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@carlthome
Last active September 20, 2016 15:53
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# RMSE comparison\n",
"Compare two methods for calculating root-mean-square energy (RMSE) for signals.\n",
"1. Calculated from the audio samples, directly in the time domain.\n",
"2. By summing all the frequency bins' magnitudes after a short-time Fourier transform (STFT). "
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n",
"import librosa as lr\n",
"import numpy as np\n",
"\n",
"# Load example audio file.\n",
"y, _ = lr.load(lr.util.example_audio_file())\n",
"\n",
"# Make sure audio is equally divisible into the frame size.\n",
"frame_length = 2048\n",
"y = lr.util.fix_length(y, y.size - y.size % frame_length)\n",
"assert y.size % frame_length == 0\n",
"\n",
"# Take STFT of audio and keep magnitudes.\n",
"S = lr.magphase(lr.stft(y, n_fft=frame_length))[0]\n",
"S_windowless = lr.magphase(lr.stft(y, n_fft=frame_length, window=np.ones, center=False))[0]"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# Calculate RMS in time domain.\n",
"rmss1 = lr.feature.rmse(y=y)\n",
"\n",
"# Calculate RMS in time-frequency domain without a windowing function.\n",
"rmss2 = lr.feature.rmse(S=S_windowless)\n",
"\n",
"# Calculate RMS in time-frequency domain after windowing.\n",
"rmss3 = lr.feature.rmse(S=S)\n",
"\n",
"# Normalize RMS envelopes.\n",
"rmss1, rmss2, rmss3 = map(lambda x: lr.util.normalize(x, axis=1), [rmss1, \n",
" rmss2, \n",
" rmss3])"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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faKWU7tatmy4uLnY69vzzz2tfX1995MgRp/JFixZpNzc3ffLkSa211p988olW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fAAAg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\nSZKkWrFAlSRJUq1YoEqSJKlW/gJXU4asqnkkiQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f63c8267b38>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Compare time domain RMS and time-frequency RMS. They should be roughly the same.\n",
"%matplotlib inline\n",
"plt.figure(figsize=(8,4))\n",
"plt.plot(rmss1.T[:100], marker='.', alpha=0.5)\n",
"plt.plot(rmss2.T[:100], marker='x', alpha=0.5)\n",
"plt.plot(rmss3.T[:100], marker='o', alpha=0.5)\n",
"plt.legend(['Time', 'Time-frequency', 'Windowed time-frequency']);"
]
}
],
"metadata": {
"anaconda-cloud": {},
"kernelspec": {
"display_name": "Python [conda root]",
"language": "python",
"name": "conda-root-py"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.2"
}
},
"nbformat": 4,
"nbformat_minor": 1
}
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