STFT.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from librosa.core import stft\n",
    "from nnAudio import Spectrogram\n",
    "import matplotlib.pyplot as plt\n",
    "from torch.nn.functional import conv1d\n",
    "\n",
    "import torch\n",
    "\n",
    "fs = 22050\n",
    "s = np.linspace(0,10,fs*10)\n",
    "x = np.sin(2*np.pi*50*s, dtype=np.float32) + np.sin(2*np.pi*100*s, dtype=np.float32) \\\n",
    "    + np.sin(2*np.pi*200*s, dtype=np.float32) + np.sin(2*np.pi*400*s, dtype=np.float32) \\\n",
    "    + np.sin(2*np.pi*800*s, dtype=np.float32) + np.sin(2*np.pi*1600*s, dtype=np.float32) \\\n",
    "    + np.sin(2*np.pi*3200*s, dtype=np.float32) + np.sin(2*np.pi*6400*s, dtype=np.float32) "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# nnAudio"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "STFT kernels created, time used = 0.2243 seconds\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'bins')"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x600 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "spec_layer = Spectrogram.STFT(hop_length=512, n_fft=2048, window='hann'\n",
    "                                    , freq_scale='no')\n",
    "spec = spec_layer(torch.tensor(x))\n",
    "plt.figure(dpi=150) # Need a higher resolution to see the fine lines\n",
    "plt.imshow(spec[0].numpy(), aspect='auto', origin='lower')\n",
    "plt.ylabel(\"bins\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Librosa"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'bins')"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x600 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "S_stft = np.abs(stft(x, hop_length=512, n_fft=2048, window='hann'))\n",
    "plt.figure(dpi=150) # Need a higher resolution to see the fine lines\n",
    "plt.imshow(S_stft, aspect='auto', origin='lower')\n",
    "plt.ylabel(\"bins\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Checking if the two implementations are the same"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7f8428574438>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(spec[0][:,10].numpy(), 'b')\n",
