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.