{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "63399137",
   "metadata": {},
   "source": [
    "# Traitement du Signal - TP3 : 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, tout ça sur des signaux réels et complexes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "84c09c3d",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from matplotlib import pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fb3248cb",
   "metadata": {},
   "source": [
    "## Exercice 1 : Signal réel\n",
    "\n",
    "On commence tranquillement, avec un signal simple réel : 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",
    "Etant donné qu'on travaille en numérique, il nous faut un axe temporel. Le signal évoluera de 0 à 0.1 secondes avec une fréquence d'échantillonage $f_e = 5000 Hz$.\n",
    "\n",
    "Construisez l'axe temporel, le signal sinusoïdal et tracez tout ça."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "6d7126e6",
   "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": "e4093a3d",
   "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": "ed2c509f",
   "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 un pic à $f_0$ de taille $A$\n",
    "- Dans le spectre de phase, on aura un pic à $f_0$ de taille $\\frac{-\\pi}{2}$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d3d2fe7c",
   "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",
    "Notre signal étant réel, nous allons utiliser deux fonctions :\n",
    "- *rfft*\n",
    "- *rfftfreq*\n",
    "\n",
    "**_QUESTION :_** Que font ces deux fonctions ? Que prennent-elles en entrée et qu'est-ce qu'elles retournent ?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e812f3b2",
   "metadata": {},
   "source": [
    "**_REPONSE :_** \n",
    "- *rfft* : La fonction calcule la transformée de Fourier pour un tableau 1D réel, en utilisant l'algorithme *Fast Fourier Transform*. La fonction prend en entrée un tableau $a$, et quelques paramètres optionnels : \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",
    "*rfft* retourne le tableau *out* qui est le résultat de la FFT réelle discrète.\n",
    "\n",
    "- *rfftfreq* : La fonction retourne les fréquences d'échantillonage de la transformée de Fourier discrète réelle. Cela permet notamment de calculer l'axe fréquentiel du résultat de *rfft*. La fonction 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",
    "*rfftfreq* retourne le tableau *f* correspondant aux fréquences d'échantillonage, ce qui constitue notre axe fréquentiel."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ea925b95",
   "metadata": {},
   "source": [
    "Calculez la transformée de Fourier réelle $S(f)$ de notre signal $s(t)$, et son axe fréquentiel. Extrayez ensuite le spectre d'amplitude et le spectre de phase et tracez les résultats obtenus.\n",
    "\n",
    "*Note :* Pour tracez les spectres ici, évitez *plot* car le résultat théorique ne convient pas vraiment à ce type d'affichage. Préférez un affichage en barre avec *stem*."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "db216096",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1500x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A COMPLETER\n",
    "# Transformée de Fourier réelle du signal s(t)\n",
    "S = np.fft.rfft(s) # Calcul de la FFT réelle du signal\n",
    "freq_S = np.fft.rfftfreq(len(s),1/fe) # Calcul de l'axe fréquentiel de la FFT\n",
    "\n",
    "amplitude_S = np.abs(S) # Récupération du module de S\n",
    "phase_S = np.angle(S) # Récupération de la phase de S\n",
    "\n",
    "\n",
    "plt.subplots(1,2,figsize=(15,6))\n",
    "plt.subplot(121)\n",
    "plt.stem(freq_S, amplitude_S, markerfmt=\" \")\n",
    "plt.title(\"Amplitude de S(f)\")\n",
    "plt.xlabel(\"Fréquences (Hz)\")\n",
    "plt.ylabel(\"Amplitude\")\n",
    "plt.subplot(122)\n",
    "plt.stem(freq_S, phase_S, markerfmt=\" \")\n",
    "plt.title(\"Phase de S(f)\")\n",
    "plt.xlabel(\"Fréquences (Hz)\")\n",
    "plt.ylabel(\"Phase\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "619dd18e",
   "metadata": {},
   "source": [
    "Normalement, vous devriez avoir comme graphiques ceux de l'image *S_RFFT_avant_correction.png*. Cependant, le résultat n'est pas très satifaisant par rapport à la théorie :\n",
    "\n",
    "- Le spectre d'amplitude ressemble à ce qu'on devrait avoir, mais le pîc à $f_0$ est d'une amplitude trop grande (amplitude de 50 au lieu de $A=1$)\n",
    "- Dans le spectre de phase, on a beaucoup de pics, positifs comme négatifs. Le pic à $f_0$ est en revanche bien à $-\\frac{\\pi}{2}$\n",
    "\n",
    "Il y a en effet des corrections à apporter, c'est normal :\n",
    "- Pour le spectre d'amplitude, cela est dû au calcul de la RFFT qui n'est pas normalisé. Il faut pour cela multiplier par $2/N$ avec $N$ la longueur du signal.\n",
    "- Pour le spectre de phase, les nombreux pics sont calculés avec une amplitude nulle, donc il faut les ignorer (résultat pas pertinent). De ce fait, il ne faut garder uniquement les phases aux fréquences dont l'amplitude est supérieure à 1% de l'amplitude max obtenue.\n",
    "\n",
    "Corrigez vos deux graphes avec les indications données ci-dessus."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "d540ee14",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1500x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A COMPLETER\n",
    "# Correction des graphes d'amplitudes et de phase de s(t)\n",
    "\n",
    "amplitude_S = np.abs(S) *2/len(s) # Correction de l'amplitude avec le facteur de normalisation\n",
    "\n",
    "phase_S = np.angle(S) # Récupération de la phase de S\n",
    "phase_S[amplitude_S<0.01*phase_S.max()] = 0 # Correction de la phase en mettant à zéro les points où l'amplitude est inférieure à 1% du max de l'amplitude\n",
    "\n",
    "# Affichage des spectres corrigés\n",
    "plt.subplots(1,2,figsize=(15,6))\n",
    "plt.subplot(121)\n",
    "plt.stem(freq_S, amplitude_S, markerfmt=\" \")\n",
    "plt.title(\"Amplitude de S(f)\")\n",
    "plt.xlabel(\"Fréquences (Hz)\")\n",
    "plt.ylabel(\"Amplitude\")\n",
    "plt.subplot(122)\n",
    "plt.stem(freq_S, phase_S, markerfmt=\" \")\n",
    "plt.title(\"Phase de S(f)\")\n",
    "plt.xlabel(\"Fréquences (Hz)\")\n",
    "plt.ylabel(\"Phase\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dafd549f",
   "metadata": {},
   "source": [
    "Si tout est ok, vous devriez avoir les mêmes graphes que ceux de l'image *S_RFFT_apres_correction.png*. Une dernière étape maintenant : on va faire une transformée de Fourier inverse de notre signal $S(f)$, afin de retrouver notre signal d'origine $s(t)$. Pour cela, trouvez la fonction à utiliser dans la documentation du package *numpy.fft*."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "9509d540",
