voicevoice.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "fd52b74c-991e-43eb-a256-835d995ea675",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Collecting pydub\n",
      "  Using cached pydub-0.25.1-py2.py3-none-any.whl (32 kB)\n",
      "Installing collected packages: pydub\n",
      "Successfully installed pydub-0.25.1\n"
     ]
    }
   ],
   "source": [
    "!pip install pydub"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "be18e3ed-a35d-4f02-bae5-14ba812136f3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "from matplotlib import pyplot as plt\n",
    "from scipy.io.wavfile import write\n",
    "from pydub import AudioSegment        # to read the voice file\n",
    "from pydub.playback import play       # to play the voice\n",
    "from scipy.fft import fft, fftfreq\n",
    "\n",
    "\n",
    "SAMPLE_RATE = 44100  # Hertz\n",
    "DURATION = 5         # Seconds\n",
    "\n",
    "def generate_sine_wave(freq, sample_rate, duration):\n",
    "    x = np.linspace(0, duration, sample_rate * duration, endpoint=False)\n",
    "    frequencies = x * freq\n",
    "    \n",
    "    y = np.sin((2*np.pi) * frequencies)\n",
    "    return x, y\n",
    "\n",
    "_, nice_tone = generate_sine_wave(400, SAMPLE_RATE, DURATION)\n",
    "_, noise_tone = generate_sine_wave(4000, SAMPLE_RATE, DURATION)\n",
    "\n",
    "mixed_tone = nice_tone + noise_tone*0.3\n",
    "\n",
    "plt.plot(mixed_tone[:1000])\n",
    "\n",
    "normalized_tone = np.int16((mixed_tone / mixed_tone.max()) * 32767)\n",
    "\n",
    "\n",
    "write(\"mysinewave.wav\", SAMPLE_RATE, normalized_tone)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "4d2225ea-e41d-4294-9eb2-686536fcd864",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "                    <audio controls>\n",
       "                        <source 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\" type=\"audio/mpeg\"/>\n",
       "                        Your browser does not support the audio element.\n",
       "                    </audio>\n",
       "                  "
      ],
      "text/plain": [
