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Smooth an input signal
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#!python3 | |
import numpy as np | |
from typing import Union | |
def smooth(inputSignal:Union[list, np.ndarray], windowLength:int= 11, window:str= 'flat') -> np.ndarray: | |
""" | |
Smooth the data using a window with requested size. | |
This method is based on the convolution of a scaled window with the signal. | |
The signal is prepared by introducing reflected copies of the signal | |
(with the window size) in both ends so that transient parts are minimized | |
in the begining and end part of the output signal. | |
input: | |
inputSignal: the input signal | |
windowLength: the dimension of the smoothing window; should be an odd integer | |
window: the type of window from 'flat', 'hanning', 'hamming', 'bartlett', 'blackman' | |
flat window will produce a moving average smoothing. | |
output: | |
the smoothed signal | |
example: | |
t = linspace(-2,2,0.1) | |
inputSignal = sin(t)+randn(len(t))*0.1 | |
y = smooth(inputSignal) | |
see also: | |
numpy.hanning, numpy.hamming, numpy.bartlett, numpy.blackman, numpy.convolve | |
scipy.signal.lfilter | |
# Adapted from https://scipy-cookbook.readthedocs.io/items/SignalSmooth.html | |
# with only minor changes | |
""" | |
#cSpell:ignore hanning, lfilter | |
assert inputSignal.ndim == 1, "smooth only accepts 1 dimension arrays." | |
assert isinstance(windowLength, int), "windowLength must be an integer" | |
assert inputSignal.size > windowLength, "Input vector needs to be bigger than window size." | |
if windowLength < 3: | |
return inputSignal | |
s = np.r_[inputSignal[windowLength - 1:0:-1], inputSignal, inputSignal[-2:-windowLength - 1:-1]] | |
if window == 'flat': | |
#moving average | |
wl = np.ones(windowLength,'d') | |
else: | |
if window is "hanning": | |
wl = np.hanning(windowLength) | |
elif window is "hamming": | |
wl = np.hamming(windowLength) | |
elif window is "bartlett": | |
wl = np.bartlett(windowLength) | |
elif window is "blackman": | |
wl = np.blackman(windowLength) | |
else: | |
raise ValueError("Window must be one of 'flat', 'hanning', 'hamming', 'bartlett', 'blackman'") | |
# Do the convolution | |
y = np.convolve(wl / wl.sum(), s, mode= 'valid') | |
return y[windowLength // 2 - 1:-windowLength // 2] |
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