   "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",
    "# Transformée de Fourier inverse réelle du signal S(f)\n",
    "s_ifft = np.fft.irfft(S)\n",
    "\n",
    "# Affichage du signal s(t) d'origine et celui après transformée de Fourier inverse\n",
    "plt.figure()\n",
    "plt.plot(t,s,label='s(t)')\n",
    "plt.plot(t,s_ifft,label='s_ifft(t)')\n",
    "plt.legend()\n",
    "plt.xlabel(\"Temps (s)\")\n",
    "plt.ylabel(\"Intensité\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6bcd7e08",
   "metadata": {},
   "source": [
    "Normalement, vous devriez retrouver **exactement** le même signal que celui d'origine (à $1e^{-15}$ près). "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cf59dd1e",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "## Exercice 2 : Ca devient plus... complexe...\n",
    "\n",
    "On va refaire les mêmes opérations que durant le précédent exercice, mais cette fois avec un signal complexe:\n",
    "\n",
    "\\begin{equation*}\n",
    "    x(t) = A e^{j (2 \\pi f_0 t- \\frac{\\pi}{2})}\n",
    "\\end{equation*}\n",
    "\n",
    "Avec $A=1$, $f_0=50 Hz$. Le signal évoluera de 0 à 0.1 secondes avec une fréquence d'échantillonage $f_e = 1000 Hz$. \n",
    "\n",
    "Construisez le signal x avec son axe temporel, et sachant qu'il est complexe, tracez en deux sous-figures la partie réelle et la partie imaginaire."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "4e5e328b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1500x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A COMPLETER\n",
    "# Création de l'axe temporel\n",
    "T = 0.1\n",
    "fe = 1000\n",
    "t = np.arange(0,T,1/fe)\n",
    "\n",
    "# Création du signal complexe x\n",
    "A = 1\n",
    "f0 = 50\n",
    "x = A*np.exp(1j*(2*np.pi*f0*t-np.pi/2))\n",
    "\n",
    "# Affichage du module et de la phase de x(t)\n",
    "\n",
    "real_x = np.real(x)\n",
    "imag_x = np.imag(x)\n",
    "\n",
    "plt.subplots(1,2,figsize=(15,6))\n",
    "plt.subplot(121)\n",
    "plt.plot(t,real_x)\n",
    "plt.title(\"Partie réelle de x(t)\")\n",
    "plt.xlabel(\"Temps (s)\")\n",
    "plt.ylabel(\"Amplitude\")\n",
    "plt.subplot(122)\n",
    "plt.plot(t,imag_x)\n",
    "plt.title(\"Partie imaginaire de x(t)\")\n",
    "plt.xlabel(\"Temps (s)\")\n",
    "plt.ylabel(\"Phase\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "019acf5f",
   "metadata": {},
   "source": [
    "**_QUESTION :_** Quelle est l'allure attendue du spectre d'amplitude de $X(f)$ ? Et celle du spectre de phase ?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f24d4184",
   "metadata": {},
   "source": [
    "**_REPONSE :_** Le signal étant périodique, et que la DSF est déjà faite, on sait donc déjà de X(f) que:\n",
    "- Dans le spectre d'amplitude, on aura un pic à $f_0$ de taille $A$\n",
    "- Dans le spectre de phase, on aura un pic à $f_0$ de taille $\\frac{-\\pi}{2}$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0ab44f41",
   "metadata": {},
   "source": [
    "Pour réaliser une FFT avec un signal complexe, il faut utiliser d'autres fonctions que celles utilisées précédemment:\n",
    "- *fft*\n",
    "- *fftfreq*\n",
    "- *fftshift*\n",
    "\n",
    "**_QUESTION :_** Comme précédemment, décrivez le fonctionnement des fonctions citées ci-dessus, en les comparant avec leurs homologues réels."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1700f4c0",
   "metadata": {},
   "source": [
    "**_REPONSE :_** \n",
    "- *fft* : La fonction calcule la transformée de Fourier pour un tableau 1D. Elle fonctionne de la même manière que *rfft* sauf qu'elle calcule aussi pour des fréquences négatives.\n",
    "- *fftfreq* : La fonction retourne les fréquences d'échantillonage de la transformée de Fourier discrète, comme pour *rfftfreq*. Cependant, contrairement à son homologue réel, la fonction renvoit également les fréquences d'échantillonages négatives.\n",
    "- *fftshift* : La fonction a pour objectif de replacer les vecteurs issus de *fftfreq* ou *fft* afin que la fréquence à 0 Hz soit centrale. Ce décalage à faire est issu de la méthode de calcul de la FFT, qui renvoie les résutlats d'abord pour les fréquences positives, puis négatives."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "784ed411",
   "metadata": {},
   "source": [
    "A vous de faire la FFT sur x(t), avec les corrections à apporter pour replacer l'amplitude (avec un facteur de $1/N$ cette fois), et afficher uniquement les phases là où l'amplitude est supérieure à 1% du maximum. Tracez ensuite l'amplitude et la phase de X(f)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "7fd3e4c5",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "freq_X avant shift : [   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",
      "freq_X après shift : [-500. -490. -480. -470. -460. -450. -440. -430. -420. -410. -400. -390.\n",
      " -380. -370. -360. -350. -340. -330. -320. -310. -300. -290. -280. -270.\n",
      " -260. -250. -240. -230. -220. -210. -200. -190. -180. -170. -160. -150.\n",
      " -140. -130. -120. -110. -100.  -90.  -80.  -70.  -60.  -50.  -40.  -30.\n",
      "  -20.  -10.    0.   10.   20.   30.   40.   50.   60.   70.   80.   90.\n",
      "  100.  110.  120.  130.  140.  150.  160.  170.  180.  190.  200.  210.\n",
      "  220.  230.  240.  250.  260.  270.  280.  290.  300.  310.  320.  330.\n",
      "  340.  350.  360.  370.  380.  390.  400.  410.  420.  430.  440.  450.\n",
      "  460.  470.  480.  490.]\n"
     ]
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 1500x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A COMPLETER\n",
    "# Transformée de Fourier du signal x(t)\n",
    "X = np.fft.fft(x) # Calcul de la FFT du signal\n",
    "freq_X = np.fft.fftfreq(len(x),1/fe) # Calcul de l'axe fréquentiel de la FFT\n",
    "print(f\"freq_X avant shift : {freq_X}\")\n",
    "\n",
    "# Shift de X et de freq_X pour centrer la fréquence à 0\n",
    "X = np.fft.fftshift(X)\n",
    "freq_X = np.fft.fftshift(freq_X)\n",
    "print(f\"freq_X après shift : {freq_X}\")\n",
    "\n",
    "amplitude_X = np.abs(X) / len(X) # Récupération du module de X\n",
    "phase_X = np.angle(X) # Récupération de la phase de X\n",
    "phase_X[amplitude_X<0.01*amplitude_X.max()] = 0\n",
    "\n",
    "# Affichage des spectres\n",
    "plt.subplots(1,2,figsize=(15,6))\n",
    "plt.subplot(121)\n",
    "plt.stem(freq_X, amplitude_X, markerfmt=\" \")\n",
    "plt.title(\"Amplitude de X(f)\")\n",
    "plt.xlabel(\"Fréquences (Hz)\")\n",