       "<pydub.audio_segment.AudioSegment at 0x13083a4c0>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "## read and play whale's voice\n",
    "song = AudioSegment.from_wav(\"mysinewave.wav\")\n",
    "#song -= 100  # lower the volume\n",
    "#song -= 5\n",
    "song"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "c9165eb2-af26-431b-b489-abaa454eb900",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = SAMPLE_RATE * DURATION\n",
    "\n",
    "yf = fft(normalized_tone)\n",
    "xf = fftfreq(N, 1/SAMPLE_RATE)\n",
    "\n",
    "plt.plot(xf, np.abs(yf))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "1464c6f3-f83b-4454-b6ff-848f16b9e450",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(xf, np.abs(yf))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "9f6c8e3e-ef43-4413-a67d-1ae367d92e47",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAiMAAAGsCAYAAAAPJKchAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/NK7nSAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAg9UlEQVR4nO3dfXBU9eHv8c8CYUlpsspDkl0JEL2a8iMUabASBhBkfsEgaRmZDm0ZQavOpJcHNfKH0c6g9iE4RSbjKDBYHsqgaG2QcgdqiZIHLaEtSfgJChQ1khiyTcPFLKBsAnzvHw47d5tkYddsvtnN+zVzZtiz35P97h528p7dc3IcxhgjAAAASwbYngAAAOjfiBEAAGAVMQIAAKwiRgAAgFXECAAAsIoYAQAAVhEjAADAKmIEAABYRYwAAACriBEAAGBVTMVIVVWV8vPz5fF45HA4tGvXrrB/xh/+8Afdfvvt+ta3vqUxY8bot7/9bc9PFAAAXLeYipELFy5o4sSJeumllyLa/s9//rMWLVqkgoICHT16VOvWrdPatWsj/nkAAOCbc8TqhfIcDofeeustzZ8/P7Cuvb1dv/jFL/Tqq6/qiy++UFZWlp5//nnNnDlTkvTTn/5UHR0devPNNwPblJSU6IUXXlBDQ4McDkcvPwsAABBTn4xcy4MPPqi//vWvev311/XBBx/oRz/6ke655x6dPHlSkuT3+zVkyJCgbRITE/X555/r1KlTNqYMAEC/Fzcx8sknn2jHjh168803NX36dN1yyy1auXKlpk2bpi1btkiS5syZo507d+rdd9/VlStX9M9//lMlJSWSpObmZouzBwCg/xpkewI9pba2VsYY3XbbbUHr/X6/hg8fLkl65JFH9Mknn2jevHnq6OhQcnKyHn30UT3zzDMaOHCgjWkDANDvxU2MXLlyRQMHDlRNTU2nsPj2t78t6evjTJ5//nn95je/kdfr1ciRI/Xuu+9KksaOHdvbUwYAAIqjGJk0aZIuX76slpYWTZ8+PeTYgQMH6qabbpIk7dixQzk5OUpJSemNaQIAgP8QUzFy/vx5ffzxx4Hb9fX1Onz4sIYNG6bbbrtNixYt0uLFi/XCCy9o0qRJam1t1f79+zVhwgTNnTtXra2t+uMf/6iZM2fq4sWL2rJli958801VVlZafFYAAPRvMXVqb0VFhWbNmtVp/ZIlS7R161Z1dHToV7/6lbZt26ampiYNHz5cOTk5evbZZzVhwgS1trYqPz9fR44ckTFGOTk5+vWvf60777zTwrMBAABSjMUIAACIP3Fzai8AAIhNxAgAALAqJg5gvXLlik6fPq2kpCT+ZDsAADHCGKNz587J4/FowIDuP/+IiRg5ffq00tPTbU8DAABEoLGxUaNGjer2/piIkaSkJElfP5nk5GTLswEAANfD5/MpPT098Hu8OzERI1e/mklOTiZGAACIMdc6xIIDWAEAgFXECAAAsIoYAQAAVhEjAADAKmIEAABYRYwAAACriBEAAGAVMQIAAKwiRgAAgFXECAAAsIoYAQAAVhEjAADAKmIkhLavOrSh8hOd/uIr21MBACBuESMhPFn6gVb/+bgWrD9geyoAAMQtYiSE90+2SpKa2y5angkAAPGLGAEAAFYRIwAAwCpiBAAAWEWMAAAAq4gRAABgFTECAACsIkYAAIBVxAgAALCKGAEAAFYRIwAAwCpiBAAAWEWMhOKwPQEAAOIfMQIAAKwiRgAAgFXECAAAsIoYAQAAVhEjAADAKmIEAABYRYwAAACriBEAAGAVMQIAAKwiRgAAgFXECAAAsIoYAQAAVhEjIXCdPAAAoo8YAQAAVhEjAADAKmIEAABYRYwAAACriBEAAGAVMQIAAKwKK0aKi4t1xx13KCkpSSkpKZo/f75OnDgRcpuKigo5HI5Oy/Hjx7/RxAEAQHwIK0YqKyu1dOlSHTx4UGVlZbp06ZJyc3N14cKFa2574sQJNTc3B5Zbb7014kkDAID4MSicwW+//XbQ7S1btiglJUU1NTWaMWNGyG1TUlJ0ww03hD1BAAAQ377RMSNtbW2SpGHDhl1z7KRJk+R2uzV79myVl5eHHOv3++Xz+YIWAAAQnyKOEWOMCgsLNW3aNGVlZXU7zu12a+PGjSotLdXOnTuVmZmp2bNnq6qqqtttiouL5XK5Akt6enqk0wQAAH2cwxhjItlw6dKl2rNnj95//32NGjUqrG3z8/PlcDi0e/fuLu/3+/3y+/2B2z6fT+np6Wpra1NycnIk043IxGf3qe2rDknSZ6vv7bXHBQAgHvh8Prlcrmv+/o7ok5Hly5dr9+7dKi8vDztEJGnKlCk6efJkt/c7nU4lJycHLQAAID6FdQCrMUbLly/XW2+9pYqKCmVkZET0oHV1dXK73RFtCwAA4ktYMbJ06VK99tpr+tOf/qSkpCR5vV5JksvlUmJioiSpqKhITU1N2rZtmySppKREY8eO1fjx49Xe3q7t27ertLRUpaWlPfxUAABALAorRtavXy9JmjlzZtD6LVu26IEHHpAkNTc3q6GhIXBfe3u7Vq5cqaamJiUmJmr8+PHas2eP5s6d+81mDgAA4kLEB7D2pus9AKancQArAACRi+oBrAAAAD2FGAEAAFYRIwAAwCpiBAAAWEWMAAAAq4gRAABgFTECAACsIkZCcDhszwAAgPhHjAAAAKuIEQAAYBUxAgAArCJGAACAVcQIAACwihgBAABWESMAAMAqYgQAAFhFjAAAAKuIEQAAYBUxAgAArCJGQuDSNAAARB8xAgAArCJGAACAVcQIAACwihgBAABWESMAAMAqYgQAAFhFjAAAAKuIEQAAYBUxAgAArCJGAACAVcQIAACwihgBAABWESMhOBxcKg8AgGgjRgAAgFXECAAAsIoYAQAAVhEjAADAKmIEAABYRYwAAACriBEAAGAVMQIAAKwiRgAAgFXECAAAsIoYAQAAVhEjIXBlGgAAoo8YAQAAVhEjAADAKmIEAABYRYwAAACrwoqR4uJi3XHHHUpKSlJKSormz5+vEydOXHO7yspKZWdna8iQIbr55pu1YcOGiCcMAADiS1gxUllZqaVLl+rgwYMqKyvTpUuXlJubqwsXLnS7TX19vebOnavp06errq5OTz31lFasWKHS0tJvPHkAABD7BoUz+O233w66vWXLFqWkpKimpkYzZszocpsNGzZo9OjRKikpkSSNGzdOhw4d0po1a7RgwYLIZg0AAOLGNzpmpK2tTZI0bNiwbsdUV1crNzc3aN2cOXN06NAhdXR0dLmN3++Xz+cLWgAAQHyKOEaMMSosLNS0adOUlZXV7Tiv16vU1NSgdampqbp06ZJaW1u73Ka4uFgulyuwpKenRzpNAADQx0UcI8uWLdMHH3ygHTt2XHOswxH8t0yNMV2uv6qoqEhtbW2BpbGxMdJpAgCAPi6sY0auWr58uXbv3q2qqiqNGjUq5Ni0tDR5vd6gdS0tLRo0aJCGDx/e5TZOp1NOpzOSqQEAgBgT1icjxhgtW7ZMO3fu1P79+5WRkXHNbXJyclRWVha0bt++fZo8ebISEhLCmy0AAIg7YcXI0qVLtX37dr322mtKSkqS1+uV1+vVV199FRhTVFSkxYsXB24XFBTo1KlTKiws1LFjx7R582Zt2rRJK1eu7LlnESXdfIsEAAB6UFgxsn79erW1tWnmzJlyu92B5Y033giMaW5uVkNDQ+B2RkaG9u7dq4qKCt1+++365S9/qRdffJHTegEAgKQwjxm5euBpKFu3bu207q677lJtbW04DwUAAPoJrk0DAACsIkYAAIBVxAgAALCKGAEAAFYRIwAAwCpiBAAAWEWMAAAAq4gRAABgFTECAACsIkZC4uI0AABEGzECAACsIkYAAIBVxAgAALCKGAEAAFYRIwAAwCpiBAAAWEWMAAAAq4gRAABgFTECAACsIkYAAIBVxAgAALCKGAnBwaVpAACIOmIEAABYRYwAAACriBEAAGAVMQIAAKwiRgAAgFXECAAAsIoYAQAAVhEjAADAKmIEAABYRYwAAACriBEAAGAVMQIAAKwiRkLgOnkAAEQfMQIAAKwiRgAAgFXECAAAsIoYAQAAVhEjAADAKmIEAABYRYwAAACriBEAAGAVMQIAAKwiRgAAgFXECAAAsIoYCcHBxWkAAIg6YgQAAFhFjAAAAKvCjpGqqirl5+fL4/HI4XBo165dIcdXVFTI4XB0Wo4fPx7pnAEAQBwZFO4GFy5c0MSJE/Xggw9qwYIF173diRMnlJycHLg9cuTIcB8aAADEobBjJC8vT3l5eWE/UEpKim644YawtwMAAPGt144ZmTRpktxut2bPnq3y8vKQY/1+v3w+X9ACAADiU9RjxO12a+PGjSotLdXOnTuVmZmp2bNnq6qqqtttiouL5XK5Akt6enq0pwkAACwJ+2uacGVmZiozMzNwOycnR42NjVqzZo1mzJjR5TZFRUUqLCwM3Pb5fAQJAABxysqpvVOmTNHJkye7vd/pdCo5OTloAQAA8clKjNTV1cntdtt4aAAA0MeE/TXN+fPn9fHHHwdu19fX6/Dhwxo2bJhGjx6toqIiNTU1adu2bZKkkpISjR07VuPHj1d7e7u2b9+u0tJSlZaW9tyzAAAAMSvsGDl06JBmzZoVuH312I4lS5Zo69atam5uVkNDQ+D+9vZ2rVy5Uk1NTUpMTNT48eO1Z88ezZ07twemDwAAYp3DGGNsT+JafD6fXC6X2traevX4kSm/eVde30VJ0mer7+21xwUAIB5c7+9vrk0DAACsIkYAAIBVxAgAALCKGAEAAFYRIwAAwCpiBAAAWEWMAAAAq4gRAABgFTECAACsIkYAAIBVxAgAALCKGAnB4bA9AwAA4h8xAgAArCJGAACAVcQIAACwihgBAABWESMAAMAqYgQAAFhFjAAAAKuIEQAAYBUxAgAArCJGAACAVcQIAACwihgBAABWESMhcJ08AACijxgBAABWESMAAMAqYgQAAFhFjAAAAKuIEQAAYBUxAgAArCJGAACAVcQIAACwihgBAABWESMAAMAqYgQAAFhFjITgcHB1GgAAoo0YAQAAVhEjAADAKmIEAABYRYwAAACriBEAAGAVMQIAAKwiRgAAgFXECAAAsIoYAQAAVhEjAADAKmIEAABYRYwAAACrwo6Rqqoq5efny+PxyOFwaNeuXdfcprKyUtnZ2RoyZIhuvvlmbdiwIZK5AgCAOBR2jFy4cEETJ07USy+9dF3j6+vrNXfuXE2fPl11dXV66qmntGLFCpWWloY9WQAAEH8GhbtBXl6e8vLyrnv8hg0bNHr0aJWUlEiSxo0bp0OHDmnNmjVasGBBuA8PAADiTNSPGamurlZubm7Qujlz5ujQoUPq6Ojochu/3y+fzxe0AACA+BT1GPF6vUpNTQ1al5qaqkuXLqm1tbXLbYqLi+VyuQJLenp6tKcJAAAs6ZWzaRwOR9BtY0yX668qKipSW1tbYGlsbIz6HAEAgB1hHzMSrrS0NHm93qB1LS0tGjRokIYPH97lNk6nU06nM9pTAwAAfUDUPxnJyclRWVlZ0Lp9+/Zp8uTJSkhIiPbDAwCAPi7sGDl//rwOHz6sw4cPS/r61N3Dhw+roaFB0tdfsSxevDgwvqCgQKdOnVJhYaGOHTumzZs3a9OmTVq5cmXPPAMAABDTwv6a5tChQ5o1a1bgdmFhoSRpyZIl2rp1q5qbmwNhIkkZGRnau3evHn/8cb388svyeDx68cUXOa0XAABIiiBGZs6cGTgAtStbt27ttO6uu+5SbW1tuA8FAAD6Aa5NAwAArCJGQujmzGMAANCDiBEAAGAVMQIAAKwiRgAAgFXECAAAsIoYAQAAVhEjAADAKmIEAABYRYwAAACriBF8Yy2+i6ptOGt7GgCAGBX2tWmA//T937wrSXrrf0/VpNE3Wp4NACDW8MkIeszf6/+v7SkAAGIQMRIC16YBACD6iBEAAGAVMYIeY2xPAAAQk4gRAABgFTECAACsIkYAAIBVxAh6jOGgEQBABIgRAABgFTECAACsIkbQYwwn9wIAIkCMAAAAq4gRAABgFTECAACsIkZCcIgr5YWDU3sBAJEgRgAAgFXECAAAsIoYAQAAVhEjAADAKmIEAABYRYwAAACriBH0GMO5vQCACBAjAADAKmIEAABYRYwAAACriBH0GA4ZAQBEghgJwcGlaQAAiDpiBAAAWEWMAAAAq4gR9BgOGQEARIIYAQAAVhEjAADAKmIEPYZTewEAkSBGAACAVcQIAACwihgBAABWESPoMYaTewEAEYgoRtatW6eMjAwNGTJE2dnZeu+997odW1FRIYfD0Wk5fvx4xJMGAADxI+wYeeONN/TYY4/p6aefVl1dnaZPn668vDw1NDSE3O7EiRNqbm4OLLfeemvEkwYAAPEj7BhZu3atHnroIT388MMaN26cSkpKlJ6ervXr14fcLiUlRWlpaYFl4MCBEU+6t3CdPAAAoi+sGGlvb1dNTY1yc3OD1ufm5urAgQMht500aZLcbrdmz56t8vLykGP9fr98Pl/Qgr6PvzMCAIhEWDHS2tqqy5cvKzU1NWh9amqqvF5vl9u43W5t3LhRpaWl2rlzpzIzMzV79mxVVVV1+zjFxcVyuVyBJT09PZxpAgCAGDIoko0cjuAvMIwxndZdlZmZqczMzMDtnJwcNTY2as2aNZoxY0aX2xQVFamwsDBw2+fzESQAAMSpsD4ZGTFihAYOHNjpU5CWlpZOn5aEMmXKFJ08ebLb+51Op5KTk4MWAAAQn8KKkcGDBys7O1tlZWVB68vKyjR16tTr/jl1dXVyu93hPDRiAIeMAAAiEfbXNIWFhbr//vs1efJk5eTkaOPGjWpoaFBBQYGkr79iaWpq0rZt2yRJJSUlGjt2rMaPH6/29nZt375dpaWlKi0t7dlnAgAAYlLYMbJw4UKdOXNGzz33nJqbm5WVlaW9e/dqzJgxkqTm5uagvznS3t6ulStXqqmpSYmJiRo/frz27NmjuXPn9tyzAAAAMcthTN8/IdPn88nlcqmtra1Xjx+Z+dtyfXbmS0nSZ6vv7bXHjTVjn9wjSVpx9/9SYW7mNUYDAPqL6/39zbVpAACAVcQIAACwihgBAABWESMhdPeH3NC1Pn/wEQCgTyJGAACAVcQIAACwihgBAABWESPoMX3/L9YAAPoiYgQAAFhFjAAAAKuIEfQYw8m9AIAIECMAAMAqYgQAAFhFjAAAAKuIEfQYTu0FAESCGAEAAFYRIyFwmTwAAKKPGAEAAFYRI+gxHDICAIgEMQIAAKwiRgAAgFXECHoMp/YCACJBjAAAAKuIEQAAYBUxAgAArCJG0GMMJ/cCACJAjAAAAKuIEQAAYBUxEgoXpwEAIOqIEfQcDhkBAESAGAEAAFYRIwAAwCpiBD2Gb2kAAJEgRgAAgFXECAAAsIoYAQAAVhEj6DHGcNQIACB8xAgAALCKGAEAAFYRIwAAwCpiBD2GQ0YAAJEgRkLgOnkAAEQfMQIAAKwiRgAAgFXECHoMh4wAACJBjAAAAKuIEQAAYBUxgh7Dqb0AgEhEFCPr1q1TRkaGhgwZouzsbL333nshx1dWVio7O1tDhgzRzTffrA0bNkQ0WQAAEH/CjpE33nhDjz32mJ5++mnV1dVp+vTpysvLU0NDQ5fj6+vrNXfuXE2fPl11dXV66qmntGLFCpWWln7jyQMAgNgXdoysXbtWDz30kB5++GGNGzdOJSUlSk9P1/r167scv2HDBo0ePVolJSUaN26