libfir/python/comparison.ipynb

140 lines
112 KiB
Plaintext

{
"metadata": {
"name": "",
"signature": "sha256:46ebd0819e8459e236e33293377fddb82dc24781d6125093a26ed0006b1ede44"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"import pylab, fir"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 95
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"sample_rate = 20 # Hz\n",
"corner_frequency = 1.6 # Hz\n",
"npoints = 51\n",
"nyquist_freq = sample_rate / 2\n",
"\n",
"sinc = np.linspace(npoints / -2, npoints / 2, npoints)\n",
"sinc = np.sinc(sinc * 2 * (corner_frequency / sample_rate))\n",
"plt.plot(sinc)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 96,
"text": [
"[<matplotlib.lines.Line2D at 0x7fa0a36e9860>]"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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gtd+HH87+vsePtw+VuXNtSJv465//tCGcr76a/aQ8c6YN+50xw0anSDB0IlfS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\nu9lz+KKKAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x7fa0a3953828>"
]
}
],
"prompt_number": 96
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def filter_from_points(points):\n",
" return fir.Filter(points / sum(points))\n",
"\n",
"bode_points = 997\n",
"respfunc = pylab.vectorize(lambda fi, freq: fi.response(freq/sample_rate))\n",
"freq = pylab.logspace(-1, pylab.log10(nyquist_freq), bode_points)\n",
"\n",
"fi_list = { }\n",
"fi_list[\"rectangle\"] = filter_from_points(sinc)\n",
"fi_list[\"blackman\"] = filter_from_points(sinc * np.blackman(len(sinc)))\n",
"fi_list[\"hamming\"] = filter_from_points(sinc * np.hamming(len(sinc)))\n",
"fi_list[\"hann\"] = filter_from_points(sinc * np.hanning(len(sinc)))\n",
"fi_list[\"kaiser_8\"] = filter_from_points(sinc * np.kaiser(len(sinc), 8))\n",
"fi_list[\"kaiser_10\"] = filter_from_points(sinc * np.kaiser(len(sinc), 10))"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 93
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig, axes = plt.subplots(figsize=(10,6), dpi=100)\n",
"axes.set_xlabel('Frequency (Hz)')\n",
"\n",
"for name, fi in fi_list.items():\n",
" resp = respfunc(fi, freq)\n",
" axes.plot(freq, 20 * np.log10(np.abs(resp)), label=name)\n",
" \n",
"axes.legend()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 94,
"text": [
"<matplotlib.legend.Legend at 0x7fa0a37a6c88>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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I8iXy5GTmhIu5Cyfunsi9Urly6K9cR7UPowi4M53o6OOMc3dDO8eJg06JfB7h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\ntFVSFW5ecDM27tsYdP33Ld9DJpbhlOmnRBQXAE6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AtZvgelzVDcXeZoKDL/lq17cjLyGP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PIFSimUAi2l0BZKS0tbKGW3lLD3KBDKCAEyyI7jxHYc770tW/sk3f3+OHnIlmyH0X7h5+fjkUeS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\n",
"text": [
"<matplotlib.figure.Figure at 0x7fa0a37a6da0>"
]
}
],
"prompt_number": 94
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 86
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}