    "plt.ylabel(\"Amplitude\")\n",
    "plt.subplot(122)\n",
    "plt.stem(freq_X, phase_X, markerfmt=\" \")\n",
    "plt.title(\"Phase de X(f)\")\n",
    "plt.xlabel(\"Fréquences (Hz)\")\n",
    "plt.ylabel(\"Phase\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2fc6824a",
   "metadata": {},
   "source": [
    "Si vous avez bien calculé la FFT (*X_FFT.png* pour comparer vos graphes), vous devriez avoir des spectres d'amplitude et de phase similaires à... $S(f)$. Alors pourquoi ?\n",
    "\n",
    "Cela est dû à la différence entre la FFT réelle et la FFT classique : \n",
    "- Pour la FFT classique, on calcule et montre les spectres sur les fréquences positives et négatives.\n",
    "- Pour la FFT réelle, on calcule et montre les spectres **uniquement** sur les fréquences positives. Théoriquement, on a des pics dans les fréquences négatives (cf. les propriétés d'une transformée de Fourier pour un signal réel), mais dans le cadre de traitement de signaux réels, on les ignore, on n'en a pas besoin, car on souhaite avoir un résultat uniquement réel."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1e626910",
   "metadata": {},
   "source": [
    "Reprenez votre code en calculant cette fois la transformée de Fourier classique (via *fft*) avec votre signal $s(t)$ afin de voir les spectres d'amplitude et de phase dans les fréquences négatives."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "6b9bbbc3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1500x600 with 2 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",
    "freq_S = np.fft.fftfreq(len(s),1/fe) # Calcul de l'axe fréquentiel de la FFT\n",
    "\n",
    "# Shift de S et de freq_S pour centrer la fréquence à 0\n",
    "S = np.fft.fftshift(S)\n",
    "freq_S = np.fft.fftshift(freq_S)\n",
    "\n",
    "amplitude_S = np.abs(S) / len(S) # Récupération du module de S\n",
    "phase_S = np.angle(S) # Récupération de la phase de S\n",
    "phase_S[amplitude_S<0.01*amplitude_S.max()] = 0\n",
    "\n",
    "plt.subplots(1,2,figsize=(15,6))\n",
    "plt.subplot(121)\n",
    "plt.stem(freq_S, amplitude_S, markerfmt=\" \")\n",
    "plt.title(\"Amplitude de S(f) (via fft)\")\n",
    "plt.xlabel(\"Fréquences (Hz)\")\n",
    "plt.ylabel(\"Amplitude\")\n",
    "plt.subplot(122)\n",
    "plt.stem(freq_S, phase_S, markerfmt=\" \")\n",
    "plt.title(\"Phase de S(f) (via fft)\")\n",
    "plt.xlabel(\"Fréquences (Hz)\")\n",
    "plt.ylabel(\"Phase\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "52deedd3",
   "metadata": {},
   "source": [
    "L'apartée sur le signal $s(t)$ est terminée. Vous pouvez comparez vos graphes avec l'image *S_FFT.png*.\n",
    "\n",
    "Il nous reste à faire la FFT inverse du signal $X(f)$ pour retrouver notre signal d'origine. Pour cela, vous allez utilisez les fonctions *ifft* et *ifftshift*. Comme précédemment, faites la FFT inverse de $X(f)$ et affichez $x(t)$ (partie réelle et partie imaginaire)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "8ea61c1d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1500x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A COMPLETER\n",
    "# Transformée de Fourier inverse du signal X(f)\n",
    "# ATTENTION : IL FAUT D'ABORD REDECALER LE SIGNAL AVEC IFFTSHIFT\n",
    "x_ifft = np.fft.ifft(np.fft.ifftshift(X))\n",
    "\n",
    "# Affichage du signal x(t) d'origine et celui après transformée de Fourier inverse\n",
    "\n",
    "real_x_ifft = np.real(x_ifft)\n",
    "imag_x_ifft = np.imag(x_ifft)\n",
    "\n",
    "plt.subplots(1,2,figsize=(15,6))\n",
    "plt.subplot(121)\n",
    "plt.plot(t, real_x, label=\"x(t)\")\n",
    "plt.plot(t, real_x_ifft, label=\"x_ifft(t)\")\n",
    "plt.title(\"Partie réelle\")\n",
    "plt.xlabel(\"Temps (s)\")\n",
    "plt.ylabel(\"Amplitude\")\n",
    "plt.legend()\n",
    "plt.subplot(122)\n",
    "plt.plot(t, imag_x, label=\"x(t)\")\n",
    "plt.plot(t, imag_x_ifft, label=\"x_ifft(t)\")\n",
    "plt.title(\"Partie imaginaire\")\n",
    "plt.xlabel(\"Temps (s)\")\n",
    "plt.ylabel(\"Phase\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6eb94d0a",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "## Exercice 3 : Va falloir appeler un plombier je crois...\n",
    "\n",
    "Dans cet exercice très rapide, on va utiliser le signal $y(t)$, qui est le même signal que $x(t)$ avec cette fois une fréquence $f_0 = 51 Hz$. Construisez le signal, l'axe temporel et affichez-le signal (partie réelle et complexe)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "2c2c089a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1500x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A COMPLETER\n",
    "# Création de l'axe temporel\n",
    "T = 0.1\n",
    "fe = 1000\n",
    "t = np.arange(0,T,1/fe)\n",
    "\n",
    "# Création du signal complexe y\n",
    "A = 1\n",
    "f0 = 51\n",
    "y = A*np.exp(1j*(2*np.pi*f0*t-np.pi/2))\n",
    "\n",
    "# Affichage du module et de la phase de y(t)\n",
    "real_y = np.real(y)\n",
    "imag_y = np.imag(y)\n",
    "\n",
    "plt.subplots(1,2,figsize=(15,6))\n",
    "plt.subplot(121)\n",
    "plt.plot(t,real_y)\n",
    "plt.title(\"Partie réelle de y(t)\")\n",
    "plt.xlabel(\"Temps (s)\")\n",
    "plt.ylabel(\"Amplitude\")\n",
    "plt.subplot(122)\n",
    "plt.plot(t,imag_y)\n",
    "plt.title(\"Partie imaginaire de y(t)\")\n",
    "plt.xlabel(\"Temps (s)\")\n",
    "plt.ylabel(\"Phase\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f1533722",
   "metadata": {},
   "source": [
    "Calculez la FFT de $y(t)$, et affichez les spectres d'amplitude et de phase de $Y(f)$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "2a0437a7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1500x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A COMPLETER\n",
    "# Transformée de Fourier du signal y(t)\n",
    "Y = np.fft.fft(y) # Calcul de la FFT du signal\n",
    "freq_Y = np.fft.fftfreq(len(y),1/fe) # Calcul de l'axe fréquentiel de la FFT\n",
    "\n",
    "# Shift de Y et de freq_Y pour centrer la fréquence à 0\n",
    "Y = np.fft.fftshift(Y)\n",
    "freq_Y = np.fft.fftshift(freq_Y)\n",
    "\n",
    "amplitude_Y = np.abs(Y) / len(Y) # Récupération du module de Y\n",
    "phase_Y = np.angle(Y) # Récupération de la phase de Y\n",
    "phase_Y[amplitude_Y<0.01*amplitude_Y.max()] = 0\n",
    "\n",
    "# Affichage des spectres\n",
    "plt.subplots(1,2,figsize=(15,6))\n",
    "plt.subplot(121)\n",
    "plt.stem(freq_Y, amplitude_Y, markerfmt=\" \")\n",
    "plt.title(\"Amplitude de Y(f)\")\n",
    "plt.xlabel(\"Fréquences (Hz)\")\n",
    "plt.ylabel(\"Amplitude\")\n",
    "plt.subplot(122)\n",
