju3kRh7L8Vh5eFb2BRpnlPR69Mp0FTrgegyg+env0ehz6oTRqiGiEi62PLylvt6y3nUKu2CDxbm3iFyxt+XjFBR3oRfjof3uL9hb21p6lLy5ZSOiwYSEb3NjNLysnDhQnh7e8POzg7+/v44cUL7N8sNGzagatWqsLOzQ61atbBjh/qOflQwdAkuUvGSs/ASERV6Bg8vv//+O8aMGYPJkycjMjISderUQWhoKOLj1U9cdPToUXTv3h39+/fHmTNn0L59e7Rv3x7nz2teMpyIiIgKnrlOUicTBp561d/fHw0aNMCCBQsAAHK5HF5eXhgxYgTGjRunsn/Xrl2RnJyM7du3K7a98847qFu3LpYsWZLr4yUmJsLFxQUJCQlwdnYusOcR8+wl9l1WH7i+3sJgRUREhY+NpQUmta2ust3T1Q7Nq6ouh5Ef+nx+G7TPS1paGk6fPo3x48crtllYWCAkJAQRERFqj4mIiMCYMWOUtoWGhmLLli1q909NTUVq6puJ0xITDTOhzvX45wwpRET0VknLkKv97AuqXLLAw4s+DBpeHj16hIyMDLi7Kz9Bd3d3XL6sfshlbGys2v1jY2PV7h8WFoapU6cWTMFaFHe0QcsaHmpv23VBfW1ERERSp+6zL2sGbFOR/Gij8ePHK7XUJCYmwsvLq8Afp4anC5b09lV7m7q5WYiIiKSuVmnNn32mZNDwUqJECVhaWiIuTnl+i7i4OHh4qG/F8PDw0Gt/W1tb2NqqX9eGiIiICh+DjjaysbGBr68vwsPfzFwql8sRHh6OgIAAtccEBAQo7Q8Ae/bs0bg/ERERGYYw03WlDT5UesyYMVi+fDl++eUXXLp0CUOGDEFycjL69esHAOjTp49Sh95Ro0Zh165d+O6773D58mVMmTIFp06dwvDhww1d6lvLu3gRzOuiurBhTh/U9TRCNfmTfXFDKRrXqqrGlcGJiIzNXIdKGzy8dO3aFXPnzsWkSZNQt25dREVFYdeuXYpOuXfu3MGDB2+WWA8MDMS6deuwbNky1KlTBxs3bsSWLVtQs2ZNQ5dqFHM618afQwMVy8vnlLVqb3Y+JRwMUktXPy/M/bAO/hzaCB3rl1FsX9HHT2XfxpVKYFbH2tg+4l2D1JJfY1tWxbbhjQAAx8YHY2RwJWwYrL617qvWVVW2dcr2/HXhaGuYK66Dm1RAD/+yBrnvglS2WBFTl0BEbzGjdNgdPny4xpaTAwcOqGz78MMP8eGHHxq4KuP7a/i7qFXGBQBQysUOf52NUbr9g7qe6N6wLJ6nvMI3O95MxT8quBJG/x6l8+NETXoPdaftUdm+7hN/9FjxZtXk7v5lUdfLVfH7rbDWSH0lh521JTYODkDnJW+Gs39QtzTsbSxha2X65bBci1irrHg7pGkFxf97uNhhzHuVAQDt6nhi2+vz/N2HddCmdinYWVsi5lkKfj4arThmRvuaeJH2CjvP6zZy7PzUUFyNS0LUnWf4ctN/+XxGmaZ/UKNA7scYDn7ZDOfvJ+DYzcdql42IntUGR288Qo/lua/STdLR/10frDx8y9RlkBHJZKauQD3TfxK9RbKCC5A58U92/d/1wayOtQGo/rG0reOJ3u+UQ0OfYrk+xup+DeBaxAbnp4bi5IQQxfaBQeURWLGE0r61S7so/S6TyWD3em0gP2/lx3K1twYAyM2gCXHNx/5Kv2s7L/O718P4VlXR2bcMOtYvrXh+E9pUU9rP3sYSi3v54sRXwUqBTpvK7k7o0kB5ZNugoPJYmqNn/pxOtRE58T20qumBdq9b3Jb0qo8BjX3e7NO5Nnr6l1P8XtrVXqcaDKFxpRJab3+vemarac3SLvikcXmV2+uXdQUABFYogeCqbort5Yrr11oTPasNTn8dgtUfNdDruLfdO+Vzf5/IEjnxPbXbj45rjjM5bjs/NRQT31edrIzIFCQ/VFoqmlYpqfR7cUdbDG9WEQv2X8fYllWVWg7eKV9c8f+bhgTC0kKG6e0zL5t1XRqB47eeAAC2DmuEtcdv449Tb1Z6blYl88PC0dYK6a/erBT9yesPyukf1MDErReweWggLCx0j9TNX38IVXRz1PkYQ/imQ02lEAgA87vV03rMoCYVVLZZW6rP7W7OdmhV0wNRd5/pXVtINXeMbVkVFhYyXJ7eEjJZ5uSG1Us5QyaTYXGvzFAzv3tmvaE1PNCsihuc7KxVntPuT4Ow89wDfLGxYFp19LGmv7/G4f+NK5XAshzhbM+nQXjv+4MAgPUD30GDbMHXz7sYwl/PTL17dBA+WHAEV+KScq2h4ev7KO5oi2bZAhAA2FpZIPWV9lXQ32arPmqAmGcvETLvYK77FnOwwa