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@thomasbrandon
Last active July 25, 2019 08:54
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import scipy.signal as sig\n",
"import matplotlib.pyplot as plt\n",
"from matplotlib.cm import get_cmap\n",
"import librosa as lr\n",
"from librosa.display import specshow\n",
"from IPython.display import set_matplotlib_formats\n",
"set_matplotlib_formats('svg')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"16kHz Sine sweep:"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(32000,)"
]
},
"execution_count": 2,
"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": [
"sr1 = 16000\n",
"y1 = sig.chirp(np.linspace(0, 2, sr1*2), f0=100, t1=2, f1=7000)\n",
"plt.specgram(y1, Fs=sr1);\n",
"y1.shape"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Compute STFT with n_fft=1024, hop_length=256"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(513, 126)"
]
},
"execution_count": 3,
"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": [
"nfft1 = 1024\n",
"hop1 = 256\n",
"Y1 = lr.amplitude_to_db(np.abs(lr.stft(y1, n_fft=nfft1, hop_length=256)))\n",
"specshow(Y1, sr=sr1, hop_length=hop1,x_axis='time', y_axis='hz',cmap=get_cmap());\n",
"Y1.shape"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The same sweep as above, at 22kHZ sample rate:"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(44100,)"
]
},
"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": [
"sr2 = 22050\n",
"y2 = sig.chirp(np.linspace(0, 2, sr2*2), f0=100, t1=2, f1=7000)\n",
"plt.specgram(y2, Fs=sr2);\n",
"y2.shape"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Try to replicate the above STFT by scaling n_fft and hop_length based on new rate:"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(1411, 352)"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"nfft2 = int(nfft1 * sr2/sr1)\n",
"hop2 = int(hop1 * sr2/sr1)\n",
"nfft2,hop2"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Still the frequencies of our new FFT length, select the initial bins:"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(706, 126)"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Y2 = lr.amplitude_to_db(np.abs(lr.stft(y2, n_fft=nfft2, hop_length=hop2)))\n",
"Y2.shape"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(513, 126)"
]
},
"execution_count": 7,
"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": [
"Y2 = Y2[:nfft1//2+1,:]\n",