    "plt.stem(freq_Y, phase_Y, markerfmt=\" \")\n",
    "plt.title(\"Phase de Y(f)\")\n",
    "plt.xlabel(\"Fréquences (Hz)\")\n",
    "plt.ylabel(\"Phase\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2bb7b0cb",
   "metadata": {},
   "source": [
    "**_QUESTION :_** Que constatez-vous ? Est-ce que le résultat est en raccord avec ce qu'on devrait avoir théoriquement ?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b97cd755",
   "metadata": {},
   "source": [
    "**_REPONSE :_** On obtient un résultat différent. Normalement, on devrait avoir un pic unique à 51Hz de taille 1 en amplitude, et un pic unique à 51 Hz à $\\frac{-\\pi}{2}$ en phase. On retrouve le pic attendu en amplitude, proche 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": "f9f75374",
   "metadata": {},
   "source": [
    "Ce cas illustre la problématique de **fuite spectrale** (vous verrez ça dans quelques semaines en CM). 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. L'idée ici ne va pas être de corriger (on verra ça plus tard potentiellement), mais d'identifier le soucis.\n",
    "\n",
    "**_QUESTION :_** Pour quelle raison avons-nous une fuite spectrale ici ? Quelle est la cause de cette fuite ?\n",
    "\n",
    "*Note : Un indice pour identifier le problème : avez-vous regardé en détail votre axe spectral ?*"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "94fcdc03",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Axe spectral de Y(f) : [-500. -490. -480. -470. -460. -450. -440. -430. -420. -410. -400. -390.\n",
      " -380. -370. -360. -350. -340. -330. -320. -310. -300. -290. -280. -270.\n",
      " -260. -250. -240. -230. -220. -210. -200. -190. -180. -170. -160. -150.\n",
      " -140. -130. -120. -110. -100.  -90.  -80.  -70.  -60.  -50.  -40.  -30.\n",
      "  -20.  -10.    0.   10.   20.   30.   40.   50.   60.   70.   80.   90.\n",
      "  100.  110.  120.  130.  140.  150.  160.  170.  180.  190.  200.  210.\n",
      "  220.  230.  240.  250.  260.  270.  280.  290.  300.  310.  320.  330.\n",
      "  340.  350.  360.  370.  380.  390.  400.  410.  420.  430.  440.  450.\n",
      "  460.  470.  480.  490.]\n"
     ]
    }
   ],
   "source": [
    "print(f\"Axe spectral de Y(f) : {freq_Y}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6a1ec401",
   "metadata": {},
   "source": [
    "**_REPONSE :_** La raison de cette fuite spectrale est liée à notre axe spectral. Les fréquences de la grille fréquentielle vont de 500 Hz à 500 Hz ($-\\frac{f_e}{2}$ à $\\frac{f_e}{2}$), avec un pas de 10 Hz (à savoir $\\frac{f_e}{N}$ avec $N$ le nombre d'échantillons temporels, donc la longueur de l'axe temporel). De ce fait, on retrouve dans cette grille les fréquences 50 Hz, 60 Hz mais pas 51 Hz, ce qui explique cette imprécision sur les spectres d'amplitude et de phase, et donc cette fuite spectrale."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4917cdf0",
   "metadata": {},
   "source": [
    "Appliquez la transformée de Fourier inverse sur $Y(f)$ pour repasser en temporel, et comparez le résultat avec le signal $y(t)$ d'origine en traçant les parties réelles et imaginaires sur un même graphe."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "b4f53361",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1500x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A COMPLETER\n",
    "# Transformée de Fourier inverse du signal Y(f)\n",
    "y_ifft = np.fft.ifft(np.fft.ifftshift(Y))\n",
    "\n",
    "# Affichage du signal y(t) d'origine et celui après transformée de Fourier inverse\n",
    "real_y_ifft = np.real(y_ifft)\n",
    "imag_y_ifft = np.imag(y_ifft)\n",
    "\n",
    "plt.subplots(1,2,figsize=(15,6))\n",
    "plt.subplot(121)\n",
    "plt.plot(t, real_y, label=\"y(t)\")\n",
    "plt.plot(t, real_y_ifft, label=\"y_ifft(t)\")\n",
    "plt.title(\"Partie réelle\")\n",
    "plt.xlabel(\"Temps (s)\")\n",
    "plt.ylabel(\"Amplitude\")\n",
    "plt.legend()\n",
    "plt.subplot(122)\n",
    "plt.plot(t, imag_y, label=\"y(t)\")\n",
    "plt.plot(t, imag_y_ifft, label=\"y_ifft(t)\")\n",
    "plt.title(\"Partie imaginaire\")\n",
    "plt.xlabel(\"Temps (s)\")\n",
    "plt.ylabel(\"Phase\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7ca2d760",
   "metadata": {},
   "source": [
    "**_QUESTION :_** Est-ce que la fuite spectrale a altéré le signal temporel après FFT inverse ?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a7df50e2",
   "metadata": {},
   "source": [
    "**_REPONSE :_** Non, on ne voit pas de différence entre le signal original et celui issue de la FFT inverse de $Y(f)$. Cela s'explique par la nature de la DFT qui est parfaitement réversible, même avec le phénomène de fuite spectrale."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "aa65c487",
   "metadata": {},
   "source": [
    "---\n",
    "## Exercice 4 : Plein de sinus ! Pleinn de cosinus !\n",
    "\n",
    "Pour cet exercice, reprenez le signal s(t) de l'exercice 1, et son axe temporel. Effectuez une FFT réelle sur ce signal et affichez les spectres d'amplitude et de phase.\n",
    "\n",
    "\\begin{equation*}\n",
    "    s(t) = A  \\sin(2 \\pi f_{0} t)\n",
    "\\end{equation*}\n",
    "\n",
    "*Note : rien de compliqué là, c'est du CTRL+C CTRL+V de l'exercice 1...*"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "bf268125",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1500x600 with 2 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",
    "# Transformée de Fourier réelle du signal s(t)\n",
    "S = np.fft.rfft(s) # Calcul de la FFT réelle du signal\n",
    "freq_S = np.fft.rfftfreq(len(s),1/fe) # Calcul de l'axe fréquentiel de la FFT\n",
    "\n",
    "amplitude_S = np.abs(S) *2/len(s) # Correction de l'amplitude avec le facteur de normalisation\n",
    "\n",
    "phase_S = np.angle(S) # Récupération de la phase de S\n",
    "phase_S[amplitude_S<0.01*phase_S.max()] = 0 # Correction de la phase en mettant à zéro les points où l'amplitude est inférieure à 1% du max de l'amplitude\n",
    "\n",
    "# Affichage des spectres de S(f)\n",
    "plt.subplots(1,2,figsize=(15,6))\n",
    "plt.subplot(121)\n",
    "plt.stem(freq_S, amplitude_S, markerfmt=\" \")\n",
    "plt.title(\"Amplitude de S(f)\")\n",
    "plt.xlabel(\"Fréquences (Hz)\")\n",
    "plt.ylabel(\"Amplitude\")\n",
    "plt.subplot(122)\n",
    "plt.stem(freq_S, phase_S, markerfmt=\" \")\n",
    "plt.title(\"Phase de S(f)\")\n",
    "plt.xlabel(\"Fréquences (Hz)\")\n",
    "plt.ylabel(\"Phase\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "902aa8a4",
   "metadata": {},
   "source": [
    "On va s'amuser à modifier les spectres de $S(F)$ pour créer un nouveau signal $s'(t)$ : \n",
