219 lines
1.6 MiB
Plaintext
219 lines
1.6 MiB
Plaintext
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{
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"metadata": {
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"language_info": {
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"codemirror_mode": {
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"name": "ipython",
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"version": 3
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},
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"file_extension": ".py",
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"mimetype": "text/x-python",
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"name": "python",
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"nbconvert_exporter": "python",
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"pygments_lexer": "ipython3",
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"version": "3.8.4-final"
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},
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"orig_nbformat": 2,
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"kernelspec": {
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"name": "python3",
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"display_name": "Python 3",
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"language": "python"
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}
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},
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"nbformat": 4,
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"nbformat_minor": 2,
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 1,
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"metadata": {},
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"outputs": [],
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"source": [
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"import numpy as np\n",
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"\n",
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"from scipy.io.wavfile import read\n",
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"from scipy.fft import fft, fftfreq\n",
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"\n",
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"from IPython.display import Audio\n",
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"\n",
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"from math import log10\n",
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"\n",
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"import matplotlib.pyplot as plt"
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]
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},
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{
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"source": [
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"# Audio Processing\n",
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"\n",
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"Playing around loading, visualising and processing speech"
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],
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"cell_type": "markdown",
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"metadata": {}
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"metadata": {},
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"outputs": [
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{
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"output_type": "execute_result",
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"data": {
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"text/plain": [
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"16000"
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]
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},
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"metadata": {},
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"execution_count": 2
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}
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],
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"source": [
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"Fs, data = read('sounds/f-news.wav')\n",
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"N = len(data)\n",
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"\n",
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"Fs"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 3,
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"metadata": {},
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"outputs": [
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{
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"output_type": "execute_result",
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"data": {
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"text/plain": [
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"<IPython.lib.display.Audio object>"
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],
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"text/html": "\n <audio controls=\"controls\" >\n <source src=\"data:audio/wav;base64,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},
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"metadata": {},
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"execution_count": 3
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}
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],
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"source": [
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"Audio(data, rate=Fs)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 4,