    "plt.plot(S_stft[:,10], '--r')\n",
    "plt.legend(['pytorch', 'librosa'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.allclose(S_stft, spec[0].numpy(),rtol=1e-4, atol=1e-4)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Extra functions provided in nnAudio"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Setting the frequency range for the spectrogram for log freq scale"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "sampling rate = 22050. Please make sure the sampling rate is correct in order to get a valid freq range\n",
      "STFT kernels created, time used = 0.2115 seconds\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'freq (Hz)')"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x800 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fmin=30\n",
    "fmax = 7000\n",
    "\n",
    "spec_layer = Spectrogram.STFT(hop_length=512, n_fft=2048,center=False, window='hann'\n",
    "                                    , freq_scale='log', fmin=fmin, fmax=fmax)\n",
    "spec = spec_layer(torch.tensor(x))\n",
    "plt.figure(dpi=200) # Need a higher resolution to see the fine lines\n",
    "plt.imshow(spec[0].numpy(), aspect='auto', origin='lower',extent=[0,spec[0].shape[1],30,fmax])\n",
    "plt.ylabel(\"freq (Hz)\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Setting the frequency range for the spectrogram for linear freq scale"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "sampling rate = 22050. Please make sure the sampling rate is correct in order to get a valid freq range\n",
      "STFT kernels created, time used = 0.2031 seconds\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'freq (Hz)')"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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1vOIDAAAAe7Q9Mjzp7kuSXDj1p4WboHb3tiRfH5o3mOqaXoExvenrPNOvusw+a2fqdK68MexKe1mN6To2fwUAAIAl9sjwZPDPU9d7Lxm70n/Z1N8+NXV9RMZN9396pm9n6mzt7h/M9K3UuW5VLTwuuKpulOSgBXMBAAAAZuzJ4ck/TF3fbNGgqjooycFD88tTXV9I8pXh+i5LnnXnqfvPn+k7a+p6YZ0hEDl8aL5/zpA11Znpm1cHAAAAmLInhydvmbq+z8i4+yRZ2QX1fSt/7O5OcvrQPKKqbj/v