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Statistically periodic processes and toeplitz(α by β) matrices |
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| Authors: | William H Pierce |
| Institution: | (1) Department of Electrical Engineering, University of Louisville, Louisville, Kentucky |
| Abstract: | If each element in a Toeplitz matrix is replaced by an  by matrix and the original constraints preserved, the result is a doubly infinite matrix with periodic structure called a toeplitz( by) matrix. Such matrices are a basic tool for describing, generating, estimating, filtering, synchronizing, and analyzing information-theoretic functions for statistically periodic processes. |
| Keywords: | Statistical periodicity periodic processes periodic linear transformations random processes estimation theory Toeplitz matrices infinite matrices matrixZ-transforms matrix-generating functions communications theory information theory periodic difference equations pulse amplitude modulation synchronization orthogonal functions |
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