{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "d8ac8f62",
   "metadata": {},
   "source": [
    "# Traitement du Signal - TP2 : Corrélation de signaux\n",
    "\n",
    "---\n",
    "Dans ce deuxième TP, nous allons implémenter la fonction de corrélation entre deux signaux, la tester sur plusieurs signaux, analyser les résultats en fonction des entrées, et créer notre propre Shazam. Sympa comme programme je trouve, donc on y va dès maintenant !"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "215668ef",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from matplotlib import pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ddadc6e3",
   "metadata": {},
   "source": [
    "## Exercice 1 : Commençons par développer la fonction...\n",
    "\n",
    "L'intercorrélation compare un signal x(t) et un signal y(t) retardée. Elle mesure la similitude entre ces deux signaux. La formule de l'intercorrélation des signaux f et g est la suivante :\n",
    "\n",
    "\\begin{equation*}\n",
    "C_{fg}(\\tau) = \\int_{-\\infty}^{\\infty} f(t) g^{*}(t - \\tau) \\, dt\n",
    "\\end{equation*}\n",
    "\n",
    "Avec $g^{*}$ le conjugué complexe de $g$.\n",
    "\n",
    "Dans notre cas, nous avons des signaux discrets (non continus, il y'a un échantillonage), donc le calcul de l'intercorrélation devient :\n",
    "\n",
    "\\begin{equation*}\n",
    "C_{fg}(\\tau) = \\sum_n f(n + \\tau) \\cdot g^{*}(n) \\cdot T_e\n",
    "\\end{equation*}\n",
    "\n",
    "Il faut faire attention au recouvrement entre les deux signaux : plus le retard $\\tau$ est important, plus le recouvrement entre les deux signaux est faible. $T_e$ représente ici le temps d'échantillonage."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6b7ee3b4",
   "metadata": {},
   "source": [
    "On va coder la fonction à la main, pas à pas. Tout d'abord, créez une fonction de padding. Le padding consiste à augmenter la taille d'un tableau/vecteur aux dimensions souhaitées en rajoutant des zéros pour compléter. Ici, nous voulons simplement rallonger la taille d'un signal, donc ajouter des zéros à la fin pour avoir la même longueur. Votre fonction prendra en entrée un signal de taille $N$, ainsi qu'une taille $M$ (entier). Si $M$>$N$, alors la fonction renverra le signal avec des zéros ajoutés à la fin du ce dernier pour qu'il ait une taille $M$. Dans le cas inverse, la fonction renverra le signal original."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "e7fe92f2",
   "metadata": {},
   "outputs": [],
   "source": [
    "# A compléter\n",
    "# Développement de la fonction de padding\n",
    "def padding(signal,M):\n",
    "    \"\"\"\n",
    "    Fonction de padding du signal pour l'agrandir à la taille M (si M supérieur à len(signal))\n",
    "    signal : tableau 1D Numpy, représentant un signal\n",
    "    M : entier, représentat la taille de padding attendue pour M\n",
    "    \"\"\"\n",
    "    if M<=len(signal):\n",
    "        return signal\n",
    "    out = np.zeros((M),dtype=signal.dtype)\n",
    "    out[:len(signal)] = signal\n",
    "    return out"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5d25c1ae",
   "metadata": {},
   "source": [
    "Afin de savoir si votre fonction est correcte, voici quelques tests unitaires. Si un test ne passe pas, ça ne sert à rien d'aller à la suite du TP, validez d'abord votre fonction de padding !"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "3ba22685",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Padding de x avec M = 15 : OK\n",
      "Padding de x avec M = 1 (aucun padding attendu) : OK\n",
      "Padding de x avec M = len(x) (aucun padding attendu) : OK\n"
     ]
    }
   ],
   "source": [
    "# Tests unitaires de la fonction de padding\n",
    "x = np.array([1,3,7,2,5,6,6,8,1])\n",
    "print(f\"Padding de x avec M = 15 : {'OK' if ((len(padding(x,15))==15) & (padding(x,15)==np.array([1,3,7,2,5,6,6,8,1,0,0,0,0,0,0]))).all() else 'KO'}\")\n",
    "print(f\"Padding de x avec M = 1 (aucun padding attendu) : {'OK' if ((len(padding(x,1))==len(x)) & (padding(x,1)==x).all()) else 'KO'}\")\n",
    "print(f\"Padding de x avec M = len(x) (aucun padding attendu) : {'OK' if ((len(padding(x,len(x)))==len(x)) & (padding(x,len(x))==x).all()) else 'KO'}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "63cf9a13",
   "metadata": {},
   "source": [
    "Développez maintenant une fonction qui effectue un décalage temporel de $S$ sur un tableau NumPy uni-dimensionnel. La fonction retournera un tableau NumPy de même taille, avec les valeurs du tableau d'origine décalées de $S$ cases, et le reste des valeurs du tableau remplacées par 0.\n",
    "\n",
    "*Exemple : Soit le signal x :*\n",
    "\n",
    "\\begin{equation*}\n",
    "x = \\begin{bmatrix}1 & 3 & 7 & 2 & 5 & 6 & 6 & 8 & 1 \\end{bmatrix}\n",