2w1pDJZGjy7X7cfvwCAOCpJjwb6lIpmbe3ts8LAdVKOWNhj/oq2z8PrYLoWW2UgguQ+Y12+4h3cerrEPiWK6p0W9a3+iruTqjj5Yo5netkO0550qDsLTgyZP7SO8Ab0bPaoF5Z5fvVplzxIoqgY6lH4DGEzr6qfVM8XOzydF9ZHWNz9nexy2Vl6q5+6ucRqlXaRXGe7KwtYWtliRqeLpBpaHeVyWQIrFhCJbgAmR8UH/p54eK0UI11VChZsH2hvgitgiszWgIATkwIVrm9b0A5rOnvr/J8Krk74ZePG2LVR354p3xxpb+RD/3KwNbKAm3reMLO2hK7Pw3C8a+CcXFaKNycMqc4mN2pFj57fZkvy5pPGqqt0bWINS5Pb5mv56mP3Fqh9DG+lWpfq6/bVNP4Op6YEIw5nWpjaW9flZa4mzNbq+27BQBFbKxQ0c0JI5pXVGyr4u6ES9Na4szE93B2cgu8V90dX79ufcx6PbX9y8768gTo399plpp+fET5xfBSAEpl+/Bc0kt1Mp/RIZXgoOe3lpqlXVDCUXX+GtciNvhvSgtsfd05FchsXj85IQTbRzRW2bdVTQ+8V90dJRxt9Hp8c5LVavVedXfYWmUGi8AKxbUdopPuDb2wd0wQZndSfnPt4ueFBt6aw9209sbrm1LERvPfTfhnTVWa9vOjT0A5xfl1c1IOhDM71MLktpqfdxMNU4WXcLTF+amhmN+trmKbu7MdithYYc+YJtgyrBG6+HlhRHAlpeOy6sji4ZxZT+NKJSGTyVA+D53YXV5f+tTHmv7+ue+UixntayJ6VhsMalIBTnZvXs9WNT3wcSMftKypfg4rNyc7dGnghdAaHjgyrrnSbRYWMgwMqoDoWW00BqzPWlRR/P/3XevC3sYSRR1s4GJvjeV9/FQu+bkWUX2POPB5Uyzt7Yte2TqRrx/4Tq7PeeuwN+9P3Rqabwf07JfBvu1c24SVmC/2eSnE/hgUgKFNK+DEhGCVN6JWNT3wXrWCXf/B2c5apXWgpJP6ifoW9/LF8j5+Gr/9a1Pndd+PznqOxCkIo4IrYUkvX3SsXxpLevni3JQWSpcr1g14B2v6N8SBz5vm+TFkMhkqujnBKsclJHsbS2wYHKjU6tXFrwyKFrHGpPerq3ywZilb3DD9VC5OC8XyHCPAsvqSFHUouFCq7W+kQ73Sel1mzM7a0kLtfbvYW6Oul6vitqzWnqygkt2fQwMxoXU1fNMhswVgfvd6Ogfyc1Na4MSEYHTxM+zf8Z5PgzCjveqoyCI2b/5eFmRrga3r5QoLCxka+uQviP/UXftlUyBzEb3cfN+1LnzLFcXKvm/+1rxLOCC0hofS66fuklJOdbxcsX7gOzg8tlmu+xa0fo2883Sctr//vgHlNN5W2PGyUSHmVawIvmxZVeXbKpAZHvL6pm9qv/VviF8/bqhyWcvQPnnXB5++Vxkta3pgXpe6sLO2hJOdtcqbS+NKJeFtoGHkAOCc7VtyWMfMTrcfv+ujst/aT/wxOqQSPqhT2iB1FLGxwnvV3XE027dvr3wMVf4itArWDfCHb7mi+CjQ+83j5AjE7s5vArGdteHfKtyc7HB2UgscUvOB5+lqjwFB5eFsl9l6UrO0i1KHdG2c7Kzh5mSn1BJhCJXcndCtgfalSZpUftP3rXTRzBAQUL44bCwt8nwZMHuLScd6yn+Dh75shj2fBqltVcnJp4QDNg0JRHABfdl6p3xxlClq/CH1rWuVUtmW/d+yJn7liqJ7Q/WvX2iOL6Wl8nipWlcNvXXvdG1oDC8kOU521giqXFKlZeLnfg0K9B/via+CsefToAK7P0OwtJBp/GbWqGIJjA6pbPCQ6ulqj/8NeAfdG5bFZy3e9BHRd/j6sGYVEVihBDYNCcSUdjVweXpLXJnRUqX+WqVdAWQ2G+el5S4vXIpYa+xMnZNMJkPxbC1PPf3L4tTXIRo7lubWl0kfmiZDzPlvBVDtJ/brxw0xOqQSWtfM/JC1sbLA5ektsXdME+wd0wTuzrYa5yjSZFHP+mhdywPTcrT8eBUrgkruTnrdlxRlb/EqWkT58uDFaaEI/6wpang6Y/oHNeCU7e9DhswRV3vHBMG7hANmdqil1Fo0pW11/NitLgIrlMDeMUFwsrPChsEB+HNooNJjvF+7FP4e+WYOrHGtquo1Yea7OUaC/qHn6/82Yvdx0lvTKm74uV9DhP6Q+2gGXbg528Et26WCOjoOVX4bBVQojoAc/X3srC3zNfpG04f67E61sGC/Pbo1MN8+C/9+2Qw1J+8GAEz7oCYsLWT4uV8DpTmKCpq6CSY/DamsZs9MOS8lB1UuiaDKyqMPs4JjRTdHHP9Ke4vSsGaqLaGta5VS2+JgKB/6lsGG0/dy3/G1MkXtce/pS4PV09m3DL7ech4AUNFNOawVsbFCERsr/D0ys09gYsorfLv7CoDMEYLFHGxQ7HUIlslkSq1FrWqVgvvr96aKbk44N+VNB/oTXwXD1soSyWmvUMrFDjKZDF+EVkH4pTh83Ei1hVaT3aODUL6kAypN2KnXc949OgjdlkXgaY45rwoa+7xQoVW+gEa9hH/WBN93rYP3axvvTVib5q+bz/PS0dOY9BkRo8+banFHW0xuWwNVPMz3m7ujrRWiZ7VB9Kw2ihaOStk+vOq9nnMmiz7n6vo3rdQeI163oy/oUQ82lhZY3LM+RoVUUjkeAOZ1qaOxj5S+previcaVSmBYs4q572xgE9pUUxkJqc28LnUNVwwyA/jVGa1wc2ZrAJl9DTUZ0qQCNg0JxLHxwSirYe6h/Z83xdZhjRTBRR03Zzu4FLGGp6u9omVyWLOK+HNoI9jo2BoqkwFVPJzUtjbuHaO9NdpCBrxbqaTWfQoCLxu9RbYMa4TSrvZqh0cXFtnTeK3SqkN986JCSUd0qFfGaJcoctOjYVks7+OHvWOamLoUrWbqMRR1vIbhtYWJSxFr7B4dhE9DKqssdaGuQ60mWZeAcn6wZL2Xv1/bE5emt0SrHC0eIdXezEvToV7B9YPq/U7mUHVtI9CMxbWIDTYNCcx9x9d0mWAzv2ysLBQtWNouPVpYyOBbrqjWKRZ8SjgYtAU4tIY7SjjaYu0nqqPZsoaiV3Rzws5RjVHRzVERwptWKYnmVd1Qr6wrKpR0hLWl4d8rLcw0JZj+X0EhVNfLVWVoY2GT17lVpMTSQqaYTdacZXVi1YWu/UmkroqHk9oWo3LFHdCiujv+uRin2BZYoTiO3nis8b60dWVSN+/R9PY18TL9LD4K9DGbIG4oVT2ccDk290kHC5p38SKIfj2hnjrmetrLl3TAV62qIaS6O4QQav8+so8grFbKGXvHNMGrDDlO336KOl6usLO2VBxbkP24NDHXy8ZvxzsZFThnO2vs/7wpjoxrnq+ZN3/XYc4Iyl2HeqVRrZSzxtuLOdhgQutqGm9/myzp5Ytj44Mx6f3qWP1RAx0+AHJ8wOTSjF7KxR5rP3lHEsE3v3aOaqwyTUN/NSPy9JWzA2tO2WchV6fv61F0TSob/rKKNkOzjdSsXsoZ+z5ripDXfxeagu3MDqqtg1aWFvAvX1zxt5p1rDEGsjrpMFLLFMyzKpKErNWux7xXGVdik3Dq9lOl2+2sLZCSrrkjqT698Um777vWhRACPuN3qL396LjmRvmWJgUWFjJ4uNgphr17uNhh3+slDHQhN9dOACYgk8lwckKI0nISvd/J/5wobeuUwuHrjzTeHlzNHetP3tV4e/2yRXH66xAU1WGIuCENa1YRiw7cAADM/bCO1n2PjmuOh0mpqOGp+2V4C3NtYjICtrxQvhV3tMVGNde/+R5vXNouUZjDauDmKrcO5zknw+PftXZ5nXvp5szWWNKrPnq/U05lyY6cHGxyD+LFHW1NPseWvbUlSjrZwrWINSq7a18XztPVXu9+Nm9vdGF4IQPq4W+e10oLM01vfoW970V+2FpZah05M6aF8jBokdt1o7dQndfrc2nrQJq12vX3XVVbIGa0rwkLCxla1iyF6e1rqp0vR0m2hwkz47WTLCxkODquOU58FZL7cyK98GySQSzuWR/jW7GPhbFlrflkJdFZnU1lw6AAbNQwMVgJB+U+HbK3+vuueot7+aKHf1nsGNlY4z7rBwbgVlhrdKin2qrSKx+XmtTNu2NOrC0tdB46rS9NX0pyTtSXH+baamueVZEkZZ91t1lVN9hYWWj8JvbHIM4gaQijgitharsaCP+sicoq46SZhYUMfhqmZLewkOH4V8HoG1AOJZ1s34rh5vrydLXHzA61cp3Nt6BaAG2ytWK8zTld3en0KeGALn7al6nQhzkMzVfHPKsiSdo6rBEazgxHtwZeis6hu0YHIfi7f1X2zes6LqSdnbWlYqQFFRx3ZztM/aAmprSrwUtwZsDNyQ4fBXrD2lJmth+uxpC9FXDtJ/54kpyW69B/fZnrRdK391WnAufmbKcygqhCSfWd1Ox16HBH+fN+bU+cv59o6jIKFQYX8zGlXQ1Tl2By1Uq9aemq4uGEEo6Zlzjfr10KyamvUMfLFa1+PGSq8gyKl43I4NRNSa9uci8qWAU18zERmafsK4BnHwUnk8nQrWFZrXM/SR3DCxncxPdVO+4W1HovRPT2sTLCtPhSkP0s6DoKbsx7maPnujXwMtuZiHXBy0ZkcGxqJyJ91SztrPGyp6ervZGrMU/Z57