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Signals and Systems by Smarajit Ghosh

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1.17 CORRELATION

Correlation which is very much similar to convolution provides information about the similarity between the two sequences. It is used in Radars, digital communication and mobile communication etc. The main application of correlation is that the incoming/received signal is correlated with the standard signals and a signal of this set which has maximum correlation with the incoming/received signal is only detected.

1.17.1 Cross-Correlation and Auto-Correlation

There are two types of correlation such as auto-correlation and cross-correlation. When the correlation of two different sequences is performed, it is known as cross-correlation whereas auto-correlation is the correlation of two same sequences.

If the sequences be x(n) and ...

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