{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import seaborn\n",
    "import numpy, scipy, matplotlib.pyplot as plt, IPython.display as ipd\n",
    "import librosa, librosa.display\n",
    "plt.rcParams['figure.figsize'] = (14, 5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[← Back to Index](index.html)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Energy and RMSE"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The **energy** ([Wikipedia](https://en.wikipedia.org/wiki/Energy_(signal_processing%29); FMP, p. 66) of a signal corresponds to the total magntiude of the signal. For audio signals, that roughly corresponds to how loud the signal is. The energy in a signal is defined as\n",
    "\n",
    "$$ \\sum_n \\left| x(n) \\right|^2 $$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The **root-mean-square energy (RMSE)** in a signal is defined as\n",
    "\n",
    "$$ \\sqrt{ \\frac{1}{N} \\sum_n \\left| x(n) \\right|^2 } $$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's load a signal:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "x, sr = librosa.load('audio/simple_loop.wav')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Listen to the signal:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
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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": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ipd.Audio(x, rate=sr)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plot the signal:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PolyCollection at 0x11d679e50>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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eDD8ignmKkFc8iOQYQSxmSBGqYywnuMB7x6onUFAYXAxPmVINVQsJvJbDSIAQ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\nRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11d3b7d10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "librosa.display.waveplot(x, sr=sr)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Compute the short-time energy using a list comprehension:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "hop_length = 256\n",
    "frame_length = 1024"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "energy = numpy.array([\n",
    "    sum(abs(x[i:i+frame_length]**2))\n",
    "    for i in range(0, len(x), hop_length)\n",
    "])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(194,)"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "energy.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Compute the RMSE using [`librosa.feature.rmse`](https://librosa.github.io/librosa/generated/librosa.feature.rmse.html):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "rmse = librosa.feature.rmse(x, frame_length=frame_length, hop_length=hop_length)[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(190,)"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rmse.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plot both the energy and RMSE along with the waveform:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "frames = range(len(energy))\n",
    "t = librosa.frames_to_time(frames, sr=sr, hop_length=hop_length)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x10fbd8ad0>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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yBD28tumf5Nnyef/cBbEgCOCmCbdw3RE3sql+Ew9uuhZ/2AvItHVx6DkCDtIs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\nAEDB+f912T1TA7ShgwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11d6a7dd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "librosa.display.waveplot(x, sr=sr, alpha=0.4)\n",
    "plt.plot(t, energy/energy.max(), 'r--')             # normalized for visualization\n",
    "plt.plot(t[:len(rmse)], rmse/rmse.max(), color='g') # normalized for visualization\n",
    "plt.legend(('Energy', 'RMSE'))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Questions"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Write a function, `strip`, that removes leading and trailing silence from a signal. Make sure it works for a variety of signals recorded in different environments and with different signal-to-noise ratios (SNR)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[&larr; Back to Index](index.html)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}