5uHvKytGTh/u+5HuPierK0DuX1UHLpjHQ6auT53T/7Yk24frhy6oMV1n+3APAAAAMGKPDU+6++NJ3jk0f62q7j47Zljt8ayheWmSV80MeWGSy4frF1fVFY7+HdovHpqXDePnecHwfb0kz5szj5snecrQPDdzwpPuviDJ64fm8VV13zl17pfk+KH52uEeAAAAYMQeG54MnpDk25n8c3hHVT2nqn6uqo6uqt9JcnZWN2B9endPv7azsmrk+UPz6CTvr6oHDPc/IJPXYo4e+p/f3Z9bMI9TsvoKzWOq6s1VdXxV3a6qHpvkA5nsU7I9yeO7+7IFdZ6a1Y1w31BVz62q44bPc5P85dB3YZKnLflnAwAAACSpmbdI9jhVdVySNye54YIhneTZ3f30BffvleTlSR428phXJHlkd29fNKCqDk5yRq54HPK0S5I8trtPHnlOqurYJKclWbRp7AVJTuruD4/V2VlVdViGU3yOy4nZf+FbSAAAAHDVbeuLclbOWGlu6e7Z02mvsj195Um6+6wkt0ryjCT/L8l3k2zLZEPYVyW57aLgZLh/e3c/PMk9MtkD5SuZvOLzlaF9Ync/Yiw4Gep8Pckdk/xOJpu/fmOYx+czCWduuyw4Gep8OMlRmbxu9Mkk3x8+nxj+duuNCk4AAABgd7THrzxhfVl5AgAAwGay8gQAAABgFxOeAAAAAIwQngAAAACMEJ4AAAAAjBCeAAAAAIwQngAAAACMEJ4AAAAAjBCeAAAAAIwQngAAAACMEJ4AAAAAjBCeAAAAAIwQngAAAACMEJ4AAAAAjBCeAAAAAIwQngAAAACMEJ4AAAAAjBCeAAAAAIwQngAAAACMEJ4AAAAAjBCeAAAAAIwQngAAAACMEJ4AAAAAjBCeAAAAAIwQngAAAACMEJ4AAAAAjBCeAAAAAIwQngAAAACMEJ4AAAAAjBCeAAAAAIwQngAAAACMEJ4AAAAAjBCeAAAAAIwQngAAAACMEJ4AAAAAjBCeAAAAAIwQngAAAACMEJ4AAAAAjBCeAAAAAIwQngAAAACMEJ4AAAAAjBCeAAAAAIwQngAAAACMEJ4AAAAAjBCeAAAAAIwQngAAAACMEJ4AAAAAjBCeAAAAAIwQngAAAACMEJ4AAAAAjBCeAAAAAIwQngAAAACMEJ4AAAAAjBCeAAAAAIwQngAAAACMEJ4AAAAAjBCeAAAAAIwQngAAAACMEJ4AAAAAjBCeAAAAAIwQngAAAACMEJ4AAAAAjBCeAAAAAIwQngAAAACMEJ4AAAAAjNhjw5Oq6jV+3ruGWidU1alV9aWqumT4PrWqTtiB+exTVY+uqvdV1YVVdXFVnVdVL62qW+1AnYOr6plV9fGq+u7w+fjwt+uvtQ4AAAAwsc+unsA1WVXtleRlSR4+03Xo8Dmpqk5O8qju3j5S5+AkZyQ5ZqbrZkkemeQ3q+qx3X3ykvkcm+S0JIfMdB01fB5RVSd190fGfxkAAACwQniS/EWSl4z0/2Ck79lZDU7+McnzkpyX5OZJnpTkNkkekeTCJH84r0BV7Z3k1KwGJ29N8vIk30xybJKnJfnJJC+tqi939zsX1NmS5O1JbpDksiT/M8k7hu57JvlPSW6U5O1Vddvu/tLI7wIAAAAGwpPka939yR29qaoOT/LEofnRJHfu7ouH9tlV9bYkZyY5OsnvV9Uru/vcOaV+M8lxw/VLuvsxU30fqap3JvlYkoOS/GlVHdndl82p8+xMgpMkeWB3//VU3/uq6mNJ3phJEPOsJA/ZgZ8LAAAAe6w9ds+TdfCErIZPj5sKTpIk3X1RkscNzX2S/N6COisBzDeT/P5s5xC4PGdo3iLJfWbHVNUhSR40NN81E5ys1HlTkncNzQcP9wAAAABLCE92QlVVknsPzc9094fmjRv+/tmhee/hvuk6hyc5cmi+aQhc5nn11PWVwpMk98rqf5avGpn6Sp29hnsAAACAJYQnO+emSW48XJ+5ZOxK/6FJbjLTd9yccVfS3RckOWdo3mnOkDXVmembVwcAAACYITxJ7ldVn6qqi6rqe1X1uao6paruNnLPz0xdf2ZJ/en+I2f6dqbOlqq61oI63xmClrm6+6tJvrtgLgAAAMAcNoy9YoCRTPYVuUWS36iq05I8pLu/MzPmsKnrZafWbJ263rIOdWq477NTfSt11nKCztYkt5ozlzWpqsOWDLGXCgAAALuVPTk8uSjJ25K8J5NVHd/P5LSauyR5dJLrJzkpyelV9R+6+4dT915n6vr7S54zfdTxtWf61rvOshrTdWZrrNXW5UMAAABg97EnhyeHdve35/z93VX14iTvTHKbTMKU307yp1Nj9p+6vnTJcy6Zuj5gpm+96yyrMV1ntgYAAAAwxx4bniwITlb6/rWq7pvJipQfy+TI4enwZNvU9b5LHrXf1PXFM32zdbZlsWV1DlzDXKbrzNZYq2Wv+xyS5OydrA0AAABXO3tseLJMd3++qt6d5MQkt6iqG3f3V4bu700NXfb6y/TmrrOv1czWGQtPltU5cA1zma6zlld8rqS7R/dVmTmNGQAAAK7xnLYz7lNT14dOXU8HCMs2UJ1eqTG7X8jO1OlceWPYlfayGtN17F0CAAAAayA8GdcL/j4dqhyxpMZ0/6fXoc7W7v7BTN9KnetW1cLTbqrqRkkOWjAXAAAAYA7hybjpY4y/MnX9han2XZbUuPPw/eUk58/0nTV1vbDOEIgcPjTfP2fImurM9M2rAwAAAMwQnixQVTdN8h+G5nnd/eWVvu7uJKcPzSOq6vYLatw+qytGTh/u+5HuPierK0DuX1UHLpjOQ6auT53T/7Yk24frhy6oMV1n+3APAAAAsMQeGZ5U1S9V1cLNcqvqhknektXTa14yZ9gLk1w+XL+4qq5w9O/QfvHQvGwYP88Lhu/rJXnenLncPMlThua5mROedPcFSV4/NI8fTgqarXO/JMcPzdcO9wAAAABL7Kmn7bw4yY9V1VuSfDCT12kuTnJwkrsmedRwnUxeifnz2QLdfU5VPT/JHyQ5Osn7q+qPk5yX5OZJnpzkNsPw53f35xbM5ZQkD0typySPGV7ReXmSbyW5XZKnZ7JPyfYkj+/uyxbUeWqS/5jkBkneUFVHJ3nH0HfPJP95uL4wydMW1AAAAABm1MybJHuEqjo/yU+vYehbkjyiu7+9oM5emQQdDxup8Yokj+zu7YsGVNXBSc5IcsyCIZckeWx3nzw22ao6NslpSRZtGntBkpO6+8Njda6Kqjosw0k+x+XE7L/wTSQAAAC46rb1RTkrZ6w0t3T37Am1V9meuvLkNzPZPPUOSW6WySqTg5J8P5N/8f9AklO6+4NjRYZA5OHDCpZHZhJ+HJzk60nOTvLS7n7nssl099er6o5JfivJA5McmeRamWxK+54kL+ruf15DnQ9X1VFJfjfJSUluMnR9IZM9Wl7Y3d9YVgcAAABYtUeuPGHjWHkCAADAZtqMlSd75IaxAAAAAGslPAEAAAAYITwBAAAAGCE8AQAAABghPAEAAAAYITwBAAAAGCE8AQAAABghPAEAAAAYITwBAAAAGCE8AQAAABghPAEAAAAYITwBAAAAGCE8AQAAABghPAEAAAAYITwBAAAAGCE8AQAAABghPAEAAAAYITwBAAAAGCE8AQAAABghPAEAAAAYITwBAAAAGCE8AQAAABghPAEAAAAYITwBAAAAGCE8AQAAABghPAEAAAAYITwBAAAAGCE8AQAAABghPAEAAAAYITwBAAAAGCE8AQAAABghPAEAAAAYITwBAAAAGCE8AQAAABghPAEAAAAYITwBAAAAGCE8AQAAABghPAEAAAAYITwBAAAAGCE8AQAAABghPAEAAAAYITwBAAAAGCE8AQAAABghPAEAAAAYITwBAAAAGCE8AQAAABghPAEAAAAYITwBAAAAGCE8AQAAABghPAEAAAAYITwBAAAAGCE8AQAAABghPAEAAAAYITwBAAAAGCE8AQAAABghPAEAAAAYITwBAAAAGCE8AQAAABghPAEAAAAYsc9mPqyq9k3ys0luluSQJNdK8sMk307yxST/3N1f2sw5AQAAAIzZ8PCkqm6a5NeSnJDkdsueWVVfTfLuJKcmOaO7L9voOQIAAAAssmHhSVWdlOTxSe6y8qc13nrjJL8xfL5ZVScn+XMrUgAAAIBdYd3DkyE0eWaSW2U1MNmW