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"metadata": {},
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"outputs": [
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{
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"output_type": "display_data",
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"data": {
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"text/plain": "<Figure size 432x288 with 1 Axes>",
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|
||
|
|
},
|
||
|
|
"metadata": {
|
||
|
|
"needs_background": "light"
|
||
|
|
}
|
||
|
|
}
|
||
|
|
],
|
||
|
|
"source": [
|
||
|
|
"time_x = [i/Fs for i in range(N)] # samples to seconds\n",
|
||
|
|
"# data_db = [20 * log10(i/20e-6) for i in data]\n",
|
||
|
|
"\n",
|
||
|
|
"plt.plot(time_x, data)\n",
|
||
|
|
"plt.xlabel('Seconds')\n",
|
||
|
|
"plt.ylabel('Amplitude')\n",
|
||
|
|
"plt.title('Audio Waveform')\n",
|
||
|
|
"plt.show()"
|
||
|
|
]
|
||
|
|
},
|
||
|
|
{
|
||
|
|
"cell_type": "code",
|
||
|
|
"execution_count": 5,
|
||
|
|
"metadata": {},
|
||
|
|
"outputs": [
|
||
|
|
{
|
||
|
|
"output_type": "display_data",
|
||
|
|
"data": {
|
||
|
|
"text/plain": "<Figure size 432x288 with 1 Axes>",
|
||
|
|
"image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\r\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\r\n \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\r\n<!-- Created with matplotlib (https://matplotlib.org/) -->\r\n<svg height=\"277.314375pt\" version=\"1.1\" viewBox=\"0 0 395.328125 277.314375\" width=\"395.328125pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\r\n <metadata>\r\n <rdf:RDF xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\r\n <cc:Work>\r\n <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\r\n <dc:date>2021-01-24T13:51:11.101259</dc:date>\r\n <dc:format>image/svg+xml</dc:format>\r\n <dc:creator>\r\n <cc:Agent>\r\n <dc:title>Matplotlib v3.3.3, https://matplotlib.org/</dc:title>\r\n </cc:Agent>\r\n </dc:creator>\r\n </cc:Work>\r\n </rdf:RDF>\r\n </metadata>\r\n <defs>\r\n <style type=\"text/css\">*{stroke-linecap:butt;stroke-linejoin:round;}</style>\r\n </defs>\r\n <g id=\"figure_1\">\r\n <g id=\"patch_1\">\r\n <path d=\"M 0 277.314375 \r\nL 395.328125 277.314375 \r\nL 395.328125 0 \r\nL 0 0 \r\nz\r\n\" style=\"fill:none;\"/>\r\n </g>\r\n <g id=\"axes_1\">\r\n <g id=\"patch_2\">\r\n <path d=\"M 53.328125 239.758125 \r\nL 388.128125 239.758125 \r\nL 388.128125 22.318125 \r\nL 53.328125 22.318125 \r\nz\r\n\" style=\"fill:#ffffff;\"/>\r\n </g>\r\n <g clip-path=\"url(#p28e3cf6984)\">\r\n <image height=\"218\" id=\"image62157d9453\" transform=\"scale(1 -1)translate(0 -218)\" width=\"335\" x=\"53.328125\" xlink:href=\"data:image/png;base64,\r\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||
|
|
},
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||
|
|
"metadata": {
|
||
|
|
"needs_background": "light"
|
||
|
|
}
|
||
|
|
}
|
||
|
|
],
|
||
|
|
"source": [
|
||
|
|
"plt.specgram(data[0: 1 *Fs], Fs=Fs)\n",
|
||
|
|
"plt.xlabel('Seconds')\n",
|
||
|
|
"plt.ylabel('Frequency')\n",
|
||
|
|
"plt.title('Audio Spectrogram')\n",
|
||
|
|
"plt.show()"
|
||
|
|
]
|
||
|
|
},
|
||
|
|
{
|
||
|
|
"cell_type": "code",
|
||
|
|
"execution_count": 6,
|
||
|
|
"metadata": {},
|
||
|
|
"outputs": [
|
||
|
|
{
|
||
|
|
"output_type": "display_data",
|
||
|
|
"data": {
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||
|
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"text/plain": "<Figure size 432x288 with 1 Axes>",
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},
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||
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"metadata": {
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||
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|
"needs_background": "light"
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||
|
|
}
|
||
|
|
}
|
||
|
|
],
|
||
|
|
"source": [
|
||
|
|
"spectrum = np.abs(np.fft.rfft(data)[:int(N/2)]/N)\n",
|
||
|
|
"frequency_x = np.fft.rfftfreq(data.size, d=1/Fs)[:int(N/2)]\n",
|
||
|
|
"\n",
|
||
|
|
"plt.plot(frequency_x, spectrum)\n",
|
||
|
|
"plt.xlabel('Frequency')\n",
|
||
|
|
"plt.ylabel('Amplitude')\n",
|
||
|
|
"plt.title('Audio Spectrum')\n",
|
||
|
|
"plt.show()"
|
||
|
|
]
|
||
|
|
},
|
||
|
|
{
|
||
|
|
"cell_type": "code",
|
||
|
|
"execution_count": 11,
|
||
|
|
"metadata": {},
|
||
|
|
"outputs": [
|
||
|
|
{
|
||
|
|
"output_type": "stream",
|
||
|
|
"name": "stdout",
|
||
|
|
"text": [
|
||
|
|
"x: 89120, cep: 44561\n"
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||
|
|
]
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||
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},
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{
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"output_type": "display_data",
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"data": {
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"text/plain": "<Figure size 432x288 with 1 Axes>",
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"image/png": "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
|
||
|
|
},
|
||
|
|
"metadata": {
|
||
|
|
"needs_background": "light"
|
||
|
|
}
|
||
|
|
}
|
||
|
|
],
|
||
|
|
"source": [
|
||
|
|
"cepstrum = np.fft.rfft(np.log(spectrum))\n",
|
||
|
|
"\n",
|
||
|
|
"plt.plot(frequency_x[:int(len(frequency_x)/2)], cepstrum[:int(len(frequency_x)/2)])\n",
|
||
|
|
"plt.xlabel('Quefrency')\n",
|
||
|
|
"plt.ylabel('Amplitude')\n",
|
||
|
|
"plt.title('Cepstrum')\n",
|
||
|
|
"plt.show()"
|
||
|
|
]
|
||
|
|
},
|
||
|
|
{
|
||
|
|
"cell_type": "code",
|
||
|
|
"execution_count": null,
|
||
|
|
"metadata": {},
|
||
|
|
"outputs": [],
|
||
|
|
"source": []
|
||
|
|
}
|
||
|
|
]
|
||
|
|
}
|