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@yuzeh
Created May 15, 2019 06:16
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Waves and Spectra
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{
"cells": [
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import scipy.signal as spsig\n",
"import matplotlib.pyplot as plt\n",
"import sounddevice as sd\n",
"\n",
"\n",
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [],
"source": [
"freq = 440\n",
"sample_rate = 44100\n",
"sample_time = 1"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [],
"source": [
"bins = np.linspace(0, sample_time, sample_time * sample_rate)"
]
},
{
"cell_type": "code",
"execution_count": 66,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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1u7J4fs0urh/cgYlDtdZWsPE0MbQ1xhwEcP1b6ekIIjIEqAvsdlv8hGuI6XkR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\nRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1220c0450>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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gHuAXgSuBm83syoli3wFuBT6Z2rZyujKEEGJe5MsudzVwyt0fBzCz+4AbgZMb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\nAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x12250df50>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"saw = spsig.sawtooth(2 * np.pi * freq * bins)\n",
"wave = saw\n",
"\n",
"plt.plot(bins[:200], wave[:200])\n",
"plt.figure()\n",
"f, t, Zxx = spsig.stft(wave, sample_rate, nperseg=1000)\n",
"plt.pcolormesh(t, f[1:], np.abs(Zxx[1:,:]), vmin=0, vmax=0.5)\n",
"plt.yscale('log')\n",
"plt.colorbar()\n",
"sd.play(wave, sample_rate)"
]
},
{
"cell_type": "code",
"execution_count": 67,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x122251990>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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weWSb3RNihCuNcujnpsv657aVQz+2kmwo9Z9X/ZA2tnIsnXZtLSWEEOWhraWE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\nwvj/xdatBi5rL3UAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x12088bb50>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"square = spsig.square(2 * np.pi * freq * bins)\n",
"wave = square\n",
"\n",
"plt.plot(bins[:200], wave[:200])\n",
"plt.figure()\n",
"f, t, Zxx = spsig.stft(wave, sample_rate, nperseg=1000)\n",
"plt.pcolormesh(t, f[1:], np.abs(Zxx[1:,:]), vmin=0, vmax=0.5)\n",
"plt.yscale('log')\n",
"plt.colorbar()\n",
"sd.play(wave, sample_rate)"
]
},
{
"cell_type": "code",
"execution_count": 68,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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oHueyABhjnjLGFBpjCtPT028q0G99ZCE/+uQtN7VsKHqvzqDXM4zbvoom5k9N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\nxrJoWhJbTtRaHcoNnbx0lZq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8CKg3xhzyNDi7CPTEUANMH/J6GnB5rHlEJAJIwtU0Mtay\n41mnHfliXwQqn+wLEYnElRR+YYx5xSeR+4ZPPxvGmFbgXWCjN4P2EV/si1uB+0XkPK6mqfUi8nNf\nBO83Vhc5PHkAEUAlrkLQYCFp/oh5vsjwQtKL7ufzGV5IqsRVmLrhOu348MW+GLJcNoFVfPbF50KA\nnwHft/rvs8n+SAeS3fNMAnYBH7L6b7ViX4xYdh1BUHy2PAAv/Effi6uHSAXwt+5p3wDudz+PAX6F\nq1B0AMgdsuzfupcrBTZdb52B8PDRvngOqAX6cB0xfdbqv9OKfQHchqs54Thw1P241+q/08L9sQg4\n4t4fJ4GvWf03WrUvRqw7KBKDXvmslFJqmECvMSillPIyTQxKKaWG0cSglFJqGE0MSimlhtHEoJRS\nahhNDEoppYbRxKCUUmoYTQxKKaWG+f+sXi+bdGUaIAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11f852350>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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KG+VX1WHg8IrX7hr7+nFGJY7OTMyS2jaLJ42Uj5aSpPb4aClJaky7ednELGmY0vDGaSZm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\nAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x12390b510>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sine = np.sin(2 * np.pi * freq * bins)\n",
"wave = sine\n",
"\n",
"plt.plot(bins[:200], wave[:200])\n",
"plt.figure()\n",
"f, t, Zxx = spsig.stft(wave, sample_rate, nperseg=1000)\n",
"plt.pcolormesh(t, f[1:], np.abs(Zxx[1:,:]), vmin=0, vmax=0.5)\n",
"plt.yscale('log')\n",
"plt.colorbar()\n",
"sd.play(wave, sample_rate)"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.13"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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