{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "daf9966c",
   "metadata": {},
   "source": [
    "# Traitement du Signal - TP4 : Convolution\n",
    "\n",
    "---\n",
    "\n",
    "Aujourd'hui, on va faire des convolutions. Beaucoup de convolutions. On va coder la fonction, puis l'utiliser dans plein de situations."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "eee92c54",
   "metadata": {},
   "outputs": [],
   "source": [
    "# A COMPLETER\n",
    "# Import des librairies\n",
    "import numpy as np\n",
    "from matplotlib import pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2fda4484",
   "metadata": {},
   "source": [
    "## Exercice 1 : Pour faire des convolutions, il faut une fonction..."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f8c0bf77",
   "metadata": {},
   "source": [
    "Avant de commencer à effectuer des convolutions, on va tout d'abord coder la fonction. Pour rappel, la fonction de convolution entre un signal *f(t)* et *g(t)* :\n",
    "\n",
    "\\begin{equation*}\n",
    "f(t) \\ast g(t) = \\int_{-\\infty}^{\\infty} f(\\tau) g(t - \\tau) \\, d \\tau\n",
    "\\end{equation*}\n",
    "\n",
    "Evidemment, cette formule fonctionne en analogique, mais on fait du numérique ici, ce qui signifie qu'il faut utiliser la fonction de convolution discrète : \n",
    "\n",
    "\\begin{equation*}\n",
    "f[n] \\ast g[n]=\\sum_{m=-\\infty}^{\\infty} f[m] \\cdot g[n-m] \\cdot T_e\n",
    "\\end{equation*}\n",
    "\n",
    "Ici, $T_e$ est le temps d'échantillonage de $f$ et $g$."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "09f9d800",
   "metadata": {},
   "source": [
    "*Attends, ça me dit un truc cette formule... Un mauvais souvenir sûrement...*\n",
    "\n",
    "Et non, tu ne rêves pas jeune ITI3. Si ça te rappelle quelque chose, c'est qu'elle est très proche d'une autre fonction que nous avons déjà développé : la fonction de corrélation. On va gagner beaucoup de temps !\n",
    "\n",
    "Récupérez les fonctions utilisées durant le TP2 pour la corrélation, et modifiez-les pour effectuer une convolution à la place."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "6a2a9103",
   "metadata": {},
   "outputs": [],
   "source": [
    "# A COMPLETER\n",
    "# Développement de la fonction de convolution\n",
    "\n",
    "# Les fonctions de padding et de shift restent inchangées par rapport à la corrélation\n",
    "def padding(signal,M):\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",
    "    \"\"\"\n",
    "    if M<=len(signal):\n",
    "        return signal\n",
    "    out = np.zeros((M),dtype=signal.dtype)\n",
    "    out[:len(signal)] = signal\n",
    "    return out\n",
    "\n",
    "def shift(x, S):\n",
    "    \"\"\"\n",
    "    Effectue un décalage de S sur le signal x\n",
    "    x : tableau 1D NumPy, représentant un signal\n",
    "    S : entier, représentant le pas de décalage à effectuer\n",
    "    \"\"\"\n",
    "    len_x = len(x)\n",
    "    y = np.zeros((len_x+abs(S)))\n",
    "    if S>0:\n",
    "        y[-len_x:] = x\n",
    "        return y[:len_x]\n",
    "    else:\n",
    "        y[:len_x] = x\n",
    "        return y[-len_x:]\n",
    "\n",
    "# Quatre changements à faire dans la fonction de convolution calculées avec un décalage de n cases :\n",
    "# - Le décalage temporel ne se fait pas sur f mais sur g\n",
    "# - Le décalage S à effectuer devient S - (len(g)-1)\n",
    "# - Le signal g est renversé (g -> g[::-1])\n",
    "# - On n'utilise pas np.conjugate(g) contrairement à la corrélation\n",
    "\n",
    "def convolve_at_shift_n(f, g, n, Te):\n",
    "    \"\"\"\n",
    "    Calcule l'échantillon n de la convolution de f et g.\n",
    "    f,g : tableaux 1D NumPy, signaux à convoluer ensemble\n",
    "    n : entier, pas de décalage à effectuer\n",
    "    Te : float, temps d'échantillonnage de f et g\n",
    "    \"\"\"\n",
    "\n",
    "    N, M = len(f), len(g)\n",
    "\n",
    "    # Décalage équivalent pour faire glisser g renversé contre f :\n",
    "    S = n - (M - 1)\n",
    "\n",
    "    # On pad comme dans score_correlate pour garder la même logique d’alignement\n",
    "    len_f, len_g = len(f), len(g)\n",
    "    f_pad = padding(f, len_g)\n",
    "    \n",
    "    # IMPORTANT: convolution -> pas de conjugaison, mais on renverse g\n",
    "    g_rev = g[::-1]\n",
    "    g_pad = padding(g_rev, len_f)\n",
    "    \n",
    "    # On décale g de S (positif: droite, négatif: gauche)\n",
    "    g_decale = shift(g_pad, S)\n",
    "\n",
    "    # Produit scalaire final\n",
    "    return np.dot(f_pad, g_decale) * Te\n",
    "\n",
    "# Un changement à faire par rapport au calcul de la corrélation :\n",
    "# - L'axe temporel évolue de 0 à (len(f)+len(g)-2)*Te secondes\n",
    "def convolution(f, g, Te):\n",
    "    \"\"\"\n",
    "    Convolution linéaire de f et g.\n",
    "    f,g : tableaux 1D NumPy, signaux à convoluer ensemble\n",
    "    Te : float, temps d'échantillonnage de f et g\n",
    "    \"\"\"\n",
    "    N, M = len(f), len(g)\n",
    "    # Le retour de la convolution est un signal de taille L = len(f)+len(g)-1\n",
    "    L = N + M - 1\n",
    "    n_vals = np.arange(L)\n",
    "    y = np.array([convolve_at_shift_n(f, g, n, Te) for n in n_vals], dtype=np.result_type(f, g, np.float64))\n",
    "    # L'axe temporel évolue de 0 à L x Te secondes\n",
    "    t = n_vals * Te\n",
    "    return t, y"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "57643863",
   "metadata": {},
   "source": [
    "On va tester notre fonction de convolution ! Pour cela, créez les deux signaux suivants :\n",
    "- $x(t) = \\Pi_{1}(t-t_0)$, avec $t_0 = 2$ \n",
    "- $h(t) = e^{-t}$ \n",
    "\n",
    "Les deux signaux ont une fréquence d'échantillonnage de $100 Hz$, et évoluent de 0 à 5 secondes.\n",
    "\n",
    "Créez les deux signaux et tracez les sur une même figure"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "186d4c27",
   "metadata": {},
   "outputs": [
    {
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A COMPLETER\n",
    "# Création et affichage des deux signaux\n",
    "\n",
    "# Axe temporel\n",
    "Fe = 100\n",
    "Te = 1/Fe\n",
    "t0 = 2\n",
    "\n",
    "t = np.arange(0, 5, Te)\n",
    "\n",
    "# Signaux\n",
    "x = np.zeros_like(t)\n",
    "x[np.abs(t-t0)<=0.5] = 1\n",
    "h = np.exp(-t)                   \n",
    "\n",
    "# Affichage des signaux\n",
    "plt.figure()\n",
    "plt.plot(t,x,label='x(t)')\n",
    "plt.plot(t,h,label='h(t)')\n",
    "plt.legend()\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "34fda742",
   "metadata": {},
   "source": [
    "Calculez $y(t) = x(t) \\ast h(t)$ et affichez le résultat."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "30df9ad6",
   "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 y(t) = x(t)*h(t) et affichage du résultat\n",
    "\n",
    "t_y, y = convolution(x,h,Te)\n",
    "\n",
    "plt.figure()\n",
    "plt.plot(t_y, y, label=\"y(t)\")\n",
    "plt.legend()\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dd0bd4ea",
   "metadata": {},
   "source": [
    "Bon, et pour finir, effectuez la convolution cette fois avec NumPy. Affichez sur une même figure les deux résultats obtenus."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "8fd4e799",