HRdRTcyOBKGNK0AqwtLdCkckkMWRupdX9vDYtXmhpbXogKKU6mRlK2rLdf7ju95VzsrdG+rifa1CqlMpmiOj1fz72VtcaZLrNulytunoMr2PJCRJSD51uw8Kgp/dyvAT5afVLrPmxd0c0P3eppvX3VR354mJSKwAolUKZo4TmnDC9EhRRngs27OZ21r0ND+dO0ipupS3hrNK+qeYHQgAraF7g0ZwwvRESv7fk0CNfin+PdStpXNSbjuDgtFCnpcsQ8e4n3fzps6nIKHTtrS+wdE4SQeQdNXYre2OeFqJAqnmNae8pdJXcntK5VytRl0GtFbKxQzMEGNUu7mP0yAFJV0U37rMjmiuGFqJCq7umMr9tUw8Ie9U1dClG+OdpyegVDGRRU3tQl6I2XjYgKsU8aS+9NiUidMe9VwaUHSejWoODW7aFMDX2KYenBmyrb133ib4JqdMPwQkREZq+kky22DGtk6jLeKm7O5jvqjpeNiIjI6FrV9AAANPAuauJKSIrziLLlhYiIjG5O59poVsUNLWpoHspLpAnDCxERGZ2TnTW6sP8K5REvG5FRDGrCjqNEROZI01IiHmY80zRbXsgoyhQ1z8W9iIhI2ZzOtVGrtAscbc03IphvZURERGRwOTvsdvEz/8t5vGxERlG/rKvi/7s3LGu6QoiISPIYXsgoani6KP6/XHFeQiIiorxjeCEiIiJJYXgho9PUs52IiIyvlIu9qUvQG8MLERHRW6xaKWdTl6A3hhciIiKSFIYXIiIikhSGFzI6AXZ6ISKivGN4ISIiIklheCEiIiJJYXghIiIiSWF4IaPjPC9ERJQfDC9EREQkKQwvREREJCkML0RERCQpDC9EREQkKQwvREREJCkML0RERCQpDC9EREQkKQwvZHSCE70QEVE+MLwQERGRpDC8EBERkaQwvBAREZGkMLwQERGRpDC8kNGxvy4REeUHwwsRERFJCsMLERERSQrDCxEREUkKwwsZHbu8EBGZly9CqwAARjavaOJKdGNl6gKIiIjItIY2rYD29UrD08XO1KXohOGFiIjoLSeTyVDa1d7UZeiMl42IiIhIUhheyOg4zwsREeUHwwsRERFJisHCy5MnT9CzZ084OzvD1dUV/fv3x/Pnz7XuP2LECFSpUgX29vYoW7YsRo4ciYSEBEOVSERERBJksPDSs2dPXLhwAXv27MH27dtx8OBBDBw4UOP+MTExiImJwdy5c3H+/Hn8/PPP2LVrF/r372+oEomIiEiCZEIUfA+ES5cuoXr16jh58iT8/PwAALt27ULr1q1x7949eHp66nQ/GzZsQK9evZCcnAwrK/UDo1JTU5Gamqr4PTExEV5eXkhISICzs3P+nwwVGO9xfwMARodUwuiQyiauhoiIzEliYiJcXFx0+vw2SMtLREQEXF1dFcEFAEJCQmBhYYHjx4/rfD9ZT0BTcAGAsLAwuLi4KH68vLzyVTsZHjvsEhFRfhgkvMTGxsLNzU1pm5WVFYoVK4bY2Fid7uPRo0eYPn261ktNADB+/HgkJCQofu7evZvnuomIiMj86RVexo0bB5lMpvXn8uXL+S4qMTERbdq0QfXq1TFlyhSt+9ra2sLZ2Vnph4iIiAovvWbY/eyzz/DRRx9p3ad8+fLw8PBAfHy80vZXr17hyZMn8PDw0Hp8UlISWrZsCScnJ2zevBnW1tb6lEgSwKtGRESUH3qFl5IlS6JkyZK57hcQEIBnz57h9OnT8PX1BQDs27cPcrkc/v7+Go9LTExEaGgobG1tsW3bNtjZSWONBSIiIjIeg/R5qVatGlq2bIkBAwbgxIkTOHLkCIYPH45u3bopRhrdv38fVatWxYkTJwBkBpcWLVogOTkZK1euRGJiImJjYxEbG4uMjAxDlElEREQSZLCFGdeuXYvhw4cjODgYFhYW6NSpE+bPn6+4PT09HVeuXMGLFy8AAJGRkYqRSBUrKi/JfevWLXh7exuqVCIiIpIQg4WXYsWKYd26dRpv9/b2RvYpZpo2bQoDTDlD5oivMxER5QPXNiIiIiJJYXghIiIiSWF4ISIiIklheCGjY48XIiLKD4YXIiIikhSGFyIiIpIUhhciIiKSFIYXMjpO80JERPnB8EJERESSwvBCREREksLwQkRERJLC8EJERESSwvBCRic4TR0REeUDwwsRERFJCsMLERERSQrDCxEREUkKwwsZHSepIyKi/GB4ISIiIklheCEiIiJJYXghIiIiSWF4IaNjlxciIsoPhhciIiKSFIYXIiIikhSGFyIiIpIUhhcyOs7zQkRE+cHwQkRERJLC8EJERESSwvBCREREksLwQkZXw9PZ1CUQEZGEWZm6AHp77B4dhKi7T/F+7VKmLoWIiCSM4YWMpoqHE6p4OJm6DCIikjheNiIiIiJJYXghIiIiSWF4ISIiIklheCEiIiJJYXghIiIiSWF4ISIiIklheCEiIiJJYXghIiIiSWF4ISIiIklheCEiIiJJYXghIiIiSWF4ISIiIklheCEiIiJJKXSrSgshAACJiYkmroSIiIh0lfW5nfU5rk2hCy9JSUkAAC8vLxNXQkRERPpKSkqCi4uL1n1kQpeIIyFyuRwxMTFwcnKCTCYzdTl5kpiYCC8vL9y9exfOzs6mLscs8Rxpx/OTO56j3PEc5Y7nKHe6niMhBJKSkuDp6QkLC+29Wgpdy4uFhQXKlClj6jIKhLOzM/8x5ILnSDuen9zxHOWO5yh3PEe50+Uc5dbikoUddomIiEhSGF6IiIhIUhhezJCtrS0mT54MW1tbU5ditniOtOP5yR3PUe54jnLHc5Q7Q5yjQtdhl4iIiAo3trwQERGRpDC8EBERkaQwvBAREZGkMLwQERGRpDC8EBERkaQwvJiZhQsXwtvbG3Z2dvD398eJEydMXZLZCAsLQ4MGDeDk5AQ3Nze0b98eV65cMXVZZm3WrFmQyWQYPXq0qUsxK/fv30evXr1QvHhx2Nvbo1atWjh16pSpyzIbGRkZmDhxInx8fGBvb48KFSpg+vTpOi2YV1gdPHgQbdu2haenJ2QyGbZs2aJ0uxACkyZNQqlSpWBvb4+QkBBcu3bNNMWaiLZzlJ6ejrFjx6JWrVpwcHCAp6cn+vTpg5iYmDw9FsOLGfn9998xZswYTJ48GZGRkahTpw5CQ0MRHx9v6tLMwr///othw4bh2LFj2LNnD9LT09GiRQskJyebujSzdPLkSSxduhS1a9c2dSlm5enTp2jUqBGsra2xc+dOXLx4Ed999x2KFi1q6tLMxuzZs7F48WIsWLAAly5dwuzZszFnzhz89NNPpi7NZJKTk1GnTh0sXLhQ7e1z5szB/PnzsWTJEhw/fhwODg4IDQ1FSkqKkSs1HW3n6MWLF4iMjMTEiRMRGRmJP//8E1euXEG7du3y9mCCzEbDhg3FsGHDFL9nZGQIT09PERYWZsKqzFd8fLwAIP79919Tl2J2kpKSRKVKlcSePXtEkyZNxKhRo0xdktkYO3asePfdd01dhllr06aN+Pjjj5W2dezYUfTs2dNEFZkXAGLz5s2K3+VyufDw8BDffvutYtuzZ8+Era2t+N///meCCk0v5zlS58SJEwKAuH37tt73z5YXM5GWlobTp08jJCREsc3CwgIhISGIiIgwYWXmKyEhAQBQrFgxE1difoYNG4Y2bdoo/T1Rpm3btsHPzw8ffvgh3NzcUK9ePSxfvtzUZZmVwMBAhIeH4+rVqwCAs2fP4vDhw2jVqpWJKzNPt27dQmxsrNK/NxcXF/j7+/P9W4uEhATIZDK4urrqfWyhW1Vaqh49eoSMjAy4u7srbXd3d8fly5dNVJX5ksvlGD16NBo1aoSaNWuauhyzsn79ekRGRuLkyZOmLsUs3bx5E4sXL8aYMWPw1Vdf4eTJkxg5ciRsbGzQt29fU5dnFsaNG4fExERUrVoVlpaWyMjIwDfffIOePXuaujSzFBsbCwBq37+zbiNlKSkpGDt2LLp3756n1bgZXkiShg0bhvPnz+Pw4cOmLsWs3L17F6NGjcKePXtgZ2dn6nLMklwuh5+fH2bOnAkAqFevHs6fP48lS5YwvLz2xx9/YO3atVi3bh1q1KiBqKgojB49Gp6enjxHlG/p6eno0qULhBBYvHhxnu6Dl43MRIkSJWBpaYm4uDil7XFxcfDw8DBRVeZp+PDh2L59O/bv348yZcqYuhyzcvr0acTHx6N+/fqwsrKClZUV/v33X8yfPx9WVlbIyMgwdYkmV6pUKVSvXl1pW7Vq1XDnzh0TVWR+vvjiC4wbNw7dunVDrVq10Lt3b3z66acICwszdWlmKes9mu/fucsKLrdv38aePXvy1OoCMLyYDRsbG/j6+iI8PFyxTS6XIzw8HAEBASaszHwIITB8+HBs3rwZ+/btg4+Pj6lLMjvBwcE4d+4coqKiFD9+fn7o2bMnoqKiYGlpaeoSTa5Ro0YqQ+yvXr2KcuXKmagi8/PixQtYWCh/PFhaWkIul5uoIvPm4+MDDw8PpffvxMREHD9+nO/f2WQFl2vXrmHv3r0oXrx4nu+Ll43MyJgxY9C3b1/4+fmhYcOG+OGHH5CcnIx+/fqZujSzMGzYMKxbtw5bt26Fk5OT4lqyi4sL7O3tTVydeXByclLpA+Tg4IDixYuzb9Brn376KQIDAzFz5kx06dIFJ06cwLJly7Bs2TJTl2Y