Z Transform and Correlation I.

Cuthbert Nyack
The Cross Correlation of 2 sequences x1(n) and x2(n) is given by the equation below. One of the applications of correlation is for the detection of signals in the presence of noise. If x1 = x2 then the result is the autocorrelation.
Correlation is illustrated by the applet below. x1(n) is set by the first 24 scrollbars labelled in red and x2(n) is set by the next 12 scrollbars labelled in cyan. The correlation of the sequences is in green.

The image below show a sequence of pulses in noise being correlated with an ideal pulse shape.

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COPYRIGHT 2008 Cuthbert Nyack.