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Deconvolution/1D: Difference between revisions
Python example based on R example
Alextretyak (talk | contribs) (Added 11l) |
(Python example based on R example) |
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assert convolve(f,h) == g
assert deconvolve(g, f) == h</lang>
Based on the R version.
<lang 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))
</lang>
Output
<pre>
[ 24. 75. 71. -34. 3. 22. -45. 23. 245. 25. 52. 25. -67. -96.
96. 31. 55. 36. 29. -43. -7.]
[-8. -9. -3. -1. -6. 7.]
[-3. -6. -1. 8. -6. 3. -1. -9. -9. 3. -2. 5. 2. -2. -7. -1.]
</pre>
=={{header|R}}==
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