{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "a05c687c",
   "metadata": {},
   "source": [
    "# Traitement du Signal - TDM4 : Transformée de Fourier\n",
    "\n",
    "---\n",
    "\n",
    "Aujourd'hui, place à la transformée de Fourier. On va voir étape par étape comment faire une bonne transformée de Fourier, sa transformée inverse, comment bien afficher les résultats, bref, la base de la base. Donc prenez le temps de bien comprendre, cela ne va pas être très technique."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "af692984",
   "metadata": {},
   "outputs": [],
   "source": [
    "# A COMPLETER\n",
    "# Chargement des librairies\n",
    "import numpy as np\n",
    "from matplotlib import pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a59e9c07",
   "metadata": {},
   "source": [
    "## Exercice 1 : Comment on fait une bonne transformée de Fourier ?\n",
    "\n",
    "On commence tranquillement, avec un signal simple : une sinusoïde. \n",
    "\n",
    "\\begin{equation*}\n",
    "    s(t) = A  \\sin(2 \\pi f_{0} t)\n",
    "\\end{equation*}\n",
    "\n",
    "Avec $A = 1$ et $f_{0} = 50 Hz$.\n",
    "\n",
    "Le signal évoluera de 0 à 0.1 secondes avec une fréquence d'échantillonage $f_e = 1000 Hz$.\n",
    "\n",
    "Construisez l'axe temporel, le signal sinusoïdal et tracez tout ça."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "15a25b9a",
   "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 l'axe temporel\n",
    "T = 0.1 # Durée du signal\n",
    "fe = 1000 # Fréquence d'échantillonage\n",
    "t = np.arange(0,T,1/fe)\n",
    "\n",
    "# Création du signal sinuisoïdal\n",
    "A = 1 # Amplitude\n",
    "f0 = 50 # Fréquence de la sinusoïde\n",
    "s = A*np.sin(2*np.pi*f0*t)\n",
    "\n",
    "# Afficage du signal\n",
    "plt.figure()\n",
    "plt.plot(t,s,label=\"s(t)\")\n",
    "plt.xlabel(\"Temps (s)\")\n",
    "plt.ylabel(\"Intensité\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ca6e94c4",
   "metadata": {},
   "source": [
    "**_QUESTION :_** Avant de faire notre première FFT via NumPy, quelle est l'allure attendue du spectre d'amplitude de $S(f)$ ? Et celle du spectre de phase ?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2dd5ea6b",
   "metadata": {},
   "source": [
    "**_REPONSE :_** On n'a pas besoin de faire de décomposition en série de Fourier ici puisque le signal est sinusoïdal. A partir de la formule, on sait que :\n",
    "- Dans le spectre d'amplitude, on aura 2 pic à $-f_0$ et $f_0$ de taille $A$\n",
    "- Dans le spectre de phase, on aura un pic à $f_0$ de taille $\\frac{-\\pi}{2}$, et un pic à $-f_0$ de taille $\\frac{\\pi}{2}$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5815e79d",
   "metadata": {},
   "source": [
    "Ok, il est l'heure de sauter le pas. On va enfin faire notre première FFT ! Je sais, l'excitation est palpable !\n",
    "\n",
    "Pour cela, nous allons nous appuyer sur la package *numpy.fft*, qui propose plein de fonctions pour réaliser facilement les transformées de Fourier et autre (oui, je ne vous fait pas coder la FFT de A à Z aujourd'hui, je ne suis pas taré non plus). \n",
    "\n",
    "La documentation du package du jour : https://numpy.org/doc/2.0/reference/routines.fft.html\n",
    "\n",
    "**_QUESTION :_** Quelle fonction permet de faire une transformée de Fourier classique ? Que prend-elle en entrée et que renvoit-elle en sortie ?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dacd553f",
   "metadata": {},
   "source": [
    "**_REPONSE :_** La fonction *fft* calcule la transformée de Fourier pour un tableau 1D, en utilisant l'algorithme *Fast Fourier Transform*. La fonction prend en entrée un tableau $a$, et quelques paramètres optionnels :\n",
    "\n",
    "    - n : Le nombre de points de $a$ à prendre en compte. Si $n > len(a)$, le signal est paddé avec des 0\n",
    "    - axis : L'axe du tableau pour performer la FFT (si le tableau n'est pas à une dimension)\n",
    "    - norm : Le mode de la normalisation, avec plusieurs options possibles. Par défaut, le paramètres est à *backward*.\n",
    "\n",
    "*fft* retourne le tableau *out* qui est le résultat de la FFT réelle discrète."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7da43cce",
   "metadata": {},
   "source": [
    "Calculez la transformée de Fourier $S(f)$ de notre signal $s(t)$, et tracez le résultat brut de la sortie."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "5893d3d2",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "c:\\Users\\Robin\\anaconda3\\envs\\deep\\Lib\\site-packages\\matplotlib\\cbook.py:1719: ComplexWarning: Casting complex values to real discards the imaginary part\n",
      "  return math.isfinite(val)\n",
      "c:\\Users\\Robin\\anaconda3\\envs\\deep\\Lib\\site-packages\\matplotlib\\cbook.py:1355: ComplexWarning: Casting complex values to real discards the imaginary part\n",
      "  return np.asarray(x, float)\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",
    "# Transformée de Fourier du signal s(t)\n",
    "S = np.fft.fft(s) # Calcul de la FFT du signal\n",
    "\n",
    "plt.figure()\n",
    "plt.plot(S)\n",
    "plt.title(\"S(f)\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5e1bcb63",
   "metadata": {},
   "source": [
    "**_QUESTION :_** Est-ce que le résultat ressemble à quelque chose ?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2ea41b5a",
   "metadata": {},
   "source": [
    "**_REPONSE :_** Non, ça ne ressemble pas à grand chose ici... D'ailleurs, on a des warnings disant que le signal en sortie est complexe"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0076fdf4",
   "metadata": {},
   "source": [
    "Comme vous le voyez, appeler simplement *np.fft.fft* n'est pas suffisant, la fonction ne fait pas tout. On va voir ensemble les étapes manquantes afin d'avoir une transformée de Fourier correcte et interprétable.\n",
    "\n",
    "Tout d'abord, le signal renvoyé est complexe. C'est logique, au vu du calcul effectué. Dans un premier temps, il faut extraire les spectres d'amplitude et de phase du signal *S(f)*, donc la sortie de *np.fft.fft*."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "46326fee",
   "metadata": {},
   "source": [
    "**_QUESTION :_** Comment obtenir théoriquement les spectres d'amplitude et de phase de la transformée de Fourier ?\n",
    "\n",
    "*Note : si vous ne vous en rappelez plus, allez voir dans votre cours...*"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4719f3ef",
   "metadata": {},
   "source": [
    "**_REPONSE :_** Les spectres d'amplitude $A_S$ et de phase $\\phi_S$ du signal $S(f)$ sont définis de la manière suivante :\n",
    "- $A_S = |S(f)|$\n",
    "- $\\phi_S = arg(S(f))$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3d0940b8",
   "metadata": {},
   "source": [
    "Calculez les spectres d'amplitude et de phase de $S(f)$ et tracez les deux résultats **sur deux figures différentes**. \n",
    "\n",
    "*Note : la fonction np.angle va vous être utile*"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "50eef4bb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A COMPLETER\n",
    "# Calcul des spectres d'amplitude et de phase de S(f)\n",
    "\n",
    "A_S = np.abs(S) # Spectre d'amplitude\n",
    "P_S = np.angle(S) # Spectre de phase\n",
    "\n",
    "plt.subplot(2,1,1)\n",
    "plt.plot(A_S)\n",
    "plt.title(\"Spectre d'amplitude\")\n",
    "plt.subplot(2,1,2)\n",
    "plt.plot(P_S)\n",
    "plt.title(\"Spectre de phase\")\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dce8996a",
   "metadata": {},
   "source": [
    "**_QUESTION  :_** Est-ce que le résultat correspond à ce que vous aviez prédit précédemment ? Sinon, que constatez-vous ?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5801f42e",
   "metadata": {},
   "source": [
    "**_REPONSE :_** Non, toujours pas.\n",
    "- Sur le spectre d'amplitude, on voit bien deux raies et le reste nul, mais les fréquences et amplitudes ne sont pas bonnes.\n",
    "- Sur le spectre de phase, bah on a une courbe variant de $-\\pi$ à $\\pi$, mais la courbe est loin de montrer 2 raies, et l'axe des fréquences n'est pas bon."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a376acb0",
   "metadata": {},
   "source": [
    "Ok, bon, on voit que c'est loi d'être correct. On va continuer à corriger cela.\n",
    "\n",
    "Comme vous avez pu le constater, l'axe fréquentiel ici est inexistant. C'est normal, on ne l'a pas calculer. Et pour cela, il va nous falloir une fonction NumPy."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b138a794",
   "metadata": {},
   "source": [
    "**_QUESTION :_** Quelle fonction NumPy permet de calculer l'axe fréquentiel de la transformée de Fourier ? Quels sont les paramètres d'entrée, et que renvoit la fonction en sortie ?\n",
    "\n",
    "*Note : pour la retrouver, vous pouvez partir de la documentation de la fonction np.fft.fft*"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fbbe447b",
   "metadata": {},
   "source": [
    "**_REPONSE :_** La fonction pour calculer l'axe fréquentiel est *fftfreq*. Elle prend en entrée :\n",
