Autocorrelation matrix

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The autocorrelation matrix is used in various digital signal processing algorithms. It consists of elements of the discrete autocorrelation function, arranged in the following manner:

This is a Hermitian matrix and a Toeplitz matrix. If is wide-sense stationary then its autocorrelation matrix will be positive definite.

The autocovariance matrix is related to the autocorrelation matrix as follows:

Where is a vector giving the mean of signal at each index of time.