    "\\end{equation*}\n",
    "\n",
    "*Un décalage de x avec $S$ = 2 donnera le signal x' suivant :*\n",
    "\n",
    "\\begin{equation*}\n",
    "x' = \\begin{bmatrix}0 & 0 & 1 & 3 & 7 & 2 & 5 & 6 & 6 \\end{bmatrix}\n",
    "\\end{equation*}\n",
    "\n",
    "*Un décalage de x avec $S$ = -5 donnera le signal x'' suivant :*\n",
    "\n",
    "\\begin{equation*}\n",
    "x'' = \\begin{bmatrix}6 & 6 & 8 & 1 & 0 & 0 & 0 & 0 & 0 \\end{bmatrix}\n",
    "\\end{equation*}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "95135697",
   "metadata": {},
   "outputs": [],
   "source": [
    "# A compléter\n",
    "# Développement d'une fonction qui décale un signal d'un pas de décalage S.\n",
    "def shift(x, S):\n",
    "    \"\"\"\n",
    "    Effectue un décalage de S sur le signal x\n",
    "    x : tableau 1D NumPy, représentant un signal\n",
    "    S : entier, représentant le pas de décalage à effectuer\n",
    "    \"\"\"\n",
    "    # Récupération taille de x\n",
    "    len_x = len(x)\n",
    "\n",
    "    # Création du tableau 1D y, de taille len(x) + abs(S), remplis de zéro\n",
    "    y = np.zeros((len_x+abs(S)))\n",
    "\n",
    "    # Deux cas : S positif ou S négatif\n",
    "    if S>0:\n",
    "        # Cas S positif : on insère les valeurs de x à la fin de y\n",
    "        y[-len_x:] = x\n",
    "        # On retourne les len_x premières valeurs de y\n",
    "        return y[:len_x]\n",
    "    else:\n",
    "        # Cas S négatif : on insères les valeurs de x au début de y\n",
    "        y[:len_x] = x\n",
    "        # On retourne les len_x dernières valeurs de y\n",
    "        return y[-len_x:]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f536fdf8",
   "metadata": {},
   "source": [
    "Afin de savoir si votre fonction est correcte, voici quelques tests unitaires. Si un test ne passe pas, ça ne sert à rien d'aller à la suite du TP, validez d'abord votre fonction de décalage !"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "f5887c05",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Décalage de x avec S = 2 : OK\n",
      "Décalage de x avec S = -5 : OK\n",
      "Décalage de x avec S = 0 : OK\n",
      "Décalage de x avec S = 20 : OK\n"
     ]
    }
   ],
   "source": [
    "# Tests unitaires de la fonction de décalage\n",
    "x = np.array([1,3,7,2,5,6,6,8,1])\n",
    "print(f\"Décalage de x avec S = 2 : {'OK' if (shift(x,2)==np.array([0,0,1,3,7,2,5,6,6])).all() else 'KO'}\")\n",
    "print(f\"Décalage de x avec S = -5 : {'OK' if (shift(x,-5)==np.array([6,6,8,1,0,0,0,0,0])).all() else 'KO'}\")\n",
    "print(f\"Décalage de x avec S = 0 : {'OK' if (shift(x,0)==x).all() else 'KO'}\")\n",
    "print(f\"Décalage de x avec S = 20 : {'OK' if (shift(x,20)==np.array([0,0,0,0,0,0,0,0,0])).all() else 'KO'}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f8f8e339",
   "metadata": {},
   "source": [
    "Développez maintenant une fonction qui calcule le score d'intercorrélation entre deux signaux $f$ et $g$ avec un retard $S$ fixé (entier). Ici, $S$ désigne le décalage de cases du tableau à réaliser pour le signal $f$.\n",
    "\n",
    "Pour cela, il faudra, dans l'ordre :\n",
    "- Récupérer les tailles des deux signaux $f$ et $g$\n",
    "- Effectuer un padding sur les deux signaux pour qu'ils soient de même taille\n",
    "- Décaler le signal $f$ de $S$ cases\n",
    "- Calculer le score d'intercorrélation entre les deux signaux, en suivant la fonction écrite préalablement\n",
    "\n",
    "A vous de jouer !"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "1002a51e",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Développement de la fonction de calcul du score d'intercorrélation entre deux signaux à un décalage S fixé\n",
    "def score_correlate(f,g,S,Te):\n",
    "    \"\"\"\n",
    "    Calcule le score d'intercorrélation entre le signal f retardé de S et le signal g \n",
    "    f, g : tableaux NumPy 1D, signaux à corréler\n",
    "    S : entier, retard du signal f\n",
    "    Te : le temps d'échantillonage (en secondes)\n",
    "    \"\"\"\n",
    "    \n",
    "    # Padding des signaux pour qu'ils soient à la même taille\n",
    "    len_f, len_g = len(f), len(g)\n",
    "    f = padding(f,len_g)\n",
    "    g = padding(g,len_f)\n",
    "    \n",
    "    # Décalage de f de S pas\n",
    "    f_decale = shift(f,S)\n",
    "    \n",
    "    return np.dot(f_decale,np.conjugate(g)) * Te"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "92472cbd",
   "metadata": {},
   "source": [
    "On va maintenant pouvoir développer la fonction principale de corrélation. Cette fonction prendra en entrée deux signaux $f$ et $g$, ainsi que le pas d'échantillonage des deux signaux $T_e$. Nous avons utilisé depuis le début du TP la variable $S$ qui est un valeur de décalage entière (cela représente littéralement un déplacement de $S$ cases sur le signal $f$). Cependant, $S$ n'a pas de valeur physique. De ce fait, en le multipliant par le pas d'échantillonage $T_e$, vous obtenez la valeur $\\tau$ qui est le retard dans la formule de corrélation.\n",
