import numpy

def smooth(x,window_len=5,window=’hanning’):

“””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:

x: the input signal

window_len: 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)

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

NOTE: length(output) != length(input), to correct this: return y[(window_len/2-1):-(window_len/2)] instead of just y.

“””

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/2.0-int(window_len/2.0))==0:

raise ValueError, “Window length is not a odd number.”

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'”

print(window_len)

s=numpy.r_[x[window_len-1:0:-1],x,x[-1:-window_len:-1]]

xDim_temp = x.shape

xDim = xDim_temp[0]

#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=’valid’)

yret = numpy.zeros(xDim)

for i in range(0,xDim):

yret[i] = y[i+(window_len-1)/2]

return yret

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