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Autocorrelation

Purpose
Description
Example
Macro Synopsis
Modules
Related Functions
References


Purpose

Autocorrelation

Description

Autocorrelation computes the autocorrelation function

of a signal. The autocorrelation function gives information about the self-similarity of a signal occurring at certain lags.

Internally, a frequency-domain algorithm based on a Fast Fourier Transform is used for calculating the discrete autocorrelation.

Warning: Note that y(0) is suppressed in order to avoid its large values dominating the result.


Example

The autocorrelation function of a white noise signal will yield a large peak at =0 and nearly 0 elsewhere indicating (nearly) no self-similarity for .


Macro Synopsis

y = AutoCorr(x);
signal x,y;

Modules

Student, Professional

Related Functions

Cross correlation, Partial autocorrelation.

References

Oppenheim/Schafer [3], Conover [11], Graybill [12], Hollander/Wolfe [13]