    "\n",
    "\\begin{equation*}\n",
    "    \\tau = S \\times T_e\n",
    "\\end{equation*}\n",
    "\n",
    "En théorie, on peut calculer la corrélation entre deux signaux avec n'importe quel $\\tau$. En pratique, nos signaux sont discrétisés, donc il est plus simple de calculer $\\tau$ en fonction du pas d'échantillonage $T_e$. De plus, les signaux sont définis dans un intervalle de temps fixé, donc il faut s'assurer que les deux signaux se recoupent dans un intervalle de temps commun."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e1d3bb20",
   "metadata": {},
   "source": [
    "**_QUESTION :_** \n",
    "- En considérant que les signaux $f$ et $g$ ont respectivement une taille $M$ et $N$, quelles valeurs minimale et maximale $S$ peut-il avoir tout en s'assurant que les deux signaux $f$ et $g$ aient une intersection non nulle ? \n",
    "- Combien de valeurs de $S$ peut-on alors calculer ?\n",
    "\n",
    "*Note : N'hésitez pas à faire des schémas de votre côté, car de tête, c'est chaud*"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3369b942",
   "metadata": {},
   "source": [
    "**_REPONSE :_** Les signaux $f$ et $g$ ont respectivement une taille de $M$ et $N$. Sachant que le décalage $S$ est appliqué au signal $f$, il peut varier entre $-(M-1)$ et $(N-1)$ secondes. De ce fait, nous pouvons calculer la corrélation entre $f$ et $g$ pour $M + N - 1$ valeurs possibles de $\\tau$."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cd351a38",
   "metadata": {},
   "source": [
    "Développez maintenant la fonction de correlation, prenant en entrée les signaux $f$ et $g$ et le pas d'échantillonage $T_e$. La fonction renverra :\n",
    "- Les valeurs de retards $\\tau$ calculés en secondes (sous forme de tableau NumPy 1D)\n",
    "- Le score d'intercorrélation entre $f$ et $g$ pour chaque retard $\\tau$ (sous forme de tableau NumPy 1D de même taille)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "7cbccba2",
   "metadata": {},
   "outputs": [],
   "source": [
    "# A compléter\n",
    "# Fonction de corrélation entre les signaux f et g avec un pas d'échantillonage de Te\n",
    "def correlation(f,g,Te):\n",
    "    \n",
    "    # Création du vecteur des différents shifts possibles où f et g ont un recouvrement\n",
    "    S_vals = np.arange((-len(f)+1),len(g))\n",
    "    \n",
    "    # Calcul des retards tau possibles en fonction de S_vals et du pas d'échantillonage T_e\n",
    "    tau_vals = S_vals * Te\n",
    "       \n",
    "    #for i in progressbar(range(len(tau_vals))):\n",
    "    scores_corr = np.array([score_correlate(f,g,s,Te) for s in S_vals])\n",
    "        \n",
    "    return tau_vals, scores_corr "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6b47a584",
   "metadata": {},
   "source": [
    "Si tout est bon, on va pouvoir tester ! Il nous faut pour ça deux signaux. Créez donc :\n",
    "- $A$, un signal défini par l'équation suivante :\n",
    "\n",
    "\\begin{equation*}\n",
    "A(t) = \n",
    "\\begin{cases} \n",
    "1, & \\text{si } 0 \\leq t \\leq 1, \\\\\n",
    "0, & \\text{sinon}.\n",
    "\\end{cases}\n",
    "\\end{equation*}\n",
    "\n",
    "- $B$, un signal **périodique** de période T = 2 tel que : \n",
    "\n",
    "\\begin{equation*}\n",
    "B(t) = \n",
    "\\begin{cases}\n",
    "1 & \\text{si } |t| \\gt \\frac{T}{2}, \\\\\n",
    "0, & \\text{sinon}.\n",
    "\\end{cases}\n",
    "\\end{equation*}\n",
    "\n",
    "Les deux signaux sont échantillonés à 0.01 secondes. Le signal A s'étend de 0 à 2 secondes, tandis que le signal B s'étend de 0 à 10 secondes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "1c10c185",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A compléter\n",
    "# Création des deux signaux\n",
    "\n",
    "T = 2\n",
    "Te=0.01\n",
    "\n",
    "tA = np.arange(0,2,Te)\n",
    "tB = np.arange(0,10,Te)\n",
    "\n",
    "A = (tA<=1).astype(float)\n",
    "B = (np.abs(tB%T)>T/2).astype(float)\n",
    "\n",
    "plt.plot(tA,A,label='signal A(t)')\n",
    "plt.plot(tB,B,label='signal B(t)')\n",
    "plt.legend()\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5b4a4a8f",
   "metadata": {},
   "source": [
    "Testez maintenant votre fonction de corrélation sur vos deux signaux, et tracez le résultat obtenu en fonction des valeurs de $\\tau$ possibles."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "edc4da4b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A compléter\n",
    "# Calcul de la corrélation entre A et B\n",