5J+SfCTJx5J8Lck3k3wryQFJrpfkJ5IcnuSYTFaobEly/SRPSvKEqnpFkmd299fWe84AAAAAi6xreFJV/yeTlSaVSWByRpLXJ/mb7r50B2vdIsmDMnnl5/Akv53kQVX14O5+x3rOGwAAAGCR9T5t566ZrCh5apJDuvu+3X3qjgYnSdLd53b3M7r7iCR3TvJ3Sa6b5N+v54QBAAAAxqx3ePKkJDfp7ud093fXq2h3n9Xdxye5fZKz16vuIlX1x1XVU5+7ruGeE6rq1Kr6UlVdMnyfWlUn7MBz96mqR1fV+6rqwqq6uKrOq6qXVtWtdqDOwVX1zKr6eFV9d/h8fPjb9ddaBwAAAEiqu3f1HK5WqurfZRLQTL/SdLfufu+C8XsleVmSh4+UPTnJo7p7+8hzD87kNadjFgy5JMlju/vkkeekqo5NclomR0HP89UkJ3X3R8bq7KyqOizJ1iQ5Lidm/zpwIx4DAAAASZJtfVHOyhkrzS0bceDMeq88uUabCkL2yWRT27V4dlaDk3/MZI+W2w3f/zj8/RFJnjXy3L0zOZp5JTh5ayZHOx+byYlFX0uyX5KXjq1kqaotSd6eSXByWZLnZfLK052H68uS3CjJ24eQAwAAAFhiw44qvoZ6fCYBxmcyCTOeMja4qg5P8sSh+dEkd+7ui4f22VX1tiRnJjk6ye9X1Su7+9w5pX4zyXHD9Uu6+zFTfR+pqndmckrRQUn+tKqO7O7L5tR5dpIbDNcP7O6/nup7X1V9LMkbk/xkJmHOQ8Z+HwAAALBJK0+q6vPD5/9U1aFrvOeWwz3nbfT8huf9VJL/NjQfnWQtm9w+IasB1OOmgpMkSXdflORxQ3OfJL+3oM5KAPPNJL8/2zkELs8ZmrdIcp858z8kk9OJkuRdM8HJSp03JXnX0HzwcA8AAAAwYrNe27lJkp/O5Bjjj1TVon09pu073HeTDZvVFf15kmsnOaW7z1w2uKoqyb2H5me6+0Pzxg1//+zQvPdw33Sdw5McOTTfNAQu87x66vpK4UmSe2X1P89XjUx9pc5ewz0AAADAiM3e86Qy2XPjzKp64CY/e6Gqun+Se2ay8uOJS4avuGmSGw/Xy8KWlf5Dc+Uw6Lg5466kuy9Ics7QvNOcIWuqM9M3rw4AAAAwZbPDk99OcmGS/ZO8tqr++yY//0qq6seTvGhoPrm7v77GW39m6vozS8ZO9x8507czdbZU1bUW1PnOELTM1d1fTbJyjPTsXAAAAIAZm71h7PsyOUHmbUluneTJVXVkkl/v7h9s8lxWPC+T02nen+QVO3Df9Gk1y45B2jp1vWUd6tRw32en+lbqrOVIpq1JbjVnLkut4ZQe+6gAAACwW9n003a6+/yqukOSN2Tyqsy9kry/qu7V3V/czLlU1c9lcozwZUke3d29A7dfZ+r6+0vGTgdD197gOstqTNeZrbEWW5cPAQAAgN3HZr+2kyQZVpncO8nzM1lFcVQmR/tu2h4cVbVvkpcNz/+T7v7kDpbYf+p62ck8l0xdH7DBddZyStBKndkaAAAAwIxNX3myYljl8eSq+mQmIcYNkrynqn6nu1+5CVP4wyRHJPlikmfsxP3bpq73XTJ2v6nri2f6Zutsy2LL6hwsSO37AAAgAElEQVS4hrlM15mtsRbLXvU5JMnZO1EXAAAArpZ2WXiyortfW1XnJnlrkhsmeXlV3Trjx+1eJVV1RJKnDM3H7eR+K9+bul72+sv05q6zr9XM1hkLT5bVOXANc5mus5ZXfK6gu0f3VJk5iRkAAACu8XZ5eJIk3f3Bqjo2yelJfjbJ7yb5hQ185O9lskLj80kOrKpfnTPm1lPXP19VKxuhvn0IW6ZDhGWbqE6v1pjdM2S2zthpPyt1OlfeGPZLmYRPy+YyXcf+JQAAALDE1SI8SZLu/uKw58nrkpyUyWkwG2XltZWbZbJx7TJPn7q+aSYbrn5q6m9HLLl/uv/TM32zdf5pDXW2zlkt86kkt01y3ao6ZNFxxVV1oyQHLZgLAAAAMGOXbBi7SHdf1N2/nOQ5mWzkenX2hSRfGa7vsmTsnYfvLyc5f6bvrKnrhXWGlS+HD833zxmypjozffPqAAAAAFM2JTzp7r26e+/u/tTy0Ul3PzXJ3ZM8NMnDNmA+D+nuGvvkipvI3m2q7/yhRmfymlGSHFFVt5/3rOHvKytGTp89Drm7z8nqCpD7V9WBC6b9kKnrU+f0vy3J9uH6oQtqTNfZPtwDAAAAjLharTyZ1t1/392ndPcpu3ouI16Y5PLh+sVVdYWjf4f2i4fmZcP4eV4wfF8vyfNmO6vq5lnd4PbczAlPhtd0Xj80j6+q+86pc78kxw/N1y56tQcAAABYdbUNT64JhlUjzx+aRyd5f1U9oKqOrqoHZPJazNFD//O7+3MLSp2S1VdoHlNVb66q46vqdlX12CQfyGSfku1JHt/dly2o89QkFw7Xb6iq51bVccPnuUn+cui7MMnTduInAwAAwB7narNh7DXYU5P8ZCavF90myV/NGfOKjIQV3X15VZ2U5IwkxyT5leEz7ZIkj+3ud47U2VpVv5TktCSHJHny8Jl2QZKTlh05DAAAAEyse3hSVa9c55Ld3Q9f55rrpru3J3l4Vb0lySMzCT8OzuTI4bOTvHQs8Jiq8/WqumOS30rywCRHJrlWJpvSvifJi7r7n9dQ58NVdVQmxz2flOQmQ9cXMtmj5YXd/Y0d+pEAAACwB6uZ/UuvesGq7UnWtWh3772e9dg4VXVYkq1JclxOzP4L978FAACAq25bX5SzcsZKc8tGvGmxUa/trOcxw+ub7gAAAADsgI0IT266pP/fJPnfmYQiN9uA5wMAAACsm3UPT7r7X8b6q+raax0LAAAAsKs5qhgAAABghPAEAAAAYITwBAAAAGCE8AQAAABghPAEAAAAYITwBAAAAGCE8AQAAABghPAEAAAAYMQ+612wqi5fw7DekbHdve7zBAAAAFiLjQglagNqAgAAAOwSGxGe/EOGlSUAAAAA13TrHp50913XuyYAAADArmLDWAAAAIARwhMAAACAEcITAAAAgBHrGp5U1Y3Ws96CZxyy0c8AAAAAWLHeK0/Oq6o/rapD17luqur+VfXxJI9c79oAAAAAi6x3eLJPksckObeqTqmqX6yqnX5GVW2pqidV1aeTvCHJrZNcuk5zBQAAAFhqvY8qvnWSP0lyQpJfHz5fq6rTk3woydlJPtXdPe/mqjo4yTFJbpfk7knumKSGz5eT/Nckr17nOQMAAAAstK7hSXefk+QeVXXHJE9LcnySGyb5reGTJJdW1TeSfGv4HJDkekl+Isl1p8rV8P2lJC9O8uLu3rae8wUAAABYZr1XniRJuvsDSU6sqsOTPCzJ/ZLcdOjeL8mNh09nNSSZdkmSdyV5eZJ3dvf2jZgnAAAAwDIbEp6sGFai/EGSP6iqn0ryc5m8inNYkhtksuJkW5ILh88nkrwvyUe6294mAAAAwC63oeHJtO7+YpLXDx8AAACAa4T1Pm0HAAAAYLciPAEAAAAYITwBAAAAGCE8AQAAABghPAEAAAAYITwBAAAAGCE8AQAAABghPAEAAAAYITwBAAAAGCE8AQAAABghPAEAAAAYITwBAAAAGLHPZjykqn5jI+p292s2oi4AAADAik0JT5K8Okmvc81OIjwBAAAANtRmhSdJUpv4LAAAAIB1sVnhyU2T/ESSlyY5Jsknk5yS5CNJ/nUYc8Oh7zeTHJXk7CSPSvKtTZojAAAAwJVsVnjy1SRvSXKbJP8lybO7e/Y1nnOSvK+q/iTJHyb5b0lenuRO3X3pJs0TAAAA4Ao267SdxyX590n+urufNSc4+ZGeeHaSNw33/O4mzREAAADgSjYrPHlgJhu8vnoH7nlVJvuk/OpGTAgAAABgLTYrPLn58P2vo6Ou6Gsz9wIAAABsus0KT1ZO2rnlDtyzMtYpPQAAAMAus1nhyaeH7ydU1dJnDmN+b+ZeAAAAgE23WeHJazJZQXJsktOq6pBFA6vqhkneOozt4V4AAACAXWKzjir+X5ls/Hpcknsk+XxV/W2SszPZ26ST3DDJMUl+Mcl+w33vH+4FAAAA2CU2JTzp7u1VdUKS1ye5V5L9k/zS8Jm1ssfJ25M8qLu3b8YcAQAAAObZrNd20t0/6O6TMglMzkhycSZByfRnW5J3JrlXd9+7u7+/WfMDAAAAmGezXtv5ke7+myR/M2wKe/Mk1xu6vpXkvO6+fLPnBAAAALDIpocnK4bXcT63q57PJqiafAAAAGDD1GQn1Q20y8ITdn977bdv9qr9lg8EAACAnbRXXzbZBGQDbXp4UlXXTXLfJHdIckiSA5M8tLv/ZWrMjZP8eJJt3f35zZ4j66MOOCC194G7ehoAAADsxury7btXeFJVj03y7CTXXvlTJotrrjUz9K5JXpdkW1Ud1t3f3LRJsm5+/q1fyE8csv+ungYAAAC7sW9dsC1n3m1jn7Fp4UlVPSPJ0zIJTC5J8okkRy8Y/ldJXpDkhkl+JcnLN2OOrK8zLjgq+11+nV09DQAAAHZjl1z4vSQf3NBnbEp4UlW3zSQ4SSYrSh7X3d+pqu3zxnf39qr66ySPS/IfIjy5Rtr+yoOz/YAf39XTAAAAYDe2/eKN32tzs1aePDaTFScf6O7fWOM9H8wkPDlqw2bFhtr/vZ/K/mXPEwAAADZO9UUb/ozNCk/unMneJn+2A/ecP3wfuu6zYVP0Dy9NlwOdAAAA2Djdl274Mzbr32xvNHx/dgfuWdkr11m3sKerWt96vcGHwC+y3r9jxa76Pcnu+Zs20+74z293+0272++ZthG/zX/31s/u9num7W6/ze9ZG//dW3+72+9JrsJvqslyjQ20WeHJpZmEIDuyAcYNh+9vr/90gGuUq8P/sV0Pu8vvmLY7/qbNtDv+89vdftPu9num7W6/ze+55tjdfpvfc82xu/223e33JDv/mzbhn8VeG/6EiS8O37fcgXt+fvjekdUqAAAAAOtqs8KT92SyYeyj1zK4qg5N8shMFt787QbOCwAAAGDUZoUnf5bkh0l+tqqePjawqv5Nkv+d5LpJLkry0vWeTFUdVFW/WlX/o6rOrKpzq+o7VXVpVX2tqt5bVU+qquuvsd4dq+p1VfUvVbWtqi6oqndV1a/t4Lx+rar+drh/21DvdVV1hx2oceAw97Or6ptV9YOq+szwW396R+YDAAAAJNWb9J5UVT0xyfMyWU1ydpK3Jnnu0H5mJuHKnZL8YlZDnUd29ys2YC6/kOTdaxj69SS/3t3vGqn1R0mensVB1N8kuW93b1vQn6o6IMmbk5y4YMj2JM/s7meMTbaqbpHkjCx+Peq7SR7U3e8Yq3NVVNVhSbYmyXE50VHFAAAAbKhtfVHOyhkrzS3d/aX1fsamnSPb3S+oqkryrCS3S3JMVvfD/S9TQyvJ5UmeuBHByZStSf4+yceG669mEoAcluS+SX45ycFJ3lZVt+vu/zdboKoeleS/Ds3zkvz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\n",
      "text/plain": [
       "<Figure size 1200x800 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "spec_layer = Spectrogram.STFT(hop_length=512, n_fft=2048,center=False, window='hann'\n",
    "                                    , freq_scale='linear', fmin=fmin, fmax=fmax)\n",
    "plt.figure(dpi=200) # Need a higher resolution to see the fine lines\n",
    "spec = spec_layer(torch.tensor(x))\n",
    "plt.imshow(spec[0].numpy(), aspect='auto', origin='lower',extent=[0,spec[0].shape[1],30,7000])\n",
    "plt.ylabel(\"freq (Hz)\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "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": "3.6.8"
  }
 },
 "nbformat": 4,
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