   "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 convolution avec NumPy et affichage des résultats de convolution\n",
    "y_np = np.convolve(x, h, mode='full') * Te # Il ne faut pas oublier de multiplier par Te\n",
    "\n",
    "plt.figure()\n",
    "plt.plot(t_y, y, label=\"y(t) (manuel)\")\n",
    "plt.plot(t_y, y_np, label=\"y(t) (NumPy)\")\n",
    "plt.legend()\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4452fe9d",
   "metadata": {},
   "source": [
    "Et si tout est bien codé, vous devriez avoir exactement la même courbe. Well done !"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fa5000e0",
   "metadata": {},
   "source": [
    "## Exercice 2 : J'adore mon signal, je voudrais l'avoir tout le temps !\n",
    "\n",
    "Pour ce deuxième exercice, on va transformer un signal bref en un signal périodique.\n",
    "\n",
    "Commencez par créer un signal triangulaire :\n",
    "\n",
    "\\begin{equation*}\n",
    "    x(t) = \\Delta(t) = 1-|t-1|\n",
    "\\end{equation*}\n",
    "\n",
    "Le signal évoluera entre 0 et 2 secondes, avec une fréquence d'échantillonage de $100 Hz$. Créez et affichez le signal."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "aa9b03e3",
   "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",
    "# Création et affichage du signal triangulaire\n",
    "Fe = 100\n",
    "Te = 1/Fe\n",
    "# Axe temporel\n",
    "t_x = np.arange(0,2,Te)\n",
    "\n",
    "# Signal triangulaire\n",
    "x = 1-np.abs(t_x-1)\n",
    "\n",
    "# Affichage\n",
    "plt.plot(t_x,x,label=\"x(t)\")\n",
    "plt.legend()\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9f81cc58",
   "metadata": {},
   "source": [
    "L'objectif maintenant va être de rendre ce signal périodique sur une durée de 0 à 10 secondes. Pour cela, on va créer le signal $h(t)$ approprié, tel que $y(t) = x(t) \\ast h(t)$ est le même signal que $x(t)$ mais périodique ($T=len(x)$) et évoluant entre 0 et 10 secondes."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0ace1d6c",
   "metadata": {},
   "source": [
    "**_QUESITON :_** Quel doit être le signal $h(t)$ pour construire le signal $y(t)$ souhaité ?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4b0dd384",
   "metadata": {},
   "source": [
    "**_REPONSE :_** Le signal $h(t)$ doit être un peigne de Dirac avec une période $T$ correspondant à la largeur de $x(t)$, soit ici 2 secondes."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3867b33c",
   "metadata": {},
   "source": [
    "Construisez le signal $h(t)$ approprié pour notre tâche et affichez le résultat.\n",
    "\n",
    "*Note : Au lieu de faire évoluer de 0 à 10 secondes, je vous conseille de faire évoluer de 0 à 10.01 secondes...*"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "e823b455",
   "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",
    "# Création de h(t) et affichage\n",
    "\n",
    "T = 2\n",
    "\n",
    "# Axe temporel\n",
    "t_h = np.arange(0,10.01,Te)\n",
    "\n",
    "# Signal h(t) peigne de Dirac\n",
    "h = np.zeros_like(t_h)\n",
    "h[t_h%T==0] = 1\n",
    "\n",
    "# Affichage de h(t)\n",
    "plt.plot(t_h,h,label=\"h(t)\")\n",
    "plt.legend()\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "26606017",
   "metadata": {},
   "source": [
    "Appliquez la convolution sur les signaux $x(t)$ et $h(t)$ et affichez le résultat."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "8a218cda",
   "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",
    "# Convolution entre x(t) et h(t) et affichage du résultat\n",
    "t_y, y = convolution(x, h, Te)\n",
    "\n",
    "plt.plot(t_y,y,label=\"y(t)\")\n",
    "plt.legend()\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "062e17c4",
   "metadata": {},
   "source": [
    "**_QUESTION :_** Est-ce que le résultat obtenu est celui attendu ?\n",
    "\n",
    "*Note : Regardez bien les axes et les valeurs*"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "62e11196",
   "metadata": {},
   "source": [
    "**_REPONSE :_** Le signal obtenu ressemble à celui attendu, mais on a un problème d'amplitude (0.01 en maximum au lieu de 1). Il y'a un facteur 100 de différence."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "737da814",
   "metadata": {},
   "source": [
    "Modifiez $h(t)$ afin de corriger le problème (si vous avez constaté un problème...).\n",
    "\n",
    "*Note : il y'a une différence entre l'analogique et le numérique. Ici, ça concerne l'échantillonage utilisé...*"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "685a09f7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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79dZb9eCDD2rEiBG6+OKL9fvf/16LFy/W97//fUknZ4/U1dVpwYIFGjVqlCoqKjR37lyVlZVp0qRJXjenXzioAG9EGVQCEFTGwoLnwW7p0qWaO3eufvCDH+jgwYMqKyvTv/zLv2jevHmx98ycOVMdHR2aNm2aDh06pGuvvVYbNmxQbm6u180BAABIG54Hu/z8fDU2NqqxsbHX94RCIc2fP1/z58/3+tcPCHobAABAPKs76rBXrAOeOwG8YfT8BwD9Zi0qEOwAAAACgmDnAr0NAIKMc5xNlMU2q/Uh2Dlgr1gAAOAk8HvFBpHVVA4AXjB2XcIplMU2qz3dBDsASHNWL1DpjrKgLwh2DriLBbxBcAAQVNaiAsHOBatr1QCAF7iJtYmy2GZ1jVuCHQCkOe5dbaIs6AuCnQPuYgFvWL2zBYD+spYVCHYAkOasXZhwEmUxzuj9KsEOANIcQ7E2URb0BcHOAQsUA94gOAAIKmtZgWDnAhclAEHGUKxNlMU2q9GAYOeAkx2AdMDNq02UJTVYywoEOwADjgsUAAwOgp0LLNUAIMis9TjgJMpim9WeboIdAKQ5qxeodEdZ0BcEOwADjm35AGBwEOxc4JoEIMgYirWJsthm9TEtgp2DEGc7wBM2T384jZtXmyhLarCWFQh2AAAAAUGwc4G7WQBBZqzDAadQFtusZgOCnQMOKsAbVk+AOIn62ERZUoO1rECwAwAACAiCnQvcNQEAgHhWswHBzgHPnQAesXoGBIB+spYVCHYAAAABQbBzgVXzAQBAPKvZgGDnwFjvKpCyrK7QDgD9xVAsAAAABgTBzgX6GgAAQDyr2YBg58Da/m9AqjL6KAoA9FvI2INbBDs3uCgBCDDuYW2iLMYZzQYEOwBIc/So2kRZ0BcEOwfcLQHe4AIFIKis9XgT7FxgqQYAQWbtwoSTKIttVrMBwQ4A0hxDsTZRFvQFwc4Bd7GAN6yu0A4A/WUtKhDsXOCaBCDIuIm1ibLYZjUbEOwAIM1ZvUClO8qCviDYOeJ+CfACFygAgWWsy5tg5wIXJQBBZuy6hFMoi21We7oJdg442QFIB1YvUOmOsqQGa1GBYAdgQMRflAgOADA4CHYucFECEGSMTthEWWyzGg0Idg44qACkA25ebaIsqcHajRHBDsCAiF+U2OrWOwAQNAQ7F7goAQgyaz0OOImy2GZ1Rx2CnQNOdgDSgdHrU9qjLKnBWlQg2AEYeFyhzLHa2wCgfwh2LnD+AwAA8axGA4Kdg5C5DlYgdcTfEFk9AaYzblgBb4SMPbdFsAMAAAgIgp0L3NgCAIB4Vnu9CXYOjPWuAiklfpkgqyfAdEZJAG9YiwoEOwAAgIAg2LlBdwMAAEhgMxsQ7BwwFAv0XeKsWJsnwHTGOnaAN6xlBYKdC5z+AABAPKv3RgQ7AACAgCDYOWCBYqDvEoZijd7ZpjNKAnjDWlYg2LnARQkAAMSzGg0IdgAAAAFBsHNiq3cVSCnRXv4MGxiJADxiLCsQ7FxgWQAAQWZtuQacRFlssxoNCHYAkOasXqDSHWVBXwxIsPvrX/+q7373uxo2bJjy8vI0duxYvf3227GfR6NRzZs3T8OHD1deXp6qqqr00UcfDURT+oW7JaDv4nu66fW2h0WjAW9YywqeB7vPPvtMEydO1JAhQ/Tb3/5W77//vh555BGdc845sfcsWrRIS5Ys0cqVK9XS0qKhQ4equrpax44d87o5nuD0ByDIGIq1ibLYZvXmKMvrD1y4cKHKy8u1evXq2GsVFRWxP0ejUTU2NmrOnDm67bbbJElPP/20wuGw1q9fr8mTJ3vdJACAAzpUbaIs6AvPe+xefPFFjR8/Xt/+9rdVUlKicePG6Yknnoj9fO/evWptbVVVVVXstcLCQk2YMEHNzc09fmZnZ6cikUjC12AIcRsL9FnCrFiuUOZQE8Ab1qKC58HuT3/6k1asWKFRo0bpd7/7nf71X/9VP/zhD/XUU09JklpbWyVJ4XA44e+Fw+HYz87U0NCgwsLC2Fd5ebnXzXbECRBAkFm7MOEkymKb1WzgebDr7u7WFVdcoYceekjjxo3TtGnTdM8992jlypV9/szZs2ervb099rV//34PW9w7DioA6cDqBSrdUZbUEPgtxYYPH66LLroo4bUxY8Zo3759kqTS0lJJUltbW8J72traYj87U05OjgoKChK+ABjHVQkABp3nwW7ixInavXt3wmt79uzRBRdcIOnkRIrS0lI1NTXFfh6JRNTS0qLKykqvm+MJrk8AgoyhWJsoi21Ws4Hns2JnzJiha665Rg899JC+853vaOvWrVq1apVWrVol6eSEhLq6Oi1YsECjRo1SRUWF5s6dq7KyMk2aNMnr5vQLJzsA6YChWJsoS2qwlhU8D3ZXXXWVnn/+ec2ePVvz589XRUWFGhsbNWXKlNh7Zs6cqY6ODk2bNk2HDh3Stddeqw0bNig3N9fr5gDwSfwaTwQHe6gJEEyeBztJuuWWW3TLLbf0+vNQKKT58+dr