RosettaCodeData/Task/Deconvolution-1D/Python/deconvolution-1d-2.py

39 lines
901 B
Python

import numpy
h = [-8,-9,-3,-1,-6,7]
f = [-3,-6,-1,8,-6,3,-1,-9,-9,3,-2,5,2,-2,-7,-1]
g = [24,75,71,-34,3,22,-45,23,245,25,52,25,-67,-96,96,31,55,36,29,-43,-7]
# https://stackoverflow.com/questions/14267555/find-the-smallest-power-of-2-greater-than-n-in-python
def shift_bit_length(x):
return 1<<(x-1).bit_length()
def conv(a, b):
p = len(a)
q = len(b)
n = p + q - 1
r = shift_bit_length(n)
y = numpy.fft.ifft(numpy.fft.fft(a,r) * numpy.fft.fft(b,r),r)
return numpy.trim_zeros(numpy.around(numpy.real(y),decimals=6))
def deconv(a, b):
p = len(a)
q = len(b)
n = p - q + 1
r = shift_bit_length(max(p, q))
y = numpy.fft.ifft(numpy.fft.fft(a,r) / numpy.fft.fft(b,r), r)
return numpy.trim_zeros(numpy.around(numpy.real(y),decimals=6))
# should return g
print(conv(h,f))
# should return h
print(deconv(g,f))
# should return f
print(deconv(g,h))