{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# TP2 : Codage et filtrage"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**La feuille de calcul jupyter sera à envoyer à la fin de TP à l'adresse chupin@ceremade.dauphine.fr, avec dans le nom de la feuille de TP, les nom et prénom. Ce TP est prévu pour 3h de travail, même s'il est sans doute trop long.**\n",
    "\n",
    "**Expliquez en détails ce que vous avez fait et essayer de commenter votre code. Essayez aussi, dans la feuille de compte rendu, de ne laisser que le minimum.**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "On chargera les librairies classiques suivantes :\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import scipy\n",
    "import scipy.integrate\n",
    "import random\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Codage source \n",
    "\n",
    "Dans cette partie du TP, on s'intéressera au codage source avec notamment l'algorithme de Huffman. \n",
    "\n",
    "On considère la chaine de caractère suivante que l'on cherchera à coder en binaire :"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "phrase = \"le traitement du signal est une discipline large qui est à la croisée de plein de domaines des mathématiques\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Dictionnaire et fréquence\n",
    "\n",
    "#### Dictionnaire en python\n",
    "\n",
    "En python, un dictionnaire est défini (initialisé) par:\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "mondict = {}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Par exemple :"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'nom': 'engel', 'prenom': 'olivier', 'age': 23}\n",
      "23\n"
     ]
    }
   ],
   "source": [
    "a = {}\n",
    "a[\"nom\"] = \"engel\"\n",
    "a[\"prenom\"] = \"olivier\"\n",
    "a[\"age\"] = 23\n",
    "print(a)\n",
    "print(a[\"age\"])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "####  Calcul des fréquences d'apparition\n",
    "\n",
    "En se définissant un dictionnaire (au sens de n-uplet ou d'une liste pour python) pour la langue française (on codera toutes les lettres minuscules ainsi que les espaces), définissez une fonction qui calcule la fréquence d'apparition. Elle retournera un dictionnaire (lettre/fréquence) python et pourra avoir la forme :\n",
    "```python\n",
    "def frequences(maphrase,ledictionnaire):\n",
    "```\n",
    "On pourra utiliser la fonction `count` pour compter dans la chaîne de caractère."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Fabrication de l'arbre de codage de Huffman\n",
    "\n",
    "On se propose ici d'ulitiser la librairie `heapq` de python (mais vous pouvez faire tout autrement !!). Celle-ci permet d'organiser une liste sous forme d’arbre binaire. Cette librairie nous permettra facilement de repérer les plus petits éléments.\n",
    "\n",
    "On la chargera par :"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "import heapq "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "L'exemple suivant permet de comprendre que le _push_ et le _pop_ permettent respectivement d'ajouter au bon endroit l'élément, et de récupérer le plus petit élément avec le _pop_."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[-273.15, 42, 2048, 69]\n",
      "-273.15\n",
      "[42, 69, 2048]\n",
      "42\n",
      "[69, 2048]\n",
      "69\n",
      "[2048]\n",
      "2048\n",
      "[]\n"
     ]
    }
   ],
   "source": [
    "l = []\n",
    "heapq.heappush(l, 69)\n",
    "heapq.heappush(l, 42)\n",
    "heapq.heappush(l, 2048)\n",
    "heapq.heappush(l, -273.15)\n",
    "print(l) # la liste est ordonnée en arbre binaire...\n",
    "for x in np.arange(len(l)): # et on depop pour itérer dans l'odre\n",
    "    print(heapq.heappop(l))\n",
    "    print(l)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Évidemment, les éléments dans l'arbre binaire peuvent ne pas être uniquement des réels, mais par exemple, un nuplet de liste. \n",
    "\n",
    "Pour fabriquer un arbre à partir d'une liste on fera :"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[(26, 'olivier'), (45, 'albert'), (30, 'sophie')]\n",
      "(26, 'olivier')\n",
      "[(30, 'sophie'), (45, 'albert')]\n",
      "(30, 'sophie')\n",
      "[(45, 'albert')]\n"
     ]
    }
   ],
   "source": [
    "a = [(45,\"albert\"),(26,\"olivier\"),(30,\"sophie\")]\n",
    "heapq.heapify(a)\n",
    "print(a)\n",
    "print(heapq.heappop(a))\n",
    "print(a)\n",
    "print(heapq.heappop(a))\n",
    "print(a)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Sur cette exemple, par rapport à quelle valeur des n-uplet, l'arbre est-il construit ?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Quelques petites astuces qui pourront être utiles"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['a', 'b']\n"
