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August 16, 2015 08:43
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{ | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"# scipy.signal.decimate accepting `zero_phase`" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 157, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"from scipy.signal import firwin, lfilter, filtfilt, cheby1, lti\n", | |
"import numpy as np\n", | |
"import matplotlib.pyplot as plt\n", | |
"%matplotlib inline" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"### Use b,a internally" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 158, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"def decimate(x, q, n=None, ftype='iir', axis=-1, zero_phase=False):\n", | |
" \"\"\"\n", | |
" Downsample the signal by using a filter.\n", | |
"\n", | |
" By default, an order 8 Chebyshev type I filter is used. A 30 point FIR\n", | |
" filter with hamming window is used if `ftype` is 'fir'.\n", | |
"\n", | |
" Parameters\n", | |
" ----------\n", | |
" x : ndarray\n", | |
" The signal to be downsampled, as an N-dimensional array.\n", | |
" q : int\n", | |
" The downsampling factor.\n", | |
" n : int, optional\n", | |
" The order of the filter (1 less than the length for 'fir').\n", | |
" ftype : str {'iir', 'fir'}, optional\n", | |
" The type of the lowpass filter.\n", | |
" axis : int, optional\n", | |
" The axis along which to decimate.\n", | |
" zero_phase : bool\n", | |
" Prevent phase shift by filtering with ``filtfilt`` instead of ``lfilter``.\n", | |
" Returns\n", | |
" -------\n", | |
" y : ndarray\n", | |
" The down-sampled signal.\n", | |
"\n", | |
" See also\n", | |
" --------\n", | |
" resample\n", | |
" \n", | |
" Notes\n", | |
" -----\n", | |
" The ``zero_phase`` keyword was added in 0.17.0.\n", | |
" The possibility to use instances of ``lti`` as ``ftype`` was added in 0.17.0.\n", | |
"\n", | |
" \"\"\"\n", | |
" \n", | |
" if not isinstance(q, int):\n", | |
" raise TypeError(\"q must be an integer\")\n", | |
"\n", | |
" if ftype == 'fir':\n", | |
" if n is None:\n", | |
" n = 30\n", | |
" b = firwin(n + 1, 1. / q, window='hamming')\n", | |
" a = 1.\n", | |
" \n", | |
" elif ftype == 'iir':\n", | |
" if n is None:\n", | |
" n = 8\n", | |
" b, a = cheby1(n, 0.05, 0.8 / q)\n", | |
" else:\n", | |
" b = ftype.num\n", | |
" a = ftype.den\n", | |
"\n", | |
" if zero_phase: \n", | |
" y = filtfilt(b, a, x, axis=axis)\n", | |
" else:\n", | |
" y = lfilter(b, a, x, axis=axis)\n", | |
"\n", | |
" sl = [slice(None)] * y.ndim\n", | |
" sl[axis] = slice(None, None, q)\n", | |
" return y[sl]" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"### Use lti internally" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 159, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"def decimate(x, q, n=None, ftype='iir', axis=-1, zero_phase=False):\n", | |
" \"\"\"\n", | |
" Downsample the signal by using a filter.\n", | |
"\n", | |
" By default, an order 8 Chebyshev type I filter is used. A 30 point FIR\n", | |
" filter with hamming window is used if `ftype` is 'fir'.\n", | |
"\n", | |
" Parameters\n", | |
" ----------\n", | |
" x : ndarray\n", | |
" The signal to be downsampled, as an N-dimensional array.\n", | |
" q : int\n", | |
" The downsampling factor.\n", | |
" n : int, optional\n", | |
" The order of the filter (1 less than the length for 'fir').\n", | |
" ftype : str {'iir', 'fir'}, optional\n", | |
" The type of the lowpass filter.\n", | |
" axis : int, optional\n", | |
" The axis along which to decimate.\n", | |
" zero_phase : bool\n", | |
" Prevent phase shift by filtering with ``filtfilt`` instead of ``lfilter``.\n", | |
" Returns\n", | |
" -------\n", | |
" y : ndarray\n", | |
" The down-sampled signal.\n", | |
"\n", | |
" See also\n", | |
" --------\n", | |
" resample\n", | |
" \n", | |
" Notes\n", | |
" -----\n", | |
" The ``zero_phase`` keyword was added in 0.17.0.\n", | |
" The possibility to use instances of ``lti`` as ``ftype`` was added in 0.17.0.\n", | |
"\n", | |
" \"\"\"\n", | |
" \n", | |
" if not isinstance(q, int):\n", | |
" raise TypeError(\"q must be an integer\")\n", | |
"\n", | |
" if ftype == 'fir':\n", | |
" if n is None:\n", | |
" n = 30\n", | |
" system = lti(firwin(n + 1, 1. / q, window='hamming'), 1.)\n", | |
" \n", | |
" elif ftype == 'iir':\n", | |
" if n is None:\n", | |
" n = 8\n", | |
" system = lti(*cheby1(n, 0.05, 0.8 / q))\n", | |
" else:\n", | |
" system = ftype\n", | |
"\n", | |
" if zero_phase: \n", | |
" y = filtfilt(system.num, system.den, x, axis=axis)\n", | |
" else:\n", | |
" y = lfilter(system.num, system.den, x, axis=axis)\n", | |
"\n", | |
" sl = [slice(None)] * y.ndim\n", | |
" sl[axis] = slice(None, None, q)\n", | |
" return y[sl]" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 160, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [], | |
"source": [ | |
"duration = 0.02\n", | |
"fs = 44100.\n", | |
"samples = int(duration*fs)\n", | |
"\n", | |
"times = np.arange(samples)/fs\n", | |
"signal = np.sin(2.0*np.pi*100.0*times)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 161, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [], | |
"source": [ | |
"factor = 10\n", | |
"order = None\n", | |
"decimate_lfilter = decimate(signal, q=factor, n=order)\n", | |
"decimate_filtfilt = decimate(signal, q=factor, n=order, zero_phase=True)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 163, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.legend.Legend at 0x7fa0704f17b8>" | |
] | |
}, | |
"execution_count": 163, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
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jZ17Tc7VeF2rYxOdsHKag/eyBqwfo+EtHw+e1O3fA05Pr7h2osf9PfH1RNK+dunqKtvPb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\nAAAAAElFTkSuQmCC\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7fa07056fcf8>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"fig = plt.figure()\n", | |
"ax = fig.add_subplot(111)\n", | |
"ax.plot(times, signal, label='input')\n", | |
"ax.plot(times[::factor], decimate_lfilter, label='lfilter')\n", | |
"ax.plot(times[::factor], decimate_filtfilt, label='filtfilt')\n", | |
"ax.legend()" | |
] | |
} | |
], | |
"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": "3.4.3" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 0 | |
} |
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