"specshow(Y2, sr=sr1, hop_length=hop1,x_axis='time', y_axis='hz',cmap=get_cmap()) # Still show with Y1 params\n",
"Y2.shape"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"That looks OK, the same sized result, and signal looks right.\n",
"\n",
"What if we ISTFT our 'resampled STFT', first we see what the ISTFT of the original looks like:"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(32000,)"
]
},
"execution_count": 8,
"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": [
"y1b = lr.istft(Y1, win_length=nfft1, hop_length=hop1, length=sr1*2)\n",
"plt.specgram(y1b, Fs=sr1)\n",
"y1b.shape"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(32000,)"
]
},
"execution_count": 9,
"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": [
"y2b = lr.istft(Y2, win_length=nfft1, hop_length=hop1, length=sr1*2)\n",
"plt.specgram(y2b, Fs=sr1)\n",
"y2b.shape"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Neither looks great but Looks OK, I'm not sure you'd necessarily see issues this way.\n",
"\n",
"What about if our signal goes above the nominal 8kHz Nyquist:"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(44100,)"
]
},
"execution_count": 10,
"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": [
"y3 = sig.chirp(np.linspace(0, 2, sr2*2), f0=100, t1=2, f1=10000)\n",
"plt.specgram(y3, Fs=sr2);\n",
"y3.shape"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(513, 126)"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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JI+2ANQ+c62TbYfwA+Gfn3B+JSC5QAPwl8IZzbpOIPAE8ATwuIquAB4HVQDXwuogsd86lgB8CG4F38YJxN7A1y89uGDOG2Dzd0TRc4ceo9uvqEr9fdQSAmriexE67CoDtp72zyG9WV1HQoTumzFkYkEXBEJES4CvAnwM454aBYRG5F9gQXPYssA14HLgXeNE5NwQcFZFDwHoRaQZKnHPvBD/3OeA+TDAMIyS2UOsVA0Fb8pEGna/95ZJPgAtdRdOwbrHdebwegKI2fT3ReSaMzVkYkF2HcS3QDfwXEVkHvA88BlQ45zoAnHMdIpLuL1CDdxBp2oLcSBBfnB+DiGzEOxHyKch0iWHMGi5wFddGhh2t9M7ha6v2hrnP5flGglFX8eLJW8LY7fYjWK/Zr64i1XJsgp/YmOlkUzASwI3Ad5xzO0TkB/jlp0shGXLuMvmxSec2A5sBSqTUahzGrCbqKgar88J4uMH3dfpyifaCSjuLqKvYcbwhjNPOItF1NswlU1rDMAzIrmC0AW3OuR3B9/+AF4xOEakK3EUV0BW5vi5yfy3QHuRrM+QNY04zWh4ZdlStzmFlQwcAK3I7wtxI8L9POwaWhrnzLSVhXH7c941yXXqYzzAuJmuC4Zw7ISLHROQ659wB4E6gKfjnIWBT8PXl4JZXgBdE5Gl80XsZsNM5lxKRPhG5FdgBfAt4JlvPbRjTnURNNQCnlxWHub61Oofiz6r9ym5ZfCTMNQ1fA8BLh7XbbOke/ZnzDvuidrJPi+KGcTHZ3iX1HeBHwQ6pI8B/B8SALSLyMNAK3A/gnNsrIlvwgpIEvh3skAJ4BN1WuxUreBtzmLSziLqK6xpOhPGy3E5AXQXArkG/bfZci4rMonbtRutsF5QxDrIqGM65D4GbM7x05yWufwp4KkN+F/4sh2HMSeILdPnpXIWfbjfQoDuXNpR9EsYLY95t9IxqXWNbt5+OV9iiIpPfofWK1BndEWUYl8JOehvGDMA1VIdx70p/VmLJWm0YeFdR05h7Xu9fFcaH9vgyYP0+XaaSFisFGp8OEwzDmKbE588P4/OVhWE8UO/XmjaU6S6otKsAdRbbuvXUdlHgLPI7I67i9OkJfmJjtmOCYRjTlYir6FmpJ7AXr/XnI75a/HGY04Um+HX/SgA++Ug3HaadhbR0YBhXiwmGYUwz4sW+MH2+SpsHDjRoBfv2skPAha6id1QF5dcnvbMoitYrOoMRqr02w8K4ekwwDGOaIeW+rXh0hGpevW53vaXQC0ZO5Ejr/uGqMN7X4uOqdi2Kx7r88pM1+DA+CyYYhjENiBepmzi3xE+3643sC/zzZe+H8bIc7xK6U+oqftSubT6KPvI1jJJPIr2g2o5P7AMbcxITDMOYBqRdBUB/jReCvAZ1FTcXHgnjtLM4OFwR5ppa1WFUBM4idlIFw5yFMRGYYBjGVCFaY0hW6I6o/lqvCLfU6LbZxoTWHgZH/eu/Oau7oHJadPZFYbvvUjt60qbjGROLCYZhTBGJBt3FdPK6SHfldd5Z/LdlO8JUcUw9wtvn/JmKn+/TNauKJn0996hvz5YcHJzYBzbmPCYYhjHZBM4iWRlpHlirFezPB84ik6sAdRaZXAWYszCyhwmGYUwyiTJf1O6r0g/8wUY9gX37NQeAC13FkRHtAfXbE4sBKIxMicnp0vncKXMWRpYwwTCMSSa12Beoe1bHw9yXVx8I41vmHQXgvFNX8dNTN4Vx324vOPX71VW4luiMMcPIDiYYhjEJJMrLwriv2k/KG2xQV/GVBdo8sFh8k+aWpLqK35y4NoyLgkF4OZ3mKozJxQTDMCYBV3ZNGPfVeGdRW98d5tbkjx2H+uH5+jDuadb764NhR2K1CmOSMcEwjCxxgatYph/4p9f6D/z/sV5H2FfHz4XxsaRvNPj80fVh7pqPdfmq4JCfipfstul4xuRigmEYWeICV1GrH/jV9X7AUSZXAbA7cBbdLTqzu+64DjsyZ2FMFSYYhjHBxAr8mYrhSq1BDNRp88CvVfpeUGVxLVqfGdW/ir/uXQFAQauKzLwTeuo7aYJhTBEmGIYxwchif7Cud4VOvCtb1xnGf1jyIQA5qIi8NbgsjN/f4wvcdftSYS7erCNYk84afRhTQ1YFQ0SagT4gBSSdczeLSCnwEtAINAMPOOdOBdc/CTwcXP+oc+7VIH8TOtP7F8BjzjmHYUwT0q4CYLjcO4t+PcjNVysOh3Flwu9o6nPqILb3XhfGaWcxryPiKmzmtjENmAyHcYdzLlqdewJ4wzm3SUSeCL5/XERWAQ8Cq4Fq4HURWe6cSwE/BDYC7+IF425g6yQ8u2GMi7SrAOhd6Z3FonVdYe5fzv9dGKedxS8jruK9j3XbbF2TdxbxozrsyFyFMR2YiiWpe4ENQfwssA14PMi/6JwbAo6KyCFgfeBSSpxz7wCIyHPAfZhgGFNMtCV52lWAOou7KrXDbNpVgDqLC1xFi/5VTDsLq1UY041sC4YDXhMRB/xn59xmoMI51wHgnOsQkfLg2hq8g0jTFuRGgvji/BhEZCPeiZBPQaZLDGPCkIW6C2qgJjeMXaMXhy8W6WG8fNEV1KZh38r8gzZ1Jde06evxTj/syFyFMd3ItmB8yTnXHojCL0Vk/2WulQw5d5n82KQXpM0AJVJqNQ4jK6SdxdC15WGud5X+mn79uj0ArMnTQvfpUa1XvNjlz1fk7C4Mcws+0VPbyVYbdmRMT7IqGM659uBrl4j8DFgPdIpIVeAuqoD0Qm8bECkTUgu0B/naDHnDmBLSzmKgWl3FaKMevLut2PeFirqK/cN6puL9Nv9rvuACVxGZjmfOwpimZE0wRKQQiDnn+oL4q8D/DrwCPARsCr6+HNzyCvCCiDyNL3ovA3Y651Ii0icitwI7gG8Bz2TruQ0jI5FhR6ky35a8v0Zdxdo6dQVLcvwej5GIx323f6ne3+ydRWG79pIa7dI2IYYxXcmmw6gAfiYi6T/nBefcP4vIe8AWEXkYaAXuB3DO7RWRLUATkAS+HeyQAngE3Va7FSt4G5NMol7LZqeW+yWpc+vUVfxJpZbfSuP+VPaHQ9oa5O8P3qCv7/Vf8w+pSNiwI2MmkDXBcM4dAdZlyPcAd17inqeApzLkdwHXj73DMLJIBlcB0BcMO1pTpyujy3N0C23aWewcWKL3N2u9oui4dxbmKoyZhp30NoxLkFikdYeBqnka13vju2Gh7oKaH9NeT50pPxhpe5cuQxUd0+WrvKDNh7UkN2YaJhiGcTGBsxitrwxTPSv0r8qaNf58xe2FuukvWqb++dnPAXB8d1WYq983rBc02y4oY2ZigmEYF5F2FgNVepZnoF4l4fZF3lmUxrRonXYVAG91+aWowqiriLT5SPXrFlrDmEmYYBjGxQTbZvur9a/HgkY9dX3jvGYA4pETQnuHtCje3OrPZ9Qc0+aB0n0qG09qGJOKCYZhAImFC8N4cIkXjFPXq6v49rU7w/jaxFkA2pPqKv5r2y1hXPJRDgDFB1Vkkp1aFDeMmYoJhmEALIoMOwqcRUkGVwHqLPYPa43iaKue+q5p80IjXdYLyphdmGAYc5ZYnjqE4YqxzQN/r6o5zNXEtQbRN+qL4ttOa/PA/BY99V3Q4Xc/pU5aS3JjdmGCYcxZYo3acebUdbptNn+drzf8q9JdYa4gpse2fzXYCMCvm1aEueq9unyVOOqHHSVTWsMwjNmACYYx50g7i5FIS/KBSLeyO6qPAlCf0P5OaVcB8NaZ5QDkRVxFYbueqUjZsCNjlmKCYcw5YkGbj5MRV5G77nQYp51F1FVsG6wP49ebVgIXuYpm7UybTOp2W8OYTZhgGHOCWK66gZGKsSNUb69uDuO0sxgc1X2zb53RekXaWaRrFQCjVq8w5gAmGMacILZIt832VfklqaEGPX192/wDYZx2FvuHtX/UO+2NYVx0zH/N6YzM3B6OnOQ2jFmKCYYxa5FEThgnGyvCuGe1r0fctWpfmLsp/1gYp53FT3pvDnPDu1U8Kg74LrWjNujImGOYYBizlniZuooz1bqFNu0sbpuvzQOLY1qPSDuLt9sXh7nCyJDgnBP+4F5y6PzEPrBhTHNMMIxZiyvTw3j9tbrLaUm9L1CvytP25KnIsKPfnWsEoK95fpirb9NCtuuxA3nG3MQEw5h1JCr8qeuzy/QD/+xarTH821o/7KgyPhTmDo6UhPGPjvilqGs+VpEpOHIyjJO91hfKmJuYYBizDlfuu832RVzF4nrt5bQitwO40FXsGrw2jM82+yWp+nadccFJEwnDGJdgiMhtwNuRkamIyI3OuQ+y9mSG8SmIFxWF8fkqH/fXqyJ8o/xQGJfFfe2hd1SL4ttPLgvjwlYvNPkntA15sse2zRrGeB3Gq8B7IvKAcy59QumvgRuvdKOIxIFdwHHn3D0iUgq8BDQCzcADzrlTwbVPAg8DKeBR59yrQf4mdKb3L4DHnHMOw0izWI9q96705yTq1+oupq8VfxTGad/xq4GVYW7vnoYwrt/vnUWsuSPMRQckGcZcZbyCcQD4d8A2EXnYOfc2IFe4J81jwD4gvUj8BPCGc26TiDwRfP+4iKwCHgRWA9XA6yKyPHA1PwQ2Au/iBeNuYOs4/3xjlhJ1FUOVGg/U+f+X+EbFwTCXdhWgzmL7yeVhLu0qAOZ1eGdhtQrDuJDxCoZzzv1cRA4AL4nI3wJX/D98EakF/hB4CvifgvS9wIYgfhbYBjwe5F90zg0BR0XkELBeRJqBEufcO8HPfA64DxOMOY9EDuP11+jyUqLRf+CvLzwc5nIi/3tzeKQMgL3HtD15+XH9dY51+zYho858hWFEGa9gCIBz7mBQz/gvwNpx3Pf/AP8zUBzJVTjnOoKf1yEi6UECNXgHkaYtyI0E8cX5sQ8pshHvRMinINMlxiwgVuD/255fWhbmelfr63+y7HcArMjRukNvSn/Vn+/4AgDzdmsvqZJPIqe2j+l2W8MwlHEJhnPuhkg8ADwgIvWXuQURuQfocs69LyIbxvHHZFricpfJZ3rOzcBmgBIptRrHLCVW7oUi6irijQNhnHYWUVfxyYgOONpzrBq40FXEu7X5YNKchWFk5LKCISLPcPmlp0cv89qXgK+LyB8A+UCJiDwPdIpIVeAuqoD0fsc2INIOjlqgPcjXZsgbc4i0qwB1FlFX8WDgKgBW53b71yOu4oUTt4Zx2llc4CqszYdhXJErOYxdkfh/A74/3h/snHsSeBIgcBjfc859U0T+HfAQsCn4+nJwyyvACyLyNL7ovQzY6ZxLiUifiNwK7AC+BTwz3ucwZgdpVwEwUO2dRdRV3Fqk22bTzuLwyKIw99ExXcVcFDgLcxWG8em4rGA4555NxyLy3ej3n4FNwBYReRhoBe4P/qy9IrIFaAKSwLcj5z4eQbfVbsUK3nOOVIWe2u6v9YpwU602DGzM0XYd551//a0+bUkea9Z6RWG7P+HtemwXlGF8Gj7NSe+rrgk457bhd0PhnOsB7rzEdU/hd1RdnN8FXH+1f74xM0k06Aplz/LCMB5Z553Fg+U7w9yCmI5Dfe98JQCvHFgT5hY16a9v3hG/Cprs14N5hmFcGWsNYkw/xJ+JSFVoS/G0qwC4sdZvmrs2R/s7pV0FwNv9/nyFNGvdo/C49o0yZ2EYV8eVit59qLMoEJGz6ZfwZzNKMt9pGFdPYpHvBdVfpR/4gw3a1+n2Uj/sqFjUVRxLqgN5s2MJoIOOAHK7tMCdMmdhGFfFlWoYxZd73TAmDNGT1qnF/kBdz6p4mPv89Tq74rYCf4J7JLLj+p/OhDu/6f3IF8jr90VcxdHoUR7DMK4GW5IypgWJyLCjtLMYrFcHkXYVoM7iAldxYmkYp53FBa5iUOdvG4ZxdZhgGNOC6LCjvhrvLMobusPcuvzWMffsGdKi+InW0jCua/OCIl026MgwJhITDGPKSJTpOYn+JVrgPn29/8D/XqN2iqlL6JmL9pTfIvtfW24Jc/P36K9y4SFfDE92a1HcMIzPjgmGMWW4ReoK+mv0V7EscBaZXAXAnvPeWbS36jJW2lWAOQvDyBYmGMakk25LPlKhLcn7I01h7qk6AkBlQusOfU4L4NtO+QN5BSpMgCYAABoESURBVC3661vQERl2ZM7CMLKCCYYx+dT55n+9K/LDVMk6/ZC/b4Ef5JgTOSv6q8ElYfz2Xl/grmtSVxE/qsOOIoNVDcOYQEwwjEkh2jww7SyiruIPKo+EcXXCu4Woq3jztA47Kmj2vaQK2iOuoksL5IZhZAcTDGNSiEW2zQ5U5wGQajgX5r5coucs8sU7i4MjWgjfdVzVpaQtaB7YeSbMmaswjOxjgmFklbSzGG6MDDta5Q/c/cuVe8Lc2lxdUuob9Yf4ftylLcljH+oZ0gUH/I6pZHNLFp7YMIxLYYJhZJVYsBNqoDo3zI00+PnaXyzWluQFMa1X7Bn29+w8rjO60q4CIHHCtyU3V2EYk4sJhjHhROsVw4v9pLveVdr6456VHwPwuTwdWpR2FQAvdfvzFbI74ir26zmMZEukSZRhGJOGCYYx4cQi5yvSzmKk8XyYS9crMrkKgB1tDQAURV1FV6ReYcOODGNKMMEwJpzRRZFhR9XeOayq0xrFstxOAEYiE1Z2Dui22eEWv4uq6PhImHNddrbCMKYaEwxjQkjU6gjU08t1KWlgnXcWf1q9I8yVxb0QNA1r/6iXDt4YxqV+xYp5h3vCnA07MoypxwTDmBBGy3ULbF+N1iNW1J/wXyO7oNLOYseAdpgdalGRqWj35WxzFYYxvciaYIhIPvAmkBf8Of/gnPu+iJQCLwGNQDPwgHPuVHDPk8DDQAp41Dn3apC/CZ3p/QvgMefcVY+MNSaOeKl3CecqtNA9UK81hjsW+XpFaUyXl7pH/TmM7d0qGIWtOtsiP2jzkerT9uSGYUw92XQYQ8DvOef6RSQH+I2IbAW+AbzhnNskIk8ATwCPi8gq4EFgNVANvC4iy51zKeCHwEbgXbxg3A1szeKzG+PENfhhR70rc8Lc8rV6PuKOon0ARMvUr/X58exHP6oNc/X7VFBoac/CkxqG8VnJmmAEDiC98JwT/OOAe4ENQf5ZYBvweJB/0Tk3BBwVkUPAehFpBkqcc+8AiMhzwH2YYEwZ8QW6/HSuwg8x6m9QSdhQpqe2F8b81LuewFUAbOteBkBhi7qKvBO6bTZ1RndEGYYxfchqDUNE4sD7wFLgPzjndohIhXOuA8A51yEi5cHlNXgHkaYtyI0E8cX5TH/eRrwTIZ+CTJcYE4Bc0JbcO4uihtNh7uZ5R8M4J9CE/UOVYe5gq4+rj6vIxLpPhbFtmjWM6UlWBSNYTvqciCwAfiYi11/mcsmQc5fJZ/rzNgObAUqk1GocE0h8vm6VHVyqfaFOrfEf7w8veT/MLclR8TiR8s7i+XZt81G825/NKD6k1yXbtShuGMb0ZFJ2STnnTovINnztoVNEqgJ3UQV0BZe1AZH+pdQC7UG+NkPemEQkOnO7RusV8xr88tHNBdptNici8QeHKwA40KIOo6rdi0ysSwXDXIVhTH+yuUuqDBgJxGIecBfwfwKvAA8Bm4KvLwe3vAK8ICJP44vey4CdzrmUiPSJyK3ADuBbwDPZem7jQiTuW4wny0vC3EBEvr9c0wxAXULrDoOjqhhvnvFtyfNatIZR2O671I6etMl4hjGTyKbDqAKeDeoYMWCLc+7nIvIOsEVEHgZagfsBnHN7RWQL0ITvK/ftYEkL4BF0W+1WrOA9acQbfQPA7hXzwlxsnYrD/Qt3AlAcU4/w1jltGvjPTasBqNqnr+cc9aYyOaTtQgzDmP5kc5fUR8ANGfI9wJ2XuOcp4KkM+V3A5eofxgSSdhWgzqK/Vl3DF2p022zaWURdxW/OLgvj3MBZFLTr7IvRHnMWhjETsZPexhjiDVpK6l7hd5vJurNh7sFF2uYj7SzePqfrVFsDVwFQ2eRfzz3SFeaS51Q8DMOYOZhgGB7Rdh7JikjzwMBZ3FLTGuYy1Su2n70uzOW06Kzugg6/7GSuwjBmPiYYBgCJyC6os1X6gX++0Z/Avn3BgTAXrVccHPFLVm93LA5zRZFTM7mdvr2HuQrDmPmYYMx1AmeRvLY6TPWs1hrGbav2A3Br5DBetF7xs96bfW63Huar26/F7NFWHZJkGMbMxgRjjpN2Fn0RV3GuQfs63X6NdxZRV3FkRDvL/vaEdxZFkSF4OV3aijw1ODixD2wYxpRhgjHHceXeGfTVqquoq9cC9Zo8v76Uipyb/+BcYxj3Nvu+UvXtOmFb7HyFYcxKTDDmIInysjDuW+Y/8E+vVVfxnfp3wrgi7peXWpLqKp5v/nwYX/OxF5qCQzq7ItltcywMYzZigjEHcWU66S7tLOoa1FWsyhtbd/jwvB7G62nW++uPe2dhrsIwZj8mGHOEWIF27x2q0jYf/XV+reme8kNhrjKuO5rOjPpfkW09um22sFWXr/I7gl1QJhiGMesxwZgjyGI9WNe7IjeMK9f5Eap/OP/DMKcnMmDboBeK3+3RbbN1+7ReEW/xXWaTztoHGsZsxwRjlpN2FsOVWoMYqNMK9tcqDgNQFtetsGlXAfBmr28eWBBxFfNO6OhUcxaGMXcwwZjlxIJts/3V6iqkUbe6fqHIL0Xli4rInpFFYfzhMT+ralGbvh7vjMyxMGdhGHMGE4xZyAX1iqV+oGHvaj1s943lu8N4Va4vdvem9Ffhx5067Chvt/9Z8z+JuAo7jGcYcxITjFlILDrsKO0sGnVm9peKD4Zx2lk0JfWe37XpBNzS4/51cxWGYZhgzBYizQNTFQvCuL/GO4sbatUVNCZ6wvi886//tk9bktNcGIZF7UMAjHbrPYZhzE1MMGYJiXp1Bb3Li8J4aJ2vV/xxxbthrjSuu5w+GPIjVH/2yTp9fa/WK/IOBcOOrMWHYcx5TDBmOoGzyOQqAD5X553Fkhw9fZ12FQDv9C8FwDVr3aOofTiMzVkYhpHGBGOGk3YWvcvUVZxfpwfv/rTCt/mIuooPh7Q1yE8DZ1G6V39m2lWAOQvDMJSsCYaI1AHPAZXAKLDZOfcDESkFXgIagWbgAefcqeCeJ4GHgRTwqHPu1SB/EzrT+xfAY845x1wlWq8o884iOkJ1bZ3WK9LOYiTybr0buAqAVFCvKGzXXlLmKgzDyEQ2HUYS+LfOuQ9EpBh4X0R+Cfw58IZzbpOIPAE8ATwuIquAB4HVQDXwuogsd86lgB8CG4F38YJxN7A1i88+rUks0tkTA1Xz/Nf6VJjbsFCHHc2PeWfRnpoX5rZ3qWAUHfNCk9ehI1itJblhGJnImmA45zqAjiDuE5F9QA1wL7AhuOxZYBvweJB/0Tk3BBwVkUPAehFpBkqcc+8AiMhzwH3MNcGIuoqGqjDuWen/E65bczjMbShQwUhvgN16VovaHbsrw7h+n69XuKORMXmGYRgZmJQahog0AjcAO4CKQExwznWISHlwWQ3eQaRpC3IjQXxxPtOfsxHvRMinINMlM5ZMrgLUWWxY+EmYS7sKgM6UH4yUyVUA5AVtPsxVGIZxJbIuGCJSBPwE+K5z7qyIXPLSDDl3mfzYpHObgc0AJVI6u2ocC7WleH+1/mcrbfT1hhvnNYe5eOQd2zPkmw62tGihu+6YLl9Jl/WCMgxjfGRVMEQkBy8WP3LO/TRId4pIVeAuqoD0lpw2oC5yey3QHuRrM+TnBIky39dpYKkKRu/1etL6Lxa/B0BDQlt3tCd13Opzx3ybjwUf5YS5ooNa1E52dU/wExuGMVvJ5i4pAf4G2Oecezry0ivAQ8Cm4OvLkfwLIvI0vui9DNjpnEuJSJ+I3Ipf0voW8Ey2nnvaETiLqKtY0KiuIO0soq5i75Cu2LW2emdR02auwjCMz0Y2HcaXgD8D9ohIetjCX+KFYouIPAy0AvcDOOf2isgWoAm/w+rbwQ4pgEfQbbVbmeUF79g8rVEMV/i25P0R73VX1dEwrol7Z9E3qkXx7ad12FF+i3cWBR3aSypp22YNw7gKsrlL6jdkrj8A3HmJe54CnsqQ3wVcP3FPN72JRdp8nLrOLy/NW6eu4I9K3wvjgpgv1fxy4Nowt71peRjX7PXLV4kjHWHOmgcahnE12EnvaUImVwHQH1Rv7qoe6ypAncVbZ7R5YH6zzr4oaPfOInXSXIVhGJ8NE4xpQmyhbpsdrM4L4+EG3y32yyXakjztKgCahv1J7x3HG8JcUWTYUaLLH8hLprSGYRiGcTWYYEwxsTy/5DSyuDzM9a7UesTdq3yTp5vyjoW5aL3i73vWAzC6e36Yu2a/nqlItdiBPMMwJgYTjCkmFhzIOxtxFUOBqwD4ynx/IC+TqwB453gjAIURXUi7CoBkUntEGYZhfBZMMKaAWK7WGNLOoneVuoavrtoXxmlnEXUVP+n5fBgnA2dxzYGIq2hWN2IYhjFRmGBMAbFFOg61r8ovSQ016AyK2+ZrL6i0s9g/rEtO77Q3hnFRoA05J8xVGIaRXUwwpoDRMj213VfjncOy+hNhbkWexum25LvOLQ5z/S0lYVx/3IuDO2mH8QzDyC4mGJNEoko7xJ5Zph/4feu8s/hezY4wVxnXGsb+oF7x48M3h7nSPbo8VXDYt/ZInj49wU9sGIZxISYYk4SLuopa/cBfUt8JwKo8bY+VirRN/N25Rn9Psy5JpV0FgOsxZ2EYxuRggpFl4sX+EN75ysIwN1CvinB72SEAFsbUVfSOaqPAX5/0p7YLW1Vk8jv14F6q99QEP7FhGEZmTDCyTWMwc3uV7oxqWKt7YH+/eA8Ascgtr/evDuP9H9UDUL9fZ1zEWrTGYU0+DMOYLEwwskC8qCiMz1f5uL9OXcU3yg+FcVn8PHChq9h+Utt8pJ1Ffoe6imSPtfkwDGPyMcHIAlK+KIz7a7wQ5Db0h7n1hTpONSdoz3hwuCLMNR3TEawVx72HiJ08E+bMVRiGMRWYYEwQF7iKJSoYp4LVpT9b/n6YW5GjDqE75QXl+Y5bw1zhbh2ANP+ToBdUq7X4MAxjajHBmCAkchgv7SoAEo3eWWRyFaDOYm/EVZS36/JVrNtvlzVXYRjGVGOCMUEkK7W/U3+tKsL6mlYAGhO6m2lwVF9/u28pAIlmbW9eePx8GI/agTzDMKYJJhifkUSjbyt+8rqCMJdap/WKB8p2AlAcU4/w7vnqMP6n/WsAKG9SV5HbrHO2k4PaI8owDGMqMcH4jKQq/IG6qKv4fG1rGDfmeIdw3unrvzmrE/HigbMobI+4ChuhahjGNCRrgiEifwvcA3Q5564PcqXAS0Aj0Aw84Jw7Fbz2JPAwkAIedc69GuRvQud5/wJ4zDnnmEIS5WVh3FflP/AHG/ScxFcWfBLGxeIHF7UkdYreb07oONWweWCnupKUuQrDMKYh2XQYfwf8f8BzkdwTwBvOuU0i8kTw/eMisgp4EFgNVAOvi8hy51wK+CGwEXgXLxh3A1uz+NxXJLVYC9Q9q+MAfPF6bUn+xQItcI8EY83/8fSNYe7sbt1FVb8/cBbHtDWIYRjGdCRrguGce1NEGi9K3wtsCOJngW3A40H+RefcEHBURA4B60WkGShxzr0DICLPAfcxBYKRyVUAnKv3zmLDNdqSPO0qAI4lfUuQ33SMdRWgziLVrw7DMAxjOjLZNYwK51wHgHOuQ0TSc0lr8A4iTVuQGwnii/OTh/iT1qlG7Tbbuyoexrdc74Uik6sAePnMTQCc+kgFp36/9o0yZ2EYxkxhuhS9JUPOXSaf+YeIbMQvX5FPwaUu+1Qkyvz5iv4q/XnResXtpV4wMrkKgDc7lgAXuorcrkjzQHMWhmHMECZbMDpFpCpwF1VAV5BvA+oi19UC7UG+NkM+I865zcBmgBIpnZDCeLoteV+tuorK+q4wXpM3dhzq7vP1YdzV4md21x1XQZFu6zBrGMbMY7IF4xXgIWBT8PXlSP4FEXkaX/ReBux0zqVEpE9EbgV2AN8Cnsn2Q0brFf1LvWCcXqOu4nsNOuyoLjEAXOgqnm+5JYwXfOyFpvDQyTCX7NJzFoZhGDOFbG6r/TG+wL1IRNqA7+OFYouIPAy0AvcDOOf2isgWoAlIAt8OdkgBPIJuq93KJBS8Lxh2VOM/8Mvr9UN+XX7rmHv2DKlBOhG4CoC6Nv+vIV12YtswjJlNNndJ/fElXrrzEtc/BTyVIb8LuH4CHy0j0eaBw+V6ZqI/0IH7qrSoXZnQcxJ9zgvK9t7rwlxBq76t84K25Elr8WEYxgxnuhS9p546bddxakVeGF+z1juLe+drt9mcSN39V4O+qL3j4yVhrrZJ6xXxZj/sKOmsfaBhGDObOS8YsQK/+2m4cqyrALin6giQ2VUAbDvlnUVBi76VBR268ylpbT4Mw5glmGAE22YHqnWE6mjjuTC+rdhvm80XdRX7h7VG8X6bV5cFbfp6vFOHHZmzMAxjtjAnBSPtKgCGF/sdUb2r9MjHPdftCeM1eZ0AnB5VV/Fit+6Ciu/2tY8FByKuorllgp/YMAxj6pmbgrFIHcJAta9XpCKu4ssl2jww7SyiruK9Nj1nMT9wFhe4igl+XsMwjOnAnBIMiXuXkCqPbpv1zmJNnZ4HXJ6jB/NGgpWmnQNa1E4165mLouMjAIza2QrDMGY5s18wgl5QAPFavxPq1HLdQntunXcW36x6J8yVxtUj7Bn2NY4tB2/Q1/fqj88/5IXCBh0ZhjHbmf2CESk6jy7yw47SrgJgdV0HAEty1CGMRJqKpJ1FsllFJu0qANxJ2wVlGMbcYNYKhuTlkqhbDCP64Z52FoNrdbrdN6t8k9yyuF6XdhUAL37iu82Wfqw/O/9wpM2HNQ80DGOOMGsFg1iM0aJ5uDx1Bv01fnlqVeAqAJbl+l1QmVwFwHCLv7+wPeIqulQwDMMw5gqzVjBcXEiV5DFSkhPmBur98tTtiw6GudKYF4LOVH6Y2961NIyLjvnlq/zIYTxrSW4Yxlxk1gqGpEZJnBrkxC26vLRibTMAdxVp1Tpd4Xi1b02Ya/lIZzTVNw37oPl41p7VMAxjJjBrBWM0N865hvkM1GnR+45F/nxF2lUAdI/6cxjbuyOuolWL4vknfPvyVJ8OPTIMw5iLzF7ByBH6KxMUNZwOczfMawYgHpnj1zTkt9oebq0Ic9VtKjI27MgwDMMzawUDB7GU40+WvhemluR48TiR0m60zx/3bT6Kd2svqeKDKjLJjhPZflLDMIwZwawVjMTCYUofauXmeUfDXE7gLPYPVYa5g60+rj6uriIWcRXWOtAwDMMzawVj+Ewu7f/UQP1j2uNpcNQrxltndNhRXot3FgUdelI7ZdtmDcMwxjBrBWNZ+Qle+e7/dUHurXMNALzWtDLMVTV5D5FzpDPMJZMjGIZhGBcyawUjR+LUJgppTQ6Eud+eXQZAXovWMAo6fC8pcxWGYRiXZ8YIhojcDfwAiAN/7ZzbdLnrk4zSlRrk4Ih2pn27fTEAhW16XW6XP4RnrsIwDOPyzAjBEJE48B+AfwG0Ae+JyCvOuaZL3dM+UsJfdXyVw2f14N753V486g5qLyl3wtqSG4ZhjIcZIRjAeuCQc+4IgIi8CNwLXFIwBkZy2dlRz9lTOrtiYTAIL3EmIhjWltwwDGNczBTBqAGORb5vA265+CIR2QhsDL4d2vP1/+Pj6Os2OPWqWQRYkWdisPdy4rD3cuKIvpcNl7popgiGZMi5MQnnNgObAURkl3Pu5mw/2FzA3suJw97LicPey4ljvO9l7EoXTBPagLrI97VA+yWuNQzDMLLATBGM94BlIrJYRHKBB4FXpviZDMMw5hQzYknKOZcUkb8AXsVvq/1b59zeK9y2OftPNmew93LisPdy4rD3cuIY13spzo0pBRiGYRjGGGbKkpRhGIYxxZhgGIZhGONi1gmGiNwtIgdE5JCIPDHVzzNTuNL7JiIbROSMiHwY/PNXU/GcMxUR+VsR6RKRj698tZHmSu+b/V5ePSJSJyK/FpF9IrJXRB674j2zqYYRtBD5hEgLEeCPL9dCxBjf+yYiG4DvOefumZKHnOGIyFeAfuA559z1U/08M4UrvW/2e3n1iEgVUOWc+0BEioH3gfsu93k52xxG2ELEOTcMpFuIGJfH3rcs45x7E+id6ueYadj7lj2ccx3OuQ+CuA/Yh++qcUlmm2BkaiFy2TfAAMb/vn1BRHaLyFYRWT05j2YYV8R+Lz8jItII3ADsuNx1M+IcxqdgXC1EjDGM5337AGhwzvWLyB8A/wgsy/qTGcblsd/Lz4iIFAE/Ab7rnDt7uWtnm8OwFiJXxxXfN+fcWedcfxD/AsgRkUWT94iGMRb7vfxsiEgOXix+5Jz76ZWun22CYS1Ero4rvm8iUikiEsTr8b87PZP+pIYRwX4vr57gffsbYJ9z7unx3DOrlqSusoXInOdS75uI/Ovg9f8E/BHwiIgkgXPAg242bbHLMiLyY2ADsEhE2oDvO+f+ZmqfavqT6X0DcsB+LyeALwF/BuwRkQ+D3F8GTi0js2pbrWEYhpE9ZtuSlGEYhpElTDAMwzCMcWGCYRiGYYwLEwzDMAxjXJhgGIZhGONiVm2rNYypQEQWAm8E31YCKaA7+H7QOffFKXkww5hgbFutYUwgIvK/Av3OuX8/1c9iGBONLUkZRhYRkf7g6wYR2S4iW0TkExHZJCJ/KiI7RWSPiCwJrisTkZ+IyHvBP1+a2n8Dw1BMMAxj8lgHPAaswZ+wXe6cWw/8NfCd4JofAP+3c+7zwL8KXjOMaYHVMAxj8njPOdcBICKHgdeC/B7gjiC+C1gVtEcCKBGR4mBegWFMKSYYhjF5DEXi0cj3o+jfxRjwBefcucl8MMMYD7YkZRjTi9eAv0h/IyKfm8JnMYwLMMEwjOnFo8DNIvKRiDQB/3qqH8gw0ti2WsMwDGNcmMMwDMMwxoUJhmEYhjEuTDAMwzCMcWGCYRiGYYwLEwzDMAxjXJhgGIZhGOPCBMMwDMMYF/8/uDm8jTWa2I0AAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"Y3 = lr.amplitude_to_db(np.abs(lr.stft(y3, n_fft=nfft2, hop_length=hop2)))\n",
"Y3 = Y3[:nfft1//2+1,:]\n",
"specshow(Y3, sr=sr1, hop_length=hop1,x_axis='time', y_axis='hz',cmap=get_cmap()) # Still show with Y1 params\n",
"Y3.shape"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"STFT looks OK, the sweep is truncated as you'd expect."
]
}
],
"metadata": {
"kernelspec": {
"display_name": "fastai_audio-venv",
"language": "python",
"name": "fastai_audio-venv"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.3"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
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