    "    - *n* : La taille de la fenêtre (c'est-à-dire ici la longueur du signal dans notre cas)\n",
    "    - *d* : le temps d'échantillonage de notre fenêtre\n",
    "*fftfreq* retourne le tableau *f* correspondant aux fréquences d'échantillonage, ce qui constitue notre axe fréquentiel."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "39528e23",
   "metadata": {},
   "source": [
    "Grâce à votre nouvelle fonction, calculez l'axe fréquentiel de la transformée de Fourier, et tracez les spectres d'amplitude et de phase corrigés"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "82fef6b3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A COMPLETER\n",
    "# Calcul de l'axe fréquentiel\n",
    "freq = np.fft.fftfreq(len(s),1/fe)\n",
    "\n",
    "plt.figure()\n",
    "plt.subplot(2,1,1)\n",
    "plt.plot(freq,A_S)\n",
    "plt.title(\"Spectre d'amplitude\")\n",
    "plt.subplot(2,1,2)\n",
    "plt.plot(freq,P_S)\n",
    "plt.title(\"Spectre de phase\")\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e4d9dd18",
   "metadata": {},
   "source": [
    "**_QUESTION :_** Alors, est-ce que les spectres sont corrects ? Et sinon, que constatez-vous ?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a7317f9a",
   "metadata": {},
   "source": [
    "**_REPONSE :_** C'est mieux, car les axes fréquentiels sont corrects (du moins, c'est cohérent pour le spectre d'amplitude). Cependant, l'amplitude du spectre d'amplitude n'est toujours pas bonne. De plus, on remarque 1 trait bizarre sur chacun des spectres..."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d30261aa",
   "metadata": {},
   "source": [
    "Il reste encore 2 étapes ici. D'abord, en utilisant la fonction de tracé *plt.plot*, on remarque que:\n",
    "- Sur le spectre de phase, on voit une discontinuité à 0\n",
    "- Sur les deux spectres, on remarque un trait entre la dernière et la première valeur du spectre : ces points sont reliés\n",
    "\n",
    "Alors, pourquoi ce comportement ? La réponse se trouve dans nos vecteurs.\n",
    "\n",
    "Affichez les valeurs de l'axe fréquentiel (les valeurs du vecteurs)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "7eadd289",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Axe fréquentiel :  [   0.   10.   20.   30.   40.   50.   60.   70.   80.   90.  100.  110.\n",
      "  120.  130.  140.  150.  160.  170.  180.  190.  200.  210.  220.  230.\n",
      "  240.  250.  260.  270.  280.  290.  300.  310.  320.  330.  340.  350.\n",
      "  360.  370.  380.  390.  400.  410.  420.  430.  440.  450.  460.  470.\n",
      "  480.  490. -500. -490. -480. -470. -460. -450. -440. -430. -420. -410.\n",
      " -400. -390. -380. -370. -360. -350. -340. -330. -320. -310. -300. -290.\n",
      " -280. -270. -260. -250. -240. -230. -220. -210. -200. -190. -180. -170.\n",
      " -160. -150. -140. -130. -120. -110. -100.  -90.  -80.  -70.  -60.  -50.\n",
      "  -40.  -30.  -20.  -10.]\n"
     ]
    }
   ],
   "source": [
    "# A COMPLETER\n",
    "# Affichage des valeurs de l'axe fréquentiel\n",
    "print(\"Axe fréquentiel : \", freq)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0cbc1ffe",
   "metadata": {},
   "source": [
    "On remarque ici qu'on commence avec les fréquences positives accroissantes (de 0 à 490 Hz), puis les fréquences négatives accroissantes (de -500 à -10 Hz). Cela explique ici les liens entre dernière et première valeur de l'affichage (les fréquences 490 Hz et -500 Hz), et la discontinuité en milieu de graphique (de -10 Hz à 0 Hz). \n",
    "\n",
    "Quelle est la raison de ce phénomène ? C'est lié à la formule utilisée pour calculer la transformée de Fourier discrète (TFD), mais on ne va pas rentrer dans le détail aujourd'hui (on verra ça en détail dans la 2ème partie du semestre durant un autre TDM).\n",
    "\n",
    "Comment corriger ce phénomène ? Avec une autre fonction NumPy ! (Encore, ça fait beaucoup là non ?). On va utiliser une fonction spécifique au package *np.fft*, qui va effectuer un décalage des vecteurs (axe temporel et transformée de Fourier)."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "273c4bd8",
   "metadata": {},
   "source": [
    "**_QUESTION :_** Quelle fonction NumPy permet de calculer le décalage à effectuer sur la transformée de Fourier et l'axe fréquentiel ? Quels sont les paramètres d'entrée, et que renvoit la fonction en sortie ?\n",
    "\n",
    "*Note : pour la retrouver, vous pouvez également partir de la documentation de la fonction np.fft.fft*"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d39b89a1",
   "metadata": {},
   "source": [
    "**_REPONSE :_** La fonction en question est *fftshift*. Elle a pour objectif de décaler le vecteur pour que la composante à 0 Hz se situe au centre du spectre. Les paramètres d'entrée sont:\n",
    "- $x$ : le tableau NumPy d'entrée à décaler (pour nous, ça sera l'axe fréquentiel ou la transformée de Fourier calculée)\n",
    "- $axis$ : l'axe où effectuer le décalage (si le tableau a plusieurs dimensions)\n",
    "\n",
    "La fonction retourne $y$, le tableau NumPy décalé."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6e688b47",
   "metadata": {},
   "source": [
    "Appliquez votre fonction retrouvée sur l'axe fréquentiel **ET** la transformée de Fourier et affichez les spectres d'amplitude et de phase"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "ec1d3f07",
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A COMPLETER\n",
    "# Décalage de l'axe fréquentiel et de la transformée de Fourier et affichage des spectres d'amplitude et de phase\n",
    "S_shifted = np.fft.fftshift(S) # Décalage de la transformée de Fourier\n",
    "freq_shifted = np.fft.fftshift(freq) # Décalage de l'axe fréquentiel\n",
    "\n",
    "A_shifted = np.abs(S_shifted) # Spectre d'amplitude décalé\n",
    "P_shifted = np.angle(S_shifted) # Spectre de phase décalé\n",
    "\n",
    "plt.figure()\n",
    "plt.subplot(2,1,1)\n",
    "plt.plot(freq_shifted, A_shifted)\n",
    "plt.title(\"Spectre d'amplitude\")\n",
    "plt.xlabel(\"Fréquence\")\n",
    "plt.ylabel(\"Amplitude\")\n",
    "plt.subplot(2,1,2)\n",
    "plt.plot(freq_shifted, P_shifted)\n",
    "plt.title(\"Spectre de phase\")\n",
    "plt.xlabel(\"Fréquence\")\n",
    "plt.ylabel(\"Phase\")\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1258053a",
   "metadata": {},
   "source": [
    "**_QUESTION :_** Alors, est-ce que les spectres sont corrects ? Et sinon, que constatez-vous ?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "50663de5",
   "metadata": {},
   "source": [
    "**_REPONSE :_** On approche du bon résultat. Il reste encore 2 soucis:\n",
    "- Le spectre d'amplitude n'a pas la bonne amplitude\n",
    "- Le spectre de phase ne correspond pas totalemtn à ce qu'on attendait"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4a51d5d6",
   "metadata": {},
   "source": [
    "On finit avec 2 ajustements, sur chacun des spectres:\n",
    "- Le spectre d'amplitude n'est pas correct, car l'amplitude est fausse. Cela est lié à l'échantillonnage du signal qui n'est pas pris en compte ici dans le calcul. Pour avoir le réel spectre d'amplitude, il faut le diviser par la longueur du signal (taille du tableau), ce qui correspond à la durée du signal (en secondes) multiplié par la fréquence d'échantillonnage (en Hz).\n",
    "- Le spectre de phase est en réalité correct ici, mais c'est juste que pour la quasi totalité du spectre, la phase est calculée sur des valeurs quasi nulles. Il faut donc faire un filtrage pour visualiser le spectre correctement (pour coller à nos attentes), en mettant les valeurs de phase à 0 si l'amplitude est inférieur 1% du maximum de l'amplitude sur le spectre\n",
    "\n",
    "Effectuez les dernières corrections et affichez le résultat final "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "86c6e222",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A COMPLETER\n",
    "# Correction du spectre d'amplitude, filtrage du spectre de phase et affichage des spectres corrigés\n",
    "\n",
    "A_corrected = A_shifted / (T * fe) # Correction du spectre d'amplitude\n",
    "P_filtered = np.where(A_corrected > 0.01*A_corrected.max(), P_shifted, 0) # Filtrage du spectre de phase\n",
    "\n",
    "plt.figure()\n",
    "plt.subplot(2,1,1)\n",
    "plt.plot(freq_shifted, A_corrected)\n",
    "plt.title(\"Spectre d'amplitude\")\n",
    "plt.xlabel(\"Fréquence\")\n",
    "plt.ylabel(\"Amplitude\")\n",
    "plt.subplot(2,1,2)\n",
    "plt.plot(freq_shifted, P_filtered)\n",
    "plt.title(\"Spectre de phase\")\n",
    "plt.xlabel(\"Fréquence\")\n",
    "plt.ylabel(\"Phase\")\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4aedcf05",
   "metadata": {},
   "source": [
    "Bon, normalement, vous devriez avoir des spectres corrects ! \n",
    "\n",
    "*Si vous n'êtes pas sûrs, appelez votre enseignant, qu'ils vous confirment tout ça...*\n",
    "\n",