cHn74Yf3sZz/TmjVrvvHkAQBA7BsUzuD29nbV1NToySefDFqfm5urAwcOdLlNdXW1cnNzg9bNmTNHmzZtUkdHhxISEjpt4/f75ff7A7d9Pl8407xupTWf6+jptm7v/+TfFwL/fvb/fBiVOcSTN2saZTjBFwBi0oLvjVLWTS4rjx1WjLS2tury5ctKTU0NWp+amiqv19vlNl6vt8vxly5dUmtrq9xud6dtiouL9eyzz4YztYhU/vPf2v0/p69r7Ja/fhbdycSBcxcv8ToBQIyaNPrG2IiRqxyO4Ku2GGM6rbvW+K7WX1VUVKTCwsLAbZ/Pp/T09EimGtJ//1eq0ocldnt/x2WjnbVNuvs7IzUyydnjjx8vPmv9Uocbv9APb/coxH8DAEAfdmvKt609dlgxMmLECA0cOLDTpyAtLS2dPv24Ki0trcvxgwYN0vDhw7vcxul0yumM/i///Ike5U/0hBzz1NxxUZ8HAAD9WVgHsA4ePFjZ2dkqKysLWl9WVqapU6d2uU1OTk6n8fv27dPkyZO7PF4EAAD0L2GfTVNYWKjf/e532rx5s44dO6bHH39cDQ0NKigokPT1VyyLFy8OjC8oKNCpU6dUWFioY8eOafPmzdq0aZNWrlzZc88CAADErLCPGVm4cKHOnDmj5557Ts3NzcrKytLevXs1ZswYSVJzc3PQ3xzJyMjQ3r179fjjj+vll1+Wx+PRiy++qAULFvTcswAAADHLYUzf/yPePp9PLpdLbW1tSk5Otj0dAABwHa739zfXpgEAAFYRIwAAwCpiBAAAWEWMAAAAq4gRAABgFTECAACsIkYAAIBVxAgAALCKGAEAAFaF/efgbbj6R2J9Pp/lmQAAgOt19ff2tf7Ye0zEyLlz5yRJ6enplmcCAADCde7cOblcrm7vj4lr01y5ckWnT59WUlKSHA5Hj/1cn8+n9PR0NTY2cs2bPoZ90zexX/om9kvfxH75+hORc+fOyePxaMCA7o8MiYlPRgYMGKBRo0ZF7ecnJyf32/8ofR37pm9iv/RN7Je+qb/vl1CfiFzFAawAAMAqYgQAAFjVr2PE6XRq1apVcjqdtqeC/8C+6ZvYL30T+6VvYr9cv5g4gBUAAMSvfv3JCAAAsI8YAQAAVhEjAADAKmIEAABY1a9jZN26dcrIyNCQIUOUnZ2t9957z/aU4sYzzzwjh8MRtKSlpQXuN8bomWeekcfjUWJiombOnKkPP/ww6Gf4/X4tX75cI0aM0NChQ/WDH/xAn3/+edCYs2fP6v7775fL5ZLL5dL999+vL774ojeeYkyoqqpSfn6+PB6PHA6Hdu3aFXR/b+6HhoYG5efna+jQoRoxYoRWrFih9vb2aDztmHCtffPAAw90eg9NmTIlaAz7pmcVFxfrjjvuUFJSklJSUjR//nydOHEiaAzvmSgx/dTrr79uEhISzCuvvGI++ugj8+ijj5qhQ4eaU6dO2Z5aXFi1apUZP368aW5uDiwtLS2B+1evXm2SkpJMaWmpOXLkiFm4cKFxu93G5/MFxhQUFJibbrrJlJWVmdraWjNr1iwzceJEc+nSpcCYe+65x2RlZZkDBw6YAwcOmKysLDNv3rxefa592d69e83TTz9tSktLjSTz1ltvBd3fW/vh0qVLJisry8yaNcvU1taasrIy4/F4zLJly6L+GvRV19o3S5YsMffcc0/Qe+jMmTNBY9g3PWvOnDlmy5Yt5ujRo+bw4cPm3nvvNaNHjzbnz58PjOE9Ex39Nka+//3vm4KCgqB13/nOd8yTTz5paUbxZdWqVWbixIld3nflyhWTlpZmVq9eHVh38eJF43K5zIYNG4wxxnzxxRcmISHBvP7664ExTU1NZsCAAebtt982xhjz0UcfGUnm4MGDgTHV1dVGkjl+/HgUnlVs+89feL25H/bu3WsGDBhgmpqaAmN27NhhnE6naWtri8rzjSXdxcgPf/jDbrdh30RfS0uLkWQqKyuNMbxnoqlffk3T3t6umpoa5ebmBq3Pzc3VgQMHLM0q/pw8eVIej0cZGRn68Y9/rE8//VSSVF9fL6/XG/T6O51O3XXXXYHXv6amRh0dHUFjPB6PsrKyAmOqq6vlcrl05513BsZMmTJFLpeL/XgdenM/VFdXKysrSx6PJzBmzpw58vv9qqmpierzjGUVFRVKSUnRbbfdpkceeUQtLS2B+9g30dfW1iZJGjZsmCTeM9HUL2OktbVVly9fVmpqatD61NRUeb1eS7OKL3feeae2bdumv/zlL3rllVfk9Xo1depUnTlzJvAah3r9vV6vBg8erBtvvDHkmJSUlE6PnZKSwn68Dr25H7xeb6fHufHGGzV48GD2VTfy8vL06quvav/+/XrhhRf0j3/8Q3fffbf8fr8k9k20GWNUWFioadOmKSsrSxLvmWiKiav2RovD4Qi6bYzptA6RycvLC/x7woQJysnJ0S233KLf//73gYPwInn9/3NMV+PZj+Hprf3AvgrPwoULA//OysrS5MmTNWbMGO3Zs0f33Xdft9uxb3rGsmXL9MEHH+j999/vdB/vmZ7XLz8ZGTFihAYOHNipLltaWjqVKHrG0KFDNWHCBJ08eTJwVk2o1z8tLU3t7e06e/ZsyDH/+te/Oj3Wv//9b/bjdejN/ZCWltbpcc6ePauOjg721XVyu90aM2aMTp48KYl9E03Lly/X7t27VV5erlGjRgXW856Jnn4ZI4MHD1Z2drbKysqC1peVlWnq1KmWZhXf/H6/jh07JrfbrYyMDKWlpQW9/u3t7aqsrAy8/tnZ2UpISAga09zcrKNHjwbG5OTkqK2tTX//+98DY/72t7+pra2N/XgdenM/5OTk6OjRo2pubg6M2bdvn5xOp7Kzs6P6POPFmTNn1NjYKLfbLYl9Ew3GGC1btkw7d+7U/v37lZGREXQ/75ko6vVDZvuIq6f2btq0yXz00UfmscceM0OHDjWfffaZ7anFhSeeeMJUVFSYTz/91Bw8eNDMmzfPJCUlBV7f1atXG5fLZXbu3GmOHDlifvKTn3R5etyoUaPMO++8Y2pra83dd9/d5elx3/3ud011dbWprq42EyZM4NTe/8+5c+dMXV2dqaurM5LM2rVrTV1dXeAU9t7aD1dPU5w9e7apra0177zzjhk1alTcnqZ4PULtm3PnzpknnnjCHDhwwNTX15vy8nKTk5NjbrrpJvZNFP385z83LpfLVFRUBJ1S/eWXXwbG8J6Jjn4bI8YY8/LLL5sxY8aYwYMHm+9973uB07fwzV099z4hIcF4PB5z3333mQ8//DBw/5UrV8yqVatMWlqacTqdZsaMGebIkSNBP+Orr74yy5YtM8OGDTOJiYlm3rx5pqGhIWjMmTNnzKJFi0xSUpJJSkoyixYtMmfPnu2NpxgTysvLjaROy5IlS4wxvbsfTp06Ze69916TmJhohg0bZpYtW2YuXrwYzaffp4XaN19++aXJzc01I0eONAkJCWb06NFmyZIlnV539k3P6mp/SDJbtmwJjOE9Ex0OY4zp7U9jAAAAruqXx4wAAIC+gxgBAABWESMAAMAqYgQAAFhFjAAAAKuIEQAAYBUxAgAArCJGAACAVcQIAACwihgBAABWESMAAMAqYgQAAFj1/wDcBTv9eXSwwwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.fft import rfft, rfftfreq\n",
    "\n",
    "# Note the extra 'r' at the front\n",
    "yf = rfft(normalized_tone)\n",
    "xf = rfftfreq(N, 1 / SAMPLE_RATE)\n",
    "\n",
    "plt.plot(xf, np.abs(yf))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "a5599ead-a063-439f-a1f6-f0de7ea6dbc6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.fft import irfft\n",
    "\n",
    "new_sig = irfft(yf)\n",
    "\n",
    "plt.plot(new_sig[:1000])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "c9a7ea67-5919-4136-80ae-27e245c31fd9",
   "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": 5
}