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]