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@carlthome
Created September 6, 2016 15:48
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Just testing if a melspectrogram can be inverted somehow.
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{
"cells": [
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PolyCollection at 0x7fdbc3c2d588>"
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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oVps4bD6zGRuPbrS+++HeH2pbTTYQKLTn/9KRl/LmAYAn9z6Z+BTPbMYnyQe1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\nzjpv0zIAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fdbc3c2f1d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"import numpy as np\n",
"import librosa as lr\n",
"\n",
"n_fft = 2048\n",
"\n",
"# Load example audio file.\n",
"y, sr = lr.load(lr.util.example_audio_file(), sr=None)\n",
"\n",
"# Take STFT of audio.\n",
"S = lr.stft(y, n_fft)\n",
"\n",
"# Prepare filter banks.\n",
"M = lr.filters.mel(sr, n_fft)\n",
"M_pinv = np.linalg.pinv(lr.filters.mel(sr, n_fft))\n",
"\n",
"# Transform STFT to mel scale.\n",
"S_mel = np.dot(M, S)\n",
"\n",
"# Transform mel scaled spectrogram back to linear STFT.\n",
"S_reconstructed = np.dot(M_pinv, S_mel)\n",
"\n",
"# Use original phase.\n",
"S_reconstructed = np.abs(S_reconstructed) * np.exp(1j * np.angle(S))\n",
"\n",
"# Reconstruct audio from retransformed STFT.\n",
"reconstructed = lr.istft(S_reconstructed)\n",
"\n",
"# Compare results in time domain. The original and reconstructed audio should look similar.\n",
"lr.display.waveplot(y, sr, alpha=0.5, color='g')\n",
"lr.display.waveplot(reconstructed, sr, alpha=0.5, color='r') "
]
}
],
"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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