/vz5A/HrPceq+QAAIJ7VbMBesQ6M9a4CAABjrA3FEuwADIj4m1mrW++kM2oCBBPBDgAAICAIdg7YUgwAADgJ/ALFACCxV6x11AQIJoKdC5wAAQBAPKvZgGDnwFbnKpBaEidPwBpqAnjD2lNbBDsXmD0GAADiWc0GBDsAAICAINg5Mda9CqSSxC3FbN7ZpjNqAgQTwc4Fzn8AACCe1WxAsAMAAAgIgp0Da4sOAqmEWbG2URPAG9Y2MyDYucAJEAAAxGMoFgAAAAOKYOfAWO8qkFLYUsw2agJ4w1pUINi5wAkQAADEsxoNCHYAAAABQbBzYK17FUgpCV3dVu9t0xglATxh7bEtgp0LVveDAwAA/rC6ewvBDgAAICAIdg6sda8CqYRZsbYxEgF4w1pUINi5wEUJAADEsxoNCHYO2FIMAAA4YUsxAGmBvWJtYyQCCCaCHQAAQLKM3hwR7BwY610FAADGWIsKBDsAAyJ+jSeG/eyhJEAwEexcsLoIIQAA8IfVJYMIdg4YigUAAE6sZQWCHYABkbhTrM0723TGSAQQTAQ7Fzj/AQCAeFazAcHOkbH+VQAAYIytrECwc8FoKAdMS1igmIPIHEoC9I/VY4hgBwBpzuoFCkDyCHYOrM10AVJJwuQJkoM51ATwhrWsQLBzgRMgAACIZzUbEOwAIM1ZvUABSB7BzoGx3lUgpSRsKcZTXOZQE8Ab1rICwc4FToAAACCe1WxAsAOANGf1AgUgeQQ7B9ZmugCpime4DKImgCesZQWCnQtclAAAQDyr2YBgBwDpzugFCkDyCHYOQubmugCpw+rdLE6iPIA3rGUFgp0LnAABAEA8q9mAYAcAac7qBQpA8gh2DqzNdAFSSfwSGgzL2kNNAG9YywoEOzc4AwIIsCjnOCB5Ro8bgh0AAEBAEOwcGOtdBVJK/M0sOxvYQ00AbzAUm4I4/QEIMqMjSoBpVg8bgp2DkLUYDgAATGEdOwBpIf5ulh4he6gJEEwEOxc4AQIIMk5xQPKsZgOCHQAAQF/ZGokl2AEYGImzYmENNQGCiWDnAssCAAgyq0NKgGVWF/Ym2DlgUiwAAHBiLSoQ7AAMiMS9Ym3e2aYzagIEE8HOBc5/AIKMx02A5Fk9agh2DqwtOggAAGyxtpkBwc4Fq6kcsIxZsbYxEgH0j9VjiGAHAGnO6gUKQPIIdg6M9a4CAABjrEUFgp0L3M0C/cMxBCBorJ7WBjzY/epXv1IoFFJdXV3stWPHjqm2tlbDhg3T2WefrZqaGrW1tQ10UwAAAAJtQIPdtm3b9Pjjj+vSSy9NeH3GjBl66aWX9Nxzz2njxo06cOCAbr/99oFsSp9Y614FUkniOmlW723TF72ogDesPbY1YMHuyJEjmjJlip544gmdc845sdfb29v15JNPavHixfrGN76hK6+8UqtXr9Zbb72lLVu2DFRz+oU1ngAAQDyri3wPWLCrra3VzTffrKqqqoTXt2/frhMnTiS8Pnr0aI0YMULNzc0D1RwAQC+sXqAAJC9rID503bp12rFjh7Zt2/aFn7W2tio7O1tFRUUJr4fDYbW2tvb4eZ2dners7Ix9H4lEPG1vb6x1rwKpJGEdO3KDOYxEAN6wFhU877Hbv3+/7rvvPj3zzDPKzc315DMbGhpUWFgY+yovL/fkc13j/AcgwDjFAcHhebDbvn27Dh48qCuuuEJZWVnKysrSxo0btWTJEmVlZSkcDuv48eM6dOhQwt9ra2tTaWlpj585e/Zstbe3x77279/vdbMBAABSnudDsddff73efffdhNfuuusujR49Wj/5yU9UXl6uIUOGqKmpSTU1NZKk3bt3a9++faqsrOzxM3NycpSTk+N1U7+Utf3fgFTCnFjbGB4HvGEtK3ge7PLz83XJJZckvDZ06FANGzYs9vrdd9+t+vp6FRcXq6CgQPfee68qKyv11a9+1evmeILzH4AgI+QBybN63AzI5Ikv8+ijjyojI0M1NTXq7OxUdXW1HnvsMT+aAgAAEBiDEuxef/31hO9zc3O1fPlyLV++fDB+fZ/Z6lwFUguzYm2jJIA3rGUF9op1gTWeAAQZS58AybN63BDsAAAAAoJg58Ra/yqQQuLvZun1toeaAB4xlhUIdi5w/gMQZJzjgORZPW4Idg5C1mI4AAAwxVpWINgBGBAJs2L9awZ6QU2AYCLYucAJEECQcY4Dkmf1uCHYOTC2SwgAADDGWlYg2AEYEAl7xVq9tU1j1AQIJoKdC5wAAQQZ5zggeVaPG4KdA2O9qwAAwBhrWYFg54LVbUMA0+JuZzmGLKImQH9YPa8R7AAg7dm8QAFIHsHOgbWZLgAAwBZrWYFg54LVByQBy6K9fgMLOK8B/WP1GCLYAUCas3qBApA8gp0Da/u/AQAAW6xlBYIdgAHBXrG2URMgmAh2AJDmGIoFgoNg58DaTBcglcSv8URwsIeaAN6wlhUIdi5EOQMCCDCrC60CllnNBgQ7AACAgCDYOTDWuwqklMTJEzbvbNMZNQG8wVBsCuL0ByDIjI4oAaZZPW4IdgAAAAFBsHNirX8VSCHxN7NW72zTGTUBvGIrKxDsXOAECCDIOMUBybN63BDsAAAAAoJg58BW5yqQWthSzDZGIgBvWHtqi2DnAssCAAgyQh6QPKvHDcEOAAAgIAh2Dqx1rwKpJHGvWKO3tmmMkQjAG9aiAsHOBa5JAIKMkAckz+pxQ7BzEDKXwwEAgCXWRvcIdgAGBrNiTWMkAggmgp0LnP8ABBonOSBpVm+OCHYOrHWvAgAAW6w9tkWwc8FqKgcsi/b6DQCkPqunNYIdAKQ5qxcoAMkj2Dmw1bkKAACssfbYFsHOFe5ngWTFL0psdb2ndMYjJkA/GT2ICHYAkObYGQQIDoKdA2vdqwAAwBZrUYFg5wI3s0Dy4o8bjiF7GB4H+sfqEUSwA4A0Z/UCBSB5BDsHIcZiAQCAA2tZgWDnAsNIQPLiDxuOIXsYKgf6x+pxQ7ADAAAICIIdAABAQBDsXGD2GJC8hKE+/5qBXkR7+TMAd6xmA4IdAABAQBDsHBib6AKklPi7WXY2sIeaAN6wlhUIdi5w/gMQZIQ8IHlWDxuCHQAAQEAQ7ByEzO0AB6QOJk/YRk1SC72qdlnLCgQ7FzicAAQZ5zggeVaPG4IdAABAQBDsHFib6QKkKkaR7KEmqYV62WUtKxDsXOCAAhBonOOApFnNBgQ7AACAgCDYOTDWuwqklMRZfEZvbdMaNUklVMsua1mBYOeC1f3gAMALnOOA5Fk9bgh2Dqw9EAkAAGyxlhUIdm7YDOWAaQkDsRxD5lCT1MICxQYZLQnBDgDSHJkBCA6CnQNr24QAAABbQsbGYgl2LnAzCySPvWJtoyaphXrZY7Umnge7hoYGXXXVVcrPz1dJSYkmTZqk3bt3J7zn2LFjqq2t1bBhw3T22WerpqZGbW1tXjcFAOACQ7FAcHge7DZu3Kja2lpt2bJFr7zyik6cOKEbb7xRHR0dsffMmDFDL730kp577jlt3LhRBw4c0O233+51U/rNWO8qAAAwxlpUyPL6Azds2JDw/Zo1a1RSUqLt27fra1/7mtrb2/Xkk09q7dq1+sY3viFJWr16tcaMGaMtW7boq1/9qtdN6jdmIwHJi1/jiUPInsShcgpkUUKNKJE5VrPBgD9j197eLkkqLi6WJG3fvl0nTpxQVVVV7D2jR4/WiBEj1Nzc3ONndHZ2KhKJJHwBAAAg0YAGu+7ubtXV1WnixIm65JJLJEmtra3Kzs5WUVFRwnvD4bBaW1t7/JyGhgYVFhbGvsrLywey2QAA+I7HgVKEsToNaLCrra3Vrl27tG7dun59zuzZs9Xe3h772r9/v0ctdMdmZytgG0N9tsUPIxkdUUp7HEO2WT1uPH/G7rTp06fr5Zdf1htvvKHzzz8/9nppaamOHz+uQ4cOJfTatbW1qbS0tMfPysnJUU5OzkA1FQAAIBA877GLRqOaPn26nn/+eb366quqqKhI+PmVV16pIUOGqKmpKfba7t27tW/fPlVWVnrdnH6xtuggACB9cAlKDdY2M/C8x662tlZr167VCy+8oPz8/Nhzc4WFhcrLy1NhYaHuvvtu1dfXq7i4WAUFBbr33ntVWVlpckasZLe7FbCMvWJti/byZ9jBrFjbrJbE82C3YsUKSdJ1112X8Prq1av1ve99T5L06KOPKiMjQzU1Ners7FR1dbUee+wxr5sCAACQVjwPdm7WdcnNzdXy5cu1fPlyr3+9p2x1rgIA0glDsanBWp3YK9YFq92tgGXsFWsbw3xA/1g9bgh2AAAAAUGwc2CtexUAANhiLSoQ7Fywuh8cYFv8ArgcQ9ZEmRebUjiE7LG6aDTBDgAAICAIdg6sda+id/QI2UNJjKM+KcVq7xDsPbZFsHOBwwlAkBHCgeRZPW4IdgAAAAFBsHPAXrGpw+qdUzpjnTTbKElq4Riyy9pesQQ7NzigAAQYpzggOAh2AAAAAUGwc8BIbOqgx8Ge+Fl8zOizh6G91EK57LKWFQh2LnBRAhBkLBcEJM/qcUOwc2AshAMAAGOsZQWCnQtGQzniWL1zSmfMirWNkYjUwjnOHqsVIdgBQJqzeoECkDyCnRNrT0QCAABbjGUFgp0L9IDbR4nsia8Jx5A9DJXbl1Aj/5qBXlg9bgh2AAAAAUGwc2CrcxUAkE6MjfChF9bKRLBzgdlj9lntEk9nDCPZFu3lz7CD4XLbrGYDgh0AAEBAEOwc0A0OAPAL16DUYK1OBDsX6AK3z2qXeDpL2CuWg8ic+JpQH5uijJebZvWwIdgBAAAEBMHOQcjcXBcAQLqwNsSHnlnLCgQ7F4z2tiKO1S7xtMasWNOoiX2JM8upmDVWK0KwAwAACAiCnQO6wQEAfuEalBqs1Ylg5wLDfEDyor1+AxNY/NY8Fii2zWpNCHYAAAABQbBzYKx3FQCQRqwN8aFn1spEsHPFaH8rYqx2iaezhAVwOYbMSVhAmvqYxH7L1tmsCsEOAAAgIAh2DugGTx30ONiTsBsS5TGHmtgXfw1i2ze7rGUFgp0LHE8AgoxzHJA8q8cNwQ4AACAgCHYOrO3/ht5ZvXNKZzz4bRvHTGqhXHaFjI3FEuxc4IACEGSEPJuoi21W60OwAwAACAiCnZNTvavMRrKPCtnDrFjbKElq4Riyx+pqDAQ7AEhzVi9Q6Y66oC8Idg5sPQ4JAACsMTZ3gmDnBvdM9jFcbg9bitmWUB/KY1LizHKKZI3V44ZgBwAAEBAEOwfW1qYBAAC2WFvzlmDngtXu1nR25tArJbKHWbG2RXv5M+yI9voNLLBaEoIdAABAQBDsHNjqXAUAANZYe2qLYOeC1e7WdHbm0B5DfQaxV6xpUcZi7eMYMs3qdYdgBwAAEBAEOwfWulcBAIAt1qICwc4FFr+15wsVoUTmJCyoyjFkEAtIWxdfFw4he6weNwQ7AACAgCDYOWAoFgAAOLGWFQh2SElfXKDYZpd4Oosyo8+0KCPl5rFXrHFGS0KwAwAACAiCnQNr+78BAABbrGUFgp0LDFPYc2ZJqJE9DPXZxvrE9rHfsm1WS0KwAwAACAiCnQNrM10AAIAt1rICwc4FZiPZ84W9Yv1pBhwkLq5KhaxJHCqnPhbF14UK2WP1uCHYAQAABATBDgAAICAIdi4Y7W1Na2cOj1vtEk9nLFBsW8JQuY/tQO8SZ8VSJWusVoRgBwAAEBC+Bbvly5dr5MiRys3N1YQJE7R161a/mtKr0KmpLtwo2cPkCftYg8s21hm0jxrZdromIWPTYn0Jdr/+9a9VX1+vBx54QDt27NBll12m6upqHTx40I/mAAAABIIvwW7x4sW65557dNddd+miiy7SypUrddZZZ+nf/u3f/GgOAABAIGQN9i88fvy4tm/frtmzZ8dey8jIUFVVlZqbmwe7OY5Od65+fqJL//1Jh69tQaLjXd0J3+/79KiOHPubT61BT44e/596fNpxnGPImI8Pd8b+fIxznHl/+exzdXUzHmtJR+fJc5ytgVgfgt0nn3yirq4uhcPhhNfD4bA+/PDDHv9OZ2enOjv/5yQUiUQGtI2nnR4237n/kK57+PVB+Z3om9sfe8vvJsDBstf+oGWv/cHvZqAXH7Ye5hxn3P95YovfTUCKGPRg1xcNDQ36xS9+Mei/d/wFxbrwvKE6GOn88jfDF4c7/6b8nJT43zgtHT51R0uNbKI+9h3u/JvOzsky1yuEk4qGDtHEvzvX72YkGPSj+dxzz1VmZqba2toSXm9ra1NpaWmPf2f27Nmqr6+PfR+JRFReXj6g7ZSk0sJcNf3ougH/PQAAAF4Y9MkT2dnZuvLKK9XU1BR7rbu7W01NTaqsrOzx7+Tk5KigoCDhCwAAAIl86X+vr6/X1KlTNX78eF199dVqbGxUR0eH7rrrLj+aAwAAEAi+BLs77rhDH3/8sebNm6fW1lZdfvnl2rBhwxcmVAAAAMC9UDQFN6CLRCIqLCxUe3s7w7IAACDQksk97BULAAAQEAQ7AACAgCDYAQAABATBDgAAICAIdgAAAAFBsAMAAAgIgh0AAEBAEOwAAAACgmAHAAAQEAQ7AACAgCDYAQAABATBDgAAICCy/G5AX0SjUUknN8UFAAAIstN553T+cZKSwe7w4cOSpPLycp9bAgAAMDgOHz6swsJCx/eEom7inzHd3d06cOCA8vPzFQqFBuz3RCIRlZeXa//+/SooKBiw34O+o0a2UR/bqI991Mi2wapPNBrV4cOHVVZWpowM56foUrLHLiMjQ+eff/6g/b6CggIOKOOokW3UxzbqYx81sm0w6vNlPXWnMXkCAAAgIAh2AAAAAUGwc5CTk6MHHnhAOTk5fjcFvaBGtlEf26iPfdTINov1ScnJEwAAAPgieuwAAAACgmAHAAAQEAQ7AACAgCDYAQAABATBzsHy5cs1cuRI5ebmasKECdq6davfTYKkhoYGXXXVVcrPz1dJSYkmTZqk3bt3+90s9OJXv/qVQqGQ6urq/G4K4vz1r3/Vd7/7XQ0bNkx5eXkaO3as3n77bb+bBUldXV2aO3euKioqlJeXpwsvvFC//OUvXe0TioHxxhtv6NZbb1VZWZlCoZDWr1+f8PNoNKp58+Zp+PDhysvLU1VVlT766CNf2kqw68Wvf/1r1dfX64EHHtCOHTt02WWXqbq6WgcPHvS7aWlv48aNqq2t1ZYtW/TKK6/oxIkTuvHGG9XR0eF303CGbdu26fHHH9ell17qd1MQ57PPPtPEiRM1ZMgQ/fa3v9X777+vRx55ROecc47fTYOkhQsXasWKFVq2bJk++OADLVy4UIsWLdLSpUv9blra6ujo0GWXXably5f3+PNFixZpyZIlWrlypVpaWjR06FBVV1fr2LFjg9xSljvp1YQJE3TVVVdp2bJlkk7uT1teXq57771Xs2bN8rl1iPfxxx+rpKREGzdu1Ne+9jW/m4NTjhw5oiuuuEKPPfaYFixYoMsvv1yNjY1+NwuSZs2apTfffFObNm3yuynowS233KJwOKwnn3wy9lpNTY3y8vL07//+7z62DJIUCoX0/PPPa9KkSZJO9taVlZXpRz/6kX784x9Lktrb2xUOh7VmzRpNnjx5UNtHj10Pjh8/ru3bt6uqqir2WkZGhqqqqtTc3Oxjy9CT9vZ2SVJxcbHPLUG82tpa3XzzzQnHEWx48cUXNX78eH37299WSUmJxo0bpyeeeMLvZuGUa665Rk1NTdqzZ48k6Z133tHmzZt10003+dwy9GTv3r1qbW1NONcVFhZqwoQJvmSGrEH/jSngk08+UVdXl8LhcMLr4XBYH374oU+tQk+6u7tVV1eniRMn6pJLLvG7OThl3bp12rFjh7Zt2+Z3U9CDP/3pT1qxYoXq6+v105/+VNu2bdMPf/hDZWdna+rUqX43L+3NmjVLkUhEo0ePVmZmprq6uvTggw9qypQpfjcNPWhtbZWkHjPD6Z8NJoIdUlptba127dqlzZs3+90UnLJ//37dd999euWVV5Sbm+t3c9CD7u5ujR8/Xg899JAkady4cdq1a5dWrlxJsDPgN7/5jZ555hmtXbtWF198sXbu3Km6ujqVlZVRH3wphmJ7cO655yozM1NtbW0Jr7e1tam0tNSnVuFM06dP18svv6zXXntN559/vt/NwSnbt2/XwYMHdcUVVygrK0tZWVnauHGjlixZoqysLHV1dfndxLQ3fPhwXXTRRQmvjRkzRvv27fOpRYh3//33a9asWZo8ebLGjh2rO++8UzNmzFBDQ4PfTUMPTucCK5mBYNeD7OxsXXnllWpqaoq91t3draamJlVWVvrYMkgnH1SdPn26nn/+eb366quqqKjwu0mIc/311+vdd9/Vzp07Y1/jx4/XlClTtHPnTmVmZvrdxLQ3ceLELywRtGfPHl1wwQU+tQjxjh49qoyMxMtzZmamuru7fWoRnFRUVKi0tDQhM0QiEbW0tPiSGRiK7UV9fb2mTp2q8ePH6+qrr1ZjY6M6Ojp01113+d20tFdbW6u1a9fqhRdeUH5+fuwZhsLCQuXl5fncOuTn53/hecehQ4dq2LBhPAdpxIwZM3TNNdfooYce0ne+8x1t3bpVq1at0qpVq/xuGiTdeuutevDBBzVixAhdfPHF+v3vf6/Fixfr+9//vt9NS1tHjhzRH/7wh9j3e/fu1c6dO1VcXKwRI0aorq5OCxYs0KhRo1RRUaG5c+eqrKwsNnN2UEXRq6VLl0ZHjBgRzc7Ojl599dXRLVu2+N0kRKNRST1+rV692u+moRd///d/H73vvvv8bgbivPTSS9FLLrkkmpOTEx09enR01apVfjcJp0Qikeh9990XHTFiRDQ3Nzf6la98Jfqzn/0s2tnZ6XfT0tZrr73W43Vn6tSp0Wg0Gu3u7o7OnTs3Gg6Hozk5OdHrr78+unv3bl/ayjp2AAAAAcEzdgAAAAFBsAMAAAgIgh0AAEBAEOwAAAACgmAHAAAQEAQ7AACAgCDYAQAABATBDgAAICAIdgAAAAFBsAMAAAgIgh0AAEBAEOwAAAAC4v8D7LG830k0HuIAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A COMPLETER\n",
    "# Modification de h(t) pour corriger y(t)\n",
    "\n",
    "t_h = np.arange(0,10.01,Te)\n",
    "h = np.zeros_like(t_h)\n",
    "h[t_h%T==0] = Fe # Afin de garantir une amplitude correcte en sortie, il faut multiplier le peigne de Dirac par Fe (ou diviser par Te)\n",
    "\n",
    "plt.plot(t_h,h,label=\"h(t)\")\n",
    "plt.legend()\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "# Convolution entre x(t) et h(t) avec T = 2 secondes\n",
    "t_y, y = convolution(x, h, Te)\n",
    "\n",
    "plt.plot(t_y,y,label=\"y(t)\")\n",
    "plt.legend()\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1459d869",
   "metadata": {},
   "source": [
    "Modifiez maintenant $h(t)$ en augmentant la période ($T = 3 s$), puis en diminuant la période ($T = 1.5 s$). Effecutez les convolutions entre $x(t)$ et les nouvelles versions de $h(t)$ et affichez les résultats."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "60a1458e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A COMPLETER\n",
    "# Modification de h(t) avec T = 3 secondes\n",
    "T = 3\n",
    "t_h = np.arange(0,10.01,Te)\n",
    "h = np.zeros_like(t_h)\n",
    "h[t_h%T==0] = Fe\n",
    "\n",
    "plt.figure()\n",
    "plt.plot(t_h,h,label=\"h(t)\")\n",
    "plt.legend()\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "# Convolution entre x(t) et h(t) avec T = 3 secondes\n",
    "t_y, y = convolution(x, h, Te)\n",
    "\n",
    "plt.figure()\n",
    "plt.plot(t_y,y,label=\"y(t)\")\n",
    "plt.legend()\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "c0fd6510",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A COMPLETER\n",
    "# Modification de h(t) avec T = 1.5 secondes\n",
    "T = 1.5\n",
    "t_h = np.arange(0,10.01,Te)\n",
    "h = np.zeros_like(t_h)\n",
    "h[t_h%T==0] = Fe\n",
    "\n",
    "plt.figure()\n",
    "plt.plot(t_h,h,label=\"h(t)\")\n",
    "plt.legend()\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "# Convolution entre x(t) et h(t) avec T = 1.5 secondes\n",
    "t_y, y = convolution(x, h, Te)\n",
    "\n",
    "plt.figure()\n",
    "plt.plot(t_y,y,label=\"y(t)\")\n",
    "plt.legend()\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "062ce7e4",
   "metadata": {},
   "source": [
    "**_QUESTION :_** Est-ce que les produits de convolution sont périodiques ?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "524139d5",
   "metadata": {},
   "source": [
    "**_REPONSE :_**\n",
    "- Pour $T = 3 s$, le signal issu de la convolution $y(t)$ est bien périodique toutes les 3 secondes.\n",
    "- Pour $T = 1.5 s$, le signal est théoriquement périodique. Cependant, $h(t)$ n'évolue pas indéfiniement mais dans un intervalle de temps défini. De ce fait, on a des effets de bords qui cassent la périodicité (entre 0 et 0.5 secondes,  puis entre 10.5 et 12 secondes). Entre 0.5 et 10.5 secondes, on retrouve bien un signal périodique en $T = 1.5 s$."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4d478bdb",
   "metadata": {},
   "source": [
    "## Exercice 3 : Plancherel ?! J'ai déjà entendu cette théorie...\n",
    "\n",
    "Pour ce 3ème exercice, construisez les signaux suivants : \n",
    "- $x(t) = sin(2 \\pi f_0 t)$, avec $f_0 = 2 Hz$.\n",
    "- $h(t) = sin(2 \\pi f_1 t)$, avec $f_1 = 5 Hz$.\n",
    "\n",
    "Les signaux évolueront entre 0 et 5 secondes, avec une fréquence d'échantillonage de $100 Hz$.\n",
    "\n",
    "Créez ces deux signaux et affichez les sur 2 figures différentes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "71c1a68f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A COMPLETER\n",
    "# Création de x(t) et h(t) et affichage des signaux\n",
    "\n",
    "Fe = 1000\n",
    "Te = 1/Fe\n",
    "f0 = 2\n",
    "f1 = 5\n",
    "\n",
    "# Création de l'axe temporel\n",
    "t = np.arange(0,5,Te)\n",
    "\n",
    "# Création des signaux\n",
    "x = np.sin(2*np.pi*f0*t)\n",
    "h = np.sin(2*np.pi*f1*t)\n",
    "\n",
    "# Affichage des signaux\n",
    "plt.subplots(1,2,figsize=(12,4))\n",
    "\n",
    "plt.subplot(121)\n",
    "plt.plot(t,x)\n",
    "plt.title(\"x(t)\")\n",
    "\n",
    "plt.subplot(122)\n",
    "plt.plot(t,h)\n",
    "plt.title(\"h(t)\")\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bd31ecf8",
   "metadata": {},
   "source": [
    "Effectuez la transformée de Fourier réelle sur les deux signaux et affichez les spectres d'amplitudes des deux signaux (sur 2 figures séparées)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "647ae294",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A COMPLETER\n",
    "# FFT réelle de x(t) et h(t) et affichage des spectres d'amplitude\n",
    "\n",
    "# Calcul de la FFT réelle des signaux\n",
    "N, M = len(x), len(h)\n",
    "X = np.fft.rfft(x) \n",
    "H = np.fft.rfft(h) \n",
    "\n",
    "# Calcul des axes fréquentiels des FFT\n",
    "freq_X = np.fft.rfftfreq(N,Te)\n",
    "freq_H = np.fft.rfftfreq(M,Te) \n",
    "\n",
    "# Récupération des amplitudes de X et H\n",
    "amplitude_X = np.abs(X) * 2 / N\n",
    "amplitude_H = np.abs(H) * 2 / M\n",
    "\n",
    "# Affichage des spectres d'amplitude\n",
    "plt.subplots(1,2,figsize=(12,4))\n",
    "\n",
    "plt.subplot(121)\n",
    "plt.stem(freq_X,amplitude_X, markerfmt=\" \")\n",
    "plt.title(\"Spectre d'amplitude de X(f)\")\n",
    "\n",
    "plt.subplot(122)\n",
    "plt.stem(freq_H,amplitude_H, markerfmt=\" \")\n",