22rZti2+++QZly5ZFjRo1cObMGcybNw8ff/yxqUszmefPn+P69euK32/duoWoqCgUK1YMZcuWxejRozFjxgxUqlQJPj4+mDhxIjw9PdG+fXvTFW1k2s5RqVKl0LlzZ0RGRmL79u3IyMhQvIcXK1YMNjY2+j1YnsZAkcH89NNPomzZssLGxkY0bNhQHDt2zNQlmQ0Aan9Wr15t6tLMGodKq/rrr79EzZo1ha2trahatapYtmyZqUsyK4mJiWLUqFGibNmyws7OTpQvX15MmDBBpKammro0k9m/f7/a95++ffsKITKHS0+cOFG4u7sLW1tbERwcLK5cuWLaoo1M2zm6deuWxvfw/fv36/1YMiHe4ikTiYiISHLY54WIiIgkheGFiIiIJIXhhYiIiCSF4YWIiIgkheGFiIiIJIXhhYiIiCSF4YWIiIgkheGFiIiIJIXhhYiIiCSF4YWIiIgkheGFiIiIJOX/dIHThc75iqkAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A COMPLETER\n",
    "# Calcul de ZNCC pour le tag audio et l'extrait musical\n",
    "t_ZNCC_music_1, ZNCC_music_1 = ZNCC(extrait_musique.astype(float),extrait_tag.astype(float),1/freq_tag)\n",
    "\n",
    "# Affichage du score ZNCC en fonction du retard tau\n",
    "plt.figure()\n",
    "plt.plot(t_ZNCC_music_1,ZNCC_music_1)\n",
    "plt.title(\"ZNCC entre le tag audio et l'extrait n°1\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "812ede54",
   "metadata": {},
   "source": [
    "Si tout est ok, il devrait y avoir un pic qui ressort ! Récupérez la valeur de $\\tau$ où ZNCC est maximum."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "6747ca18",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Tau optimal : 1.4953750000000001\n"
     ]
    }
   ],
   "source": [
    "# A COMPLETER\n",
    "# Récupération du tau optimal\n",
    "best_tau = t_ZNCC_music_1[ZNCC_music_1.argmax()]\n",
    "print(f\"Tau optimal : {best_tau}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ee98dccd",
   "metadata": {},
   "source": [
    "Coupez music_1 de manière à avoir l'extrait où vous avez le meilleur score ZNCC (à partir du $\\tau$ optimal)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "fc910b28",
   "metadata": {},
   "outputs": [],
   "source": [
    "# A COMPLETER\n",
    "# Extraction de l'audio avec le meilleur score ZNCC\n",
    "indice_tau_t_musique = np.argwhere(t_musique==best_tau)[0][0]\n",
    "best_extrait_music_1 = extrait_musique[indice_tau_t_musique:indice_tau_t_musique+len(t_extrait_tag)]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "296d83eb",
   "metadata": {},
   "source": [
    "Exportez dans un nouveau fichier WAV l'audio du meilleur extrait trouvé via la fonction *write* du module *wavfile* du package *scipy.io*"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "38e17ef9",
