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@bmcfee
Created February 20, 2015 15:25
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{
"metadata": {
"name": "",
"signature": "sha256:81ca3a7cb5bf71369e453ec71e379ac490c77fc3d27277ad97e8214bf8c0d2c3"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Changes from the previous implementation of delta()\n",
"\n",
"- padding is now by `width`, not `half_length`\n",
"- trimming\n",
" - was `delta[half_length:-half_length]`\n",
" - is now `delta[-half_length - data.shape[axis]: -half_length]`\n",
" - this keeps the right shape, and centers the result properly\n",
"- `window` is normalized by its squared l2 norm\n",
" - this prevents the magnitude of the delta output from scaling in proportion to the window length\n",
" - the demo below demonstrates this"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import librosa\n",
"import numpy as np"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import matplotlib.pyplot as plt\n",
"%matplotlib inline\n",
"import seaborn\n",
"seaborn.set(style='dark')"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"np.set_printoptions(precision=3)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 3
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"m = 1.0\n",
"X = m * np.arange(50)\n",
"\n",
"plt.figure()\n",
"plt.subplot(3,1,1)\n",
"plt.plot(X)\n",
"plt.title('X (slope={:.3f})'.format(m))\n",
"\n",
"plt.subplot(3,1,2)\n",
"for width in 2 * np.arange(1, 10) + 1:\n",
" plt.plot(librosa.feature.delta(X, \n",
" width=width,\n",
" trim=False).ravel(),\n",
" label='width={:d}'.format(width), \n",
" alpha=0.8)\n",
"\n",
"plt.ylim([0, m + 0.5])\n",
"plt.title('delta(X) (untrimmed)')\n",
"plt.legend(loc='best', \n",
" ncol=3, \n",
" frameon=True, \n",
" framealpha=0.5)\n",
"\n",
"plt.subplot(3,1,3)\n",
"for width in 2 * np.arange(1, 10) + 1:\n",
" plt.plot(librosa.feature.delta(X, \n",
" width=width,\n",
" trim=True).ravel(),\n",
" label='width={:d}'.format(width), \n",
" alpha=0.8)\n",
"plt.xlim([0, len(X)])\n",
"plt.ylim([0, m + 0.5])\n",
"plt.title('delta(X) (trimmed)')\n",
"plt.legend(loc='best', \n",
" ncol=3, \n",
" frameon=True, \n",
" framealpha=0.5)\n",
"\n",
"plt.tight_layout()\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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6QHxjMnrAUsU9nQ00JaMKviIiIrJhKRAfwgrFMnsHstOWKt6dzrJ3IEupXD34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K2V4EqrecpOOwObK//LUL3dEdb0TcAxu46K6vxfZzSwld4Wq+KFp3gyxTX5TxDyTmeAl5usAW+T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\ncwkE/EOuy6OPfovi4hKWLr2dpUtvp7R0DA8//PXhvcFRbCS1jZC60dRuX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"text": [
"<matplotlib.figure.Figure at 0x7f8efbfc3c10>"
]
}
],
"prompt_number": 6
}
],
"metadata": {}
}
]
}
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