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simple fractional delay in Python
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{ | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"### adapting code from https://www.dsprelated.com/showarticle/1327.php" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"%matplotlib inline" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"def mkfig(w=12, h=4, nrow=1, ncol=1, dpi=100, style='seaborn', **kwargs):\n", | |
" import matplotlib.pyplot as plt\n", | |
" plt.style.use(style)\n", | |
" return plt.subplots(\n", | |
" nrow, ncol, figsize=(w, h), dpi=dpi, \n", | |
" facecolor='lightgray', edgecolor='k', **kwargs)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"# frac_delay_fir.m 1/29/20 Neil Robertson\n", | |
"# Fractional delay FIR filter. Passband range is f= 0 to fs/2.\n", | |
"#\n", | |
"# ntaps = number of taps of FIR filter. ntaps can be odd or even.\n", | |
"# u = fractional delay in samples. u can be positive or negative.\n", | |
"# b = FIR coefficients\n", | |
"#\n", | |
"import numpy as np\n", | |
"import scipy.signal as sig\n", | |
"def frac_delay_fir(ntaps, u):\n", | |
" eps = np.finfo(np.float32).eps\n", | |
" if (u % 1) == 0:\n", | |
" u = u + eps; # eps= 2.2e-16 prevent divide by zero\n", | |
"\n", | |
" N = ntaps - 1\n", | |
" n = np.arange(-N//2, N//2 + 1)\n", | |
" sinc = np.sin(np.pi * (n-u)) / (np.pi * (n-u)) # truncated impulse response\n", | |
" win = sig.chebwin(ntaps, 70) # window function\n", | |
" b = sinc * win # apply window function\n", | |
" return b" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 35, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"fs = 100\n", | |
"ntaps = 31\n", | |
"def amp2db(x):\n", | |
" return 20*np.log10(np.abs(x))" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 42, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"frac_00 = frac_delay_fir(ntaps, 0.00)\n", | |
"frac_50 = frac_delay_fir(ntaps, 0.50)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 49, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
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\n", 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"<Figure size 1000x300 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"fig, ax = mkfig(10, 3, 1)\n", | |
"\n", | |
"ax.plot(frac_00, 'C0o-', alpha=0.5, label='frac_00')\n", | |
"ax.plot(frac_50, 'C1o-', alpha=0.5, label='frac_50')\n", | |
"\n", | |
"ax.set_ylabel('amp [float]')\n", | |
"ax.set_xlabel('sample index')\n", | |
"ax.legend()\n", | |
"\n", | |
"fig.tight_layout()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 43, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 1000x500 with 3 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"fig, ax = mkfig(10, 5, 3)\n", | |
"\n", | |
"w, h = sig.freqz(frac_00, fs=fs)\n", | |
"wgd, gd = sig.group_delay((frac_00, 1), w=w, fs=fs)\n", | |
"ax[0].plot(w, amp2db(h), label='frac_00')\n", | |
"ax[1].plot(w, np.unwrap(np.angle(h)), label='frac_00')\n", | |
"ax[2].plot(wgd, gd, label='frac_00')\n", | |
"\n", | |
"w, h = sig.freqz(frac_50, fs=fs)\n", | |
"wgd, gd = sig.group_delay((frac_50, 1), w=w, fs=fs)\n", | |
"ax[0].plot(w, amp2db(h), label='frac_50')\n", | |
"ax[1].plot(w, np.unwrap(np.angle(h)), label='frac_50')\n", | |
"ax[2].plot(wgd, gd, label='frac_50')\n", | |
"\n", | |
"for _ax in ax:\n", | |
" _ax.legend()\n", | |
"ax[2].set_ylim(ntaps//2 - 0.25, ntaps//2 + 1.25)\n", | |
"\n", | |
"ax[0].set_ylabel('amp [dB]')\n", | |
"ax[1].set_ylabel('phase [deg]')\n", | |
"ax[2].set_ylabel('delay [samp]')\n", | |
"ax[2].set_xlabel('freq [Hz]')\n", | |
" \n", | |
"fig.tight_layout()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 38, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"array([-5.96931388e-11, 1.54467047e-10, -3.47141971e-10, 6.83952815e-10,\n", | |
" -1.23133732e-09, 2.07327409e-09, -3.31491823e-09, 5.09022517e-09,\n", | |
" -7.57889302e-09, 1.10447163e-08, -1.59260512e-08, 2.30692950e-08,\n", | |
" -3.44370142e-08, 5.59467244e-08, -1.17341553e-07, 1.00000000e+00,\n", | |
" 1.17341581e-07, -5.59467311e-08, 3.44370170e-08, -2.30692964e-08,\n", | |
" 1.59260521e-08, -1.10447168e-08, 7.57889331e-09, -5.09022535e-09,\n", | |
" 3.31491834e-09, -2.07327415e-09, 1.23133736e-09, -6.83952834e-10,\n", | |
" 3.47141981e-10, -1.54467051e-10, 5.96931403e-11])" | |
] | |
}, | |
"execution_count": 38, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"frac_00" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 39, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"array([-1.54249587e-04, 3.98231773e-04, -8.92599713e-04, 1.75322399e-03,\n", | |
" -3.14493680e-03, 5.27238912e-03, -8.38555398e-03, 1.27922840e-02,\n", | |
" -1.88878528e-02, 2.72227815e-02, -3.86594314e-02, 5.47547551e-02,\n", | |
" -7.88167905e-02, 1.19510126e-01, -2.08881825e-01, 6.36619772e-01,\n", | |
" 6.26645474e-01, -1.99183544e-01, 1.10343507e-01, -7.03989708e-02,\n", | |
" 4.72504162e-02, -3.21723781e-02, 2.17936763e-02, -1.44979218e-02,\n", | |
" 9.37208974e-03, -5.82737745e-03, 3.44445459e-03, -1.90567825e-03,\n", | |
" 9.64007690e-04, -4.27730423e-04, 1.64887490e-04])" | |
] | |
}, | |
"execution_count": 39, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"frac_50" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"metadata": {}, | |
"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": "3.6.8" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 4 | |
} |
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