   "metadata": {},
   "outputs": [],
   "source": [
    "# A COMPLETER\n",
    "# Export du meilleur extrait en fichier WAV\n",
    "wavfile.write(\"best_extrait_music_1.wav\",freq_musique,best_extrait_music_1)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "43869959",
   "metadata": {},
   "source": [
    "**_QUESTION :_** Alors, est-ce que l'extrait trouvé est pertinent ?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "4f65c2a1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
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\" type=\"audio/wav\" />\n",
       "                    Your browser does not support the audio element.\n",
       "                </audio>\n",
       "              "
      ],
      "text/plain": [
       "<IPython.lib.display.Audio object>"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "IPython.display.Audio('best_extrait_music_1.wav')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b82bd61d",
   "metadata": {},
   "source": [
    "**_REPONSE :_** OUI !"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "22a840eb",
   "metadata": {},
   "source": [
    "Vous pouvez maintenant continuer votre recherche avec les autres audios. Ecrivez pour finir les extraits audios où vous avez trouvé le tag."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "443148b9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x700 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x700 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A COMPLETER\n",
    "# Chargement des extraits audios\n",
    "freq_musique_2, extrait_musique_2 = wavfile.read(\"audios/music_2.wav\")\n",
    "freq_musique_3, extrait_musique_3 = wavfile.read(\"audios/music_3.wav\")\n",
    "freq_musique_4, extrait_musique_4 = wavfile.read(\"audios/music_4.wav\")\n",
    "freq_musique_5, extrait_musique_5 = wavfile.read(\"audios/music_5.wav\")\n",
    "\n",
    "# Reconstruction des axes temporels\n",
    "t_musique_2 = np.arange(0,len(extrait_musique_2)/freq_musique_2, 1/freq_musique_2)\n",
    "t_musique_3 = np.arange(0,len(extrait_musique_3)/freq_musique_3, 1/freq_musique_3)\n",
    "t_musique_4 = np.arange(0,len(extrait_musique_4)/freq_musique_4, 1/freq_musique_4)\n",
    "t_musique_5 = np.arange(0,len(extrait_musique_5)/freq_musique_5, 1/freq_musique_5)\n",
