Help needed in application of convolution

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sreejajayesh

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I have a one dimensional signal. I have another smaller one dimensional signal which is a part of the first signal. I want to locate its position. In a journal I read that we can use convolution for that. Can anyone throw some light on it?
 

You can locate the position looking at the correlation function between the two signals.
The correlation has a maximum where the signals are "aligned".
Its value (normalized by the standard deviations) has an absolute value <= 1. Values close to 1 correspond to high similarity.
There is a correspondence between correlation and convolution; roughly speaking:

correl(x[n],y[n],m) = k*convol(x[n],y[-n],m)

so you can use convolution as well.
Regards

Z
 

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