     ]
    }
   ],
   "source": [
    "print(['a']+['b'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "dict_items([('yellow', ['1', '3']), ('blue', ['2', '4']), ('red', ['1'])])\n",
      "dict_items([('yellow', '13'), ('blue', '24'), ('red', '1')])\n"
     ]
    }
   ],
   "source": [
    "import collections\n",
    "\n",
    "s = [('yellow', \"1\"), ('blue', \"2\"), ('yellow', \"3\"), ('blue', \"4\"), ('red', \"1\")]\n",
    "d = collections.defaultdict(list)\n",
    "for k, v in s:\n",
    "    d[k].append(v)\n",
    "\n",
    "print(d.items())\n",
    "\n",
    "for k,v in d.items():\n",
    "    d[k] = ''.join(d[k])\n",
    "print(d.items())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Codez maintenant une fonction `huffman` qui prend en argument le dictionnaire de fréquence et qui retourne le code de Huffman de chaque élément du dictionnaire en base 2 sous forme d'un dictionnaire.\n",
    "\n",
    "On pourra, en utilisant des librairies graphiques, tracer cet arbre de codage.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Encodage et decodage de la phrase\n",
    "\n",
    "1. Maintenant que nous avons notre arbre de codage, on peut encoder la phrase. Définissez une fonction d'encodage qui à une chaîne de caractères et un arbre de codage, retourne une chaîne de caractère composée de 0 et de 1.\n",
    "2. Définissez une fonction de décodage."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Fenêtrage et convolution\n",
    "\n",
    "On chargera les données fournies sous forme de fichiers `np.array` à partir d’un fichier `wav` grâce à la bibliothèque `wavefile` de `scipy.io`.\n",
    "\n",
    "**Important :** on prendra un entier $M=8000$ pour les transformée de Fourier et leur inverse pour les fonctions `np.fft`. \n",
    "\n",
    "On chargera les élements suivants :"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.io import wavfile\n",
    "fsWav, data = wavfile.read('musique.wav')\n",
    "\n",
    "t = np.array(range(len(data)))/fsWav\n",
    "\n",
    "# extraire 6 secondes\n",
    "time = [temps for temps in t if 1.25<=temps <=2]\n",
    "\n",
    "data = [data[i] for i in range(0,len(data)) if 1.25<= t[i] <=2]\n",
    "#data = dataTwo/np.max(dataTwo)\n",
    "plt.figure()\n",
    "plt.plot(time, data)\n",
    "np.save(\"data\",data)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "On pourra écouter l’extrait dans la feuille Jupyter grâce au petit code suivant. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "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": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from IPython.display import Audio\n",
    "wave_audio = data\n",
    "Audio(wave_audio, rate=fsWav)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Réponse impulsionnelle au créneau\n",
    "\n",
    "Cette partie est indépendante du chargement du signal précédent. Il s'agit ici de fabriquer un filtre, à partir de la représentation dans le domaine de Fourier de sa réponse impulsionnelle. À partir de cela, on fabriquera la réponse impulsionnelle «temporelle».  \n",
    "\n",
    "1. Construire dans dans le domaine fréquenciel (`np.fft.fftfreq` avec un pas de temps correspondant à la fréquence d'échantillonnage), une fonction créneau de fréquence de coupure $f_c=1300Hz$. Cela sera notre gabarit pour notre filtre (notre $H(\\omega)$).\n",
    "\n",
    "\n",
    "2. Par transformée de Fourier inverse (de la librairie `numpy` toujours), calculer la réponse impulsionnelle correspondant à la fonction créneau précédemment définie ($(h_n)_n$). Tracer la et commentez.\n",
    "\n",
    "\n",
    "3. Puisque toutes les fonctions sont supposées périodiques, la réponse impulsionnelle obtenue est-elle causale ?\n",
    "\n",
    "\n",
    "## Fabrication de la réponse impulsionnelle finie (RIF)\n",
    "\n",
    "4. À partir de cette réponse impulsionnelle non causale et «infinie», transformez cette réponse en une réponse impulsionnelle finie causale. On prendra un support de 1000 échantillons pour cette réponse.\n",
    "\n",
    "## Filtrage par convolution\n",
    "\n",
    "5. Définissez une fonction python qui réalise la convolution entre un signal $(s_n)$ et une RIF $(h_n)$ :\n",
    "\n",
    "```python\n",
    "def convolutionRIF(s,h):\n",
    "\n",
    "```\n",
    "\n",
    "6. Calculez la convolution du signal data avec la RIF définie précédemment.\n",
    "\n",
    "\n",
    "\n",
    "7. Vérifiez par l'étude du spectre du signal obtenu l'effet du filtre ainsi obtenu. Commentez ! Vous pouvez, en utilisant la fonction `wavfile.write(\"fichier.wav\", rate, data.astype(np.int16))` enregistrer les deux extraits de deux secondes pour les comparer auditivement. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.9.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