    "tau_vals, A_B_correlation = correlation(A,B,Te)\n",
    "\n",
    "plt.plot(tau_vals,A_B_correlation)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2aec6bcd",
   "metadata": {},
   "source": [
    "**_QUESTION :_** A quels instants la corrélation est maximum ? Qu'est-ce que cela signifie ?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "9586cbaa",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.99 1.   1.01 2.99 3.   3.01 4.99 5.   5.01 6.99 7.   7.01 8.99 9.\n",
      " 9.01]\n"
     ]
    }
   ],
   "source": [
    "# A compléter\n",
    "# Récupération des valeurs de tau où la corrélation est maximum\n",
    "max_correlation = A_B_correlation.max()\n",
    "tau_max_correlation = tau_vals[A_B_correlation==max_correlation]\n",
    "print(tau_max_correlation)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "161c8751",
   "metadata": {},
   "source": [
    "**_REPONSE :_** On retrouve des pics aux alentours de tau égal à 1, 3, 5, 7 et 9 secondes. Cela signifie que dans le signal $B$ ressemble le plus à $A$ à ces moments précis. Cela est cohérent, puisque notre signal B est construit à partir de $A$ avec un décalage de 1 secondes sur une période T = 2 secondes."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "64e73385",
   "metadata": {},
   "source": [
    "Vous pouvez maintenant comparer votre résultat de corrélation avec celui effectué par la fonction correlate de NumPy. Attention : la fonction fait le calcul inverse, donc il faut échanger vos signaux dans l'appel de la fonction, et utilise le mode 'full' pour avoir une corrélation à chaque indice (comme fait préalablement)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "b942f70d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A compléter\n",
    "# Calcul de la corrélation entre A et B via la fonction correlate de NumPy\n",
    "A_B_correlation_numpy = np.correlate(B,A,'full')*Te\n",
    "\n",
    "# Affichage du résultat\n",
    "# Ici, on réutilise tau_vals, car la fonction de NumPy n'a pas l'information du taux d'échantillonage\n",
    "plt.plot(tau_vals,A_B_correlation,label='Notre corrélation')\n",
    "plt.plot(tau_vals,A_B_correlation_numpy, label='Corrélation NumPy')\n",
    "plt.legend()\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e867ceff",
   "metadata": {},
   "source": [
    "Super, on a notre fonction de corrélation !\n",
    "\n",
    "...\n",
    "\n",
    "Cependant...\n",
    "\n",
    "Notre fonction n'est en réalité pas très robuste. En effet, en ajoutant une seule valeur abberante, on peut complètement la casser ! (emoji choqué)\n",
    "\n",
    "Reprenez votre signal B, et ajoutez une seule valeur aberrante (ex: à $t = 4.5$, $B(t)=100$). Recalculez la corrélation et affichez le résultat."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "90694121",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A compléter\n",
    "# Ajout d'une valeur aberrante à B(t)\n",
    "B_bruite = B.copy()\n",
    "B_bruite[tB==4.5]=100\n",
    "\n",
    "# Calcul de la corrélation entre A et B avec la valeur aberrante\n",
    "tau_vals, A_B_correlation_bruite = correlation(A,B_bruite,Te)\n",
    "\n",
    "plt.plot(tau_vals,A_B_correlation_bruite)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "64e575c8",
   "metadata": {},
   "source": [
    "Si vous avez bien codé, vous devriez avoir une courbe de corrélation toute chamboulée par ce désagrément. Cela est dû au fait que notre fonction de corrélation est ultra dépendante à l'amplitude. De ce fait, une amplitude grande donne de meilleurs scores sur le calcul de corrélation. Le soucis ici est qu'on cherche avant tout à détecter un motif, indépendamment de l'amplitude. Pour cela, nous allons modifier notre fonction afin d'éviter ce problème."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8295b194",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "## Exercice 2 : ZNCC is the new correlation\n",
    "\n",
    "Dans ce deuxième exercice, nous allons reprendre la fonction de corrélation pour faire une corrélation normalisée, appelée ZNCC (Zero-Mean Normalized Cross Correlation). La formule est quasi la même que celle que nous avons vu précédemment, à quelques détails prêts:\n",
    "\n",
    "\\begin{equation*}\n",
    "ZNCC_{fg}(\\tau) =\\;\n",
    "\\frac{\\displaystyle \\sum_n \\bigl(f(n + \\tau) - \\bar{f}\\bigr)\\,\\bigl(g^{*}(n) - \\bar{g}^{*}\\bigr)}\n",
    "     {\\sqrt{\\displaystyle \\sum_n \\bigl(f(n + \\tau) - \\bar{f}\\bigr)^2}\\;\n",
    "      \\sqrt{\\displaystyle \\sum_n \\bigl(g^{*}(n) - \\bar{g}^{*}\\bigr)^2}}\n",
    "\\end{equation*}"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4331834a",
   "metadata": {},
   "source": [
