def smooth(x,window_len=11,window='flat'):
"""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 beginning and end part of the output signal.
:param x: the input signal
:param window_len: the dimension of the smoothing window; should be an odd integer
:param window: the type of window from 'flat', 'hanning', 'hamming', 'bartlett', 'blackman'
flat window will produce a moving average smoothing.
:return: the smoothed signal
example::
t=linspace(-2,2,0.1)
x=sin(t)+randn(len(t))*0.1
y=smooth(x)
:see also: numpy.hanning, numpy.hamming, numpy.bartlett, numpy.blackman, numpy.convolve,
scipy.signal.lfilter
TODO: the window parameter could be the window itself if an array instead of a string
"""
if x.ndim != 1:
raise ValueError("smooth only accepts 1 dimension arrays.")
if x.size < window_len:
raise ValueError("Input vector needs to be bigger than window size.")
if window_len < 3:
return x
if not window in ['flat', 'hanning', 'hamming', 'bartlett', 'blackman']:
raise ValueError("Window is on of 'flat', 'hanning', 'hamming', 'bartlett', 'blackman'")
s=numpy.r_[2*x[0]-x[window_len:1:-1],x,2*x[-1]-x[-1:-window_len:-1]]
#print(len(s))
if window == 'flat': #moving average
w = numpy.ones(window_len,'d')
else:
w = eval('numpy.' + window + '(window_len)')
y = numpy.convolve(w/w.sum(), s, mode='same')
return y[window_len-1:-window_len+1]
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