    "Comme la précédente séance, je vous invite donc à compléter cette **golden cellule**, permettant de récapituler proprement comment calculer et tracer correctement une bonne transformée de Fourier"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "2bcaa832",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# GOLDEN CELLULE A COMPLETER\n",
    "# Transformée de Fourier d'un signal et affichage des spectres d'amplitude et de phase\n",
    "\n",
    "# Paramètres (MODIFIEZ AVEC VOS NOMS DE VARIABLES)\n",
    "# s : un signal temporel NumPy\n",
    "# T : la durée du signal \n",
    "# fe : la fréquence d'échantillonnage\n",
    "\n",
    "S = np.fft.fftshift(np.fft.fft(s)) # Calcul de la FFT du signal\n",
    "freq = np.fft.fftshift(np.fft.fftfreq(len(s), 1/fe)) # Calcul de l'axe fréquentiel\n",
    "\n",
    "A_S = np.abs(S) / len(s) # Spectre d'amplitude\n",
    "P_S = np.where(A_S > 0.01 * A_S.max(), np.angle(S), 0) # Spectre de phase\n",
    "\n",
    "plt.figure()\n",
    "plt.subplot(3,1,1)\n",
    "plt.plot(t, s)\n",
    "plt.title(\"Signal temporel\")\n",
    "plt.xlabel(\"Temps (s)\")\n",
    "plt.ylabel(\"Amplitude\")\n",
    "plt.subplot(3,1,2)\n",
    "plt.plot(freq, A_S)\n",
    "plt.title(\"Spectre d'amplitude\")\n",
    "plt.xlabel(\"Fréquence\")\n",
    "plt.ylabel(\"Amplitude\")\n",
    "plt.subplot(3,1,3)\n",
    "plt.plot(freq, P_S)\n",
    "plt.title(\"Spectre de phase\")\n",
    "plt.xlabel(\"Fréquence\")\n",
    "plt.ylabel(\"Phase\")\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "387972ca",
   "metadata": {},
   "source": [
    "Voilà, vous savez faire une transformée de Fourier... C'est cool... Maitenant, est-ce que vous savez faire l'inverse ?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9e0a06a5",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "## Exercice 2 : ? reirouF ed eémrofsnart ennob enu taif no tnemmoC\n",
    "\n",
    "Maintenant que vous savez faire une transformée de Fourier, il faut savoir faire la transformée de Fourier inverse. Bon,ce n'est pas très complet non plus, il vous faut pour cela trouver les **2 fonctions** NumPy qui vous permettra de retrouver le signal temporel ainsi que l'axe temporel.\n",
    "\n",
    "On va donc partir d'un signal $X(f)$ fréquentiel et un axe fréquentiel. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "98a6f228",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Création du signal X(f) et de l'axe fréquentiel\n",
    "fe = 2000 # Fréquence d'échantillonnage\n",
    "N = 100\n",
    "\n",
    "df = fe / N\n",
    "\n",
    "freq_X = np.arange(N) * df\n",
    "freq_X -= fe/2\n",
    "\n",
    "# Construction du spectre X(f)\n",
    "X = np.zeros(N, dtype=complex)\n",
    "\n",
    "X[freq_X == 100]  = 250\n",
    "X[freq_X == -100] = 250\n",
    "\n",
    "plt.figure()\n",
    "plt.subplot(2,1,1)\n",
    "plt.plot(freq_X, np.abs(X) / len(X))\n",
    "plt.xticks(np.arange(min(freq_X), max(freq_X)+1, 200.0))\n",
    "plt.title(\"Spectre d'amplitude\")\n",
    "plt.xlabel(\"Fréquence\")\n",
    "plt.ylabel(\"Amplitude\")\n",
    "plt.subplot(2,1,2)\n",
    "plt.plot(freq_X, np.angle(X))\n",
    "plt.xticks(np.arange(min(freq_X), max(freq_X)+1, 200.0))\n",
    "plt.title(\"Spectre de phase\")\n",
    "plt.xlabel(\"Fréquence\")\n",
    "plt.ylabel(\"Phase\")\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f37422d0",
   "metadata": {},
   "source": [
    "**_QUESTION :_** Au vu des spectres de $X(f)$, quel signal $x(t)$ devrait-on obtenir après transformée de Fourier inverse ?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2734f6f3",
   "metadata": {},
   "source": [
    "**_REPONSE :_** $x(t) = 5 \\times \\cos(2 \\pi \\times 100 \\times t)$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "87358043",
   "metadata": {},
   "source": [
    "**_QUESTION :_** Quelles sont les 2 fonctions NumPy à utiliser pour calculer la transformée de Fourier inverse ? Quels paramètres prennent-elles en entrée, et que retournent-elles en sortie ?\n",
    "\n",
    "*Note : Pour trouver ces fonctions, partes de la docuementation de np.fft.fft... oui, encore...*"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fb742fac",
   "metadata": {},
   "source": [
    "**_REPONSE :_** Les 2 fonctions à utiliser sont:\n",
    "\n",
    "- *ifft*, qui calcule la transformée de Fourier inverse d'un signal fréquentiel. La fonction prend en entrée un tableau $a$, et quelques paramètres optionnels :\n",
    "\n",
    "    - n : Le nombre de points de $a$ à prendre en compte. Si $n > len(a)$, le signal est paddé avec des 0\n",
    "    - axis : L'axe du tableau pour performer la FFT inverse (si le tableau n'est pas à une dimension)\n",
    "    - norm : Le mode de la normalisation, avec plusieurs options possibles. Par défaut, le paramètres est à *backward*.\n",
    "\n",
    "  La fonction retourne *out*, le signal temporel calculé.\n",
    "\n",
    "- *ifftshift*, qui fait l'opération exactement inverse de *fftshift*. Elle prend un vecteur en entrée (l'axe fréquentiel ou le signal fréquentiel), et renvoit ce même tableau avec le décalage inverse effectué"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "02a2f8e5",
   "metadata": {},
   "source": [
    "A vous de jouer, calculez la transformée de Fourier inverse du signal $X(f)$ et affichez le signal temporel original. 2 indications importantes:\n",
    "\n",
    "- Comme vous avez pu le voir, il n'y a pas de fonction pour calculer l'axe temporel. Maintenant, on sait que le signal commence à 0 seconde, et que la fréquence d'échantillonnage $f_e$ est donnée, donc on peut le recalculer facilement via $np.arange$\n",
    "- Même si le signal temporel peut être uniquement réel, le retour de la transformée de Fourier inverse est un **tableau NumPy complexe**. Il faut donc extraire les composantes réelles et complexes, que vous pouvez tracer sur 2 figures."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "9c4396f2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# GOLDEN CELLULE A COMPLETER\n",
    "# Transformée de Fourier inverse d'un signal fréquentiel et affichage du signal temporel\n",
    "\n",
    "# Paramètres (MODIFIEZ AVEC VOS NOMS DE VARIABLES)\n",
    "# X : un signal fréquentiel NumPy\n",
    "# fe : la fréquence d'échantillonnage\n",
    "\n",
    "# Transformée de Fourier inverse du signal X(f) et affichage du signal temporel x(t)\n",
    "x = np.fft.ifft(np.fft.ifftshift(X)) # Transformée de Fourier inverse du signal X(f)\n",
    "t_x = np.arange(len(x)) / fe # Axe temporel pour le signal x(t)\n",
    "\n",
    "real_x = np.real(x) # Partie réelle du signal x(t)\n",
    "imag_x = np.imag(x) # Partie imaginaire du signal x(t)\n",
    "\n",
    "plt.subplot(2,1,1)\n",
    "plt.plot(t_x, real_x)\n",
    "plt.title(\"Partie réelle du signal temporel x(t)\")\n",
    "plt.xlabel(\"Temps\")\n",
    "plt.ylabel(\"Amplitude\")\n",
    "plt.subplot(2,1,2)\n",
    "plt.plot(t_x, imag_x)\n",
    "plt.title(\"Partie imaginaire du signal temporel x(t)\")\n",
    "plt.xlabel(\"Temps\")\n",
    "plt.ylabel(\"Amplitude\")\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "19421f70",
   "metadata": {},
   "source": [
    "**_QUESTION :_** Est-ce que le résultat correspond à ce que vous attendiez ?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0811669b",
   "metadata": {},
   "source": [
    "**_REPONSe :_** Oui, c'est bien le cas, la partie réelle du signal est un cosinus d'amplitude 5. On voit 5 périodes sur 0.05 secondes, donc le cosinus a une fréquence de 100 Hz. La partie imaginaire est en réalité nulle (il faut bien observer l'axe des ordonnées, et le 1e-16 en facteur)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "069ff916",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "## Exercice 3 : Propriétés de la TF\n",
    "\n",
    "Pour cet exercice, pas de code. Je vous invite à découvrir la plateforme web (encore en cours de développement...) pour visualiser les transformées de Fourier de signaux. Créez plusieurs signaux (fonctions usuelles), et répondez aux questions suivantes."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b47073ef",
   "metadata": {},
   "source": [
    "**_QUESTION :_** Comment un retard $\\tau$ ($y(t) = x(t - \\tau)$) affecte la transformée de Fourier d'un signal ? (en terme d'amplitude et de phase)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ff5123af",
   "metadata": {},
   "source": [
    "**_REPONSE :_** Un retard n'affecte pas le spectre d'amplitude. Il affecte le spectre d'amplitude en ajoutant un déphasage de $- 2 \\pi f \\tau$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5276c767",
   "metadata": {},
   "source": [
    "**_QUESTION :_** Comment un offset $C$ ($y(t) = x(t) + C$) affecte la transformée de Fourier d'un signal ? (en terme d'amplitude et de phase)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "eaafc5e1",
   "metadata": {},
   "source": [
    "**_REPONSE :_** Un offset ajoute une raie à 0 Hz sur le spectre d'amplitude, de hauteur $C$. Le spectre de phase lui n'est pas affecté."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ad653612",
   "metadata": {},
   "source": [