    "\n",
    "# Affichage des signaux\n",
    "plt.subplots(2,2,figsize=(10,7))\n",
    "plt.subplot(221)\n",
    "plt.plot(t_musique_2,extrait_musique_2)\n",
    "plt.title(\"Extrait n°2\")\n",
    "plt.subplot(222)\n",
    "plt.plot(t_musique_3,extrait_musique_3)\n",
    "plt.title(\"Extrait n°3\")\n",
    "plt.subplot(223)\n",
    "plt.plot(t_musique_4,extrait_musique_4)\n",
    "plt.title(\"Extrait n°4\")\n",
    "plt.subplot(224)\n",
    "plt.plot(t_musique_5,extrait_musique_5)\n",
    "plt.title(\"Extrait n°5\")\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "# Calcul de ZNCC pour le tag audio et les différents extraits musicaux (assez long...)\n",
    "t_ZNCC_music_2, ZNCC_music_2 = ZNCC(extrait_tag.astype(float),extrait_musique_2.astype(float),1/freq_tag)\n",
    "t_ZNCC_music_3, ZNCC_music_3 = ZNCC(extrait_tag.astype(float),extrait_musique_3.astype(float),1/freq_tag)\n",
    "t_ZNCC_music_4, ZNCC_music_4 = ZNCC(extrait_tag.astype(float),extrait_musique_4.astype(float),1/freq_tag)\n",
    "t_ZNCC_music_5, ZNCC_music_5 = ZNCC(extrait_tag.astype(float),extrait_musique_5.astype(float),1/freq_tag)\n",
    "\n",
    "# Affichage des scores ZNCC en fonction du retard tau\n",
    "plt.subplots(2,2,figsize=(10,7))\n",
    "plt.subplot(221)\n",
    "plt.plot(t_ZNCC_music_2,ZNCC_music_2)\n",
    "plt.title(\"ZNCC extrait n°2\")\n",
    "plt.subplot(222)\n",
    "plt.plot(t_ZNCC_music_3,ZNCC_music_3)\n",
    "plt.title(\"ZNCC extrait n°3\")\n",
    "plt.subplot(223)\n",
    "plt.plot(t_ZNCC_music_4,ZNCC_music_4)\n",
    "plt.title(\"ZNCC extrait n°4\")\n",
    "plt.subplot(224)\n",
    "plt.plot(t_ZNCC_music_5,ZNCC_music_5)\n",
    "plt.title(\"ZNCC extrait n°5\")\n",
    "plt.tight_layout()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "913b986d",
   "metadata": {},
   "source": [
    "On remarque que sur les extraits 2, 3 et 4, il n'y a aucun score ZNCC très haut ou très bas. On ne détecte donc pas le tag audio dans ces extraits. En revanche, dans l'extrait 5, on voit deux très hauts pics positifs, indiquant qu'il y aurait possiblement deux fois le même tag audio. Et à l'écoute, cela peut paraître surprenant, mais c'est le cas. Beethoven ft DJ Khaled, la collab que personne n'attendait..."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "deep",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