    "Typiquement, ça reprend la formule de corrélation utilisée préalablement, avec les signaux $f$ et $g$ normalisés, c-à-d en soustrayant leur moyenne $\\bar{f}$ et $\\bar{g}^{*}$, puis en divisant le score de corrélation par la multiplication de leur norme L2. On remarque cependant que contrairement à la formule de la corrélation originale, ZNCC est indépendante du temps d'échantillonage $T_e$.\n",
    "\n",
    "La difficulté ici est que le calcul des moyennes et des normes ne se font pas sur les signaux entiers, mais là où $f$ et $g$ se recoupent (leur intersection)."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4a7d681a",
   "metadata": {},
   "source": [
    "**_QUESTION :_** Sachant que $f$ et $g$ sont respectivement de taille $N$ et $M$, et qu'on applique un décalage $S$ (entier), à quels indices se trouvent l'intersection de $f$ et $g$ ?\n",
    "\n",
    "*Note : Hormis si vous êtes des génies, faites un schéma sur papier svp (pas besoin de le scanner et de l'afficher sur le notebook). Sans schéma, c'est difficile à visualiser.*"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d48703f1",
   "metadata": {},
   "source": [
    "**_REPONSE :_** Le signal $g$ évolue de 0 à $M$. Le signal $f$ évolue lui de $S$ à $N+S$, avec $S$ qui peut être positif ou négatif. De ce fait, l'index minimum de l'intersection est $max(0,S)$, et l'index maximum de l'intersection est $min(M-1,N+S-1)$."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "95a55247",
   "metadata": {},
   "source": [
    "Reprenez la fonction de calcul de score d'intercorrélation entre deux signaux à un retard $S$ (entier) fixé et modifiez-la pour en calculer le score de ZNCC. Pour cela, il faut, dans l'ordre :\n",
    "\n",
    "- Récupérer les tailles des deux signaux $f$ et $g$\n",
    "- Effectuer un padding sur les deux signaux pour qu'ils soient de même taille\n",
    "- Décaler le signal $f$ de $S$ cases\n",
    "- Coupez les signaux $f$ et $g^{*}$ à l'endroit de leur intersection\n",
    "- Si la taille de l'intersection est trop petite (inférieure au quart du plus petit signal), renvoyer 0\n",
    "- Calculer et retirer la moyenne des signaux $f$ et $g^{*}$\n",
    "- Calculer le score d'intercorrélation entre les deux signaux, en suivant la fonction écrite préalablement\n",
    "- Diviser ce score par la norme de $f$ et $g^{*}$\n",
    "\n",
    "*Note : La norme de $f$ et de $g$ pouvant être nulles, dans le cas où l'une ou l'autre vaut zéro, il faut lui rajouter $\\epsilon = 1e-12$ pour éviter une division par zéro* "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "c719b657",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Développement de la fonction de calcul du score d'intercorrélation entre deux signaux à décalage S fixé\n",
    "def score_ZNCC(f,g,s):\n",
    "    \"\"\"\n",
    "    Calcule le score de ZNCC entre le signal f retardé de s et le signal g \n",
    "    f, g : tableaux NumPy 1D, signaux à corréler\n",
    "    s : entier, retard du signal f\n",
    "    \"\"\"\n",
    "    \n",
    "    # Padding des signaux pour qu'ils soient à la même taille\n",
    "    len_f, len_g = len(f), len(g)\n",
    "    f = padding(f,len_g)\n",
    "    g = padding(g,len_f)\n",
    "    \n",
    "    # Décalage de f de S pas\n",
    "    f_decale = shift(f,s)\n",
    "    \n",
    "    # On calcule la corrélation uniquement sur l'intersection entre les deux signaux dans le temps\n",
    "    index_min = max(0,s)\n",
    "    index_max = min(len_f+s,len_g)\n",
    "    \n",
    "    f_decale = f_decale[index_min:index_max]\n",
    "    g = np.conjugate(g[index_min:index_max])\n",
    "\n",
    "    # On renvoit 0 si la taille de l'intersection est inférieur\n",
    "    if (len(f_decale)<min(len_f,len_g)/4):\n",
    "        return 0\n",
    "\n",
    "    # On retire la moyenne aux deux signaux\n",
    "    f_decale -= np.mean(f_decale)\n",
    "    g -= np.mean(g) \n",
    "    \n",
    "    # On calcule le score de corrélation et on divise par les normes de g et f\n",
    "    # Afin d'éviter que les normes de g et f soient à zéro et donc que le dénominateur soit nul, on place chaque norme au minimum à epsilon = 1e-12\n",
    "    return np.dot(f_decale,g) / (max(np.linalg.norm(g),1e-12) * max(np.linalg.norm(f_decale),1e-12))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b48db955",
   "metadata": {},
   "source": [
    "Reprenez votre fonction de calcul de corrélation qui prend en entrée $f$, $g$ et $T_e$. Modifiez-la pour qu'elle renvoit les valeurs de retards calculés en secondes et le score de ZNCC.\n",
    "\n",
    "*Note : Il n'y a quasimment rien à changer, il faut juste changer le nom de la fonction et l'appel à une fonction...*"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "bb846a21",
   "metadata": {},
   "outputs": [],
   "source": [
    "# A compléter\n",
    "# Fonction de ZNCC entre les signaux f et g avec un pas d'échantillonage de Te\n",
    "def ZNCC(f,g,Te):\n",
