Created
May 2, 2017 01:25
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Evolution of Fourier coefficients with gliding window
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{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"import numpy as np\n", | |
"import matplotlib.pyplot as plt" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"%matplotlib inline" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 97, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"FZERO = 441*44\n", | |
"FUN = 441*45\n", | |
"SIZE = 1000\n", | |
"SAMPLERATE = 44100" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 98, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"w0, w1 = (2*np.pi*f/SAMPLERATE for f in (FZERO, FUN))" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 99, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"def sine(w, len):\n", | |
" return np.sin(np.arange(len) * w)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 100, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"def fourier(data, w):\n", | |
" eiw = complex(np.cos(w), np.sin(w))\n", | |
" f = 0\n", | |
" for s in data:\n", | |
" f = eiw*f + s\n", | |
"\n", | |
" return f" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 101, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"def next_fourier(f, sample_in, sample_out, w, n):\n", | |
" eiw = complex(np.cos(w), np.sin(w))\n", | |
" eiwn = complex(np.cos(w*n), np.sin(w*n))\n", | |
" return eiw*(f - eiwn*sample_out) + sample_in" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 102, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"data = np.concatenate([sine(w, SIZE) for w in (w0, w1, w0, w1)])" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 103, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"[<matplotlib.lines.Line2D at 0x7f45adc8f128>]" | |
] | |
}, | |
"execution_count": 103, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
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P9/6nvfff7L3/ZgD/FcAfk583wm/e+5efLT1DCtea0H7vrhfrdy2q3/30fvzr998u6vVv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\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7f45adba14e0>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"plt.plot(data[:200])" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 104, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"F0 = np.array([fourier(data[i:SIZE+i], w0) for i in range(3*SIZE)])\n", | |
"F1 = np.array([fourier(data[i:SIZE+i], w1) for i in range(3*SIZE)])" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 105, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"[<matplotlib.lines.Line2D at 0x7f45adc952b0>]" | |
] | |
}, | |
"execution_count": 105, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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Khv/wGs3y/9igd1/FPkmfhNVmpbvfyf7I9U/Ix7o9I5rqeOFoQxe9/YN8Y/EEp6bHNksb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\nfo5u6HV0dHT8nP8P2rw9xSWQuT4AAAAASUVORK5CYII=\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7f45adbbfd68>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"plt.plot(abs(F0))\n", | |
"plt.plot(abs(F1))\n", | |
"plt.plot(abs(abs(F0)-abs(F1)))" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 113, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"[<matplotlib.lines.Line2D at 0x7f45ac748f98>]" | |
] | |
}, | |
"execution_count": 113, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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1o/tK5OgRgVKWtGmmRwTKHbQQRNC/r+5nO4JykbSkRnwzaTjZD55hO4rrvOmc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\ngg==\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7f45ac6580b8>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"plt.plot(np.real(F0))" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 114, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"[<matplotlib.lines.Line2D at 0x7f45ac55a780>]" | |
] | |
}, | |
"execution_count": 114, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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dx/VObFiTv/VNtx3D8zx9bCUuvX902l1n2Y6gLBvSUWfKqohJfz/DdgRf8HQh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\nC4FSSvmcFgKllPK5/w92w4/+bsHhkAAAAABJRU5ErkJggg==\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7f45ac5db0b8>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"plt.plot(np.imag(F0))" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [] | |
} | |
], | |
"metadata": { | |
"kernelspec": { | |
"display_name": "Python 3", | |
"language": "python", | |
"name": "python3" | |
}, | |
"language_info": { | |
"codemirror_mode": { | |
"name": "ipython", | |
"version": 3 | |
}, | |
"file_extension": ".py", | |
"mimetype": "text/x-python", | |
"name": "python", | |
"nbconvert_exporter": "python", | |
"pygments_lexer": "ipython3", | |
"version": "3.6.0" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 2 | |
} |
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