Cross-correlation of two complex signals using sliding dot product

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Wesam AlAmiri
Wesam AlAmiri 2023-1-26
评论： Wesam AlAmiri 2023-1-26
Is there anyone has done cross-correlation between two complex signals (uneqal lengths) using sliding dot product without zero padding?
I am stuck on my code and I don't get correct resuts. So, if someone has done that, could you please share your code?
I don't want to use the built-in xcorr function since it does zero padding.

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Matt J
Matt J 2023-1-26
编辑：Matt J 2023-1-26
Ran in:
If there is to be no zero-padding, what should happen when the shorter signal slides to the edge of the longer signal? Does the sliding simply stop at that point?. If so, just use convolution with the 'valid' flag,
x=rand(1,10); y=rand(1,3);
result = conv(x,flip(y),'valid')
result = 1×8
0.0594 0.7935 0.3238 0.0481 0.3591 0.7380 0.5230 0.3385
Checking the result against explicit dot products:
dot(y,x(1:3)) %the first dot product
ans = 0.0594
dot(y, x(8:10)) %the last dot product
ans = 0.3385
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Matt J
Matt J 2023-1-26
编辑：Matt J 2023-1-26
Ran in:
For complex signals, you need to do
result=conv(x,conj(flip(x)))
Failing that, I would need you to attach your x in a .mat file to try to reproduce what you done. Below, I get a very clear peak with my own randomly generated x. Also, you have already seen a direct quantitative comparison between conv and inner product calculations, so you know conv should correctly compute what you asked for.
x=normalize(rand(1,1000),2,'n');
plot(conv(x,flip(x)))

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