    "       \n",
    "    # Création du vecteur des différents shifts possibles où f et g ont un recouvrement\n",
    "    S_vals = np.arange((-len(f)+1),len(g))\n",
    "    \n",
    "    # Calcul des retards tau possibles en fonction de S_vals et du pas d'échantillonage T_e\n",
    "    tau_vals = S_vals * Te\n",
    "       \n",
    "    #for i in progressbar(range(len(tau_vals))):\n",
    "    scores_corr = np.array([score_ZNCC(f,g,s) for s in S_vals])\n",
    "        \n",
    "    return tau_vals, scores_corr"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "52967dd4",
   "metadata": {},
   "source": [
    "Reprenez les signaux $A$ et $B$, calculez le score de ZNCC entre ces signaux et affichez le résultat."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "25adb627",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A compléter\n",
    "# Calcul de la corrélation entre A et B\n",
    "tau_vals, A_B_ZNCC = ZNCC(A,B,Te)\n",
    "\n",
    "plt.plot(tau_vals,A_B_ZNCC)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3d9e3e64",
   "metadata": {},
   "source": [
    "**_QUESTION :_** \n",
    "- Dans quel intervalle est inclut le score de ZNCC ?\n",
    "- A quels instants ZNCC est maximum ? \n",
    "- A quels instants ZNCC est minimum ? \n",
    "- Qu'est-ce que cela signifie ?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "34c41424",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1. 3. 5. 7.]\n",
      "[0. 2. 4. 6. 8.]\n"
     ]
    }
   ],
   "source": [
    "# A compléter\n",
    "# Récupération des valeurs de tau où la corrélation est maximum\n",
    "max_ZNCC = A_B_ZNCC.max()\n",
    "tau_max_ZNCC = tau_vals[A_B_ZNCC==max_ZNCC]\n",
    "print(tau_max_ZNCC)\n",
    "\n",
    "# Récupération des valeurs de tau où la corrélation est minimum\n",
    "min_ZNCC = A_B_ZNCC.min()\n",
    "tau_min_ZNCC = tau_vals[A_B_ZNCC==min_ZNCC]\n",
    "print(tau_min_ZNCC)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f0768279",
   "metadata": {},
   "source": [
    "**_REPONSE :_** Le score de ZNCC est en réalité un coefficient inclut dans l'intervalle $[-1,1]$:\n",
    "- Lorsque le score est à 1 (ici, à 1, 3, 5 et 7 secondes), les deux signaux sont identiques à une mise à l’échelle près.\n",
    "- Lorsque le score est à 0, il n'y a aucune corrélation entre les deux signaux\n",
    "- Lorsque le score est à -1 (ici, à 0, 2, 4, 6 et 8 secondes), les deux signaux correspondent parfaitement, mais inversés."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fd7b3c43",
   "metadata": {},
   "source": [
    "Reprenez maintenant le signal bruité $B$, comme fait précédemment, calculez le ZNCC entre $A$ et $B$ bruité, et affichez le résultat."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "60a77746",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A compléter\n",
    "# Calcul de ZNCC entre A et B avec la valeur aberrante\n",
    "tau_vals, A_B_ZNCC_bruite = ZNCC(A,B_bruite,Te)\n",
    "\n",
    "plt.plot(tau_vals,A_B_ZNCC_bruite)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "11a4a206",
   "metadata": {},
   "source": [
    "**_QUESTION :_** Que remarquez-vous ?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d342fd26",
   "metadata": {},
   "source": [
    "**_REPONSE :_** La valeur aberrante ici ne perturbe pas le calcul de ZNCC, même si elle casse une possible corrélation pour $\\tau$ à 3 secondes."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "668d5a74",
   "metadata": {},
   "source": [
    "En conclusion, ZNCC est plus robuste car insensible à l'amplitude du signal. Avec ZNCC, on cherche avant tout un motif, qu'il soit fort, faible, ou même inversé. Malheureusement, ZNCC n'est pas disponible dans une librairie Python (je suis surpris comme vous), du moins pas sous la forme qu'on souhaite pour le traitement du signal."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "da577114",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "## Exercice 3 : Où est caché DJ Khaled ?\n",
    "\n",
    "Grâce à votre superbe fonction ZNCC, vous pouvez trouver n'importe quel pattern dans un signal. Dans la série des patterns reconnaissables, on peut citer les tags audios des producteurs de musique, qui est l'équivalent d'une signature généralement au début du morceau. Parmi les tags audios célèbres, DJ Khaled en a plusieurs, dont son fameux \"Another One\".\n",
    "\n",
    "Dans cet exercice, l'objectif est simple: à partir du tag audio de DJ Khaled, à vous de retrouver dans la bibliothèque audio quel son a été produit par lui.\n",
    "\n",
    "*Note : En écoutant les WAV, vous pourrez remarquer que la qualité n'est pas terrible. C'est normal : la fréquence d'échantillonage a été fortement diminuée, afin de réduire drastiquement le temps de calcul...*"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "91527427",