    "\n",
    "\\begin{equation*}\n",
    "    s'(t) = A  \\sin(2 \\pi f_{0} t) + B \\cos(2 \\pi f_{1} t) + C \\cos(2 \\pi f_{2} t + \\frac{\\pi}{4})\n",
    "\\end{equation*}\n",
    "\n",
    "Avec $B=3$, $C=2$, $f_1 = 20Hz$ et $f_2=10Hz$  \n",
    "\n",
    "Modifiez les spectres d'amplitude et de phase pour correspondre au signal $s'(t)$, et affichez les nouveaux spectre.\n",
    "\n",
    "*Note : Attention aux corrections de visualisation qu'on faisait pour les spectres d'amplitude et de phase...*"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "aafd8b39",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1500x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A COMPLETER\n",
    "# Modification des spectres pour avoir S'(f)\n",
    "\n",
    "B=3\n",
    "C=2\n",
    "f1=20\n",
    "f2=10\n",
    "\n",
    "amplitude_S_prime = np.abs(S)\n",
    "phase_S_prime = np.angle(S)\n",
    "\n",
    "amplitude_S_prime[freq_S==f1] = B/2*len(t)\n",
    "amplitude_S_prime[freq_S==f2] = C/2*len(t)\n",
    "\n",
    "phase_S_prime[freq_S==f1] = 0\n",
    "phase_S_prime[freq_S==f2] = np.pi/4\n",
    "\n",
    "amplitude_S_prime_visualisation = amplitude_S_prime *2/len(s) \n",
    "\n",
    "phase_S_prime_visualisation = phase_S_prime\n",
    "phase_S_prime_visualisation[amplitude_S_prime_visualisation<0.01*phase_S_prime_visualisation.max()] = 0 \n",
    "\n",
    "# Affichage des spectres de S'(f)\n",
    "plt.subplots(1,2,figsize=(15,6))\n",
    "plt.subplot(121)\n",
    "plt.stem(freq_S, amplitude_S_prime_visualisation, markerfmt=\" \")\n",
    "plt.title(\"Amplitude de S'(f)\")\n",
    "plt.xlabel(\"Fréquences (Hz)\")\n",
    "plt.ylabel(\"Amplitude\")\n",
    "plt.subplot(122)\n",
    "plt.stem(freq_S, phase_S_prime_visualisation, markerfmt=\" \")\n",
    "plt.title(\"Phase de S'(f)\")\n",
    "plt.xlabel(\"Fréquences (Hz)\")\n",
    "plt.ylabel(\"Phase\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "415a6913",
   "metadata": {},
   "source": [
    "Reconstruisez $S'(f)$ à partir de ces spectres d'amplitude et de phase. Pour rappel :\n",
    "\n",
    "\\begin{equation*}\n",
    "    S'(f) = A_{S'} \\times e^{\\phi_{S'}}\n",
    "\\end{equation*}\n",
    "\n",
    "Avec $A_{S'}$ et $\\phi_{S'}$ qui sont respectivement l'amplitude et la phase de $S'(f)$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "3a9ec053",
   "metadata": {},
   "outputs": [],
   "source": [
    "# A COMPLETER\n",
    "# Reconstruction de S'(f)\n",
    "S_prime = amplitude_S_prime * np.exp(1j*phase_S_prime)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bdfea3b1",
   "metadata": {},
   "source": [
    "Effectuez la FFT inverse réelle de $S'(f)$ pour obtenir $s'(t)$. Comparez le résultat en construisant temporellement le signal $s'(t)$ séparément (avec la formule originale) et vérifiez que vous obtenez le même résultat en les traçant sur une même figure."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "aeca42b2",
   "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",
    "# FFT inverse réelle de S'(f)\n",
    "s_prime = np.fft.irfft(S_prime)\n",
    "\n",
    "# Construction de s'(t) à partir de la formule originale\n",
    "s_prime_reel = A*np.sin(2*np.pi*f0*t) + B*np.cos(2*np.pi*f1*t) + C*np.cos(2*np.pi*f2*t+np.pi/4)\n",
    "\n",
    "# Tracé des deux signaux sur la même figure\n",
    "plt.figure()\n",
    "plt.plot(t,s_prime,label=\"s'(t) (FFT)\")\n",
    "plt.plot(t,s_prime_reel,label=\"s'(t) (formule originale)\")\n",
    "plt.legend()\n",
    "plt.xlabel(\"Temps (s)\")\n",
    "plt.ylabel(\"Intensité\")\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "21fefcb7",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "## Exercice 5 : 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": "ee57fe4e",
   "metadata": {},
   "source": [
    "Chargez le fichier *audio.wav*, et tracez le signal (avec le bon axe temporel hein !)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "a1ac82b9",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\Robin\\AppData\\Local\\Temp\\ipykernel_492504\\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": "95521d42",
   "metadata": {},
   "source": [
    "**_QUESTION :_** A l'écoute de l'audio, que constatez-vous ? A quoi ressemble le bruit ? "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7c77f8dd",
   "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": "2b34a644",
   "metadata": {},
   "source": [
    "Effectuez une FFT sur votre audio pour obtenir $A(f)$ et affichez uniquement l'amplitude fréquentielle. \n",
    "\n",
    "*Note : notre signal est réel, donc choisissez les bonnes fonctions...*\n",
    "\n",
    "*Note 2 : La fonction stem peut prendre beaucoup de temps. Vous pouvez la remplacer par plot pour être plus efficace*"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "b0499256",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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AAFgK4QYAAFiKR8PNlClT1Lp1a/n7+8vf318RERH69ttvr7nMl19+qWbNmsnX11etWrXS4sWLS6haAABQFng03NStW1dvv/22tmzZos2bN+uee+5R3759tXv37gL7b9iwQdHR0Ro+fLi2bdumfv36qV+/ftq1a1cJVw4AAEormzHGeLqIq9WoUUPjx4/X8OHD880bNGiQMjIytHDhQkdb586d1bZtW02dOrVI609LS1NAQIBSU1Pl7+/vtrqB0qTBmEWSpOqVKmrb6909XA0A3DxXvr9LzTU3ubm5io2NVUZGhiIiIgrsEx8fr8jISKe2qKgoxcfHF7rezMxMpaWlOX0AAIB1eTzc7Ny5U1WqVJHdbteTTz6pefPmqXnz5gX2TUpKUlBQkFNbUFCQkpKSCl1/TEyMAgICHJ/Q0FC31g8AAEoXj4ebsLAwbd++XRs3btRTTz2loUOHas+ePW5b/9ixY5Wamur4HDt2zG3rBgAApU8FTxfg4+Ojxo0bS5Lat2+vTZs26e9//7s++uijfH2Dg4OVnJzs1JacnKzg4OBC12+322W3291bNAAAKLU8PnLza3l5ecrMzCxwXkREhFasWOHUtnz58kKv0QEAAOWPR0duxo4dq549e6pevXpKT0/X7NmzFRcXp6VLl0qShgwZojp16igmJkaS9Mwzz6hr166aMGGCevfurdjYWG3evFkff/yxJ3cDAACUIh4NNydPntSQIUOUmJiogIAAtW7dWkuXLtV9990nSUpISJCX1y+DS126dNHs2bP16quv6uWXX1aTJk00f/58tWzZ0lO7AAAASplS95yb4sZzblAe8JwbAFZTJp9zAwAA4A6EGwAAYCmEGwAAYCmEGwAAYCmEGwAAYCmEGwAAYCmEGwAAYCmEGwAAYCmEG8DCytUTOgHg/yPcAAAASyHcAAAASyHcAAAASyHcAAAASyHcAAAASyHcAAAASyHcAAAASyHcAAAASyHcAAAASyHcAAAASyHcAAAASyHcAAAASyHcAAAASyHcAAAASyHcAAAASyHcAAAASyHcAAAASyHcAAAASyHcAAAASyHcAAAASyHcAAAASyHcAAAASyHcAAAASyHcAAAASyHcAAAASyHcAAAASyHcAAAASyHcAAAASyHcAAAASyHcAAAASyHcABZmjKcrAICSR7gBAACWQrgBAACWQrgBAACW4tFwExMTo9tvv11Vq1ZVYGCg+vXrp/37919zmRkzZshmszl9fH19S6hiAABQ2nk03KxevVojR47U999/r+XLlys7O1vdu3dXRkbGNZfz9/dXYmKi43P06NESqhgAAJR2FTy58SVLljhNz5gxQ4GBgdqyZYt+85vfFLqczWZTcHBwcZcHAADKoFJ1zU1qaqokqUaNGtfsd/78edWvX1+hoaHq27evdu/eXWjfzMxMpaWlOX0AAIB1lZpwk5eXp2effVZ33HGHWrZsWWi/sLAwffLJJ1qwYIE+++wz5eXlqUuXLjp+/HiB/WNiYhQQEOD4hIaGFtcuAACAUsBmTOl4zNdTTz2lb7/9VuvWrVPdunWLvFx2drZuu+02RUdH689//nO++ZmZmcrMzHRMp6WlKTQ0VKmpqfL393dL7UBp02DMIklSgF9F/Tiuu4erAYCbl5aWpoCAgCJ9f3v0mpsrRo0apYULF2rNmjUuBRtJqlixosLDw3Xw4MEC59vtdtntdneUCQAAygCPnpYyxmjUqFGaN2+eVq5cqYYNG7q8jtzcXO3cuVMhISHFUCEAAChrPDpyM3LkSM2ePVsLFixQ1apVlZSUJEkKCAiQn5+fJGnIkCGqU6eOYmJiJElvvfWWOnfurMaNGyslJUXjx4/X0aNH9fvf/95j+wEAAEoPj4abKVOmSJK6devm1D59+nQNGzZMkpSQkCAvr18GmM6dO6cRI0YoKSlJ1atXV/v27bVhwwY1b968pMoGAAClWKm5oLikuHJBElBWcUExAKtx5fu71NwKDgAA4A6EGwAAYCmEGwAAYCmEGwAAYCmEGwAAYCmEGwAAYCmEGwAAYCmEGwAAYCmEGwAAYCmEGwAAYCmEGwAAYCmEGwAAYCmEGwAAYCmEGwAAYCmEGwAAYCmEGwAAYCmEG8DCjDGeLgEAShzhBgAAWArhBgAAWArhBgAAWArhBgAAWArhBgAAWArhBgAAWArhBgAAWArhBgAAWArhBgAAWArhBgAAWArhBgAAWArhBgAAWArhBgAAWArhBgAAWArhBgAAWArhBgAAWArhBgAAWArhBgAAWArhBgAAWArhBgAAWArhBgAAWArhBgAAWArhBgAAWArhBgAAWArhBgAAWArhBgAAWIpHw01MTIxuv/12Va1aVYGBgerXr5/2799/3eW+/PJLNWvWTL6+vmrVqpUWL15cAtUCAICywKPhZvXq1Ro5cqS+//57LV++XNnZ2erevbsyMjIKXWbDhg2Kjo7W8OHDtW3bNvXr10/9+vXTrl27SrByAABQWtmMMcbTRVxx6tQpBQYGavXq1frNb35TYJ9BgwYpIyNDCxcudLR17txZbdu21dSpU/P1z8zMVGZmpmM6LS1NoaGhSk1Nlb+/v/t3AigFGoxZJEny962gHW9EebgaALh5aWlpCggIKNL3d6m65iY1NVWSVKNGjUL7xMfHKzIy0qktKipK8fHxBfaPiYlRQECA4xMaGuq+goFSrtT8zwUASlCpCTd5eXl69tlndccdd6hly5aF9ktKSlJQUJBTW1BQkJKSkgrsP3bsWKWmpjo+x44dc2vdAACgdKng6QKuGDlypHbt2qV169a5db12u112u92t6wQAAKVXqQg3o0aN0sKFC7VmzRrVrVv3mn2Dg4OVnJzs1JacnKzg4ODiLBEAAJQRHj0tZYzRqFGjNG/ePK1cuVINGza87jIRERFasWKFU9vy5csVERFRXGUCAIAyxKMjNyNHjtTs2bO1YMECVa1a1XHdTEBAgPz8/CRJQ4YMUZ06dRQTEyNJeuaZZ9S1a1dNmDBBvXv3VmxsrDZv3qyPP/7YY/sBAABKD4+O3EyZMkWpqanq1q2bQkJCHJ/PP//c0SchIUGJiYmO6S5dumj27Nn6+OOP1aZNG3311VeaP3/+NS9CBgAA5YdHR26K8oiduLi4fG0PPfSQHnrooWKoCAAAlHWl5lZwAAAAdyDcAAAASyHcAAAASyHcAAAASyHcAAAASyHcAAAAS7mhcJOSkqJp06Zp7NixOnv2rCRp69atOnHihFuLAwAAcJXLz7nZsWOHIiMjFRAQoCNHjmjEiBGqUaOG5s6dq4SEBH366afFUScAAECRuDxyM3r0aA0bNkwHDhyQr6+vo71Xr15as2aNW4sDAABwlcvhZtOmTXriiSfytdepU8fxbigAAABPcTnc2O12paWl5Wv/6aefVKtWLbcUBQAAcKNcDjcPPPCA3nrrLWVnZ0uSbDabEhIS9NJLL+nBBx90e4EAAACucDncTJgwQefPn1dgYKAuXryorl27qnHjxqpatar++te/FkeNAAAAReby3VIBAQFavny51q1bpx07duj8+fNq166dIiMji6M+AAAAl7gcbq648847deedd7qzFgAAgJtWpHDzj3/8o8gr/OMf/3jDxQAAANysIoWb999/32n61KlTunDhgqpVqybp8hOLK1WqpMDAQMINAADwqCJdUHz48GHH569//avatm2rvXv36uzZszp79qz27t2rdu3a6c9//nNx1wsAAHBNLt8t9dprr2nSpEkKCwtztIWFhen999/Xq6++6tbiAAAAXOVyuElMTFROTk6+9tzcXCUnJ7ulKAAAgBvlcri599579cQTT2jr1q2Oti1btuipp57idnAAAOBxLoebTz75RMHBwerQoYPsdrvsdrs6duyooKAgTZs2rThqBAAAKDKXn3NTq1YtLV68WD/99JP27dsnSWrWrJmaNm3q9uIAAABcdcMP8WvatCmBBijtjKcLAICS53K4eeyxx645/5NPPrnhYgAAAG6Wy+Hm3LlzTtPZ2dnatWuXUlJSdM8997itMAAAgBvhcriZN29evra8vDw99dRTuvXWW91SFAAAwI1y+W6pAlfi5aXRo0fne00DAABASXNLuJGkQ4cOFfhwPwAAgJLk8mmp0aNHO00bY5SYmKhFixZp6NChbisMAADgRrgcbrZt2+Y07eXlpVq1amnChAnXvZMKAACguLkcblatWlUcdQAAALiFy9fc3HPPPUpJScnXnpaWxq3gAADA41wON3FxccrKysrXfunSJa1du9YtRQEAANyoIp+W2rFjh+PPe/bsUVJSkmM6NzdXS5YsUZ06ddxbHQAAgIuKHG7atm0rm80mm81W4OknPz8/TZo0ya3FAQAAuKrI4ebw4cMyxqhRo0b64YcfVKtWLcc8Hx8fBQYGytvbu1iKBAAAKKoih5v69etLuvyqBQAAgNKqSOHmm2++Uc+ePVWxYkV988031+z7wAMPuKUwAACAG1GkcNOvXz8lJSUpMDBQ/fr1K7SfzWZTbm6uu2oDAABwWZHCzdWnojgtBQAASjO3vTgTAACgNCjSyM0//vGPIq/wj3/8Y5H7rlmzRuPHj9eWLVuUmJioefPmXfO0V1xcnO6+++587YmJiQoODi7ydgEAgHUVKdy8//77RVqZzWZzKdxkZGSoTZs2euyxx9S/f/8iL7d//375+/s7pgMDA4u8LAAAsLYihZvDhw8Xy8Z79uypnj17urxcYGCgqlWr5v6CAABAmXdT19wYY2SMcVctRda2bVuFhITovvvu0/r166/ZNzMzU2lpaU4fAABgXTcUbv7973+rZcuW8vX1la+vr1q2bKlp06a5u7Z8QkJCNHXqVH399df6+uuvFRoaqm7dumnr1q2FLhMTE6OAgADHJzQ0tNjrBAAAnlPkJxRf8frrr2vixIl6+umnFRERIUmKj4/Xc889p4SEBL311ltuL/KKsLAwhYWFOaa7dOmiQ4cO6f3339fMmTMLXGbs2LEaPXq0YzotLY2AAwCAhbkcbqZMmaJ//etfio6OdrQ98MADat26tZ5++uliDTcF6dixo9atW1fofLvdLrvdXoIVAQAAT3L5tFR2drY6dOiQr719+/bKyclxS1Gu2L59u0JCQkp8uwAAoHRyeeTmd7/7naZMmaKJEyc6tX/88ccaPHiwS+s6f/68Dh486Jg+fPiwtm/frho1aqhevXoaO3asTpw4oU8//VSS9MEHH6hhw4Zq0aKFLl26pGnTpmnlypVatmyZq7sBAAAsyuVwI12+oHjZsmXq3LmzJGnjxo1KSEjQkCFDnK5v+XUA+rXNmzc7PZTvyrJDhw7VjBkzlJiYqISEBMf8rKwsPf/88zpx4oQqVaqk1q1b67vvvivwwX4AAKB8shkX7+UuapCw2WxauXLlDRVVnNLS0hQQEKDU1FSnBwECVtJgzCJJUlV7Be18M8rD1QDAzXPl+9vlkZtVq1bdcGEASlbJP4UKADyPF2cCAABLcXnk5tKlS5o0aZJWrVqlkydPKi8vz2n+tR6oBwAAUNxcDjfDhw/XsmXLNGDAAHXs2FE2m6046gIAALghLoebhQsXavHixbrjjjuKox4AAICb4vI1N3Xq1FHVqlWLoxYAAICb5nK4mTBhgl566SUdPXq0OOoBAAC4KS6flurQoYMuXbqkRo0aqVKlSqpYsaLT/LNnz7qtOAAAAFe5HG6io6N14sQJ/e1vf1NQUBAXFAMAgFLF5XCzYcMGxcfHq02bNsVRDwAAwE1x+ZqbZs2a6eLFi8VRi2Vl5+bJxbdcAACAG+RyuHn77bf1/PPPKy4uTmfOnFFaWprTB87OnM9UqzeWatScbZ4uBQCAcsHl01I9evSQJN17771O7cYY2Ww25ebmuqcyi/hqy3Fdys7Toh2Jmvx/nq4GAADrc+uLM3fu3HlTxQAAANwsl8NN165dnabT09M1Z84cTZs2TVu2bNGoUaPcVhwAAICrbvit4GvWrNHQoUMVEhKi9957T/fcc4++//57d9YGAADgMpdGbpKSkjRjxgz9+9//VlpamgYOHKjMzEzNnz9fzZs3L64aAQAAiqzIIzd9+vRRWFiYduzYoQ8++EA///yzJk2aVJy1AQAAuKzIIzfffvut/vjHP+qpp55SkyZNirMmS+EBzgAAlKwij9ysW7dO6enpat++vTp16qR//vOfOn36dHHWBgAA4LIih5vOnTvrX//6lxITE/XEE08oNjZWtWvXVl5enpYvX6709PTirBMAAKBIXL5bqnLlynrssce0bt067dy5U88//7zefvttBQYG6oEHHiiOGgEAAIrshm8Fl6SwsDC9++67On78uObMmeOumgAAAG7YTYWbK7y9vdWvXz9988037lidpdjEFcUAAJQkt4QbFM6It4EDAFCSCDcAAMBSCDcAAMBSCDcAAMBSCDcAAMBSCDfFjLulAAAoWYQbAABgKYQbD7iYlevpElBOGMOjCACUP4SbEvbyvJ267fUl2nE8xdOlAABgSYSbEjZ7Y4Ik6R8rDni4EgAArIlwU8xsXE8MAECJItwUs8ycPE+XAABAuUK4KWbjl+73dAkAAJQrhBsAAGAphBsAAGAphBsAAGAphBsP4dlqAAAUD8INAACwFMINAACwFI+GmzVr1qhPnz6qXbu2bDab5s+ff91l4uLi1K5dO9ntdjVu3FgzZswo9joBAEDZ4dFwk5GRoTZt2mjy5MlF6n/48GH17t1bd999t7Zv365nn31Wv//977V06dJirhQAAJQVFTy58Z49e6pnz55F7j916lQ1bNhQEyZMkCTddtttWrdund5//31FRUUVuExmZqYyMzMd02lpaTdXNAAAKNXK1DU38fHxioyMdGqLiopSfHx8ocvExMQoICDA8QkNDS3uMgEAgAeVqXCTlJSkoKAgp7agoCClpaXp4sWLBS4zduxYpaamOj7Hjh0riVKvizvBAQAoHh49LVUS7Ha77Ha7p8vIx/CgGwAAikWZGrkJDg5WcnKyU1tycrL8/f3l5+fnoaoAAEBpUqbCTUREhFasWOHUtnz5ckVERHioIgAAUNp4NNycP39e27dv1/bt2yVdvtV7+/btSkhIkHT5epkhQ4Y4+j/55JP63//+pz/96U/at2+fPvzwQ33xxRd67rnnPFH+TTl7IdvTJQAAYEkeDTebN29WeHi4wsPDJUmjR49WeHi4Xn/9dUlSYmKiI+hIUsOGDbVo0SItX75cbdq00YQJEzRt2rRCbwMvzX48luLpEgAAsCSPXlDcrVu3a15YW9DTh7t166Zt27YVY1XFJyMzx9MlAABgeWXqmpuyrsU4nqQMAEBxI9wAAABLIdwAAABLIdwAAABLIdwAAABLIdwAAABLIdwAAABLIdwAFsbrWQGUR4QbAABgKYQbAABgKYQbAABgKYSbYpCRmaO8PK52AADAEwg3bpacdkktxi3VwI/iPV0KAADlEuHGzRbtSJQkbT56zsOVAABQPhFuAACApRBuAACApRBuAACApRBuAACApRBuAACApRBu3Mxm83QFAACUb4QbAABgKYQbNzM8mBgAAI8i3BSjY2cveLoEAADKHcJNMfrLoj2eLgEAgHKHcONmV19Q/N3ek54rBACAcopwU4xyeTM4AAAljnADAAAshXADAAAshXBTShhj9PGaQ4o/dMbTpQAAUKZV8HQBVpN6MfuGllu2J1l/W7xPknTk7d7uLAkAgHKFkRs3++C7Aze0XMIZnokDAIA7EG4AAIClEG4AAIClEG4AAIClEG4AC7NdvwsAWA7hppSw8S0EAIBbEG4AAIClEG4AAIClEG4AAIClEG4AAIClEG4AAIClEG4AAICllIpwM3nyZDVo0EC+vr7q1KmTfvjhh0L7zpgxQzabzenj6+tbgtUCAIDSzOPh5vPPP9fo0aM1btw4bd26VW3atFFUVJROnjxZ6DL+/v5KTEx0fI4ePVqCFQNlh40HKAEohzwebiZOnKgRI0bo0UcfVfPmzTV16lRVqlRJn3zySaHL2Gw2BQcHOz5BQUElWLH75OTmeboEAAAsx6PhJisrS1u2bFFkZKSjzcvLS5GRkYqPjy90ufPnz6t+/foKDQ1V3759tXv37kL7ZmZmKi0tzelTWrwyb5fjz/wPGwAA9/BouDl9+rRyc3PzjbwEBQUpKSmpwGXCwsL0ySefaMGCBfrss8+Ul5enLl266Pjx4wX2j4mJUUBAgOMTGhrq9v24UZ9vPqb1B097ugwAACzF46elXBUREaEhQ4aobdu26tq1q+bOnatatWrpo48+KrD/2LFjlZqa6vgcO3ashCu+tsHTNkqSvv/fGQ9XAitiPBBAeVTBkxuvWbOmvL29lZyc7NSenJys4ODgIq2jYsWKCg8P18GDBwucb7fbZbfbb7rW4jRuwS4t35N8/Y4AAOC6PDpy4+Pjo/bt22vFihWOtry8PK1YsUIRERFFWkdubq527typkJCQ4iqz2P0nnru9AABwF4+O3EjS6NGjNXToUHXo0EEdO3bUBx98oIyMDD366KOSpCFDhqhOnTqKiYmRJL311lvq3LmzGjdurJSUFI0fP15Hjx7V73//e0/uBgAAKCU8Hm4GDRqkU6dO6fXXX1dSUpLatm2rJUuWOC4yTkhIkJfXLwNM586d04gRI5SUlKTq1aurffv22rBhg5o3b+6pXQAAAKWIzRhjPF1ESUpLS1NAQIBSU1Pl7+/v1nUbY9Rw7OKbXs+Rt3u7oRqUZw3GLJIkVfWtoJ1vRHm4GgC4ea58f5e5u6UAAACuhXADAAAshXADAAAshXADWBgP8QNQHhFuAACApRBuAACApRBu3MidN9Vfys5VXl65uksfAAC3INyUQuczc9Ry3FI9MHmdp0tBGWezcdUNgPKHcFMKfX/ojHLyjHadSHNpudU/ndKWo+eKqSoAAMoGj79+AfndyMmo5LRLGvrJD5J4wjEAoHxj5KYUyr2Ba21OpmUWQyUAAJQ9hJtS6MiZDE+XAABAmUW4KYVycvNcXobrRlEQ/l4AKI8IN6XQ1NX/u+b8rBzXww8AAOUF4caN3PVUmvOZOYXOG790n5q++q22H0tx09YAALAWwk0ZM3nVIUnS3xbt9XAlAACUToQbAABgKYQbCzLufA8EAABlDOGmjDK/usKHu2IAALiMcGNBDNwAAMozwo0bZebkun2dh06d14Hk9ALnLdmVqMmrDrp9m7COlAvZni4BAEoc75Zyo/RLhd/CfaPunbBakrT7zShVtv9yuIyRnvxsqySpY8MaquTj/cs8t1cBAEDZwciNGxXn6aCT6Zka8/WOX7Z11bzT6Zmy6ZeLbvI4LwUAKMcIN27064t83Sn2hwTFbjpW4DybTUq/9Mvph+S0S8VWBwAApR3hpoxI+lVgcb7d26ZdP6ddNa+EigIAoBTimhs3Ony6+N7mvWD7z4XO23E8RRlXvbKB01IAgPKMkRs3itt/yiPbPXw6Q7arHnSTm0e4AQCUX4SbMurq+HIi5aLTaaobzTa7f07VrhOpN1cYAAAexmmpMurqM087jqfq55Rfrsm5kdNSE5bt16SVl5+Zs+mVSNWqar/pGgEA8ARGbsqo7cdSnKZPn890/PlGTktdCTaSFP+/MzdcFwAAnka4saCbvaB47U+euXYIAAB3INy4UWl5G7cxl2tpMGaR7p0Q5/LyXryFEwBQhhFu3MhWSkJBTp7Rv9cdliQdOpXh8mmqY+cuFEdZAACUCC4otqB+k9c7TecZI28VPXhtOMQ1NwCAsouRGzcqLaelfu1mylq442f1m7xeJ1Iuuq8gAACKEeHGjdYeOO3pEgp0NiNL6w6cVoMxizRh2X7N3Xpcv/1wvfYnpSspteD3UB1ITpckjZq9TduPpeiOt1eWZMkAANwwTku50b6kdE+XUKDOMSscf776lu+oD9ZIkiIa3ZJvmfveX6Mjb/cu9tqMMXru8+3qGlZLvw2vW+zbAwBYHyM3KPS5Npeyc52mb/a02xvf7Nb4pfuc2p79fLvmb/9Zz33+402tGwCAKwg3KFT399c4TX+15fgNr+tEykXN2HBEk1cdUsqFLEmXw9K1XggKAMCNINygUAlnnW8Jf/GrHTe8rqycPMef2//lO0nSh3GHnPqs3JfsNDpUWi/QLu3yeHEqgHKOa27gki82HVP7BtV1a60qLi1393txjj/n5hl9ufmYxi/d79TnsRmbJUnvPthaf/r6cpD676g71apuwM0VXc7c7BOqAaCsY+QGLvnT1zt074TVupSdq5hv96rBmEX68ViK8vKMYr7dqwXbT0i6PHrwTOw2/WfDEc3blv901rVGga4EG0nq8891SruU7TQ/Ozcv36iOMUaJqRfVYMwiTV51UDfDGKOtCef01ZbjOnTq/E2tyxNKy8MkAcBTbKacjf2npaUpICBAqamp8vf3d+u6G4xZ5Nb14Re3N6iumlXs+nZXkqNt+rDbNX7pftWo7KN1Bwu/Df/NB1rothB/1b+lkoL8fR3tH685pAa3VNbdzQL12vxdCg7w1Xd7k7XrRFqh62pTN0ALRt0pY0ypDRE5uXlq/Mq3jumSuOsNAIqbK9/fpeK01OTJkzV+/HglJSWpTZs2mjRpkjp27Fho/y+//FKvvfaajhw5oiZNmuidd95Rr169SrBilLRNR87la3t0xqYiLTvum91uq+PH46lFCrHzR96han4VdT4zR//d8bMe7dJQgVXtOn7uon44clYPtqsjSTqfmaOqvhWVm2fk7VW0sGSMUerFbNkreCvPGOUZoxMpF9UksKqyc/O05KoAeC3nM3OUlZOnGpV9lJR6SdUqVZRvRe8iLQsApZnHR24+//xzDRkyRFOnTlWnTp30wQcf6Msvv9T+/fsVGBiYr/+GDRv0m9/8RjExMbr//vs1e/ZsvfPOO9q6datatmx53e0V18iNMUYNxy522/oAq7stxF97E9PUvn51HT2TIW8vm1rXrable5LVoX51RbUI1vpDp9WrZYj2JF4eTUtKvaTjKRc04q5Guq95kLJzjCrbvTV/+8+ORxd0blRDNavYtT8pXfVvqazKdm/5VPCSj/fls/BZuZcvbrdXcA5yObl5stls8rJxag8ojVz5/vZ4uOnUqZNuv/12/fOf/5Qk5eXlKTQ0VE8//bTGjBmTr/+gQYOUkZGhhQsXOto6d+6stm3baurUqfn6Z2ZmKjMz0zGdlpam0NBQt4eb2B8SNGbuTretDwAebJf/wZZnMjIVt/+UB6opHepU81PnRrfo6603/mgKd+jdOkT2Cl6yyabcvDzNL4WPtbg7rJZWefDvirtPiZeZ01JZWVnasmWLxo4d62jz8vJSZGSk4uPjC1wmPj5eo0ePdmqLiorS/PnzC+wfExOjN9980201Fyb1Yvb1OwGACzz9BV4anUi5WCp+Lot2JHq6hOvyZLDxNI+Gm9OnTys3N1dBQUFO7UFBQdq3b1+ByyQlJRXYPymp4OsMxo4d6xSGrozcuFt0p3qK+fZyzQ/fHqrYTcfUv10dvTegjTKycrR4Z6IGtA+Vl+3y82P2J6Vrw6Ez8vayKSntkjo2qCHfil46fT7r8rUPFby1eGeiVuw7qemP3q53vt133dc7eNmkm3nESWgNPx07ywsygZJQ1beC0i/lOKY7N6qhrJw8bU1IcbS91KOZfn2G7EJWrv6x4kAJVVn6DImorzrV/HTg5PmberDozRrTs5muHBoj6e1vC/7O8qQXo8LyPXLj13/vikvPlsHFvo1rKRUXFBcnu90uu91e7Nvx963oNAT39oOtHX+u6ltRg26v55iuf0tl1b+lsrq3uPbBf7D9L0PSd4flv/4IQPk0+r6mni6hVHjvoTaeLsHhya63erqEAo28u7GnS/AIjz7npmbNmvL29lZycrJTe3JysoKDC/7iDw4Odqk/AAAoXzwabnx8fNS+fXutWPHLW6vz8vK0YsUKRUREFLhMRESEU39JWr58eaH9AQBA+eLx01KjR4/W0KFD1aFDB3Xs2FEffPCBMjIy9Oijj0qShgwZojp16igmJkaS9Mwzz6hr166aMGGCevfurdjYWG3evFkff/yxJ3cDAACUEh4PN4MGDdKpU6f0+uuvKykpSW3bttWSJUscFw0nJCTIy+uXAaYuXbpo9uzZevXVV/Xyyy+rSZMmmj9/fpGecQMAAKzP48+5KWnF+foFAABQPFz5/ubFmQAAwFIINwAAwFIINwAAwFIINwAAwFIINwAAwFIINwAAwFIINwAAwFIINwAAwFI8/oTiknblmYVpaWkergQAABTVle/tojx7uNyFm/T0dElSaGiohysBAACuSk9PV0BAwDX7lLvXL+Tl5ennn39W1apVZbPZ3LrutLQ0hYaG6tixY7zaoRThuJROHJfSi2NTOpX342KMUXp6umrXru30zsmClLuRGy8vL9WtW7dYt+Hv718u/+KVdhyX0onjUnpxbEqn8nxcrjdicwUXFAMAAEsh3AAAAEsh3LiR3W7XuHHjZLfbPV0KrsJxKZ04LqUXx6Z04rgUXbm7oBgAAFgbIzcAAMBSCDcAAMBSCDcAAMBSCDcAAMBSCDcAAMBSCDduMnnyZDVo0EC+vr7q1KmTfvjhB0+XZClvvPGGbDab06dZs2aO+ZcuXdLIkSN1yy23qEqVKnrwwQeVnJzstI6EhAT17t1blSpVUmBgoF588UXl5OQ49YmLi1O7du1kt9vVuHFjzZgxoyR2r8xYs2aN+vTpo9q1a8tms2n+/PlO840xev311xUSEiI/Pz9FRkbqwIEDTn3Onj2rwYMHy9/fX9WqVdPw4cN1/vx5pz47duzQXXfdJV9fX4WGhurdd9/NV8uXX36pZs2aydfXV61atdLixYvdvr9lxfWOy7Bhw/L9++nRo4dTH46L+8XExOj2229X1apVFRgYqH79+mn//v1OfUryd1e5+p4yuGmxsbHGx8fHfPLJJ2b37t1mxIgRplq1aiY5OdnTpVnGuHHjTIsWLUxiYqLjc+rUKcf8J5980oSGhpoVK1aYzZs3m86dO5suXbo45ufk5JiWLVuayMhIs23bNrN48WJTs2ZNM3bsWEef//3vf6ZSpUpm9OjRZs+ePWbSpEnG29vbLFmypET3tTRbvHixeeWVV8zcuXONJDNv3jyn+W+//bYJCAgw8+fPNz/++KN54IEHTMOGDc3FixcdfXr06GHatGljvv/+e7N27VrTuHFjEx0d7ZifmppqgoKCzODBg82uXbvMnDlzjJ+fn/noo48cfdavX2+8vb3Nu+++a/bs2WNeffVVU7FiRbNz585i/xmURtc7LkOHDjU9evRw+vdz9uxZpz4cF/eLiooy06dPN7t27TLbt283vXr1MvXq1TPnz5939Cmp313l7XuKcOMGHTt2NCNHjnRM5+bmmtq1a5uYmBgPVmUt48aNM23atClwXkpKiqlYsaL58ssvHW179+41kkx8fLwx5vIvfy8vL5OUlOToM2XKFOPv728yMzONMcb86U9/Mi1atHBa96BBg0xUVJSb98Yafv0lmpeXZ4KDg8348eMdbSkpKcZut5s5c+YYY4zZs2ePkWQ2bdrk6PPtt98am81mTpw4YYwx5sMPPzTVq1d3HBdjjHnppZdMWFiYY3rgwIGmd+/eTvV06tTJPPHEE27dx7KosHDTt2/fQpfhuJSMkydPGklm9erVxpiS/d1V3r6nOC11k7KysrRlyxZFRkY62ry8vBQZGan4+HgPVmY9Bw4cUO3atdWoUSMNHjxYCQkJkqQtW7YoOzvb6Rg0a9ZM9erVcxyD+Ph4tWrVSkFBQY4+UVFRSktL0+7dux19rl7HlT4cx6I5fPiwkpKSnH6GAQEB6tSpk9NxqFatmjp06ODoExkZKS8vL23cuNHR5ze/+Y18fHwcfaKiorR//36dO3fO0Ydj5Zq4uDgFBgYqLCxMTz31lM6cOeOYx3EpGampqZKkGjVqSCq5313l8XuKcHOTTp8+rdzcXKe/eJIUFBSkpKQkD1VlPZ06ddKMGTO0ZMkSTZkyRYcPH9Zdd92l9PR0JSUlycfHR9WqVXNa5upjkJSUVOAxujLvWn3S0tJ08eLFYtoz67jyc7zWv4WkpCQFBgY6za9QoYJq1KjhlmPFv7mC9ejRQ59++qlWrFihd955R6tXr1bPnj2Vm5srieNSEvLy8vTss8/qjjvuUMuWLSWpxH53lcfvqQqeLgAoip49ezr+3Lp1a3Xq1En169fXF198IT8/Pw9WBpR+Dz/8sOPPrVq1UuvWrXXrrbcqLi5O9957rwcrKz9GjhypXbt2ad26dZ4upVxg5OYm1axZU97e3vmubk9OTlZwcLCHqrK+atWqqWnTpjp48KCCg4OVlZWllJQUpz5XH4Pg4OACj9GVedfq4+/vT4Aqgis/x2v9WwgODtbJkyed5ufk5Ojs2bNuOVb8myuaRo0aqWbNmjp48KAkjktxGzVqlBYuXKhVq1apbt26jvaS+t1VHr+nCDc3ycfHR+3bt9eKFSscbXl5eVqxYoUiIiI8WJm1nT9/XocOHVJISIjat2+vihUrOh2D/fv3KyEhwXEMIiIitHPnTqdf4MuXL5e/v7+aN2/u6HP1Oq704TgWTcOGDRUcHOz0M0xLS9PGjRudjkNKSoq2bNni6LNy5Url5eWpU6dOjj5r1qxRdna2o8/y5csVFham6tWrO/pwrG7c8ePHdebMGYWEhEjiuBQXY4xGjRqlefPmaeXKlWrYsKHT/JL63VUuv6c8fUWzFcTGxhq73W5mzJhh9uzZYx5//HFTrVo1p6vbcXOef/55ExcXZw4fPmzWr19vIiMjTc2aNc3JkyeNMZdvp6xXr55ZuXKl2bx5s4mIiDARERGO5a/cTtm9e3ezfft2s2TJElOrVq0Cb6d88cUXzd69e83kyZO5FfxX0tPTzbZt28y2bduMJDNx4kSzbds2c/ToUWPM5VvBq1WrZhYsWGB27Nhh+vbtW+Ct4OHh4Wbjxo1m3bp1pkmTJk63HKekpJigoCDzu9/9zuzatcvExsaaSpUq5bvluEKFCua9994ze/fuNePGjSvXtxxf67ikp6ebF154wcTHx5vDhw+b7777zrRr1840adLEXLp0ybEOjov7PfXUUyYgIMDExcU53YZ/4cIFR5+S+t1V3r6nCDduMmnSJFOvXj3j4+NjOnbsaL7//ntPl2QpgwYNMiEhIcbHx8fUqVPHDBo0yBw8eNAx/+LFi+YPf/iDqV69uqlUqZL57W9/axITE53WceTIEdOzZ0/j5+dnatasaZ5//nmTnZ3t1GfVqlWmbdu2xsfHxzRq1MhMnz69JHavzFi1apWRlO8zdOhQY8zl28Ffe+01ExQUZOx2u7n33nvN/v37ndZx5swZEx0dbapUqWL8/f3No48+atLT0536/Pjjj+bOO+80drvd1KlTx7z99tv5avniiy9M06ZNjY+Pj2nRooVZtGhRse13aXet43LhwgXTvXt3U6tWLVOxYkVTv359M2LEiHxfahwX9yvomEhy+r1Skr+7ytP3lM0YY0p6tAgAAKC4cM0NAACwFMINAACwFMINAACwFMINAACwFMINAACwFMINAACwFMINAACwFMINAJdt375d48ePV05OjqdLAYB8CDcAXHL27Fk9+OCDuu2221ShQgVPl1NqvPbaa3r88cfdus6srCw1aNBAmzdvdut6Aasj3ADl0LBhw2Sz2fJ9rrwlujDGGA0ZMkQvvfSS7r///hKqtvRLSkrS3//+d73yyiuOtmHDhqlfv375+sbFxclms+V7E3RBfHx89MILL+ill15yY7WA9fHfLqCc6tGjh6ZPn+7UVqtWrXz9srKy5OPjI0my2WxauHBhidRXlkybNk1dunRR/fr13b7uwYMH6/nnn9fu3bvVokULt68fsCJGboByym63Kzg42Onj7e2tbt26adSoUXr22WdVs2ZNRUVFSZJ27dqlnj17qkqVKgoKCtLvfvc7nT592rG+jIwMDRkyRFWqVFFISIgmTJigbt266dlnn3X0sdlsmj9/vlMd1apV04wZMxzTx44d08CBA1WtWjXVqFFDffv21ZEjRxzzr4yIvPfeewoJCdEtt9yikSNHKjs729EnMzNTL730kkJDQ2W329W4cWP9+9//dsy/3r589dVXatWqlfz8/HTLLbcoMjJSGRkZhf4sY2Nj1adPn6L+6J1069atwFG0K/tcvXp13XHHHYqNjb2h9QPlEeEGQD7/+c9/5OPjo/Xr12vq1KlKSUnRPffco/DwcG3evFlLlixRcnKyBg4c6FjmxRdf1OrVq7VgwQItW7ZMcXFx2rp1q0vbzc7OVlRUlKpWraq1a9dq/fr1qlKlinr06KGsrCxHv1WrVunQoUNatWqV/vOf/2jGjBlOAWnIkCGaM2eO/vGPf2jv3r366KOPVKVKFUm67r4kJiYqOjpajz32mPbu3au4uDj1799fhb1j+OzZs9qzZ486dOjg0r5eMXfuXCUmJjo+/fv3V1hYmIKCghx9OnbsqLVr197Q+oFyybMvJQfgCUOHDjXe3t6mcuXKjs+AAQOMMcZ07drVhIeHO/X/85//bLp37+7UduzYMSPJ7N+/36SnpxsfHx/zxRdfOOafOXPG+Pn5mWeeecbRJsnMmzfPaT0BAQFm+vTpxhhjZs6cacLCwkxeXp5jfmZmpvHz8zNLly511F6/fn2Tk5Pj6PPQQw+ZQYMGGWOM2b9/v5Fkli9fXuC+X29ftmzZYiSZI0eOFPbjc7Jt2zYjySQkJDi1F/Qzrly5svH19TWSzLlz5/Kta+LEiaZatWpm//79Tu1///vfTYMGDYpUDwBjuOYGKKfuvvtuTZkyxTFduXJlx5/bt2/v1PfHH3/UqlWrHKMfVzt06JAuXryorKwsderUydFeo0YNhYWFuVTTjz/+qIMHD6pq1apO7ZcuXdKhQ4cc0y1atJC3t7djOiQkRDt37pR0+TZ1b29vde3atdBtXGtfunfvrnvvvVetWrVSVFSUunfvrgEDBqh69eoFru/ixYuSJF9f33zzfv0zlqSNGzfqkUceydf322+/1ZgxY/Tf//5XTZs2dZrn5+enCxcuFLh9APkRboByqnLlymrcuHGh8652/vx59enTR++8806+viEhIde9y+oKm82W7/TO1dfKnD9/Xu3bt9esWbPyLXv1xc4VK1bMt968vDxJl4PAtVxvX7y9vbV8+XJt2LBBy5Yt06RJk/TKK69o48aNatiwYb5latasKUk6d+5cvguyC/oZHz9+PN869uzZo4cfflhvv/22unfvnm/+2bNnC7zYG0DBuOYGwHW1a9dOu3fvVoMGDdS4cWOnT+XKlXXrrbeqYsWK2rhxo2OZc+fO6aeffnJaT61atZSYmOiYPnDggNOIRLt27XTgwAEFBgbm205AQECRam3VqpXy8vK0evXqG9oX6XJYuuOOO/Tmm29q27Zt8vHx0bx58wpc36233ip/f3/t2bOnSPX92unTp9WnTx89+OCDeu655wrss2vXLoWHh9/Q+oHyiHAD4LpGjhyps2fPKjo6Wps2bdKhQ4e0dOlSPfroo8rNzVWVKlU0fPhwvfjii1q5cqV27dqlYcOGycvL+VfMPffco3/+85/atm2bNm/erCeffNJpFGbw4MGqWbOm+vbtq7Vr1+rw4cOKi4vTH//4xwJHPArSoEEDDR06VI899pjmz5/vWMcXX3xRpH3ZuHGj/va3v2nz5s1KSEjQ3LlzderUKd12220Fbs/Ly0uRkZFat27dDf1sH3zwQVWqVElvvPGGkpKSHJ/c3FxHn7Vr1xY4ogOgYIQbANdVu3ZtrV+/Xrm5uerevbtatWqlZ599VtWqVXMEmPHjx+uuu+5Snz59FBkZqTvvvDPftTsTJkxQaGio7rrrLv3f//2fXnjhBVWqVMkxv1KlSlqzZo3q1aun/v3767bbbtPw4cN16dIl+fv7F7neKVOmaMCAAfrDH/6gZs2aacSIEY5bua+3L/7+/lqzZo169eqlpk2b6tVXX9WECRPUs2fPQrf3+9//XrGxsY5TY65Ys2aNdu3apfr16yskJMTxOXbsmCQpPj5eqampGjBggMvrBsorm/n1CXAAcJNu3bqpbdu2+uCDDzxdSrEyxqhTp0567rnnFB0d7dZ1Dxo0SG3atNHLL7/s1vUCVsbIDQDcJJvNpo8//tjtLxLNyspSq1atCr0WB0DBGLkBUGzKy8gNgNKFcAMAACyF01IAAMBSCDcAAMBSCDcAAMBSCDcAAMBSCDcAAMBSCDcAAMBSCDcAAMBSCDcAAMBS/h9YHTSsN6cv0gAAAABJRU5ErkJggg==",
      "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",
    "# Transformée de Fourier réelle du signal de l'audio\n",
    "A = np.fft.rfft(extrait_audio) # Calcul de la FFT réelle du signal\n",
    "freq_A = np.fft.rfftfreq(len(t_extrait_audio),1/freq_audio) # Calcul de l'axe fréquentiel de la FFT\n",
    "\n",
    "amplitude_A = np.abs(A) # 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()\n",
    "\n",
    "plt.plot(freq_A[400000:420000], amplitude_A[400000:420000])\n",
    "plt.title(\"Amplitude de A(f) autour du pic de bruit\")\n",
    "plt.xlabel(\"Fréquences (Hz)\")\n",
    "plt.ylabel(\"Amplitude\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d8b376c9",
   "metadata": {},
   "source": [
    "**_QUESTION :_** Que constatez-vous sur le spectre d'amplitude ?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fac03f9b",
   "metadata": {},
   "source": [
    "**_REPONSE :_** On constate un pic anormalement haut à environ 8000 Hz. Ce pic est sans doute le bruit. Si on zoome sur la zone, on voit également quelques pics alentours plus réduits, probablement dûs à une fuite spectrale, comme vu dans l'exercice précédent."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "192580fc",
   "metadata": {},
   "source": [
    "Récupérez la fréquence du bruit à partir des vecteurs créés (non, vous ne l'estimez pas tout seul à partir du graphique...)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "bffc9d0a",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Fréquence du bruit : 7999.9736080231605 Hz\n"
     ]
    }
   ],
   "source": [
    "# A COMPLETER\n",
    "# Récupération de le la fréquence du bruit\n",
    "indices_noise_freq = np.argmax(amplitude_A) # On récupère l'indice de l'amplitude maximum obtenue, correspondant au bruit\n",
    "noise_freq = freq_A[indices_noise_freq] # On récupère la fréquence correspondante\n",
    "\n",
    "print(f\"Fréquence du bruit : {noise_freq} Hz\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e52d7ed8",
   "metadata": {},
   "source": [
    "Eliminez le bruit identifié en mettant les valeurs de $A(f)$ à zéro à l'endroit aux fréquences identifiées comme celles correspondant au bruit. Affichez de nouveau le spectre d'amplitude de $A(f)$ corrigé."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "f3cb29d8",
   "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",
    "# 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>7950,freq_A<8050)] = 0\n",
    "\n",
    "amplitude_A = np.abs(A)*2/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": "adf798d0",
   "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": 22,
   "id": "7cf1b124",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "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"
     ]
    },
    {
     "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.irfft(A)\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": "96dacea6",
   "metadata": {},
   "source": [
    "Dernière étape : exportez votre audio corrigé."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "2d7b0e24",
   "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": "ff721624",
   "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": "41b00321",
   "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
}
