Inverse of xcorr?
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Hi all.
I have a signal that is a cross correlation between to signals:
X=xcorr(A,B)
But in my case I get X and I can compute B... any idea how to make the inverse of the cross correlation so that I get:
A=ixcorr(X,B)
1 Comment
Jonas
on 9 Jul 2021
since convolution and cross correlation are very similar, you may have a look into deconvolution, also something in this thread
Answers (1)
vidyesh
on 12 Apr 2024
Hi Mariano,
Inverse of the cross-correlation can be calculated using the deconv function (as suggested by Jonas). Note that for two real signals 'x' and 'y', cross-correlation of 'x' and 'y' is equal to convolution of 'x' and 'y[-n]' (time reversal of y).
Therefore you can calculate 'x' using the below code.
x = randi([1,10],1,5);
y = randi([1,10],1,6);
R = xcorr(x,y);
x2 = (deconv(R,fliplr(y)));
disp(x)
disp(x2);
Hope this helps.
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