   "metadata": {},
   "outputs": [
    {
     "data": {
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\" type=\"audio/wav\" />\n",
       "                    Your browser does not support the audio element.\n",
       "                </audio>\n",
       "              "
      ],
      "text/plain": [
       "<IPython.lib.display.Audio object>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import IPython\n",
    "\n",
    "IPython.display.Audio('tag.wav')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1dce2332",
   "metadata": {},
   "source": [
    "Dans un premier temps, chargez le fichier audio tag.wav. Pour cela, vous avez la fonction *read* du module *wavfile* du package *scipy.io*."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "e341a3dc",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Fréquence d'échantillonage du tag audio : 8000 Hz\n"
     ]
    }
   ],
   "source": [
    "# A compléter\n",
    "# Chargement de l'extrait audio\n",
    "from scipy.io import wavfile\n",
    "\n",
    "freq_tag, extrait_tag = wavfile.read(\"tag.wav\")\n",
    "\n",
    "print(f\"Fréquence d'échantillonage du tag audio : {freq_tag} Hz\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "72f59166",
   "metadata": {},
   "source": [
    "**_QUESTION :_** Que renvoit la fonction *read* à la lecture du fichier WAV ?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0a191780",
   "metadata": {},
   "source": [
    "**_REPONSE :_** Le fichier renvoit la fréquence d'échantillonage du fichier audio, et le signal."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ad024fc4",
   "metadata": {},
   "source": [
    "Tracez le signal du tag audio, en reconstruisant l'axe temporel préalablement."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "7a7b1728",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A compléter\n",
    "# Reconstruction de l'axe temporel\n",
    "t_extrait_tag = np.arange(0, len(extrait_tag)/freq_tag, 1/freq_tag)\n",
    "\n",
    "# Tracé du signal audio\n",
    "plt.plot(t_extrait_tag, extrait_tag)\n",
    "plt.title(\"Tag audio\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9b4c6557",
   "metadata": {},
   "source": [
    "Faites de même avec le fichier *music_1.wav*. Chargez-le, reconstruisez l'axe temporel de la musique et tracez le signal."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "809b05b6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A compléter\n",
    "# Chargement de l'extrait audio music_1\n",
    "freq_musique, extrait_musique = wavfile.read(\"music_1.wav\")\n",
    "\n",
    "# Reconstruction de l'axe temporel\n",
    "t_musique = np.arange(0,len(extrait_musique)/freq_musique, 1/freq_musique)\n",
    "\n",
    "# Affichage du signal\n",
    "plt.plot(t_musique,extrait_musique)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7e35e736",
   "metadata": {},
   "source": [
    "Appliquez votre fameux algorithme ZNCC pour le tag audio et l'extrait musical, et affichez le résultat.\n",
    "\n",
    "*Note : le temps de calcul peut être long, vu la taille du signal... Et encore, ce n'est qu'un extrait de musique...*"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "61a796a6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A compléter\n",
    "# Calcul de ZNCC pour le tag audio et l'extrait musical\n",
    "tau_vals, ZNCC_music_1 = ZNCC(extrait_tag.astype(float),extrait_musique.astype(float),1/freq_tag)\n",
    "\n",
    "# Affichage du score ZNCC en fonction du retard tau\n",
    "plt.plot(tau_vals,ZNCC_music_1)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "812ede54",
   "metadata": {},
   "source": [
    "Si tout est ok, il devrait y avoir un pic qui ressort ! Récupérez la valeur de $\\tau$ où ZNCC est maximum."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "6747ca18",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Tau optimal : 1.4953750000000001\n"
     ]
    }
   ],
   "source": [
    "# A compléter\n",
    "# Récupération du tau optimal\n",
    "best_tau = tau_vals[ZNCC_music_1.argmax()]\n",
    "print(f\"Tau optimal : {best_tau}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ee98dccd",
   "metadata": {},
   "source": [
    "Coupez music_1 de manière à avoir l'extrait où vous avez le meilleur score ZNCC (à partir du $\\tau$ optimal)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "fc910b28",
   "metadata": {},
   "outputs": [],
   "source": [
    "# A compléter\n",
    "# Extraction de l'audio avec le meilleur score ZNCC\n",
    "indice_tau_t_musique = np.argwhere(t_musique==best_tau)[0][0]\n",
    "best_extrait_music_1 = extrait_musique[indice_tau_t_musique:indice_tau_t_musique+len(t_extrait_tag)]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "296d83eb",
   "metadata": {},
   "source": [