    "**_QUESTION :_** Pour 2 signaux $a(t)$ et $b(t)$ (en fréquentiel $A(f)$ et $B(f)$), que donnent les spectres de $c(t) = a(t) + b(t)$ après transformée de Fourier ?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "57bd0ce9",
   "metadata": {},
   "source": [
    "**_REPONSE :_** Les spectres de $A(f)$ et $B(f)$ s'additionnent : $C(f) = A(f) + B(f)$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ee57d56d",
   "metadata": {},
   "source": [
    "Reprenez le signal sinsuoïdal de l'exercice 1 (avec le même échantillonnage et la même durée), sur la plateforme web, mais modifiez la fréquence du signal avec $f_0 = 10,5 Hz$."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5157a698",
   "metadata": {},
   "source": [
    "**_QUESTION :_** Que constatez-vous sur les spectres après transformée de Fourier ? Est-ce que le résultat est en raccord avec ce qu'on devrait avoir théoriquement ?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cfadece7",
   "metadata": {},
   "source": [
    "**_REPONSE :_** On obtient un résultat différent. Normalement, on devrait avoir deux pics uniques à -/+ 10.5 Hz de taille 1 en amplitude, ainsi que deux pics uniques à -/+ 10.5 Hz à $-/+ \\frac{-\\pi}{2}$ en phase. On retrouve les pics attendus en amplitude, proches de 1, mais avec d'autres pics autours différents de 0. Pour la phase, le spectre résultant n'a rien à voir avec celui attendu."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d7c80d33",
   "metadata": {},
   "source": [
    "Ce cas illustre la problématique de **fuite spectrale** (vous verrez ça dans quelques semaines en CM et en TDM). Cela est dû à la nature de la FFT : nous ne faisons pas une transformée de Fourier mais une **transformée de Fourier discrète (DFT)**. Cette opération a quelques limitations au niveau du calcul en fonction du signal d'entrée. Bref, on verra ça plus tard, mais c'est pour que voyez bien qu'on ne fait pas exactement une transformée de Fourier avec *np.fft.fft*."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5973d8bd",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "## Exercice 4 : Oskour, mon audio est bruité !\n",
    "\n",
    "J'ai fait un enregistrement d'une chanson que j'aime bien, mais je ne sais pas ce qu'il s'est passé, il y a un bruit ultra désagréable. Ca doit être un problème de larsen sûrement. Vous pouvez m'aider ?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1800e7a4",
   "metadata": {},
   "source": [
    "Chargez le fichier *audio.wav*, et tracez le signal (avec le bon axe temporel hein !)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "4253548b",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\Robin\\AppData\\Local\\Temp\\ipykernel_52852\\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": {
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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": "4f92a82b",
   "metadata": {},
   "source": [
    "**_QUESTION :_** A l'écoute de l'audio, que constatez-vous ? A quoi ressemble le bruit ? "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c3c9ca60",
   "metadata": {},
   "source": [
    "**_REPONSE :_** A l'écoute de l'audio, on entend un bruit très aigu, comme un sifflement. Le bruit est constant tout au long de l'audio, et doit être probablement d'une fréquence unique."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b78fc9a7",
   "metadata": {},
   "source": [
    "Effectuez une FFT sur votre audio pour obtenir $A(f)$ et affichez uniquement l'amplitude fréquentielle. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "c4125057",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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ALI2wAwAALI2wAwAALI2wAwAALI2wAwAALI2wAwAALI2wAwAALI2wAwAALI2wA7gho5LfWRwAcGmEHQAAYGmEHQAAYGmEHQAAYGmEHQAAYGmEHQAAYGmEHQAAYGmEHQAAYGmEHQAAYGmEHQAAYGmEHQAAYGmEHQAAYGmEHQAAYGmEHQAAYGmEHQAAYGmEHcANGePqCgDAOgg7AADA0gg7AADA0gg7AADA0gg7AADA0gg7AADA0gg7AADA0gg7AADA0gg7AADA0gg7AADA0gg7AADA0gg7AADA0gg7AADA0lwaduLj49W7d29FRkbKZrNpyZIl9nW5ubkaP368WrVqpSpVqigyMlJ33323jh496rCNtLQ0DRkyRIGBgQoODtbw4cN1+vTpcv4kAADAXbk07Jw5c0atW7fW7NmzC607e/asNm3apEmTJmnTpk1atGiRdu3apdtuu82h35AhQ7R9+3atXLlSy5YtU3x8vEaOHFleHwEAALg5H1fuvEePHurRo0eR64KCgrRy5UqHttdee00dO3bUwYMHVbduXe3cuVMrVqzQhg0b1KFDB0nSrFmz1LNnT7300kuKjIws888AAADcm0fN2cnIyJDNZlNwcLAkKSEhQcHBwfagI0mxsbHy8vJSYmJisdvJzs5WZmamwwtwJ8bVBQCAhXhM2MnKytL48eM1ePBgBQYGSpJSUlIUGhrq0M/Hx0chISFKSUkpdltTp05VUFCQ/RUVFVWmtQMAANfxiLCTm5urgQMHyhijOXPmXPX2Jk6cqIyMDPvr0KFDTqgSAAC4I5fO2SmJC0HnwIEDWr16tX1UR5LCw8N1/Phxh/55eXlKS0tTeHh4sdv08/OTn59fmdUMAADch1uP7FwIOnv27NE333yjGjVqOKyPiYlRenq6kpKS7G2rV69WQUGBoqOjy7tcAADghlw6snP69Gnt3bvXvpycnKyffvpJISEhioiI0IABA7Rp0yYtW7ZM+fn59nk4ISEh8vX1VfPmzXXLLbdoxIgRmjt3rnJzczV69GgNGjSIK7EAAIAkF4edjRs36qabbrIvjxs3TpI0dOhQPfXUU1q6dKkkqU2bNg7vW7Nmjbp27SpJWrBggUaPHq1u3brJy8tL/fv318yZM8ulfgAA4P5cGna6du0qY4q/yPZS6y4ICQnRBx984MyyAACAhbj1nB0AAICrRdgBAACWRtgBAJRISaYWAO6IsAMAACyNsAMAACyNsAMAACyNsAMAACyNsAO4IeaBAoDzEHYAAIClEXYAAIClEXYAAIClEXYAAIClEXYAAIClEXYAN2TE5VgA4CyEHQAAYGmEHQAAYGmEHQAAYGmEHQAAYGmEHQAAYGmEHQAAYGmEHQAAYGmEHQAAYGmEHcANGe4pCABOQ9gBAACWRtgBAACWRtgBAACWRtgBAACWRtgBAACWRtgBAACWRtgBAACWRtgBAACWRtgBAACWRtgBAACWRtgBAACWRtgBAACWRtgBAACWRtgBAACWRtgB3JBxdQEAYCEuDTvx8fHq3bu3IiMjZbPZtGTJEof1xhhNnjxZERERCggIUGxsrPbs2ePQJy0tTUOGDFFgYKCCg4M1fPhwnT59uhw/BQAAcGcuDTtnzpxR69atNXv27CLXT5s2TTNnztTcuXOVmJioKlWqKC4uTllZWfY+Q4YM0fbt27Vy5UotW7ZM8fHxGjlyZHl9BAAA4OZ8XLnzHj16qEePHkWuM8ZoxowZeuKJJ9SnTx9J0nvvvaewsDAtWbJEgwYN0s6dO7VixQpt2LBBHTp0kCTNmjVLPXv21EsvvaTIyMgit52dna3s7Gz7cmZmppM/GQAAcBduO2cnOTlZKSkpio2NtbcFBQUpOjpaCQkJkqSEhAQFBwfbg44kxcbGysvLS4mJicVue+rUqQoKCrK/oqKiyu6DAAAAl3LbsJOSkiJJCgsLc2gPCwuzr0tJSVFoaKjDeh8fH4WEhNj7FGXixInKyMiwvw4dOuTk6gEAgLtw6WksV/Hz85Ofn5+rywAAAOXAbUd2wsPDJUmpqakO7ampqfZ14eHhOn78uMP6vLw8paWl2fsAAICKzW3DToMGDRQeHq5Vq1bZ2zIzM5WYmKiYmBhJUkxMjNLT05WUlGTvs3r1ahUUFCg6OrrcawYAAO7HpaexTp8+rb1799qXk5OT9dNPPykkJER169bV2LFj9a9//UuNGzdWgwYNNGnSJEVGRqpv376SpObNm+uWW27RiBEjNHfuXOXm5mr06NEaNGhQsVdiAQCAisWlYWfjxo266aab7Mvjxo2TJA0dOlTz58/XP/7xD505c0YjR45Uenq6unTpohUrVsjf39/+ngULFmj06NHq1q2bvLy81L9/f82cObPcPwsAAHBPLg07Xbt2lTHF3xjfZrNpypQpmjJlSrF9QkJC9MEHH5RFeQAAwALcds4OAACAMxB2AACApRF2AACApRF2AACApRF2AHd0iYn7AIDSIewAAABLI+wAAABLI+wAAABLI+wAAABLI+wAAEqEafPwVIQdAABgaYQdAABgaYQdAABgaYQdAABgaYQdAABgaYQdAABgaYQdAABgaYQdAABgaYQdAABgaYQdwA1xp1oAcB7CDgAAsDTCDgAAsDTCDgAAsDTCDgAAsDTCDgAAsDTCDgAAsDTCDgAAsDTCDgAAsDTCDgAAsDTCDgAAsDTCDgAAsDTCDuCGDA/HAgCnIewAAABLu6Kwk56errffflsTJ05UWlqaJGnTpk06cuSIU4sDAAC4Wj6lfcOWLVsUGxuroKAg7d+/XyNGjFBISIgWLVqkgwcP6r333iuLOoEKxXAeCwCcptQjO+PGjdOwYcO0Z88e+fv729t79uyp+Ph4pxYHAABwtUoddjZs2KD77ruvUHvt2rWVkpLilKIAAACcpdRhx8/PT5mZmYXad+/erVq1ajmlqAvy8/M1adIkNWjQQAEBAbrmmmv0zDPPOAzxG2M0efJkRUREKCAgQLGxsdqzZ49T6wAAAJ6r1GHntttu05QpU5SbmytJstlsOnjwoMaPH6/+/fs7tbgXXnhBc+bM0WuvvaadO3fqhRde0LRp0zRr1ix7n2nTpmnmzJmaO3euEhMTVaVKFcXFxSkrK8uptQAAAM9U6rDz8ssv6/Tp0woNDdW5c+d04403qlGjRqpWrZqeffZZpxb3/fffq0+fPurVq5fq16+vAQMGqHv37vrxxx8lnR/VmTFjhp544gn16dNHf/rTn/Tee+/p6NGjWrJkiVNrAQAAnqnUV2MFBQVp5cqV+vbbb7VlyxadPn1a7dq1U2xsrNOL69Spk958803t3r1bTZo00c8//6xvv/1W06dPlyQlJycrJSXFYd9BQUGKjo5WQkKCBg0aVOR2s7OzlZ2dbV8u6rQcAACwhlKHnQu6dOmiLl26OLOWQiZMmKDMzEw1a9ZM3t7eys/P17PPPqshQ4ZIkn1CdFhYmMP7wsLCLjlZeurUqXr66afLrnAAAOA2ShR2Zs6cWeINPvTQQ1dczB99/PHHWrBggT744AO1aNFCP/30k8aOHavIyEgNHTr0irc7ceJEjRs3zr6cmZmpqKgoZ5QMAADcTInCziuvvOKw/Ntvv+ns2bMKDg6WdP6OypUrV1ZoaKhTw85jjz2mCRMm2E9HtWrVSgcOHNDUqVM1dOhQhYeHS5JSU1MVERFhf19qaqratGlT7Hb9/Pzk5+fntDoBAID7KtEE5eTkZPvr2WefVZs2bbRz506lpaUpLS1NO3fuVLt27fTMM884tbizZ8/Ky8uxRG9vbxUUFEiSGjRooPDwcK1atcq+PjMzU4mJiYqJiXFqLQAAwDOVes7OpEmT9N///ldNmza1tzVt2lSvvPKKBgwYYJ9P4wy9e/fWs88+q7p166pFixbavHmzpk+frnvvvVfS+cvex44dq3/9619q3LixGjRooEmTJikyMlJ9+/Z1Wh0AAMBzlTrsHDt2THl5eYXa8/PzlZqa6pSiLpg1a5YmTZqkBx98UMePH1dkZKTuu+8+TZ482d7nH//4h86cOaORI0cqPT1dXbp00YoVKxweZQEAACoumynlEwd79+6tI0eO6O2331a7du0kSUlJSRo5cqRq166tpUuXlkmhZSkzM1NBQUHKyMhQYGCgq8sBNP+7ZD31+Q5J0v7ne7m4GlR09Sd8IUmy2aTkqfz7CPdR0r/fpb6p4Lvvvqvw8HB16NDBPtG3Y8eOCgsL09tvv31VRQMAADhbqU9j1apVS8uXL9fu3bv1yy+/SJKaNWumJk2aOL04oKIq1XArAOCSrvimgk2aNCHgAAAAt1fqsHPhSqjivPvuu1dcDAAAgLOVOuycPHnSYTk3N1fbtm1Tenq6br75ZqcVBgAA4AylDjuLFy8u1FZQUKAHHnhA11xzjVOKAgAAcJZSX41V5Ea8vDRu3LhCj5UAAABwNaeEHUnat29fkTcbBAAAcKVSn8a6+GnhkmSM0bFjx/TFF19c1ZPIAQAAykKpw87mzZsdlr28vFSrVi29/PLLl71SCwAAoLyVOuysWbOmLOoAAAAoE6Wes3PzzTcrPT29UHtmZiaXngMAALdT6rCzdu1a5eTkFGrPysrS+vXrnVIUAACAs5T4NNaWLVvs/7xjxw6lpKTYl/Pz87VixQrVrl3budUBAABcpRKHnTZt2shms8lmsxV5uiogIECzZs1yanEAAABXq8RhJzk5WcYYNWzYUD/++KNq1aplX+fr66vQ0FB5e3uXSZEAAABXqsRhp169epLOPxoCAADAU5Qo7CxdulQ9evRQpUqVtHTp0kv2ve2225xSGFCRGePqCoDC+PcSnqpEYadv375KSUlRaGio+vbtW2w/m82m/Px8Z9UGAABw1UoUdi4+dcVpLAAA4Emc9iBQAAAAd1SikZ2ZM2eWeIMPPfTQFRcDAADgbCUKO6+88kqJNmaz2Qg7AADArZQo7CQnJ5d1HQAAAGXiqubsGGNkuBYRAAC4sSsKO++8845atmwpf39/+fv7q2XLlnr77bedXRsAAMBVK/EdlC+YPHmypk+frjFjxigmJkaSlJCQoIcfflgHDx7UlClTnF4kAADAlSp12JkzZ47eeustDR482N5222236U9/+pPGjBlD2AEAAG6l1KexcnNz1aFDh0Lt7du3V15enlOKAgAAcJZSh5277rpLc+bMKdT+5ptvasiQIU4pCgAAwFlKfRpLOj9B+euvv9b1118vSUpMTNTBgwd19913a9y4cfZ+06dPd06VAAAAV6jUYWfbtm1q166dJGnfvn2SpJo1a6pmzZratm2bvZ/NZnNSiQAAAFeu1GFnzZo1ZVEHgItw9yoAcB4eBAoAACyt1CM7WVlZmjVrltasWaPjx4+roKDAYf2mTZucVhwAAMDVKnXYGT58uL7++msNGDBAHTt2ZG4OAABwa6UOO8uWLdPy5cvVuXPnsqgHAADAqUo9Z6d27dqqVq1aWdRSpCNHjujOO+9UjRo1FBAQoFatWmnjxo329cYYTZ48WREREQoICFBsbKz27NlTbvUBAAD3Vuqw8/LLL2v8+PE6cOBAWdTj4OTJk+rcubMqVaqkL7/8Ujt27NDLL7+s6tWr2/tMmzZNM2fO1Ny5c5WYmKgqVaooLi5OWVlZZV4fAABwf6U+jdWhQwdlZWWpYcOGqly5sipVquSwPi0tzWnFvfDCC4qKitK8efPsbQ0aNLD/szFGM2bM0BNPPKE+ffpIkt577z2FhYVpyZIlGjRokNNqAQAAnqnUYWfw4ME6cuSInnvuOYWFhZXpBOWlS5cqLi5Ot99+u9atW6fatWvrwQcf1IgRIyRJycnJSklJUWxsrP09QUFBio6OVkJCQrFhJzs7W9nZ2fblzMzMMvsMAADAtUoddr7//nslJCSodevWZVGPg19//VVz5szRuHHj9M9//lMbNmzQQw89JF9fXw0dOlQpKSmSpLCwMIf3hYWF2dcVZerUqXr66afLtHYAAOAeSj1np1mzZjp37lxZ1FJIQUGB2rVrp+eee05t27bVyJEjNWLECM2dO/eqtjtx4kRlZGTYX4cOHXJSxQDcQW5+QanaAVhbqcPO888/r0ceeURr167V77//rszMTIeXM0VEROjaa691aGvevLkOHjwoSQoPD5ckpaamOvRJTU21ryuKn5+fAgMDHV4ArOHnQ+lq/PiXmvHNbof2n/6v/dVvuFoTqGhKHXZuueUWJSQkqFu3bgoNDVX16tVVvXp1BQcHO1wl5QydO3fWrl27HNp2796tevXqSTo/WTk8PFyrVq2yr8/MzFRiYqJiYmKcWgsAz/DU59slSTP+EGqeWnq+/ZU/hCAA1ufUB4Fu3br1qor5o4cfflidOnXSc889p4EDB+rHH3/Um2++qTfffFPS+Serjx07Vv/617/UuHFjNWjQQJMmTVJkZKT69u3r1FoAAIBnKnXYufHGGx2WT506pQ8//FBvv/22kpKSNHr0aKcVd91112nx4sWaOHGipkyZogYNGmjGjBkaMmSIvc8//vEPnTlzRiNHjlR6erq6dOmiFStWyN/f32l1AAAAz1XqsHNBfHy83nnnHX366aeKjIxUv379NHv2bGfWJkm69dZbdeuttxa73mazacqUKZoyZYrT9w24ijHG1SV4rM0H011dAgA3U6qwk5KSovnz5+udd95RZmamBg4cqOzsbC1ZsqTQRGIAAAB3UOIJyr1791bTpk21ZcsWzZgxQ0ePHtWsWbPKsjYAcJoyvP8pADdX4pGdL7/8Ug899JAeeOABNW7cuCxrAgCnI+sAFVeJR3a+/fZbnTp1Su3bt1d0dLRee+01nThxoixrAwAAuGolDjvXX3+93nrrLR07dkz33XefFi5cqMjISBUUFGjlypU6depUWdYJAABwRUp9U8EqVaro3nvv1bfffqutW7fqkUce0fPPP6/Q0FDddtttZVEjAADAFSt12LlY06ZNNW3aNB0+fFgffvihs2oCAKezMUMZqLCuKuxc4O3trb59+2rp0qXO2BwAAIDTOCXsAIC7Y1wHqLgIOwAAwNIIOwAAwNIIOwAqBOYnAxUXYQcAAFgaYQdAhWBjijJQYRF2ADdkjKsrAADrIOwAsIys3PziV140sHMu5xL9AFgOYQeAJZzNyVOrp74qUd/mk1doza7jZVwRAHdB2AFgCZsOpCs3v+Tn/55aur0MqwHgTgg7AADA0gg7ACqEggJmfQMVFWEHgCUYXTrMbDxwspwqAeBuCDsAKiTuugNUHIQdAABgaYQdAABgaYQdAJbAXacBFIewA8ASSpt1bDwGHagwCDsAAMDSCDsAKiTGdYCKg7ADwBJMaSftkHaACoOwAwAALI2wA7ihy90NGABQcoQdAJZAPARQHMIOAGtgyg6AYhB2AACApRF2AFRIKRlZri4BQDkh7ACokM7k5Lu6BADlhLADwBK4gg1AcTwq7Dz//POy2WwaO3asvS0rK0ujRo1SjRo1VLVqVfXv31+pqamuKxIAALgVjwk7GzZs0BtvvKE//elPDu0PP/ywPv/8c33yySdat26djh49qn79+rmoSgAA4G48IuycPn1aQ4YM0VtvvaXq1avb2zMyMvTOO+9o+vTpuvnmm9W+fXvNmzdP33//vX744QcXVgygvJX2aREAKg6PCDujRo1Sr169FBsb69CelJSk3Nxch/ZmzZqpbt26SkhIKHZ72dnZyszMdHgB8GyEHQDF8XF1AZezcOFCbdq0SRs2bCi0LiUlRb6+vgoODnZoDwsLU0pKSrHbnDp1qp5++mlnlwrAzWTn5cvPx9vVZQBwMbce2Tl06JD+/ve/a8GCBfL393fadidOnKiMjAz769ChQ07bNgD3cTaby8sBuHnYSUpK0vHjx9WuXTv5+PjIx8dH69at08yZM+Xj46OwsDDl5OQoPT3d4X2pqakKDw8vdrt+fn4KDAx0eAEAAGty69NY3bp109atWx3a7rnnHjVr1kzjx49XVFSUKlWqpFWrVql///6SpF27dungwYOKiYlxRckAXIQpOwCK49Zhp1q1amrZsqVDW5UqVVSjRg17+/DhwzVu3DiFhIQoMDBQY8aMUUxMjK6//npXlAw4BZNtAcB53DrslMQrr7wiLy8v9e/fX9nZ2YqLi9Prr7/u6rIAlDNTREIkMwKQPDDsrF271mHZ399fs2fP1uzZs11TEAC3kJmV5+oSALgpt56gDAAlVcC5PwDFIOwAsKwz2edHe05nM+oDVGQedxoLAErqhmlr1CSsqnannnZ1KQBciJEdAJZgK6adoAOAsAPAEpixA6A4hB0A1kDaAVAMwg4ASzCkHQDFIOwAsARbsbN2AFR0hB0AlsDIDoDiEHYAWMLmg+muLgGAmyLsALCELYczXF0CADdF2AEAAJZG2AHcELNPSo/vDEBxCDsALMHwIFAAxSDsAAAASyPsAAAASyPsALAEzmIBKA5hBwAAWBphB4DHOpOdp1e/2aPdqadc8n4AnoGwA8BjvfjVLr3yzW51fyXeJe8H4BkIOwA81k+H0u3/nJKZdVXvB2BdhB0AlpBxLtfVJQBwU4QdwA1xZREAOA9hB0CFZbO5ugIA5YGwAwAALI2wAwAALI2wA6DC4iwWUDEQdgA3ZMQM5ZLgWwJQEoQdAECJMKEbnoqwA8BzXeU1+jb+egMVAmEHQIVF1AEqBsIOAKBECIfwVIQdABUWZ7GAioGwAwAALI2wA8Bjcek5gJIg7ACosHLyClxdAoByQNgBUGH9fDjD1SUAKAduHXamTp2q6667TtWqVVNoaKj69u2rXbt2OfTJysrSqFGjVKNGDVWtWlX9+/dXamqqiyoGAOvivkTwVG4ddtatW6dRo0bphx9+0MqVK5Wbm6vu3bvrzJkz9j4PP/ywPv/8c33yySdat26djh49qn79+rmwagAA4E58XF3ApaxYscJhef78+QoNDVVSUpL+/Oc/KyMjQ++8844++OAD3XzzzZKkefPmqXnz5vrhhx90/fXXu6JsAOXkKm+gDKCCcOuRnT/KyDh/fj0kJESSlJSUpNzcXMXGxtr7NGvWTHXr1lVCQkKx28nOzlZmZqbDCwAAWJPHhJ2CggKNHTtWnTt3VsuWLSVJKSkp8vX1VXBwsEPfsLAwpaSkFLutqVOnKigoyP6Kiooqy9IBwBKYsQNP5TFhZ9SoUdq2bZsWLlx41duaOHGiMjIy7K9Dhw45oUIA5c1wpx0AJeDWc3YuGD16tJYtW6b4+HjVqVPH3h4eHq6cnBylp6c7jO6kpqYqPDy82O35+fnJz8+vLEsGrgpzUQDAedx6ZMcYo9GjR2vx4sVavXq1GjRo4LC+ffv2qlSpklatWmVv27Vrlw4ePKiYmJjyLhcALI0rz+Gp3HpkZ9SoUfrggw/02WefqVq1avZ5OEFBQQoICFBQUJCGDx+ucePGKSQkRIGBgRozZoxiYmK4EgsAAEhy87AzZ84cSVLXrl0d2ufNm6dhw4ZJkl555RV5eXmpf//+ys7OVlxcnF5//fVyrhQAALgrtw47pgQTF/z9/TV79mzNnj27HCoCgIrLxvVY8FBuPWcHAADgahF2AHikggKj7FznPbU8KzffadsC4F4IOwA8Ut/Xv9Oe46edtr1mk1YoNTPLadsD4D4IOwDc1rmcfH2y8ZB+O5VdaN2WwxlO39+SzUcclvMLjBZtOqxDaWedvi+PxJQdeCi3nqAMoGJ7dvkO/eeHg2pYq4pWP9K1zPf3x0siPvjxoCYt2SZJ2v98rzLfP4CywcgOALf11fZUSdKvv51xyf5/+PV3l+wXgHMRdgDg//zxbhectXHE9wFPRdgB4LbK+xlhPFgUsCbCDgCPkZtfUKKbjV6p7/eeP22Vk3f+knYbD4MCLIGwA8CN/S/YnM3JU7spK3X73IQy21vamRy9Ff+rmjzxpdbt/o3TNn9A9oOnIuwA8AiJv6bpVHaeNh44WWb7MJKeXb5TkvToJz+X2X4AlC/CDgDPUA6jChefIjOGkQzAKgg7ADyCF8nD5XgQKDwVYQeARyiPP7MXz3222bjUGrAKwg4At3Vx+CiPkR0uPQesibADuKGCAv7o/tFz/zdxWJIO/F42d1Tenfq/B4v+dipb3+49USb7AVC+CDuAG9rtxKd5W8WOY5n2f77xxbXlss8Tp3PKZT+egmlT8FSEHcANFZT3rYPd1LncfFeXAMACCDsA3NbZHMIOgKtH2AHcEGcL4I749xKeirADAAAsjbADAAAsjbADwGVy8gq0fOsxZXnwRORVO1P126lsV5dRLngKPDyVj6sLAHBpxhjL/pHpNn2tDqWdkyTtf76Xi6spvQFzvrc/mNQT6wcqCkZ2ADdUUS48vxB0PFVZPoEdgPMQdgA39MWWY64uASjEmuOLqAgIO4Cbq4j3Fzyafk4j3tvo6jIc3Pf+Rq3amerqMgBcAcIOALdz59uJWrnDvYLFV9tTNfzf7hXAAJQMYQdwcxVwYEe/niibB30CqJgIOwDKVX6B0fD5GzRtxS+uLsWplm05qj6zv9Oe1FOuLqXsMGkHHopLzwGUq/cT9mvVL8e16pfjDu0f/nhQExdtdVFVJVd/wheSpP7t6ji0j/5gsyTpL6/Ecxk64GYY2QHcnHHzGcoZ53L14le/aHcJRzSe+nxHke2eEHQu9ummw1f1/rM5eXrpq13adiTDSRUBKA5hB8BVeWbZDs1es0/dX4nX/hNnNPTdH/Vjcpqry3JLGedy9f/+vUHLthzV5M+267U1e3XrrG9dXVaJcRYLnorTWICbc+9xHem/Sf8b4ej60lpJ0rrdv3EqpwizVu3RNzuP65udxy/f2Q3l5Be4ugTgijCyA7i5U1l5ri6hSMYYtz/F5m4+SSr+1JcnfJdZuYQdeCbCDuDmjqa73yMVsvPy1WDicjWYuLzYPnlFjAKUdF6Pp3vn2+Qi2zPO5RbZXn/CF2owcbmWb+XO2UBZ4DQW4ObK4hmg+QVG875LVqPQquraNLTYfgsSD2jFthTNvbO9qvj5KCevQL4+Xmr6xIrL7qPfnO/1eM/m2nokQ5lZeZq5ao8zP4Jbe2bZDj2zbIeaRwSqdZ0g/S26rqYuv/yl9g8u2KT9z/eyf8+S9MKKX3Tk5Dm9OqhNsQ+EPZR2Vv9JPKCRNzRUjap+Tv0sgBXYjCeMnZaxzMxMBQUFKSMjQ4GBga4uB7Bf3ixJyx+6QddGOuffyzPZeWrx5FeF2rs1C9U1oVU1sMP5y6lHvpfEjf3c1KcPdNK1EYGa8c1uVfXz0csrdxfq80L/VrrjurpO2+fF/z4yFwvupKR/vy0zsjN79my9+OKLSklJUevWrTVr1ix17NjR1WUBl5Wdl6+TZ3KVV1Cg2sEBhf7v/fDJs8orKFCd6pUlSSFVfAtto6DA6FxuvjYeOKmQyr46fPKssvMKNPajn0pUw4X73rwZ/+tVfx6Urf5zvr9sn/GfbtX4Tx0v5X/tb2114lS2ev4pQrtTTqtt3WD5+nipknfh2QynsnKVm2908myOKvt6F7mPlIwsVfHz1tmcfIUF+l/ZhwHKiSVGdj766CPdfffdmjt3rqKjozVjxgx98skn2rVrl0JDix+iv4CRnYrLGKPcfGM/ZXA2J0/+Pt5KP5er5BNn5OfjpU83HdYNjWuqaXigRi3YpD2pp9SzVYTW7DquE6dzXPwJAGuoX6OyGtSsokMnz+nX305r6eguSjuTo9lr9mpwx7qqXsVXzcKrKbSan87l5svPx1veXjbl5hfIx8tW7Ck+WFtJ/35bIuxER0fruuuu02uvvSZJKigoUFRUlMaMGaMJEyYU6p+dna3s7Gz7cmZmpqKiopwadgoKjBr+s/jJm5fSr11tSdLxzGx9u/eEU+qxkhub1NK63b+5ugwAKFN/vEu3pxvfo6lCqzl3FLDCnMbKyclRUlKSJk6caG/z8vJSbGysEhISinzP1KlT9fTTT5dpXV5eV/5/GYs2HXFiJdZD0AFQEVztXbrdzaibrlFoNdfs2+PDzokTJ5Sfn6+wsDCH9rCwMP3yS9FXP0ycOFHjxo2zL18Y2XG26xuG6IdfS38n2X/2bCZJys4tKHLyYUX3ULfGFerKHhSvY/0QncvNV9qZHNWpHqDb2kSqZ8sIzfsuWSFVfB0eTXFtRKBe+1tb+fp46eDvZ/Xamr36ft/vahZeTQG+3tp8MF3hgf5Kycxy4ScCzvtzk1rqfE0NV5fhVEXNNywvHh92roSfn5/8/Mr+8syFI2OuehtjujV2QiXWM+4vTVxdAtzYuO5NJUnDOjcocn2d6pXVqVHN8iwJgAt5/E0Fa9asKW9vb6Wmpjq0p6amKjw83EVVAQAAd+HxYcfX11ft27fXqlWr7G0FBQVatWqVYmKufmQFAAB4Nkucxho3bpyGDh2qDh06qGPHjpoxY4bOnDmje+65x9WlAQAAF7NE2Lnjjjv022+/afLkyUpJSVGbNm20YsWKQpOWAQBAxWOJ++xcLW4qCACA5ynp32+Pn7MDAABwKYQdAABgaYQdAABgaYQdAABgaYQdAABgaYQdAABgaYQdAABgaYQdAABgaZa4g/LVunBfxczMTBdXAgAASurC3+3L3R+ZsCPp1KlTkqSoqCgXVwIAAErr1KlTCgoKKnY9j4vQ+aekHz16VNWqVZPNZnN1OZeUmZmpqKgoHTp0iEdbuBF+F/fFb+Oe+F3ck6f9LsYYnTp1SpGRkfLyKn5mDiM7kry8vFSnTh1Xl1EqgYGBHvEvYkXD7+K++G3cE7+Le/Kk3+VSIzoXMEEZAABYGmEHAABYGmHHw/j5+enJJ5+Un5+fq0vBRfhd3Be/jXvid3FPVv1dmKAMAAAsjZEdAABgaYQdAABgaYQdAABgaYQdAABgaYQdAABgaYQdF9i/f7+GDx+uBg0aKCAgQNdcc42efPJJ5eTkOPTbsmWLbrjhBvn7+ysqKkrTpk0rtK1PPvlEzZo1k7+/v1q1aqXly5c7rDfGaPLkyYqIiFBAQIBiY2O1Z88ehz5paWkaMmSIAgMDFRwcrOHDh+v06dPO/+Ae4Nlnn1WnTp1UuXJlBQcHF9nn4MGD6tWrlypXrqzQ0FA99thjysvLc+izdu1atWvXTn5+fmrUqJHmz59faDuzZ89W/fr15e/vr+joaP34448O67OysjRq1CjVqFFDVatWVf/+/ZWamuqsj1ohXO47RunEx8erd+/eioyMlM1m05IlSxzWO+t444xjX0UxdepUXXfddapWrZpCQ0PVt29f7dq1y6FPSY4l5XVccxmDcvfll1+aYcOGma+++srs27fPfPbZZyY0NNQ88sgj9j4ZGRkmLCzMDBkyxGzbts18+OGHJiAgwLzxxhv2Pt99953x9vY206ZNMzt27DBPPPGEqVSpktm6dau9z/PPP2+CgoLMkiVLzM8//2xuu+0206BBA3Pu3Dl7n1tuucW0bt3a/PDDD2b9+vWmUaNGZvDgweXzZbiZyZMnm+nTp5tx48aZoKCgQuvz8vJMy5YtTWxsrNm8ebNZvny5qVmzppk4caK9z6+//moqV65sxo0bZ3bs2GFmzZplvL29zYoVK+x9Fi5caHx9fc27775rtm/fbkaMGGGCg4NNamqqvc/9999voqKizKpVq8zGjRvN9ddfbzp16lSmn99KSvIdo3SWL19uHn/8cbNo0SIjySxevNhhvTOON8469lUUcXFxZt68eWbbtm3mp59+Mj179jR169Y1p0+ftve53LGkPI9rrkLYcRPTpk0zDRo0sC+//vrrpnr16iY7O9veNn78eNO0aVP78sCBA02vXr0cthMdHW3uu+8+Y4wxBQUFJjw83Lz44ov29enp6cbPz898+OGHxhhjduzYYSSZDRs22Pt8+eWXxmazmSNHjjj3Q3qQefPmFRl2li9fbry8vExKSoq9bc6cOSYwMND+W/3jH/8wLVq0cHjfHXfcYeLi4uzLHTt2NKNGjbIv5+fnm8jISDN16lRjzPnfqVKlSuaTTz6x99m5c6eRZBISEpzyGa3uct8xrs4fw46zjjfOOPZVZMePHzeSzLp164wxJTuWlNdxzZU4jeUmMjIyFBISYl9OSEjQn//8Z/n6+trb4uLitGvXLp08edLeJzY21mE7cXFxSkhIkCQlJycrJSXFoU9QUJCio6PtfRISEhQcHKwOHTrY+8TGxsrLy0uJiYnO/6AeLiEhQa1atVJYWJi9LS4uTpmZmdq+fbu9z6V+l5ycHCUlJTn08fLyUmxsrL1PUlKScnNzHfo0a9ZMdevWtfdB8UryHcO5nHW8ccaxryLLyMiQJPvfk5IcS8rruOZKhB03sHfvXs2aNUv33XefvS0lJcXhXzxJ9uWUlJRL9rl4/cXvK65PaGiow3ofHx+FhITY++B/ruZ3yczM1Llz53TixAnl5+df9nfx9fUtNG/o4j4oXkm+YziXs443zjj2VVQFBQUaO3asOnfurJYtW0oq2bGkvI5rrkTYcaIJEybIZrNd8vXLL784vOfIkSO65ZZbdPvtt2vEiBEuqtzaruR3AQBPM2rUKG3btk0LFy50dSlux8fVBVjJI488omHDhl2yT8OGDe3/fPToUd10003q1KmT3nzzTYd+4eHhhWbLX1gODw+/ZJ+L119oi4iIcOjTpk0be5/jx487bCMvL09paWn293u60v4ulxIeHl7o6oKS/i6BgYEKCAiQt7e3vL29L/vb5eTkKD093eH/yC7ug+LVrFnzst8xnMtZxxtnHPsqotGjR2vZsmWKj49XnTp17O0lOZaU13HNlRjZcaJatWqpWbNml3xdOA995MgRde3aVe3bt9e8efPk5eX4U8TExCg+Pl65ubn2tpUrV6pp06aqXr26vc+qVasc3rdy5UrFxMRIkho0aKDw8HCHPpmZmUpMTLT3iYmJUXp6upKSkux9Vq9erYKCAkVHRzvx23Gd0vwulxMTE6OtW7c6HLBXrlypwMBAXXvttfY+l/pdfH191b59e4c+BQUFWrVqlb1P+/btValSJYc+u3bt0sGDB+19ULySfMdwLmcdb5xx7KtIjDEaPXq0Fi9erNWrV6tBgwYO60tyLCmv45pLuXqGdEV0+PBh06hRI9OtWzdz+PBhc+zYMfvrgvT0dBMWFmbuuusus23bNrNw4UJTuXLlQpdf+vj4mJdeesns3LnTPPnkk0Veeh4cHGw+++wzs2XLFtOnT58iLwVt27atSUxMNN9++61p3Lhxhb30/MCBA2bz5s3m6aefNlWrVjWbN282mzdvNqdOnTLG/O8Sze7du5uffvrJrFixwtSqVavISzQfe+wxs3PnTjN79uwiL9H08/Mz8+fPNzt27DAjR440wcHBDldD3H///aZu3bpm9erVZuPGjSYmJsbExMSU35fh4UryHaN0Tp06Zf9vQpKZPn262bx5szlw4IAxxjnHG2cd+yqKBx54wAQFBZm1a9c6/C05e/asvc/ljiXleVxzFcKOC8ybN89IKvJ1sZ9//tl06dLF+Pn5mdq1a5vnn3++0LY+/vhj06RJE+Pr62tatGhhvvjiC4f1BQUFZtKkSSYsLMz4+fmZbt26mV27djn0+f33383gwYNN1apVTWBgoLnnnnvsf9wrmqFDhxb5u6xZs8beZ//+/aZHjx4mICDA1KxZ0zzyyCMmNzfXYTtr1qwxbdq0Mb6+vqZhw4Zm3rx5hfY1a9YsU7duXePr62s6duxofvjhB4f1586dMw8++KCpXr26qVy5svnrX//qEIhxeZf7jlE6a9asKfK/j6FDhxpjnHe8ccaxr6Io7m/JxceckhxLyuu45io2Y4wpx4EkAACAcsWcHQAAYGmEHQAAYGmEHQAAYGmEHQAAYGmEHQAAYGmEHQAAYGmEHQAAYGmEHQBO8dNPP+nFF19UXl6eq0sBAAeEHQBXLS0tTf3791fz5s3l48PzhS+YNGmSRo4c6dRt5uTkqH79+tq4caNTtwtYGWEHgCRp2LBhstlshV579+695PuMMbr77rs1fvx43XrrreVUrftLSUnRq6++qscff9zeNmzYMPXt27dQ37Vr18pmsyk9Pf2y2/X19dWjjz6q8ePHO7FawNr4XzAAdrfccovmzZvn0FarVq1C/XJycuxPirfZbFq2bFm51OdJ3n77bXXq1En16tVz+raHDBmiRx55RNu3b1eLFi2cvn3AahjZAWDn5+en8PBwh5e3t7e6du2q0aNHa+zYsapZs6bi4uIkSdu2bVOPHj1UtWpVhYWF6a677tKJEyfs2ztz5ozuvvtuVa1aVREREXr55ZfVtWtXjR071t7HZrNpyZIlDnUEBwdr/vz59uVDhw5p4MCBCg4OVkhIiPr06aP9+/fb118YMXnppZcUERGhGjVqaNSoUcrNzbX3yc7O1vjx4xUVFSU/Pz81atRI77zzjn395T7Lf//7X7Vq1UoBAQGqUaOGYmNjdebMmWK/y4ULF6p3794l/eoddO3atchRtgufuXr16urcubMWLlx4RdsHKhrCDoAS+fe//y1fX1999913mjt3rtLT03XzzTerbdu22rhxo1asWKHU1FQNHDjQ/p7HHntM69at02effaavv/5aa9eu1aZNm0q139zcXMXFxalatWpav369vvvuO1WtWlW33HKLcnJy7P3WrFmjffv2ac2aNfr3v/+t+fPnOwSmu+++Wx9++KFmzpypnTt36o033lDVqlUl6bKf5dixYxo8eLDuvfde7dy5U2vXrlW/fv1U3HOU09LStGPHDnXo0KFUn/WCRYsW6dixY/ZXv3791LRpU4WFhdn7dOzYUevXr7+i7QMVjmsfug7AXQwdOtR4e3ubKlWq2F8DBgwwxhhz4403mrZt2zr0f+aZZ0z37t0d2g4dOmQkmV27dplTp04ZX19f8/HHH9vX//777yYgIMD8/e9/t7dJMosXL3bYTlBQkJk3b54xxpj333/fNG3a1BQUFNjXZ2dnm4CAAPPVV1/Za69Xr57Jy8uz97n99tvNHXfcYYwxZteuXUaSWblyZZGf/XKfJSkpyUgy+/fvL+7rc7B582YjyRw8eNChvajvuEqVKsbf399IMidPniy0renTp5vg4GCza9cuh/ZXX33V1K9fv0T1ABUdc3YA2N10002aM2eOfblKlSr2f27fvr1D359//llr1qyxj45cbN++fTp37pxycnIUHR1tbw8JCVHTpk1LVdPPP/+svXv3qlq1ag7tWVlZ2rdvn325RYsW8vb2ti9HRERo69atks5fFu/t7a0bb7yx2H1c6rN0795d3bp1U6tWrRQXF6fu3btrwIABql69epHbO3funCTJ39+/0Lo/fseSlJiYqDvvvLNQ3y+//FITJkzQ559/riZNmjisCwgI0NmzZ4vcPwBHhB0AdlWqVFGjRo2KXXex06dPq3fv3nrhhRcK9Y2IiLjsVVwX2Gy2QqeDLp5rc/r0abVv314LFiwo9N6LJ09XqlSp0HYLCgoknQ8Gl3K5z+Lt7a2VK1fq+++/19dff61Zs2bp8ccfV2Jioho0aFDoPTVr1pQknTx5stAE76K+48OHDxfaxo4dOzRo0CA9//zz6t69e6H1aWlpRU4eB1AYc3YAXJF27dpp+/btql+/vho1auTwqlKliq655hpVqlRJiYmJ9vecPHlSu3fvdthOrVq1dOzYMfvynj17HEYs2rVrpz179ig0NLTQfoKCgkpUa6tWrVRQUKB169Zd0WeRzoenzp076+mnn9bmzZvl6+urxYsXF7m9a665RoGBgdqxY0eJ6vujEydOqHfv3urfv78efvjhIvts27ZNbdu2vaLtAxUNYQfAFRk1apTS0tI0ePBgbdiwQfv27dNXX32le+65R/n5+apataqGDx+uxx57TKtXr9a2bds0bNgweXk5HnZuvvlmvfbaa9q8ebM2btyo+++/32GUZsiQIapZs6b69Omj9evXKzk5WWvXrtVDDz1U5IhIUerXr6+hQ4fq3nvv1ZIlS+zb+Pjjj0v0WRITE/Xcc89p48aNOnjwoBYtWqTffvtNzZs3L3J/Xl5eio2N1bfffntF323//v1VuXJlPfXUU0pJSbG/8vPz7X3Wr19f5IgPgMIIOwCuSGRkpL777jvl5+ere/fuatWqlcaOHavg4GB7oHnxxRd1ww03qHfv3oqNjVWXLl0Kzf15+eWXFRUVpRtuuEF/+9vf9Oijj6py5cr29ZUrV1Z8fLzq1q2rfv36qXnz5ho+fLiysrIUGBhY4nrnzJmjAQMG6MEHH1SzZs00YsQI+6Xjl/ssgYGBio+PV8+ePdWkSRM98cQTevnll9WjR49i9/f//t//08KFC+2n0kojPj5e27ZtU7169RQREWF/HTp0SJKUkJCgjIwMDRgwoNTbBioim/njyXIAKENdu3ZVmzZtNGPGDFeXUqaMMYqOjtbDDz+swYMHO3Xbd9xxh1q3bq1//vOfTt0uYFWM7ABAGbDZbHrzzTed/mDUnJwctWrVqti5PAAKY2QHQLmqKCM7ANwHYQcAAFgap7EAAIClEXYAAIClEXYAAIClEXYAAIClEXYAAIClEXYAAIClEXYAAIClEXYAAICl/X9VWo+hzbIkEwAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A COMPLETER\n",
    "# Transformée de Fourier réelle du signal de l'audio\n",
    "A = np.fft.fftshift(np.fft.fft(extrait_audio)) # Calcul de la FFT  du signal\n",
    "freq_A = np.fft.fftshift(np.fft.fftfreq(len(t_extrait_audio),1/freq_audio)) # Calcul de l'axe fréquentiel de la FFT\n",
    "\n",
    "amplitude_A = np.abs(A) / len(t_extrait_audio) # Récupération de l'amplitude de A\n",
    "\n",
    "plt.plot(freq_A, amplitude_A)\n",
    "plt.title(\"Amplitude de A(f)\")\n",
    "plt.xlabel(\"Fréquences (Hz)\")\n",
    "plt.ylabel(\"Amplitude\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9db77f6c",
   "metadata": {},
   "source": [
    "**_QUESTION :_** Que constatez-vous sur le spectre d'amplitude ?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "38422669",
   "metadata": {},
   "source": [
    "**_REPONSE :_** On constate deux pics anormalement haut à environ -+ 8000 Hz. Ces pics constituent sans doute le bruit."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "93bc41cf",
   "metadata": {},
   "source": [
    "Récupérez les fréquences du bruit à partir des vecteurs créés (non, vous ne l'estimez pas tout seul à partir du graphique...). Pour cela, utilisez des fonctions de recherche au niveau des indices, comme *np.argwhere* par exemple"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "4356192f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Fréquences du bruit : [[-7999.97360802]\n",
      " [ 7999.97360802]] Hz\n"
     ]
    }
   ],
   "source": [
    "# A COMPLETER\n",
    "# Récupération des fréquences du bruit\n",
    "indices_noise_freq = np.argwhere(amplitude_A > np.max(amplitude_A)*0.99) # On récupère les indices de l'amplitude maximum obtenue, correspondant au bruit\n",
    "noise_freq = freq_A[indices_noise_freq] # On récupère les fréquences correspondantes\n",
    "\n",
    "print(f\"Fréquences du bruit : {noise_freq} Hz\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cd78def7",
   "metadata": {},
   "source": [
    "Eliminez le bruit identifié en mettant les valeurs de $A(f)$ à zéro aux fréquences identifiées comme celles correspondant au bruit. Affichez de nouveau le spectre d'amplitude de $A(f)$ corrigé."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "0d0ddd08",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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AALAsggwAyzOq0M++BVAMggwA6yCvAPgNggwAALAsggwAALAsggwAALAsggwAALAsggwAALAsggwAALAsggwAALAsggwAALAsggwAALAsggwAyzPc8ReotAgyAADAsggyAADAsggyACyDI0gAfosgAwAALIsgAwAALIsgAwAALIsgAwAALIsgAwAALIsgAwAALIsgA8DyuLMvUHkRZAAAgGURZABYHgMyQOVFkAEAAJZFkAEAAJZFkAEAAJZFkAEAAJZFkAFgGYbrrAH8BkEGAABYFkEGAABYFkEGAABYFkEGAABYFkEGAABYlkuDzHPPPSebzebwatmypX1+ZmamxowZo1q1aql69eoaNGiQkpOTXVgxAABwJy4fkWnTpo1OnTplf3399df2eRMmTNDnn3+uZcuWafPmzUpMTNTAgQNdWC0Ad8Rl2UDlVcXlBVSporCwsALtaWlpWrBggT788EP17NlTkrRw4UK1atVK27dvV9euXcu7VAAA4GZcPiJz+PBh1a1bV02aNNGwYcOUkJAgSYqNjVVOTo4iIyPtfVu2bKkGDRooJiamyPVlZWUpPT3d4QXA+t77Ol7vbI2/Zr8/L9ihDT9wCBqoLFwaZLp06aJFixZp9erVmjdvnuLj43XbbbcpIyNDSUlJ8vb2VmBgoMMyoaGhSkpKKnKd06dPV0BAgP0VHh5exu8CQHl44YuDJeq39fBZPbRoZxlXA8BduPTQUp8+fex/33jjjerSpYsaNmyoTz75RH5+fte1zqlTp2rixIn26fT0dMIMAAAVlMsPLV0tMDBQzZs315EjRxQWFqbs7GylpqY69ElOTi70nJorfHx85O/v7/ACAAAVk1sFmQsXLujo0aOqU6eOOnbsKC8vL61fv94+Py4uTgkJCYqIiHBhlQAAwF249NDSE088oX79+qlhw4ZKTEzUs88+K09PT0VHRysgIEAjR47UxIkTFRQUJH9/f40bN04RERFcsQQAACS5OMicOHFC0dHROnfunIKDg9W9e3dt375dwcHBkqRXX31VHh4eGjRokLKyshQVFaU333zTlSUDAAA34tIgs3Tp0mLn+/r6au7cuZo7d245VQQAAKzErc6RAQAAKA2CDABLuvqxBKmXc1xYCQBXIsgAsKSNcaftf/+jhDfLA1DxEGQAWNK5C9n2v9Mzc11YCQBXIsgAAADLIsgAAADLIsgAAADLIsgAAADLIsgAAADLIsgAsCRz7S4AKgGCDAAAsCyCDAAAsCyCDAAAsCyCDAAAsCyCDAAAsCyCDAAAsCyCDAAAsCyCDABr4kYyAESQAQAAFkaQAQAAlkWQAQAAlkWQAQAAlkWQAQAAlkWQAQAAlkWQAWBJhuuvAYggAwAALIwgAwAALIsgAwAALIsgAwAALIsgAwAALIsgAwAALIsgAwAALIsgA8CSDLeRASCCDACLIscAkAgyAADAwggyAADAsggyAADAsggyAADAsggyAADAsggyACyJy68BSAQZAABgYQQZAABgWQQZAABgWQQZAABgWQQZAABgWQQZAABgWQQZAABgWW4TZGbMmCGbzabx48fb2zIzMzVmzBjVqlVL1atX16BBg5ScnOy6IgG4DcPzrwHITYLMd999p7feeks33nijQ/uECRP0+eefa9myZdq8ebMSExM1cOBAF1UJAADcjcuDzIULFzRs2DC98847qlmzpr09LS1NCxYs0OzZs9WzZ0917NhRCxcu1DfffKPt27cXub6srCylp6c7vAAAQMXk8iAzZswY9e3bV5GRkQ7tsbGxysnJcWhv2bKlGjRooJiYmCLXN336dAUEBNhf4eHhZVY7AABwLZcGmaVLl2rXrl2aPn16gXlJSUny9vZWYGCgQ3toaKiSkpKKXOfUqVOVlpZmfx0/ftzZZQMAADdRxVUbPn78uB5//HGtW7dOvr6+Tluvj4+PfHx8nLY+AADgvlw2IhMbG6vTp0+rQ4cOqlKliqpUqaLNmzfrjTfeUJUqVRQaGqrs7GylpqY6LJecnKywsDDXFA0AANyKy0ZkevXqpX379jm0Pfjgg2rZsqUmT56s8PBweXl5af369Ro0aJAkKS4uTgkJCYqIiHBFyQDciOHqawByYZCpUaOG2rZt69BWrVo11apVy94+cuRITZw4UUFBQfL399e4ceMUERGhrl27uqJkAADgZlwWZEri1VdflYeHhwYNGqSsrCxFRUXpzTffdHVZAADATbhVkNm0aZPDtK+vr+bOnau5c+e6piAAAODWXH4fGQAAgOtFkAEAAJZFkAEAAJZFkAEAAJZFkAFgSdxGBoBEkAFgVdwRD4AIMgAAwMIIMgAAwLIIMgAAwLIIMgAAwLIIMgAAwLIIMgAsaXdCqqtLAOAGCDIALOnT3SddXQIAN0CQAQAAllXF1QUAwPXKyzfKyct3dRkAXIggA8Cybn95o06mXnZ1GQBciCADwLJOnCfEAJUd58gAAADLIsgAAADLIsgAAADLIsgAAADLuq4gk5qaqnfffVdTp05VSkqKJGnXrl06eZIbVAEAgPJT6quW9u7dq8jISAUEBOjYsWMaNWqUgoKC9OmnnyohIUEffPBBWdQJAABQQKlHZCZOnKgRI0bo8OHD8vX1tbffdddd2rJli1OLAwAAKE6pg8x3332nhx9+uEB7vXr1lJSU5JSiAAAASqLUQcbHx0fp6ekF2n/88UcFBwc7pSgAAICSKHWQueeee/TCCy8oJydHkmSz2ZSQkKDJkydr0KBBTi8QAACgKKUOMrNmzdKFCxcUEhKiy5cv6/bbb1fTpk1Vo0YNvfjii2VRIwAAQKFKfdVSQECA1q1bp6+//lp79+7VhQsX1KFDB0VGRpZFfQAAAEW67odGdu/eXd27d3dmLQAAAKVSoiDzxhtvlHiFjz322HUXAwAAUBolCjKvvvqqw/SZM2d06dIlBQYGSvrlTr9Vq1ZVSEgIQQYAAJSbEp3sGx8fb3+9+OKLat++vQ4dOqSUlBSlpKTo0KFD6tChg/7+97+Xdb0AAAB2pb5q6ZlnntGcOXPUokULe1uLFi306quv6umnn3ZqcQAAAMUpdZA5deqUcnNzC7Tn5eUpOTnZKUUBAACURKmDTK9evfTwww9r165d9rbY2Fg9+uijXIINAADKVamDzHvvvaewsDB16tRJPj4+8vHxUefOnRUaGqp33323LGoEAAAoVKnvIxMcHKxVq1bpxx9/1A8//CBJatmypZo3b+704gAAAIpz3TfEa968OeEFAAC4VKmDzEMPPVTs/Pfee++6iwEAACiNUgeZ8+fPO0zn5ORo//79Sk1NVc+ePZ1WGAAAwLWUOsgsX768QFt+fr4effRR3XDDDU4pCgAAoCRKfdVSoSvx8NDEiRMLPMoAAACgLDklyEjS0aNHC71RHgAAQFkp9aGliRMnOkwbY3Tq1Cl9+eWXGj58uNMKAwAAuJZSB5ndu3c7THt4eCg4OFizZs265hVNAAAAzlTqILNx40anbXzevHmaN2+ejh07Jklq06aNpk2bpj59+kiSMjMzNWnSJC1dulRZWVmKiorSm2++qdDQUKfVAAAArKvU58j07NlTqampBdrT09NLffl1/fr1NWPGDMXGxmrnzp3q2bOn+vfvrwMHDkiSJkyYoM8//1zLli3T5s2blZiYqIEDB5a2ZAAAUEHZjDGmNAt4eHgoKSlJISEhDu2nT59WvXr1lJOT87sKCgoK0ssvv6zBgwcrODhYH374oQYPHixJ+uGHH9SqVSvFxMSoa9euJVpfenq6AgIClJaWJn9//99VGwDXaTTly1L1PzajbxlVAqA8lPT3u8SHlvbu3Wv/++DBg0pKSrJP5+XlafXq1apXr951lvvLOpYtW6aLFy8qIiJCsbGxysnJcXiidsuWLdWgQYNig0xWVpaysrLs0+np6dddEwAAcG8lDjLt27eXzWaTzWYr9BCSn5+f5syZU+oC9u3bp4iICGVmZqp69epavny5WrdurT179sjb21uBgYEO/UNDQx1C1G9Nnz5dzz//fKnrAAAA1lPiIBMfHy9jjJo0aaJvv/1WwcHB9nne3t4KCQmRp6dnqQto0aKF9uzZo7S0NP373//W8OHDtXnz5lKv54qpU6c6XCKenp6u8PDw614fAABwXyUOMg0bNpT0y+MInMnb21tNmzaVJHXs2FHfffedXn/9dQ0dOlTZ2dlKTU11GJVJTk5WWFhYkevz8fGRj4+PU2sEAADuqURBZuXKlerTp4+8vLy0cuXKYvvec889v6ug/Px8ZWVlqWPHjvLy8tL69es1aNAgSVJcXJwSEhIUERHxu7YBAAAqhhIFmQEDBtivVBowYECR/Ww2m/Ly8kq88alTp6pPnz5q0KCBMjIy9OGHH2rTpk1as2aNAgICNHLkSE2cOFFBQUHy9/fXuHHjFBERUeIrlgBYlzFG4z/eoxuCq+uxXs1KvXx+vtGET/aoaXB1jbuO5QFYQ4mCzNWHk5x5aOn06dN64IEHdOrUKQUEBOjGG2/UmjVr9Mc//lGS9Oqrr8rDw0ODBg1yuCEegIrv2/gUfbYnUZKuK8h8e+zX5QkyQMVV6jv7OtOCBQuKne/r66u5c+dq7ty55VQRAHdxOafko7uFyfydywOwhhIFmTfeeKPEK3zssceuuxgAAIDSKFGQefXVV0u0MpvNRpABAADlpkRBJj4+vqzrAAAAKLVSPzTyasYYlfJRTQAAAE5zXUFmwYIFatu2rXx9feXr66u2bdvq3XffdXZtAAAAxSr1VUvTpk3T7Nmz7fd0kaSYmBhNmDBBCQkJeuGFF5xeJAAAQGFKHWTmzZund955R9HR0fa2e+65RzfeeKPGjRtHkAEAAOWm1IeWcnJy1KlTpwLtHTt2VG5urlOKAgAAKIlSB5k///nPmjdvXoH2t99+W8OGDXNKUQAAACVxXXf2XbBggdauXWt/5tGOHTuUkJCgBx54QBMnTrT3mz17tnOqBAAAKESpg8z+/fvVoUMHSdLRo0clSbVr11bt2rW1f/9+ez+bzeakEgFURtzYAUBJlDrIbNy4sSzqAAAAKLXfdUM8AAAAVyr1iExmZqbmzJmjjRs36vTp08rPz3eYv2vXLqcVBwAAUJxSB5mRI0dq7dq1Gjx4sDp37sy5MAAAwGVKHWS++OILrVq1St26dSuLegAAAEqs1OfI1KtXTzVq1CiLWgAAAEql1EFm1qxZmjx5sn7++eeyqAcAAKDESn1oqVOnTsrMzFSTJk1UtWpVeXl5OcxPSUlxWnEAAADFKXWQiY6O1smTJ/XSSy8pNDSUk30BAIDLlDrIfPPNN4qJidFNN91UFvUAAACUWKnPkWnZsqUuX75cFrUAwK94RgGAEih1kJkxY4YmTZqkTZs26dy5c0pPT3d4AYAzmN+ZZDjsDVQOpT60dOedd0qSevXq5dBujJHNZlNeXp5zKgMAALgGpz40ct++fb+rGAAAgNIodZC5/fbbHaYzMjL00Ucf6d1331VsbKzGjh3rtOIAAACKc91Pv96yZYuGDx+uOnXq6JVXXlHPnj21fft2Z9YGAABQrFKNyCQlJWnRokVasGCB0tPTNWTIEGVlZWnFihVq3bp1WdUIAABQqBKPyPTr108tWrTQ3r179dprrykxMVFz5swpy9oAAACKVeIRma+++kqPPfaYHn30UTVr1qwsawIAACiREo/IfP3118rIyFDHjh3VpUsX/fOf/9TZs2fLsjYAAIBilTjIdO3aVe+8845OnTqlhx9+WEuXLlXdunWVn5+vdevWKSMjoyzrBAAAKKDUVy1Vq1ZNDz30kL7++mvt27dPkyZN0owZMxQSEqJ77rmnLGoEAAAo1HVffi1JLVq00MyZM3XixAl99NFHzqoJAACgRH5XkLnC09NTAwYM0MqVK52xOgCQ+Z0PjfzpzAXnFALArTklyACAu0lIueTqEgCUA4IMALf35d5TpV7m6JmLZVAJAHdDkAHg9sZ+tKvUy2z58UwZVALA3RBkAACAZRFkALi933viL4CKiyADAAAsiyADAAAsiyADAAAsiyADAAAsiyADAAAsiyADwC1xpRKAknBpkJk+fbpuueUW1ahRQyEhIRowYIDi4uIc+mRmZmrMmDGqVauWqlevrkGDBik5OdlFFQMoL+QYACXh0iCzefNmjRkzRtu3b9e6deuUk5Oj3r176+LFX28tPmHCBH3++edatmyZNm/erMTERA0cONCFVQMAAHdRxZUbX716tcP0okWLFBISotjYWP3hD39QWlqaFixYoA8//FA9e/aUJC1cuFCtWrXS9u3b1bVrV1eUDQAA3IRbnSOTlpYmSQoKCpIkxcbGKicnR5GRkfY+LVu2VIMGDRQTE1PoOrKyspSenu7wAgAAFZPbBJn8/HyNHz9e3bp1U9u2bSVJSUlJ8vb2VmBgoEPf0NBQJSUlFbqe6dOnKyAgwP4KDw8v69IBAICLuE2QGTNmjPbv36+lS5f+rvVMnTpVaWlp9tfx48edVCEAAHA3Lj1H5oqxY8fqiy++0JYtW1S/fn17e1hYmLKzs5WamuowKpOcnKywsLBC1+Xj4yMfH5+yLhkAALgBl47IGGM0duxYLV++XBs2bFDjxo0d5nfs2FFeXl5av369vS0uLk4JCQmKiIgo73IBAICbcemIzJgxY/Thhx/qs88+U40aNeznvQQEBMjPz08BAQEaOXKkJk6cqKCgIPn7+2vcuHGKiIjgiiUAAODaIDNv3jxJUo8ePRzaFy5cqBEjRkiSXn31VXl4eGjQoEHKyspSVFSU3nzzzXKuFAAAuCOXBhlTgnuQ+/r6au7cuZo7d245VAQAAKzEba5aAgAAKC2CDAC3VJIRWwAgyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyABwSzygAEBJEGQAuCUetQSgJAgyANxSvhOTTF4+qQioqAgyANzOO1t+0l+W7HLa+lo8/ZW2/HjGaesD4D4IMgDczourDjl1fbn5Ro/8K9ap6wTgHggyAADAsggyAFwmPTNHuXn5Ltv+pexcZebkuWz7AH4/ggwAl0hOz9SNz61V3ze+dsn2M3Py1HraGrV/Ya0Ml0gBlkWQAeAS6w+dliTFJWeUy/Zsv5k+nnJJkpSZky+b7bdzAVgFQQYAAFgWQQZApcTBJKBiIMgAqBQ4fARUTAQZAABgWQQZAABgWQQZAJXCbw8sccU1UDEQZAAAgGURZAAAgGURZABUDr85tmS4ABuoEAgyAADAsggyANzCifOXFPvz+TLdRl6+0ZYfzyjtUk6ZbgdA+ani6gIAVE6/vT9d9//dKElaM/4PZbbNxTHH9NznB9W4djW9OaxDmW0HQPlhRAaAW9l7IrVM1muT9PneU5Kk+LMXy2QbAMofQQYAAFgWQQZApcQN8YCKgSADoFLgoZFAxUSQAeBWymqgJO1yjsOtZLiPDFAxEGQAuESR4yPllC84tARUDAQZAABgWQQZAABgWQQZAG6lLM9d4XxfoOIhyAAAAMsiyAAAAMsiyABwiaIO85TX1URctQRUDAQZAABgWS4NMlu2bFG/fv1Ut25d2Ww2rVixwmG+MUbTpk1TnTp15Ofnp8jISB0+fNg1xQIoM7l5+fa/y2ugJI8hGaBCcGmQuXjxom666SbNnTu30PkzZ87UG2+8ofnz52vHjh2qVq2aoqKilJmZWc6VAihLrZ9dY/875WJ2mW0nM+fXwDRg7rYy2w6A8lPFlRvv06eP+vTpU+g8Y4xee+01Pf300+rfv78k6YMPPlBoaKhWrFih++67rzxLBVCGsnN/DRgvr4krs+3sO5lWZusG4Bpue45MfHy8kpKSFBkZaW8LCAhQly5dFBMTU+RyWVlZSk9Pd3gBAICKyW2DTFJSkiQpNDTUoT00NNQ+rzDTp09XQECA/RUeHl6mdQIAANdx2yBzvaZOnaq0tDT76/jx464uCYCby7nqZGMA1uK2QSYsLEySlJyc7NCenJxsn1cYHx8f+fv7O7wAoDgZmbmuLgHAdXLbINO4cWOFhYVp/fr19rb09HTt2LFDERERLqwMQEVjuBQbsCyXXrV04cIFHTlyxD4dHx+vPXv2KCgoSA0aNND48eP1j3/8Q82aNVPjxo31zDPPqG7duhowYIDrigZQ4RBjAOtyaZDZuXOn7rjjDvv0xIkTJUnDhw/XokWL9Ne//lUXL17U6NGjlZqaqu7du2v16tXy9fV1VckAnGRHfIqrS7BjQAawLpcGmR49ehQ7pGuz2fTCCy/ohRdeKMeqAJSHsrzxHYDKw23PkQGA8mI4uARYFkEGAMgxgGURZABUeuQYwLoIMgAAwLIIMgAqPa5aAqyLIAOg0uNkX8C6CDIAKj1GZADrIsgAKBNZuXm6d/43WhxzzNWlXFNROWbyv/fqb8v3lWstAEqHIAOgTMxe96O+O3Zez3x2wNWlXFNhN+Y8mXpZH+88rg93JOhU2mUXVAWgJAgyAMrE5rgz9r/3nUhzYSXX54XPfw1g2bn5LqwEQHEIMgDKRGLqr6MYH32X4MJKrq2wc2TWHEi2/52TR5AB3BVBBkCZSM/MLXa+rZzqcIbvj1tvRAmoLAgyACq9a121xEVNgPsiyACo9K51H5nCTgYG4B4IMgAqPUZkAOsiyAAodwnnLl3zHJrylJh6WecuZLm6DADXoYqrCwBQuRxPuaQ/vLzR1WU4+J93d0iSjs3o6+JKAJQWIzIAytV3x1JcXULpcWwJcFsEGQDlKv1yjqtLAFCBEGQAlKvDpy+4uoRS4+nYgPsiyAAoV/kWvJTZgiUDlQZBBkC5yrfg3f5TORwGuC2uWgLgVMdTLul0RmaR8604IjNn/WG1ruOvG+sHKLCqt6vLAXAVggwAp7ptZvGXVue7cY7JyMxRDV+vAu0Xs/P0wHvfqlGtqtr05B0uqAxAUTi0BKDMXT0I484jMhnXuEnfsXOXyqkSACXFiAwAp8nMySu0PTH1siZ+vEfbfzqnxLSiDzu52sOLY3U5J0+dGwe5uhQAJUSQAeA0K/ckFtq++ccz5VzJ9dl3Mk2SdMSCl4gDlRWHlgAUqzRPfrZKYCkPPDEbKB8EGQBFyszJU6tpq/Xgwm9L1D/XitdWl1JJAkpuXr5ufG6tot/eXg4VAZUbQQZAkf6z64Qyc/K1Me6XkZacvPxif8grwyBEcVdd5eUb5ecbfbU/SRlZuYr56Vz5FQZUUpwjA6BI8Wcu2v9OuZitbjM2qEeLYM27v2Oh/StBjvlvkLMVaM/LN7rjlU3y9fLQrTfULv/CgEqKIAOgSFcHkzfWH9blnDx9tT+pyP7rDiaXfVEulpiaqQa1qhZoP3n+shJSfrk8+1L2r1dvGWNksxUMPgCcg0NLAEpk0TfHXF2CW4hLzii0/eqscuL8Zfvfee58B0CgAiDIACjSpezibxBXGXkUMbjiWcSMXIIMUKYIMgCK9NG3x11dgtvxKOIwUVHtPxYxggPAOQgyAFAKx85dLLTdo4i9aWZOxb8kHXAlggyAAo6euaAPYo4VOT8jM6f8inEz3x9PLaI9rdD2L/cm6t2tPyn1UnYZVgVUXgQZAAX0mrVZ0z47UOT80R/ElmM17mVFEY9hGPXBzkLb34/5Wf/48pDav7CuLMsCKi2CDIBSK+zwyr+2/+yCSlyjqFEZAOWPIANUUj+duaCnlu/T8f/e++SK304X5lRapo6d/SXMnL+Yrbkbj+jpFfvLpE531H/uNr2z5Sfl5v1y/sueEgab394VOfbnFE37bL/SK/GhOuD3spkK/mSz9PR0BQQEKC0tTf7+/q4uByhzxhjN2XBER05f0Ov3tS/yZmydX/w/nc7IUrOQ6lo38XZ7e6MpX5Z4W71ahmj9D6d/d81W9j9dGujDHQkl6rtybDfdWD/QPn3lsx7WpYFe/FO7QpdJu5yjhxfv1P1dG+ruG+v+7noBqyjp7zd39gUqkEvZuZq19kct+DpekrTy+0QdebGPqng6Dr7m5xudzsiSJB0+fUHnL2br3rdidPTMhVJtr7KHGEklDjGS9L+rf9C2I+cU3bmBhnVpYG//ct+pQoPMxaxc3fT8WknS9p9SlJdvdPeNdYu8Zw1QGTEiA1QghY2mBFXzVt92dXRj/QDd2ylcX+xN1NgPd7ugOlzLijHd1D48ULPWxkmS5mw4Umi/YzP6lmdZgEswIgNUIsYYPf/5wULnpVzM1uL/noi7LPaEvo1PKc/SUAoD5m7TwA719Omuk8X2O5CYpjZ1A8qpKsC9MSIDWNS38Ska8laMgqp5K+Ui9yipjNrU9Zevl6fm399RwTV8XF0O4FQl/f0myABl6FJ2rtYdTFY17ypqWaeG6tf89anJz6zYr2PnLqp1HX/d1a6OcvON/YfpasYYJaZl6uNvE/TGhiMa1KG+/rPrRHm/FVjA2Duaavfx83oyqqXqBfqpdnXvAid7p1zM1onzl3T2Qpb2n0zXZ3tOavQfmmjoLb+es7P/ZJrSLufo7IUszsmByxBk/osgg/Ly/fFUNapVTZ99f1LTPjug25rV1tbDZwv0G3FrI6Veyi7yxmqSVC/QT81Dq2tj3JmyLBmVxIt/aqunlhd/efxTd7XSN0fPFvpvrnfrUK09mKx/jeyiRrWrKis3XzcEVy+rcgFJFSzIzJ07Vy+//LKSkpJ00003ac6cOercuXOJliXIoDBX/tn/fO6SLufkqVUdf+0/mabzl7J1W7NgHU+5pBW7Tyq4ho/yjNGXe0+pUe1q2vHTOR09U/izdgBIwTV81O/Gujp+/pIiW4Uo/XKugqp5q0+7MPl5eerTXSfVvVlthdTw0bfxKWoWWkOBfl6y2VTkrQJQOVWYIPPxxx/rgQce0Pz589WlSxe99tprWrZsmeLi4hQSEnLN5QkyFc+VQy3nL2Yr1N9Xm+JO65uj51Qv0E/fHD2rXQmpri4RQBl5vFczXc7J04nzl3Rvp3A1D62hzJw81azqraBq3q4uD05UYYJMly5ddMstt+if//ynJCk/P1/h4eEaN26cpkyZUqB/VlaWsrKy7NPp6ekKDw93epB5c9MRzVwd57T1AQBgVf9+JEKdGgU5dZ0lDTJu/YiC7OxsxcbGKjIy0t7m4eGhyMhIxcTEFLrM9OnTFRAQYH+Fh4eXSW2EGAAAfvHwYtc9SNat7yNz9uxZ5eXlKTQ01KE9NDRUP/zwQ6HLTJ06VRMnTrRPXxmRcbaPR3fV0Le3O329QEXyt7ta6j+xJxWXnFHo/M6Ng9Q+PFDbjpzVgcR0VfP21Ov33ayODWuqqo+ndv2cKi9Pm05nZKmGbxXd1ixYeflGufn52nsiTffOj1FgVS/NG9ZRXZsEKd9IeflGW348IyPJz8tTQdW81SS4mi5n5+nzvYn2p3rXDfBV7zZhWnsgSYlpmYXWV7+mn+5oEWK/Dw+Awm2Y1MNl23brQ0uJiYmqV6+evvnmG0VERNjb//rXv2rz5s3asWPHNdfBOTIAAFhPhTi0VLt2bXl6eio5OdmhPTk5WWFhYS6qCgAAuAu3DjLe3t7q2LGj1q9fb2/Lz8/X+vXrHUZoAABA5eTW58hI0sSJEzV8+HB16tRJnTt31muvvaaLFy/qwQcfdHVpAADAxdw+yAwdOlRnzpzRtGnTlJSUpPbt22v16tUFTgAGAACVj1uf7OsMnOwLAID1VIiTfQEAAIpDkAEAAJZFkAEAAJZFkAEAAJZFkAEAAJZFkAEAAJZFkAEAAJZFkAEAAJbl9nf2/b2u3O8vPT3dxZUAAICSuvK7fa379lb4IJORkSFJCg8Pd3ElAACgtDIyMhQQEFDk/Ar/iIL8/HwlJiaqRo0astlsri6nWOnp6QoPD9fx48d5nIKb4btxT3wv7onvxT1Z7XsxxigjI0N169aVh0fRZ8JU+BEZDw8P1a9f39VllIq/v78l/pFVRnw37onvxT3xvbgnK30vxY3EXMHJvgAAwLIIMgAAwLIIMm7Ex8dHzz77rHx8fFxdCn6D78Y98b24J74X91RRv5cKf7IvAACouBiRAQAAlkWQAQAAlkWQAQAAlkWQAQAAlkWQAQAAlkWQcbJjx45p5MiRaty4sfz8/HTDDTfo2WefVXZ2tkO/vXv36rbbbpOvr6/Cw8M1c+bMAutatmyZWrZsKV9fX7Vr106rVq1ymG+M0bRp01SnTh35+fkpMjJShw8fduiTkpKiYcOGyd/fX4GBgRo5cqQuXLjg/DduAS+++KJuvfVWVa1aVYGBgYX2SUhIUN++fVW1alWFhIToySefVG5urkOfTZs2qUOHDvLx8VHTpk21aNGiAuuZO3euGjVqJF9fX3Xp0kXffvutw/zMzEyNGTNGtWrVUvXq1TVo0CAlJyc7661WCtf6jFE6W7ZsUb9+/VS3bl3ZbDatWLHCYb6z9jfO2PdVJtOnT9ctt9yiGjVqKCQkRAMGDFBcXJxDn5LsT8pr3+YSBk711VdfmREjRpg1a9aYo0ePms8++8yEhISYSZMm2fukpaWZ0NBQM2zYMLN//37z0UcfGT8/P/PWW2/Z+2zbts14enqamTNnmoMHD5qnn37aeHl5mX379tn7zJgxwwQEBJgVK1aY77//3txzzz2mcePG5vLly/Y+d955p7npppvM9u3bzdatW03Tpk1NdHR0+XwYbmbatGlm9uzZZuLEiSYgIKDA/NzcXNO2bVsTGRlpdu/ebVatWmVq165tpk6dau/z008/mapVq5qJEyeagwcPmjlz5hhPT0+zevVqe5+lS5cab29v895775kDBw6YUaNGmcDAQJOcnGzv88gjj5jw8HCzfv16s3PnTtO1a1dz6623lun7r0hK8hmjdFatWmWeeuop8+mnnxpJZvny5Q7znbG/cda+rzKJiooyCxcuNPv37zd79uwxd911l2nQoIG5cOGCvc+19ifluW9zBYJMOZg5c6Zp3LixffrNN980NWvWNFlZWfa2yZMnmxYtWtinhwwZYvr27euwni5dupiHH37YGGNMfn6+CQsLMy+//LJ9fmpqqvHx8TEfffSRMcaYgwcPGknmu+++s/f56quvjM1mMydPnnTum7SQhQsXFhpkVq1aZTw8PExSUpK9bd68ecbf39/+Xf31r381bdq0cVhu6NChJioqyj7duXNnM2bMGPt0Xl6eqVu3rpk+fbox5pfvycvLyyxbtsze59ChQ0aSiYmJccp7rOiu9Rnj9/ltkHHW/sYZ+77K7vTp00aS2bx5szGmZPuT8tq3uQqHlspBWlqagoKC7NMxMTH6wx/+IG9vb3tbVFSU4uLidP78eXufyMhIh/VERUUpJiZGkhQfH6+kpCSHPgEBAerSpYu9T0xMjAIDA9WpUyd7n8jISHl4eGjHjh3Of6MWFxMTo3bt2ik0NNTeFhUVpfT0dB04cMDep7jvJTs7W7GxsQ59PDw8FBkZae8TGxurnJwchz4tW7ZUgwYN7H1QtJJ8xnAuZ+1vnLHvq+zS0tIkyf6bUpL9SXnt21yFIFPGjhw5ojlz5ujhhx+2tyUlJTn8g5Jkn05KSiq2z9Xzr16uqD4hISEO86tUqaKgoCB7H/zq93wv6enpunz5ss6ePau8vLxrfi/e3t4FztO5ug+KVpLPGM7lrP2NM/Z9lVl+fr7Gjx+vbt26qW3btpJKtj8pr32bqxBkSmjKlCmy2WzFvn744QeHZU6ePKk777xT9957r0aNGuWiyiu26/leAMCKxowZo/3792vp0qWuLsWtVHF1AVYxadIkjRgxotg+TZo0sf+dmJioO+64Q7feeqvefvtth35hYWEFzii/Mh0WFlZsn6vnX2mrU6eOQ5/27dvb+5w+fdphHbm5uUpJSbEvb3Wl/V6KExYWVuAM/JJ+L/7+/vLz85Onp6c8PT2v+d1lZ2crNTXV4f+iru6DotWuXfuanzGcy1n7G2fs+yqrsWPH6osvvtCWLVtUv359e3tJ9ifltW9zFUZkSig4OFgtW7Ys9nXluO/JkyfVo0cPdezYUQsXLpSHh+PHHBERoS1btignJ8fetm7dOrVo0UI1a9a091m/fr3DcuvWrVNERIQkqXHjxgoLC3Pok56erh07dtj7REREKDU1VbGxsfY+GzZsUH5+vrp06eLET8d1SvO9XEtERIT27dvnsDNet26d/P391bp1a3uf4r4Xb29vdezY0aFPfn6+1q9fb+/TsWNHeXl5OfSJi4tTQkKCvQ+KVpLPGM7lrP2NM/Z9lY0xRmPHjtXy5cu1YcMGNW7c2GF+SfYn5bVvcxmXnmpcAZ04ccI0bdrU9OrVy5w4ccKcOnXK/roiNTXVhIaGmj//+c9m//79ZunSpaZq1aoFLkGsUqWKeeWVV8yhQ4fMs88+W+jl14GBgeazzz4ze/fuNf379y/0csibb77Z7Nixw3z99demWbNmlfby659//tns3r3bPP/886Z69epm9+7dZvfu3SYjI8MY8+slir179zZ79uwxq1evNsHBwYVeovjkk0+aQ4cOmblz5xZ6iaKPj49ZtGiROXjwoBk9erQJDAx0uGLgkUceMQ0aNDAbNmwwO3fuNBERESYiIqL8PgyLK8lnjNLJyMiw/zchycyePdvs3r3b/Pzzz8YY5+xvnLXvq0weffRRExAQYDZt2uTwe3Lp0iV7n2vtT8pz3+YKBBknW7hwoZFU6Otq33//venevbvx8fEx9erVMzNmzCiwrk8++cQ0b97ceHt7mzZt2pgvv/zSYX5+fr555plnTGhoqPHx8TG9evUycXFxDn3OnTtnoqOjTfXq1Y2/v7958MEH7T/clc3w4cML/V42btxo73Ps2DHTp08f4+fnZ2rXrm0mTZpkcnJyHNazceNG0759e+Pt7W2aNGliFi5cWGBbc+bMMQ0aNDDe3t6mc+fOZvv27Q7zL1++bP7yl7+YmjVrmqpVq5o//elPDmEX13atzxils3HjxkL/+xg+fLgxxnn7G2fs+yqTon5Prt7vlGR/Ul77NlewGWNMOQ4AAQAAOA3nyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAC4pj179ujll19Wbm6uq0sBAAcEGQDFSklJ0aBBg9SqVStVqcJzZq945plnNHr0aKeuMzs7W40aNdLOnTudul6gIiPIAJXAiBEjZLPZCryOHDlS7HLGGD3wwAOaPHmy7r777nKq1v0lJSXp9ddf11NPPWVvGzFihAYMGFCg76ZNm2Sz2ZSamnrN9Xp7e+uJJ57Q5MmTnVgtULHxv1dAJXHnnXdq4cKFDm3BwcEF+mVnZ9ufGG6z2fTFF1+US31W8u677+rWW29Vw4YNnb7uYcOGadKkSTpw4IDatGnj9PUDFQ0jMkAl4ePjo7CwMIeXp6enevToobFjx2r8+PGqXbu2oqKiJEn79+9Xnz59VL16dYWGhurPf/6zzp49a1/fxYsX9cADD6h69eqqU6eOZs2apR49emj8+PH2PjabTStWrHCoIzAwUIsWLbJPHz9+XEOGDFFgYKCCgoLUv39/HTt2zD7/ykjHK6+8ojp16qhWrVoaM2aMcnJy7H2ysrI0efJkhYeHy8fHR02bNtWCBQvs86/1Xv7973+rXbt28vPzU61atRQZGamLFy8W+VkuXbpU/fr1K+lH76BHjx6Fjo5dec81a9ZUt27dtHTp0utaP1DZEGQA6P3335e3t7e2bdum+fPnKzU1VT179tTNN9+snTt3avXq1UpOTtaQIUPsyzz55JPavHmzPvvsM61du1abNm3Srl27SrXdnJwcRUVFqUaNGtq6dau2bdum6tWr684771R2dra938aNG3X06FFt3LhR77//vhYtWuQQhh544AF99NFHeuONN3To0CG99dZbql69uiRd872cOnVK0dHReuihh3To0CFt2rRJAwcOVFHP001JSdHBgwfVqVOnUr3XKz799FOdOnXK/ho4cKBatGih0NBQe5/OnTtr69at17V+oNJx7cO3AZSH4cOHG09PT1OtWjX7a/DgwcYYY26//XZz8803O/T/+9//bnr37u3Qdvz4cSPJxMXFmYyMDOPt7W0++eQT+/xz584ZPz8/8/jjj9vbJJnly5c7rCcgIMAsXLjQGGPM4sWLTYsWLUx+fr59flZWlvHz8zNr1qyx196wYUOTm5tr73PvvfeaoUOHGmOMiYuLM5LMunXrCn3v13ovsbGxRpI5duxYUR+fg927dxtJJiEhwaG9sM+4WrVqxtfX10gy58+fL7Cu2bNnm8DAQBMXF+fQ/vrrr5tGjRqVqB6gsuMcGaCSuOOOOzRv3jz7dLVq1ex/d+zY0aHv999/r40bN9pHNa529OhRXb58WdnZ2erSpYu9PSgoSC1atChVTd9//72OHDmiGjVqOLRnZmbq6NGj9uk2bdrI09PTPl2nTh3t27dP0i+Xhnt6eur2228vchvFvZfevXurV69eateunaKiotS7d28NHjxYNWvWLHR9ly9fliT5+voWmPfbz1iSduzYofvvv79A36+++kpTpkzR559/rubNmzvM8/Pz06VLlwrdPgBHBBmgkqhWrZqaNm1a5LyrXbhwQf369dP//u//Fuhbp06da17tdIXNZitwiObqc1suXLigjh07asmSJQWWvfpEZC8vrwLrzc/Pl/TLj35xrvVePD09tW7dOn3zzTdau3at5syZo6eeeko7duxQ48aNCyxTu3ZtSdL58+cLnCxd2Gd84sSJAus4ePCg7rvvPs2YMUO9e/cuMD8lJaXQE7EBFMQ5MgAK6NChgw4cOKBGjRqpadOmDq9q1arphhtukJeXl3bs2GFf5vz58/rxxx8d1hMcHKxTp07Zpw8fPuww0tChQwcdPnxYISEhBbYTEBBQolrbtWun/Px8bd68+brei/RLMOrWrZuef/557d69W97e3lq+fHmh67vhhhvk7++vgwcPlqi+3zp79qz69eunQYMGacKECYX22b9/v26++ebrWj9Q2RBkABQwZswYpaSkKDo6Wt99952OHj2qNWvW6MEHH1ReXp6qV6+ukSNH6sknn9SGDRu0f/9+jRgxQh4ejruUnj176p///Kd2796tnTt36pFHHnEYXRk2bJhq166t/v37a+vWrYqPj9emTZv02GOPFTqSUZhGjRpp+PDheuihh7RixQr7Oj755JMSvZcdO3bopZde0s6dO5WQkKBPP/1UZ86cUatWrQrdnoeHhyIjI/X1119f12c7aNAgVa1aVc8995ySkpLsr7y8PHufrVu3FjpSA6AgggyAAurWratt27YpLy9PvXv3Vrt27TR+/HgFBgbaw8rLL7+s2267Tf369VNkZKS6d+9e4FybWbNmKTw8XLfddpv+53/+R0888YSqVq1qn1+1alVt2bJFDRo00MCBA9WqVSuNHDlSmZmZ8vf3L3G98+bN0+DBg/WXv/xFLVu21KhRo+yXT1/rvfj7+2vLli2666671Lx5cz399NOaNWuW+vTpU+T2/t//+39aunSp/fBWaWzZskX79+9Xw4YNVadOHfvr+PHjkqSYmBilpaVp8ODBpV43UBnZzG8PYAPAderRo4fat2+v1157zdWllCljjLp06aIJEyYoOjraqeseOnSobrrpJv3tb39z6nqBiooRGQAoJZvNprffftvpD9HMzs5Wu3btijx3BkBBjMgAcJrKMiIDwH0QZAAAgGVxaAkAAFgWQQYAAFgWQQYAAFgWQQYAAFgWQQYAAFgWQQYAAFgWQQYAAFgWQQYAAFjW/wftLrafqX2obQAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A COMPLETER\n",
    "# Mise à zéro de A(f) aux alentours du pic du bruit\n",
    "# Le bruit étant situé à -+8000 Hz, on va mettre A(f) à 0 là où -+7950 Hz < f < -+8050 Hz\n",
    "A[np.logical_and(freq_A>-8050,freq_A<-7950)] = 0\n",
    "A[np.logical_and(freq_A>7950,freq_A<8050)] = 0\n",
    "\n",
    "amplitude_A = np.abs(A) /len(t_extrait_audio) # Récupération de l'amplitude de A corrigée\n",
    "\n",
    "plt.figure()\n",
    "plt.plot(freq_A, amplitude_A)\n",
    "plt.title(\"Amplitude de A(f)\")\n",
    "plt.xlabel(\"Fréquences (Hz)\")\n",
    "plt.ylabel(\"Amplitude\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d81c1c0e",
   "metadata": {},
   "source": [
    "Effectuez la transformée de Fourier inverse pour retrouver le signal temporel corrigé, et tracez le signal de l'audio corrigé."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "50e7e400",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\Robin\\AppData\\Local\\Temp\\ipykernel_52852\\2545246538.py:11: UserWarning: No artists with labels found to put in legend.  Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n",
      "  plt.legend()\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",
    "# Transformée de Fourier inverse réelle du signal A(f)\n",
    "audio_corrige = np.fft.ifft(np.fft.ifftshift(A))\n",
    "\n",
    "# Le retour est un signal complexe, on ne garde que la partie réelle\n",
    "audio_corrige = np.real(audio_corrige)\n",
    "\n",
    "# Affichage du signal s(t) d'origine et celui après transformée de Fourier inverse\n",
    "plt.figure()\n",
    "plt.plot(t_extrait_audio,audio_corrige)\n",
    "plt.legend()\n",
    "plt.xlabel(\"Temps (s)\")\n",
    "plt.ylabel(\"Intensité\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a5167d2d",
   "metadata": {},
   "source": [
    "Dernière étape : exportez votre audio corrigé.\n",
    "\n",
    "*Attention : pour l'enregistrer, il faut que votre signal soit codé dans un certain type de données (16 bits entier). Vous pouvez changer le type de données d'un signal x via la ligne suivante:*\n",
    "\n",
    "`x = x.astype(np.int16)`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "c3321556",
   "metadata": {},
   "outputs": [],
   "source": [
    "# A COMPLETER\n",
    "# Export du meilleur extrait en fichier WAV\n",
    "wavfile.write(\"audio_corrige.wav\",freq_audio,audio_corrige.astype(np.int16))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "aee153a1",
   "metadata": {},
   "source": [
    "**_QUESTION :_** A l'écoute, comment est l'audio corrigé ? Avez-vous résolu le problème ? Est-ce que l'audio principal est impacté ?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a65f80dd",
   "metadata": {},
   "source": [
    "**_REPONSE :_** L'audio exporté est corrigé, on n'entend plus du tout le bruit. L'audio principal n'est pas impacté au final, le bruit étant très distinct de la musique au niveau des fréquences."
   ]
  }
 ],
 "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
}