    "plt.title(\"Spectre d'amplitude de H(f)\")\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4a8b2705",
   "metadata": {},
   "source": [
    "**_QUESTION :_** Que devrait donner théoriquement la convolution entre $x(t)$ et $h(t)$\n",
    "\n",
    "*Indice : C'est quoi le titre de l'exo ?*"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "64a509a4",
   "metadata": {},
   "source": [
    "**_REPONSE :_** D'après le théorème de Plancherel :\n",
    "\n",
    "\\begin{equation*}\n",
    "    x(t) \\ast h(t) \\leftrightarrow\tX(f) . H(f)\n",
    "\\end{equation*}\n",
    "\n",
    "On voit ici sur les spectres d'amplitude que les deux signaux ont des fréquences différentes ($f_0 = 2 Hz$ et $f_1 = 5 Hz$), sans aucune autre composante d'une autre fréquence. De ce fait, la multiplication de $X(f)$ et $H(f)$ devrait donner un signal sans aucune fréquence, donc un signal plat nul après FFT inverse."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "61c664c0",
   "metadata": {},
   "source": [
    "Effectuez la convolution entre $x(t)$ et $h(t)$ et vérifiez que votre hypothèse est bien confirmée.\n",
    "\n",
    "**ATTENTION : x(t) et h(t) ! Pas X(f) et H(f) !**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "c49362dd",
   "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",
    "# Convolution entre x(t) et h(t) et affichage du résultat\n",
    "t_y, y = convolution(x, h, Te)\n",
    "\n",
    "plt.plot(t_y,y,label=\"y(t)\")\n",
    "plt.legend()\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e1afe712",
   "metadata": {},
   "source": [
    "**_QUESTION :_** Est-ce que le résultat obtenu est conforme à ce qui était attendu ?\n",
    "\n",
    "*Note : n'hésitez pas à tracer les signaux $x(t)$ et $y(t)$ sur une même figure pour mieux visualiser si besoin*"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "61f67631",
   "metadata": {},
   "source": [
    "**_REPONSE :_** Pas totalement. En théorie, on devrait avoir un signal plat car les deux signaux $x(t)$ et $h(t)$ sont des sinusoïdes pures. Cependant, entre analogique et numérique, il y'a une différence. De ce fait, la convolution entre les deux donne un signal beaucoup plus faible avec une amplitude max de 0.04 contre 1. La forme de $y(t)$ ressemble à une somme de sinusoïdes, sûrement de fréquences $f_0$ et $f_1$."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "14c8af07",
   "metadata": {},
   "source": [
    "Pour vérifier le théorème de Plancherel, reproduisez le même signal y(t) obtenu en passant par le produit des FFT. Pour cela :\n",
    "- Calculez les FFT réelles de $x(t)$ et $h(t)$ (en précisant en paramètre le nombre de bins $n=len(x)+len(h)-1$)\n",
    "- Calculez $Y(f) = X(f).H(f)$\n",
    "- Calculez la FFT inverse réelle de $Y(f)$ et divisez le résultat par la fréquence d'échantillonnage $f_e$.\n",
    "\n",
    "Tracez ensuite les deux signaux sur une même figure pour vérifier que vous obtenez le même résultat."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "bb7f7037",
   "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",
    "# Vérification du théorème de Plancherel\n",
    "N, M = len(x), len(h)\n",
    "L = N + M - 1\n",
    "\n",
    "# FFT réelles de x et h\n",
    "X = np.fft.rfft(x, n=L)\n",
    "H = np.fft.rfft(h, n=L)\n",
    "\n",
    "# Produit entre X et H\n",
    "Y = X*H\n",
    "\n",
    "# FFt réelle inverse de Y\n",
    "y_freq = np.fft.irfft(Y, n=L) * Te\n",
    "\n",
    "# Affichage des résultats\n",
    "plt.plot(t_y,y,label=\"y(t) via convolution\")\n",
    "plt.plot(t_y,y_freq, label=\"y(t) via produit des FFT\")\n",
    "plt.legend()\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bea718ac",
   "metadata": {},
   "source": [
    "Normalement, vous obtenez exactement la même courbe que celle faite par convolution."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3a43c249",
   "metadata": {},
   "source": [
    "Répétez les convolutions entre $x(t)$ et $h(t)$ en modifiant $f_1 = 5, 10 , 20 , 50 Hz$ et tracez les signaux $y(t)$ obtenus."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "85c9a3bc",
   "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",
    "# Convolution entre x(t) et h(t) avec f1 = [5, 10, 20, 50] Hz\n",
    "f1_valeurs = [5,10,20,50]\n",
    "\n",
    "for f1 in f1_valeurs:\n",
    "    h = np.sin(2*np.pi*f1*t)\n",
    "    t_y, y = convolution(x, h, Te)\n",
    "    plt.plot(t_y,y,label=f\"y(t) (f1 = {f1} Hz)\")\n",
    "\n",
    "plt.legend()\n",
    "plt.tight_layout()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "097c522d",
   "metadata": {},
   "source": [
    "**_QUESTION :_** Que constatez-vous ? Quelle serait potentiellement l'explication de ces résultats ?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "453a3961",
   "metadata": {},
   "source": [
    "**_REPONSE :_** Plus $f_1$ est grand (et donc $f_1$ éloigné de $f_0$), plus le produit de convolution entre $x(t)$ et $h(t)$ est faible. Cela est dû à une fuite spectrale lors de la convolution. Concrètement, nos signaux sont bornés et non infinis. De ce fait, lorsque la convolution est effectuée, l'intersection entre les deux signaux peuvent comparer deux extraits de signaux avec des périodes non complètes, ce qui explique les résidus. En TF, l'algorithme FFT produit une fuite spectrale, et donc il y'a des amplitudes non nulles autour de $f_0$ et $f_1$. De ce fait, en multipliant les deux TF, on a un résultat non nul.\n",
    "\n",
    "Lorsque les fréquences $f_0$ et $f_1$ s'éloignent, d'un point de vue de la TF, on a des pics plus éloignés, et donc la fuite spectrale a moins d'impact, ce qui atténue les amplitudes après multiplication."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d2148f07",
   "metadata": {},
   "source": [
    "## Exercice 4 : HEEEEEEE OOOOHHHHH\n",
    "\n",
    "J'ai trouvé une superbe musique pas très connue, mais je la trouve un peu plate... J'aimerai avoir un peu de reverbe dessus (de l'écho comme dans un grand batîment). Vous pouvez m'aider ?\n",
    "\n",
    "Chargez le fichier *audio.wav* et tracez le spectre audio."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "2cd4530e",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/tmp/ipykernel_23469/3971863886.py:4: WavFileWarning: Chunk (non-data) not understood, skipping it.\n",
      "  freq_audio, extrait_audio = wavfile.read(\"audio.wav\")\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Fréquence d'échantillonage de l'audio : 44100 Hz\n"
     ]
    },
    {
     "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\n",
    "from scipy.io import wavfile\n",
    "freq_audio, extrait_audio = wavfile.read(\"audio.wav\")\n",
    "print(f\"Fréquence d'échantillonage de l'audio : {freq_audio} Hz\")\n",
    "\n",
    "# Reconstruction de l'axe temporel\n",
    "t_extrait_audio = np.arange(0, len(extrait_audio)/freq_audio, 1/freq_audio)\n",
    "\n",
    "# Tracé du signal audio\n",
    "plt.plot(t_extrait_audio, extrait_audio)\n",
    "plt.title(\"Audio\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "afcb92b9",
   "metadata": {},
   "source": [