    "Exportez dans un nouveau fichier WAV l'audio du meilleur extrait trouvé via la fonction *write* du module *wavfile* du package *scipy.io*"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "38e17ef9",
   "metadata": {},
   "outputs": [],
   "source": [
    "# A compléter\n",
    "# Export du meilleur extrait en fichier WAV\n",
    "wavfile.write(\"best_extrait_music_1.wav\",freq_musique,best_extrait_music_1)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "43869959",
   "metadata": {},
   "source": [
    "**_QUESTION :_** Alors, est-ce que l'extrait trouvé est pertinent ?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "4f65c2a1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "                <audio  controls=\"controls\" >\n",
       "                    <source 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\" type=\"audio/wav\" />\n",
       "                    Your browser does not support the audio element.\n",
       "                </audio>\n",
       "              "
      ],
      "text/plain": [
       "<IPython.lib.display.Audio object>"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "IPython.display.Audio('best_extrait_music_1.wav')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b82bd61d",
   "metadata": {},
   "source": [
    "**_REPONSE :_** OUI !"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "22a840eb",
   "metadata": {},
   "source": [
    "Vous pouvez maintenant continuer votre recherche avec les autres audios. Ecrivez pour finir les extraits audios où vous avez trouvé le tag."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "443148b9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x700 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x700 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A compléter\n",
    "# Chargement des extraits audios\n",
    "freq_musique_2, extrait_musique_2 = wavfile.read(\"music_2.wav\")\n",
    "freq_musique_3, extrait_musique_3 = wavfile.read(\"music_3.wav\")\n",
    "freq_musique_4, extrait_musique_4 = wavfile.read(\"music_4.wav\")\n",
    "freq_musique_5, extrait_musique_5 = wavfile.read(\"music_5.wav\")\n",
    "\n",
    "# Reconstruction des axes temporels\n",
    "t_musique_2 = np.arange(0,len(extrait_musique_2)/freq_musique_2, 1/freq_musique_2)\n",
    "t_musique_3 = np.arange(0,len(extrait_musique_3)/freq_musique_3, 1/freq_musique_3)\n",
    "t_musique_4 = np.arange(0,len(extrait_musique_4)/freq_musique_4, 1/freq_musique_4)\n",
    "t_musique_5 = np.arange(0,len(extrait_musique_5)/freq_musique_5, 1/freq_musique_5)\n",
    "\n",
    "# Affichage des signaux\n",
    "plt.subplots(2,2,figsize=(10,7))\n",
    "plt.subplot(221)\n",
    "plt.plot(t_musique_2,extrait_musique_2)\n",
    "plt.title(\"Extrait n°2\")\n",
    "plt.subplot(222)\n",
    "plt.plot(t_musique_3,extrait_musique_3)\n",
    "plt.title(\"Extrait n°3\")\n",
    "plt.subplot(223)\n",
    "plt.plot(t_musique_4,extrait_musique_4)\n",
    "plt.title(\"Extrait n°4\")\n",
    "plt.subplot(224)\n",
    "plt.plot(t_musique_5,extrait_musique_5)\n",
    "plt.title(\"Extrait n°5\")\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "# Calcul de ZNCC pour le tag audio et les différents extraits musicaux (assez long...)\n",
    "tau_vals_2, ZNCC_music_2 = ZNCC(extrait_tag.astype(float),extrait_musique_2.astype(float),1/freq_tag)\n",
    "tau_vals_3, ZNCC_music_3 = ZNCC(extrait_tag.astype(float),extrait_musique_3.astype(float),1/freq_tag)\n",
    "tau_vals_4, ZNCC_music_4 = ZNCC(extrait_tag.astype(float),extrait_musique_4.astype(float),1/freq_tag)\n",
    "tau_vals_5, ZNCC_music_5 = ZNCC(extrait_tag.astype(float),extrait_musique_5.astype(float),1/freq_tag)\n",
    "\n",
    "# Affichage des scores ZNCC en fonction du retard tau\n",
    "plt.subplots(2,2,figsize=(10,7))\n",
    "plt.subplot(221)\n",
    "plt.plot(tau_vals_2,ZNCC_music_2)\n",
    "plt.title(\"ZNCC extrait n°2\")\n",
    "plt.subplot(222)\n",
    "plt.plot(tau_vals_3,ZNCC_music_3)\n",
    "plt.title(\"ZNCC extrait n°3\")\n",
    "plt.subplot(223)\n",
    "plt.plot(tau_vals_4,ZNCC_music_4)\n",
    "plt.title(\"ZNCC extrait n°4\")\n",
    "plt.subplot(224)\n",
    "plt.plot(tau_vals_5,ZNCC_music_5)\n",
    "plt.title(\"ZNCC extrait n°5\")\n",
    "plt.tight_layout()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "913b986d",
   "metadata": {},
   "source": [
    "On remarque que sur les extraits 2, 3 et 4, il n'y a aucun score ZNCC très haut ou très bas. On ne détecte donc pas le tag audio dans ces extraits. En revanche, dans l'extrait 5, on voit deux très hauts pics positifs, indiquant qu'il y aurait possiblement deux fois le même tag audio. Et à l'écoute, cela peut paraître surprenant, mais c'est le cas. Beethoven ft DJ Khaled, la collab que personne n'attendait..."
   ]
  }
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