Correlation

We performed correlation in which we had to find the autocorrelation and cross correlation.

Correlation is used for checking the similarity between two signals

The following conclusion are drawn on the basis of the experimentation and result analysis

The autocorrelation of a signal attains maximum value at n=0 and this value is equal to the energy of the signal.

The auto correlation of a signal is same as the autocorrelation of the delayed signal, i.e. x[n] o x[n]= x[n-k] o x[n-k].

Cross correlation of a signal with its delayed version (delayed by ‘k’ units) results in an advanced version of the autocorrelation of the signal itself, advanced by ‘k’ units. (i.e x[n] o x[n-k]=y[n+k]).

Cross correlation of a signal with its scaled version (scaled by ‘k’ units) results in a scaled version of the autocorrelation of the signal itself, scaled by ‘k’ units.

(i.e x[n] o (K)*x[n]=(2)*y[n]).