    "Pour créer de la reverb ici, on va utiliser ce qu'on a fait durant tout le TP : la convolution. Pour cela, on va utiliser une réponse impulsionnelle enregistrée dans un endroit avec de l'écho. Ici, on a le fichier *eglise.wav* qui est une réponse impulsionnelle enregistrée dans une église. Si vous êtes intéressé par d'autres réponses impulsionnelles, je vous conseille ce lien : https://www.openair.hosted.york.ac.uk/?page_id=36\n",
    "\n",
    "Chargez le fichier audio *eglise.wav* et tracez le spectre audio."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "7e565e6e",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Fréquence d'échantillonage de l'audio : 44100 Hz\n"
     ]
    },
    {
     "data": {
      "image/png": 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SOFIEAAAgiVAEAAAgiVAEAAAgiZs3Flpubq4OHz6sypUr5/mFcAAA4J6MMcrIyFBoaKg8PK58LIhQVEiHDx9WWFiYq7sBAACuwYEDB1SjRo0r1hCKCuni7zUdOHBAvr6+Lu4NAAAoDIfDobCwMOt7/EoIRYV08ZSZr68voQgAgFKmMENfGGgNAAAgQhEAAIAkQhEAAIAkQhEAAIAkQhEAAIAkQhEAAIAkQhEAAIAkQhEAAIAkQhEAAIAkQhEAAIAkQhEAAIAkQhEAAIAkQpHbMsboi6S92rD/lKu7AgDADaGcqzuA/M3fmqJhP2yVJO0dFefi3gAAUPZxpMhN7Uo97eouAABwQyEUAQAAiFAEAAAgqZhD0YoVK3TfffcpNDRUNptNM2fOdJpujNGwYcMUEhKi8uXLKyYmRjt37nSqOXnypB5//HH5+vrK399fCQkJOn3a+dTSr7/+qg4dOsjHx0dhYWEaPXp0nr5MmzZNDRs2lI+Pj5o2bao5c+Zc9+0FAAClV7GGojNnzqh58+aaNGlSvtNHjx6tDz/8UB9//LHWrl2rihUrKjY2VpmZmVbN448/rq1bt2rhwoWaNWuWVqxYoV69elnTHQ6HOnfurFq1amndunUaM2aMhg8frilTplg1q1evVrdu3ZSQkKANGzYoPj5e8fHx2rJlS/FtPAAAKF1MCZFkZsyYYb3Ozc01wcHBZsyYMVZbWlqa8fb2Nv/3f/9njDFm27ZtRpL5+eefrZq5c+cam81mDh06ZIwxZvLkyaZKlSomKyvLqnnllVdMgwYNrNddu3Y1cXFxTv2Jiooyzz33XKH7n56ebiSZ9PT0Qs/zZ0xY/Jup9cosU+uVWSWyPgAAyqKifH+7bEzRnj17lJKSopiYGKvNz89PUVFRSkpKkiQlJSXJ399fbdq0sWpiYmLk4eGhtWvXWjW33Xab7Ha7VRMbG6vk5GSdOnXKqrl0PRdrLq7HHdlsNld3AQCAG4rL7lOUkpIiSQoKCnJqDwoKsqalpKQoMDDQaXq5cuVUtWpVp5rw8PA8y7g4rUqVKkpJSbnievKTlZWlrKws67XD4SjK5gEAgFKGq88KMHLkSPn5+VmPsLAwV3cJAAAUI5eFouDgYEnS0aNHndqPHj1qTQsODlZqaqrT9PPnz+vkyZNONfkt49J1FFRzcXp+hg4dqvT0dOtx4MCBom4iAAAoRVwWisLDwxUcHKzFixdbbQ6HQ2vXrlV0dLQkKTo6WmlpaVq3bp1Vs2TJEuXm5ioqKsqqWbFihc6dO2fVLFy4UA0aNFCVKlWsmkvXc7Hm4nry4+3tLV9fX6cHAAAou4o1FJ0+fVobN27Uxo0bJV0YXL1x40bt379fNptN/fv311tvvaUff/xRmzdvVvfu3RUaGqr4+HhJUqNGjXT33Xfr2Wef1U8//aRVq1apX79+evTRRxUaGipJeuyxx2S325WQkKCtW7fq22+/1fjx4zVw4ECrHy+99JLmzZun999/Xzt27NDw4cP1yy+/qF+/fsW5+QAAoDQpzsvgli5daiTlefTo0cMYc+Gy/Ndee80EBQUZb29vc+edd5rk5GSnZZw4ccJ069bNVKpUyfj6+pqnnnrKZGRkONVs2rTJtG/f3nh7e5vq1aubUaNG5enL1KlTTf369Y3dbjcRERFm9uzZRdqWkr4kf+KSnVySDwDAn1SU72+bMca4MJOVGg6HQ35+fkpPTy+RU2mTlu7SmPnJkqS9o+KKfX0AAJRFRfn+5uozAAAAEYoAAAAkEYoAAAAkEYoAAAAkEYrcFj99BgBAySIUAQAAiFAEAAAgiVAEAAAgiVAEAAAgiVAEAAAgiVDktmzi8jMAAEoSoQgAAECEIgAAAEmEIgAAAEmEIreVeS7H1V0AAOCGQihyU1+t2efqLgAAcEMhFLmp9LPnXN0FAABuKIQiAAAAEYoAAAAkEYoAAAAkEYoAAAAkEYoAAAAkEYoAAAAkEYrclo3fgwUAoEQRigAAAEQoAgAAkEQoAgAAkEQoAgAAkEQoAgAAkEQocls2cfkZAAAliVAEAAAgQhEAAIAkQhEAAIAkQhEAAIAkQhEAAIAkQpH74uIzAABKFKEIAABAhCIAAABJhCIAAABJhCIAAABJhCIAAABJhCK3xcVnAACULEIRAACACEUAAACSCEUAAACSCEUAAACSCEUAAACSCEVuy8blZwAAlChCEQAAgAhFAAAAkghFAAAAkghFAAAAkghFAAAAkghFbsvGr58BAFCiCEUAAAAiFAEAAEgiFAEAAEgiFAEAAEgiFAEAAEgiFAEAAEgiFAEAAEgiFAEAAEgiFAEAAEgiFAEAAEhyg1A0fPhw2Ww2p0fDhg2t6ZmZmerbt6+qVaumSpUqqUuXLjp69KjTMvbv36+4uDhVqFBBgYGBGjRokM6fP+9Us2zZMrVq1Ure3t6qV6+eEhMTS2LzAABAKeHyUCRJEREROnLkiPVYuXKlNW3AgAH617/+pWnTpmn58uU6fPiwHnroIWt6Tk6O4uLilJ2drdWrV+sf//iHEhMTNWzYMKtmz549iouLU6dOnbRx40b1799fzzzzjObPn1+i21kUNn76DACAElXO1R2QpHLlyik4ODhPe3p6uv7+97/rm2++0R133CFJ+vzzz9WoUSOtWbNGbdu21YIFC7Rt2zYtWrRIQUFBatGihd5880298sorGj58uOx2uz7++GOFh4fr/ffflyQ1atRIK1eu1NixYxUbG1ui2woAANyTWxwp2rlzp0JDQ1WnTh09/vjj2r9/vyRp3bp1OnfunGJiYqzahg0bqmbNmkpKSpIkJSUlqWnTpgoKCrJqYmNj5XA4tHXrVqvm0mVcrLm4DAAAAJcfKYqKilJiYqIaNGigI0eOaMSIEerQoYO2bNmilJQU2e12+fv7O80TFBSklJQUSVJKSopTILo4/eK0K9U4HA6dPXtW5cuXz9OvrKwsZWVlWa8dDsef3lYAAOC+XB6K7rnnHut5s2bNFBUVpVq1amnq1Kn5hpWSMnLkSI0YMcJl6wcAACXLLU6fXcrf31/169fXrl27FBwcrOzsbKWlpTnVHD161BqDFBwcnOdqtIuvr1bj6+tbYPAaOnSo0tPTrceBAweux+YBAAA35Xah6PTp0/r9998VEhKi1q1by8vLS4sXL7amJycna//+/YqOjpYkRUdHa/PmzUpNTbVqFi5cKF9fXzVu3NiquXQZF2suLiM/3t7e8vX1dXqUJC4+AwCgZLk8FP31r3/V8uXLtXfvXq1evVoPPvigPD091a1bN/n5+SkhIUEDBw7U0qVLtW7dOj311FOKjo5W27ZtJUmdO3dW48aN9eSTT2rTpk2aP3++Xn31VfXt21fe3t6SpN69e2v37t0aPHiwduzYocmTJ2vq1KkaMGCAKzcdAAC4EZePKTp48KC6deumEydOKCAgQO3bt9eaNWsUEBAgSRo7dqw8PDzUpUsXZWVlKTY2VpMnT7bm9/T01KxZs9SnTx9FR0erYsWK6tGjh9544w2rJjw8XLNnz9aAAQM0fvx41ahRQ59++imX4wMAAIvNGGNc3YnSwOFwyM/PT+np6SVyKi1i2Dydyc6RJO0dFVfs6wMAoCwqyve3y0+fAQAAuANCEQAAgAhFAAAAkghFbsvGL8ICAFCiCEUAAAAiFAEAAEgiFAEAAEgiFAEAAEgiFAEAAEgiFLktrj0DAKBkEYoAAABEKAIAAJBEKAIAAJBEKAIAAJBEKAIAAJBEKHJfXH4GAECJIhQBAACIUAQAACCJUAQAACCJUAQAACCJUAQAACCJUOS2uPgMAICSRSgCAAAQoQgAAECSVM7VHcDVpToy5eXpoT/O5ai6f3lXdwcAgDKJUOSmzCXPR83boe/XH5IkrXs1RtUqebumUwAAlGGcPisF/sjKsZ7/dvS0C3sCAEDZRSgCAAAQochtZWSet54bp5NpAACgOBCKShkbNzACAKBYEIoAAABEKCoVzCVnzzhQBABA8SAUAQAAiFBU6tgYVAQAQLEgFAEAAIhQVCpcekE+B4oAACgehCIAAAARigAAACQRikoFLskHAKD4EYpKge1HHK7uAgAAZR6hqBQ4lHbWes5AawAAigehCAAAQISiUohDRQAAFAdCEQAAgAhFAAAAkghFpQ4DrQEAKB6EIgAAABGKSh0OFAEAUDwIRQAAACIUlTo2BhUBAFAsCEUAAAAiFLmtSt7l8m2/2nGipTtSNWPDwevfIQAAyjhCkZvy9Lj6abJNB9L04ORVWrfvpNX2VOLPGvDtJh04+Udxdg8AgDKHUFSK/eWTJG3Yn6YuHyXlmXbiTLYLegQAQOlFKHJTxph82y8dZ519Ptd6fjrrfKHmBwAA+SMUuamiRpomr8//U/MDAHCjIxS5qwJSja2Qt290nD2nLh+tVuKqPde0+mXJqYxLAgDcUPK/xAkudy1Heo5lZFnPP1m+W+v2ndK6faf05Zp9imkcpKH3NJIkHTz1h/6987jubRoiv/JeeZazetdx9fz8Z0nS3lFx19R/AABKG44UuanCjCm63BOfrrWeJ+0+YT3//dgZfbJ8t4wxOnkmW+3fXaqh32/W3eNWKOt8Tp7lrN1zMk8bAABlHaHITRV0pOh87oUplw6yvij5aMYVlxk+dI5avbnQen0kPVMNXp2nQdM26eCpP5T0+4UgNWfzEatm6s8H1PXjJJ3iajYAQBnH6TM3lVvAkaJZmw6rRZi/4ietum7rmrbuoKaty/+Gj4On/ypJeuaLXzS9T7t8a85m5+jZL35Rp4aBSmgfft36BQBASeJIkZsq6Ip6R+Y5SdK2I44S7I20bt8p9f1mvWoPma0HJq1SqiNT6WfPyRijByev0spdx/XmrG2SuB0AAKB04kiRm8rK5/SYJE395aBevPPmEu7NBbN/vXBabdOBNEW+szjfmif/vlb/3nlcHRsEKPGpSEnSobSzunXUEknS7nfu1flcI3u5/PO4MSbPj94aY5R5Llfl7Z4F9s0Yo6zzufLxKrgGAIArsRn+WV8oDodDfn5+Sk9Pl6+vb7Gvr/aQ2cW+Dld6/y/NtfFAmu5uEqywKhV0Jvu8pv5yQAu3HdW/+rWXI/OcklMydFfjIPX5ar3mbU3RikGd9O9dx9S8hr+aVPeTJK347ZgCKnvrk+W/a+bGw1o15A5V9y/v4q0DALiLonx/33ChaNKkSRozZoxSUlLUvHlzTZgwQZGRkVedj1DkXu5oGKgHWoTqpX9udGrv07GuXrm7oXJzjXKN0dLkY2pV01/VKnlLunBEqdN7y3Qux2jlK504ugQAZRyhqADffvutunfvro8//lhRUVEaN26cpk2bpuTkZAUGBl5xXkJR6Vc3oKJ+P3YmT/tDLavLr4KX6txUUR8t+11+Fey6qZJdj0XW1I6UDI1fvFOfdm+j5mH+yjVG2w47dFMlby3ZkapnbwtXBfuFs9DztqTowMk/9ETbWsrOyVUFu6e8PP97mvCP7PPaeCBNEaF+stmkCYt3alBswwJPJV6U3ylFAEDhEIoKEBUVpVtuuUUTJ06UJOXm5iosLEwvvPCChgwZcsV5CUUoac/dVkefrNh9xRpfn3JyZF743bvJj7fS5kPpigj11Y4jGWpZ01+frNit9ftOaVSXZvrrtE0a/2gLp6Nrkx5rpXX7Tumrtfv0VUKUth5OV2xEsIJ8fbQr9bSOpJ+VkeRX3ku1q1XUhv2ndNSRJU8P6VBapjxtNj3fqa76fr1eC7Yd1Q99b1XzMH8dOPmHKvuUU4ojU3+bsUVfJkQq6fcTqhtQSTWrVlBG1nml/ZGtk2ey1bJmlTzbte/EGW3Yn6b/aRYiTw+bbDabDqedVYifj87nGnnYbPKwSTabTZnnLtxry9PDpjNZ5+Xr46Uz2eeVdT5XN/3nCOFFp7POq6Ld0ylkEjqBso1QlI/s7GxVqFBB3333neLj4632Hj16KC0tTT/88INTfVZWlrKy/nuHaIfDobCwsOseipJTMhQ7bsV1Wx4AwH3UCaio3fkcob5Uh5tvknThquOVu45ft3VHhVfV4fSzOnDyrNUWGV5VB07+oSPpmfnO07pWFZ3PNcrJzdWWQ85XOd/RMFA2XfjHyLbD6Tp8yTLqBFRUqN9/x3Oa/9xt79KEcfF5vtP+89+WYf4aem+jIm7plRUlFN0wV58dP35cOTk5CgoKcmoPCgrSjh078tSPHDlSI0aMKPZ+HTzF74sBQFl1tUAkSf/eef2C0KXy+3WCn67yiwXr9p0qcNqSHakFTtt97EyhtvVqyrt4jOcNE4qKaujQoRo4cKD1+uKRouutWQ3/675MAEDRRYT6authh24OrKSdqaevWl/ey1MD7rpZ78zJ+w/riyY+1lI/bjysBduOqlODAC1NPpan5v2/NJeHh+Rhs2nS0l367Wjedd/XPFQ7jjic+tW3U13tPnZGc7ekSJI6Nw7Sgm1HJUnt692kbpE1L9R9s16S9L/3NlSNKhVkzH/bLjXm4WbyLe+lch42eXrYlJqRpcHf/WpNH92lmYyMco30R3aOdW86SXq3S1N5l/PM96eoLj09bbPaLr6+ZJpNeU55lzROnxVw+uxyjCnC5RqH+F71JprP3VZHj0fV0m1jlkqSGgZX1o6UDK18pZOW7EjVsB+2Kq5piGIaB+rgybM6nX1efW6vq9Hzk7Xm9xP6n+ahalunqlrXqqKVO49ryord+ltcI1WtaFdFezk5Ms+pgr2cjIx2HzujtnWqaVfqaf3fT/s1+O4GOnE6W6GX3KLg4viZ01nnlZKeqYrenvL18VJF72v799HFjw/G5ABwV4wpKkBUVJQiIyM1YcIESRcGWtesWVP9+vVjoHUZs2JQJ+06lqGnE3+RJL35QITmbknRu12aKaxqBW0+mC6vcjbVqlrRuinkql3H9WXSPv0trpF8y3vJr7yXjqSflYfNpmoV7Srn6SFjjM7lFHzzSUnKPJfDZf4A4CYYU1SAgQMHqkePHmrTpo0iIyM1btw4nTlzRk899ZSru1YkdW6qqN3H//y5W3ew/Y27te/kGc3dnKJF24/q/a7N9eqMLXqgZXUlpzj01Zr9kqR5/Tso61yu9p44owlLdulw2ln9kZ2jEfdH6Ms1+7Qr9bTGPdJC3/58QI+3rama1SqoZrUKmtY7WlsPpeuJtrX0ZHRta71Na/jl6cut9W7SrfVucmoL8XO+EaTNZpO93JWPihCIAKB0uqGOFEnSxIkTrZs3tmjRQh9++KGioqKuOp87HSnaOyqu1BxJmvtSB01ZsVvLfzum8l6eOpR2VoNiG6hvp3p/arnGGDnOnpdfBa/r1FMAQFnEkaIr6Nevn/r16+fqbpR6D7Wsru83HCpweljV8nqh081qFOKrsY+0uO7rt9lsBCIAwHV15VvpwmXujgjOt/3znreUWB8K+g2x6DrV9MEjLbR3VJym9Y5WtYp2LX75do1/tIVV8+/Bd6jrLdf/aj0AAIoLochNNQypnP+EYrjI550Hm2r9a3dp9zv3OrXf3iDAej7+0Raqc1NFSdL9LUKt9ltqV9W61+5S3YBKio0IVkSor3q2q339OwkAQDG74U6flRVTnmytXl+uy9O+esgden/Bb5q+/qCkCwOU7x737wKXs+2NWOu3uy435J6GquDlqU4NA3VrvZvUsUGgth12KCq8ar71Pl6emv1ih2vYGgAAXI9Q5KYKGv5+8UBRfpeEf5kQqVD/8nq/a3ONebiZbLar3z/m8kDkYZNy/7NuXx8vvfo/ja1pfuW9FF23WqG3AQCA0oTTZ6WURz5h59Ib8Hn850c0Jemt+Cbq2a62HouqedXldmlVQ5J0c2Cl69RTAABKB44UlVL5haKCPNG2liTpSPpZzd+SokduCVP1KuXVMizvr5OPeCBCbWpX0Z2NgvJMAwCgLCMUlVLX8qsKIX7l9fPfYuThUfDMFezl9MgtVz+iBABAWcPps1KqQXDeq9NqV6t41fmuFIgAALiREYpKqfx+SbhqRbsLegIAQNlAKCpl+DVyAACKB6EIAABAhCIAAABJhKIyw58fRwUA4E8hFJURXz4d5eouAABQqhGKSoEHW1a3nhc0zLppDb+S6QwAAGUUoQgAAECEolJt1gvtJUn/0yzExT0BAKD042c+SrEm1f20d1Scq7sBAECZwJEiAAAAEYoAAAAkEYpKBWOM9Zxf+QAAoHgQigAAAEQoAgAAkEQoAgAAkEQoAgAAkEQoKnVsBf7QBwAA+DMIRQAAACIUAQAASCIUAQAASCIUlQrmkufcvBEAgOJBKCplyEQAABQPQhEAAIAIRQAAAJIIRQAAAJIIRQAAAJIIRQAAAJIIRaUPl58BAFAsCEUAAAAiFAEAAEgiFJUKxly9BgAA/DmEIgAAABGKSh0bI60BACgWhCIAAAARigAAACQRigAAACQRigAAACQRigAAACQRikodGxefAQBQLAhFpQD3bgQAoPgRigAAAEQoAgAAkEQoAgAAkEQoKnUYZw0AQPEgFAEAAIhQBAAAIIlQBAAAIIlQBAAAIIlQVCoY89/bN9q4pTUAAMWCUAQAACBCEQAAgCRCEQAAgCRCEQAAgCRCEQAAgCRCUanDxWcAABQPl4ai2rVry2azOT1GjRrlVPPrr7+qQ4cO8vHxUVhYmEaPHp1nOdOmTVPDhg3l4+Ojpk2bas6cOU7TjTEaNmyYQkJCVL58ecXExGjnzp3Fum0AAKB0cfmRojfeeENHjhyxHi+88II1zeFwqHPnzqpVq5bWrVunMWPGaPjw4ZoyZYpVs3r1anXr1k0JCQnasGGD4uPjFR8fry1btlg1o0eP1ocffqiPP/5Ya9euVcWKFRUbG6vMzMwS3VYAAOC+XB6KKleurODgYOtRsWJFa9rXX3+t7OxsffbZZ4qIiNCjjz6qF198UR988IFVM378eN19990aNGiQGjVqpDfffFOtWrXSxIkTJV04SjRu3Di9+uqreuCBB9SsWTN98cUXOnz4sGbOnFnSm3tNzNVLAADAn+TyUDRq1ChVq1ZNLVu21JgxY3T+/HlrWlJSkm677TbZ7XarLTY2VsnJyTp16pRVExMT47TM2NhYJSUlSZL27NmjlJQUpxo/Pz9FRUVZNfnJysqSw+FweriDCnZPV3cBAIAyqZwrV/7iiy+qVatWqlq1qlavXq2hQ4fqyJEj1pGglJQUhYeHO80TFBRkTatSpYpSUlKstktrUlJSrLpL58uvJj8jR47UiBEj/twGXkevxjXS4bRMNQ7xdXVXAAAok657KBoyZIjefffdK9Zs375dDRs21MCBA622Zs2ayW6367nnntPIkSPl7e19vbtWJEOHDnXqn8PhUFhYmMv680yHOi5bNwAAN4LrHopefvll9ezZ84o1derk/wUfFRWl8+fPa+/evWrQoIGCg4N19OhRp5qLr4ODg63/5ldz6fSLbSEhIU41LVq0KLCP3t7eLg1mXHoPAEDJuu6hKCAgQAEBAdc078aNG+Xh4aHAwEBJUnR0tP72t7/p3Llz8vLykiQtXLhQDRo0UJUqVayaxYsXq3///tZyFi5cqOjoaElSeHi4goODtXjxYisEORwOrV27Vn369LnGrQQAAGWNywZaJyUlady4cdq0aZN2796tr7/+WgMGDNATTzxhBZ7HHntMdrtdCQkJ2rp1q7799luNHz/e6bTWSy+9pHnz5un999/Xjh07NHz4cP3yyy/q16+fJMlms6l///5666239OOPP2rz5s3q3r27QkNDFR8f74pNBwAAbshlA629vb31z3/+U8OHD1dWVpbCw8M1YMAAp8Dj5+enBQsWqG/fvmrdurVuuukmDRs2TL169bJq2rVrp2+++Uavvvqq/vd//1c333yzZs6cqSZNmlg1gwcP1pkzZ9SrVy+lpaWpffv2mjdvnnx8fEp0mwEAgPuyGWO4DU4hOBwO+fn5KT09Xb6+xX8F2LhFv2ncogt33Y5rFqJJj7Uq9nUCAFDWFOX72+X3KQIAAHAHhKJSoP+dN7u6CwAAlHmEolLg5qDKru4CAABlHqEIAABAhCIAAABJhCIAAABJhCIAAABJhCIAAABJhCIAAABJhCIAAABJhCIAAABJhCIAAABJhCIAAABJhCIAAABJhCIAAABJhCIAAABJhCIAAABJhCIAAABJhCIAAABJhCIAAABJhCIAAABJhCIAAABJhCIAAABJhCIAAABJhCIAAABJhCIAAABJhCIAAABJhCIAAABJhCIAAABJhCIAAABJhCIAAABJhCIAAABJhCIAAABJhCIAAABJhCIAAABJhCIAAABJhCIAAABJhCIAAABJhCIAAABJhCIAAABJhCIAAABJhCIAAABJhCIAAABJhCIAAABJhCIAAABJhCIAAABJhCIAAABJhCIAAABJhCIAAABJhCIAAABJhCIAAABJhCIAAABJhCIAAABJhCIAAABJhCIAAABJhCIAAABJhCIAAABJhCIAAABJhCIAAABJhCIAAABJhCIAAABJhCIAAABJhCIAAABJhCIAAABJxRiK3n77bbVr104VKlSQv79/vjX79+9XXFycKlSooMDAQA0aNEjnz593qlm2bJlatWolb29v1atXT4mJiXmWM2nSJNWuXVs+Pj6KiorSTz/95DQ9MzNTffv2VbVq1VSpUiV16dJFR48evV6bCgAAyoBiC0XZ2dn6y1/+oj59+uQ7PScnR3FxccrOztbq1av1j3/8Q4mJiRo2bJhVs2fPHsXFxalTp07auHGj+vfvr2eeeUbz58+3ar799lsNHDhQr7/+utavX6/mzZsrNjZWqampVs2AAQP0r3/9S9OmTdPy5ct1+PBhPfTQQ8W16QAAoDQyxezzzz83fn5+edrnzJljPDw8TEpKitX20UcfGV9fX5OVlWWMMWbw4MEmIiLCab5HHnnExMbGWq8jIyNN3759rdc5OTkmNDTUjBw50hhjTFpamvHy8jLTpk2zarZv324kmaSkpEJvR3p6upFk0tPTCz3PnzF2YbKp9cosU+uVWSWyPgAAyqKifH+7bExRUlKSmjZtqqCgIKstNjZWDodDW7dutWpiYmKc5ouNjVVSUpKkC0ej1q1b51Tj4eGhmJgYq2bdunU6d+6cU03Dhg1Vs2ZNqyY/WVlZcjgcTg8AAFB2uSwUpaSkOAUiSdbrlJSUK9Y4HA6dPXtWx48fV05OTr41ly7DbrfnGdd0aU1+Ro4cKT8/P+sRFhZ2TdsJAABKhyKFoiFDhshms13xsWPHjuLqa4kaOnSo0tPTrceBAwdc3SUAAFCMyhWl+OWXX1bPnj2vWFOnTp1CLSs4ODjPVWIXrwgLDg62/nv5VWJHjx6Vr6+vypcvL09PT3l6euZbc+kysrOzlZaW5nS06NKa/Hh7e8vb27tQ2wIAAEq/Ih0pCggIUMOGDa/4sNvthVpWdHS0Nm/e7HSV2MKFC+Xr66vGjRtbNYsXL3aab+HChYqOjpYk2e12tW7d2qkmNzdXixcvtmpat24tLy8vp5rk5GTt37/fqgEAACjSkaKi2L9/v06ePKn9+/crJydHGzdulCTVq1dPlSpVUufOndW4cWM9+eSTGj16tFJSUvTqq6+qb9++1hGa3r17a+LEiRo8eLCefvppLVmyRFOnTtXs2bOt9QwcOFA9evRQmzZtFBkZqXHjxunMmTN66qmnJEl+fn5KSEjQwIEDVbVqVfn6+uqFF15QdHS02rZtW1ybDwAASpliC0XDhg3TP/7xD+t1y5YtJUlLly5Vx44d5enpqVmzZqlPnz6Kjo5WxYoV1aNHD73xxhvWPOHh4Zo9e7YGDBig8ePHq0aNGvr0008VGxtr1TzyyCM6duyYhg0bppSUFLVo0ULz5s1zGnw9duxYeXh4qEuXLsrKylJsbKwmT55cXJsOAABKIZsxxri6E6WBw+GQn5+f0tPT5evrW+zrG7foN41btFOStHdUXLGvDwCAsqgo39/89hkAAIAIRQAAAJIIRQAAAJIIRQAAAJIIRQAAAJIIRQAAAJIIRQAAAJIIRQAAAJIIRQAAAJIIRQAAAJIIRQAAAJIIRQAAAJIIRQAAAJIIRQAAAJIIRQAAAJIIRQAAAJIIRQAAAJIIRQAAAJIIRQAAAJIIRQAAAJIIRQAAAJIIRW6rcYivq7sAAMANpZyrO4D83dU4SKMfbqYmoX6u7goAADcEQpGbstls6tomzNXdAADghsHpMwAAABGKAAAAJBGKAAAAJBGKAAAAJBGKAAAAJBGKAAAAJBGKAAAAJBGKAAAAJBGKAAAAJBGKAAAAJBGKAAAAJBGKAAAAJBGKAAAAJEnlXN2B0sIYI0lyOBwu7gkAACisi9/bF7/Hr4RQVEgZGRmSpLCwMBf3BAAAFFVGRob8/PyuWGMzhYlOUG5urg4fPqzKlSvLZrNd12U7HA6FhYXpwIED8vX1va7LLmvYV4XHvio89lXhsa+Khv1VeMW1r4wxysjIUGhoqDw8rjxqiCNFheTh4aEaNWoU6zp8fX35n6aQ2FeFx74qPPZV4bGviob9VXjFsa+udoToIgZaAwAAiFAEAAAgiVDkFry9vfX666/L29vb1V1xe+yrwmNfFR77qvDYV0XD/io8d9hXDLQGAAAQR4oAAAAkEYoAAAAkEYoAAAAkEYoAAAAkEYpKzKRJk1S7dm35+PgoKipKP/300xXrp02bpoYNG8rHx0dNmzbVnDlzSqinrleUfZWYmCibzeb08PHxKcHeus6KFSt03333KTQ0VDabTTNnzrzqPMuWLVOrVq3k7e2tevXqKTExsdj76Q6Kuq+WLVuW531ls9mUkpJSMh12kZEjR+qWW25R5cqVFRgYqPj4eCUnJ191vhv18+pa9teN+pn10UcfqVmzZtaNGaOjozV37twrzuOK9xWhqAR8++23GjhwoF5//XWtX79ezZs3V2xsrFJTU/OtX716tbp166aEhARt2LBB8fHxio+P15YtW0q45yWvqPtKunD30yNHjliPffv2lWCPXefMmTNq3ry5Jk2aVKj6PXv2KC4uTp06ddLGjRvVv39/PfPMM5o/f34x99T1irqvLkpOTnZ6bwUGBhZTD93D8uXL1bdvX61Zs0YLFy7UuXPn1LlzZ505c6bAeW7kz6tr2V/SjfmZVaNGDY0aNUrr1q3TL7/8ojvuuEMPPPCAtm7dmm+9y95XBsUuMjLS9O3b13qdk5NjQkNDzciRI/Ot79q1q4mLi3Nqi4qKMs8991yx9tMdFHVfff7558bPz6+Eeue+JJkZM2ZcsWbw4MEmIiLCqe2RRx4xsbGxxdgz91OYfbV06VIjyZw6dapE+uSuUlNTjSSzfPnyAmtu5M+ryxVmf/GZ9V9VqlQxn376ab7TXPW+4khRMcvOzta6desUExNjtXl4eCgmJkZJSUn5zpOUlORUL0mxsbEF1pcV17KvJOn06dOqVauWwsLCrvgvjxvdjfq++jNatGihkJAQ3XXXXVq1apWru1Pi0tPTJUlVq1YtsIb31X8VZn9JfGbl5OTon//8p86cOaPo6Oh8a1z1viIUFbPjx48rJydHQUFBTu1BQUEFjk9ISUkpUn1ZcS37qkGDBvrss8/0ww8/6KuvvlJubq7atWungwcPlkSXS5WC3lcOh0Nnz551Ua/cU0hIiD7++GNNnz5d06dPV1hYmDp27Kj169e7umslJjc3V/3799ett96qJk2aFFh3o35eXa6w++tG/szavHmzKlWqJG9vb/Xu3VszZsxQ48aN86111fuqXLEuHShm0dHRTv/SaNeunRo1aqRPPvlEb775pgt7htKsQYMGatCggfW6Xbt2+v333zV27Fh9+eWXLuxZyenbt6+2bNmilStXurorpUJh99eN/JnVoEEDbdy4Uenp6fruu+/Uo0cPLV++vMBg5AocKSpmN910kzw9PXX06FGn9qNHjyo4ODjfeYKDg4tUX1Zcy766nJeXl1q2bKldu3YVRxdLtYLeV76+vipfvryLelV6REZG3jDvq379+mnWrFlaunSpatSoccXaG/Xz6lJF2V+Xu5E+s+x2u+rVq6fWrVtr5MiRat68ucaPH59vraveV4SiYma329W6dWstXrzYasvNzdXixYsLPJcaHR3tVC9JCxcuLLC+rLiWfXW5nJwcbd68WSEhIcXVzVLrRn1fXS8bN24s8+8rY4z69eunGTNmaMmSJQoPD7/qPDfy++pa9tflbuTPrNzcXGVlZeU7zWXvq2Idxg1jjDH//Oc/jbe3t0lMTDTbtm0zvXr1Mv7+/iYlJcUYY8yTTz5phgwZYtWvWrXKlCtXzrz33ntm+/bt5vXXXzdeXl5m8+bNrtqEElPUfTVixAgzf/588/vvv5t169aZRx991Pj4+JitW7e6ahNKTEZGhtmwYYPZsGGDkWQ++OADs2HDBrNv3z5jjDFDhgwxTz75pFW/e/duU6FCBTNo0CCzfft2M2nSJOPp6WnmzZvnqk0oMUXdV2PHjjUzZ840O3fuNJs3bzYvvfSS8fDwMIsWLXLVJpSIPn36GD8/P7Ns2TJz5MgR6/HHH39YNXxe/de17K8b9TNryJAhZvny5WbPnj3m119/NUOGDDE2m80sWLDAGOM+7ytCUQmZMGGCqVmzprHb7SYyMtKsWbPGmnb77bebHj16ONVPnTrV1K9f39jtdhMREWFmz55dwj12naLsq/79+1u1QUFB5t577zXr1693Qa9L3sXLxi9/XNw/PXr0MLfffnueeVq0aGHsdrupU6eO+fzzz0u8365Q1H317rvvmrp16xofHx9TtWpV07FjR7NkyRLXdL4E5bePJDm9T/i8+q9r2V836mfW008/bWrVqmXsdrsJCAgwd955pxWIjHGf95XNGGOK91gUAACA+2NMEQAAgAhFAAAAkghFAAAAkghFAAAAkghFAAAAkghFAAAAkghFAAAAkghFAAAAkghFAAAAkghFAAAAkghFAAAAkghFAAAAkqT/DzT7eOguV7J8AAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A COMPLETER\n",
    "# Chargement de la réponse impulsionnelle\n",
    "freq_IR, extrait_IR = wavfile.read(\"eglise.wav\")\n",
    "print(f\"Fréquence d'échantillonage de l'audio : {freq_IR} Hz\")\n",
    "\n",
    "# Reconstruction de l'axe temporel\n",
    "t_extrait_IR = np.arange(0, len(extrait_IR)/freq_IR, 1/freq_IR)\n",
    "\n",
    "# Tracé de l'IR\n",
    "plt.plot(t_extrait_IR, extrait_IR)\n",
    "plt.title(\"Réponse impulsionnelle\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "17e6c02c",
   "metadata": {},
   "source": [
    "Avant de faire la convolution, on va convertir nos données, ici typées int16 (entiers codés sur 16 bits). \n",
    "\n",
    "Normalisez les données en :\n",
    "- convertissant les audios en float\n",
    "- divisant les audios par 32768"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "3bc1e5a8",
   "metadata": {},
   "outputs": [],
   "source": [
    "# A COMPLETER\n",
    "# Normalisation de l'extrait audio et de la réponse impulsionnelle\n",
    "extrait_audio_normalise = extrait_audio.astype(float)/32768.0\n",
    "extrait_IR_normalise = extrait_IR.astype(float)/32768.0"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ad58eba5",
   "metadata": {},
   "source": [
    "Calculez maintenant la convolution entre vos deux audios normalisés\n",
    "\n",
    "**Attention : utilisez np.convolve et ne multipliez pas par $T_e$. Sinon, ça ne marchera pas**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "41d52a81",
   "metadata": {},
   "outputs": [],
   "source": [
    "# A COMPLETER\n",
    "# Convolution de l'extrait audio normalisé et de la réponse impulsionnelle normalisée\n",
    "extrait_audio_reverb = np.convolve(extrait_audio_normalise, extrait_IR_normalise, mode=\"full\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6d14ff7e",
   "metadata": {},
   "source": [
    "Malgré la normalisation des extraits audios, la sortie de convolution peut créer des pics trop forts (ici au-dessus de 1). Corrigez l'audio :\n",
    "- Détectez s'il y a au moins un pic (en calculant le maximum)\n",
    "- S'il y'a un pic au-dessus de 1 (ou en-dessous de -1), normalisez l'audio en le divisant par le maximum et en multipliant par 0.999"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "109d3c79",
   "metadata": {},
   "outputs": [],
   "source": [
    "# A COMPLETER\n",
    "# Correction de pics trop élevés par normalisation\n",
    "peak = np.max(np.abs(extrait_audio_reverb))\n",
    "if peak>0.999:\n",
    "    extrait_audio_reverb = extrait_audio_reverb/peak*0.999"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "35f8f43b",
   "metadata": {},
   "source": [
    "Convertissez l'audio pour coller à celui d'origine. Pour cela :\n",
    "- Multipliez l'audio par 32768\n",
    "- Convertissez l'audio en entier 16 bits"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "e5a35abc",
   "metadata": {},
   "outputs": [],
   "source": [
    "# A COMPLETER\n",
    "# Conversion de l'audio en entier 16 bits\n",
    "extrait_audio_reverb = (extrait_audio_reverb*32767.0).astype(np.int16)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f2e141d2",
   "metadata": {},
   "source": [
    "Affichez le spectre audio du résultat. \n",
    "\n",
    "**Attention : quel est l'axe temporel ? Comment le retrouver ?**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "ed45112a",
   "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 spectre d'audio résultat\n",
    "\n",
    "# Pour retrouver l'axe temporel, étant donné que notre audio n'a pas changé de fréquences d'échantillonage, il suffit de récupérer la longueur du tableau NumPy de l'audio et de le diviser par la fréquence d'échantillonage\n",
    "t_audio_reverb = np.arange(0,len(extrait_audio_reverb)/freq_audio,1/freq_audio)\n",
    "plt.plot(t_audio_reverb, extrait_audio_reverb)\n",
    "plt.title(\"Audio avec reverb\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "720d4b2a",
   "metadata": {},
   "source": [
    "Pour finir, enregistrez l'audio et écoutez le résultat. Alors, qu'est-ce que ça donne ?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "7748ddfd",
   "metadata": {},
   "outputs": [],
   "source": [
    "# A COMPLETER\n",
    "# Enregistrement du son final avec reverb\n",
    "wavfile.write(\"audio_reverb.wav\",freq_audio,(extrait_audio_reverb).astype(np.int16))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cf205ae6",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "## La convolution au service de l'art\n",
    "\n",
    "Ici, juste un bonus, pas de code, mais c'est pour ceux qui sont curieux ;)\n",
    "\n",
    "Via l'exercice précédent, on a vu comment faire une reverb. Pour cela, on a enregistré une réponse impulsionnelle dans une église, ce qui a permis de créer notre signal reverb. Cependant, on peut aussi créer des réponses impulsionnelles via des objets du quotidien, comme par exemple un jouet à ressort : https://www.openair.hosted.york.ac.uk/?page_id=652\n",
    "\n",
    "De ce fait, on peut créer des sons très spéciaux, servant d'effet sonore au cinéma par exemple. Ces réponses impulsionnelles peuvent aussi être générées. On peut alors ainsi transformer un son à sa guise, créant ainsi de nouvelles sonorités uniques.\n",
    "\n",
    "Par exemple, la Loopstation RC-505 est un appareil permettant non seulement de créer des \"loops sonores\" (c'est-à-dire qu'on enregistre un son et il se répète indéfiniment), mais également de rajouter des effets sonores sur les audios durant l'enregistrement ou a posteriori. La machine a été designée particulèrement pour les artistes vocaux (chant, beatbox). Et tout ça à partir de convolution pour créer des sons originaux.\n",
    "\n",
    "Un extrait pour finir : 2 artistes beatbox en battle 1v1 qui utilisent la loopstation pour leurs morceaux avec uniquement leurs voix en entrée : https://youtu.be/niZJPoxiv40?si=Uo_hrlOj3iyLechd&t=74"
   ]
  }
 ],
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  "kernelspec": {
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