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Functions of banded Hermitian block Toeplitz matrices in signal processing by Jesús Gutiérrez-Gutiérrez; Pedro M. Crespo; Albrecht Böttcher is a Mathematics article available to read on EtoBox.

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The paper deals with the entries of functions of large banded Hermitian block Toeplitz matrices and their perturbations. For general continuous functions, convergence results are established, and for analytic functions, these results are accompanied by estimates of the convergence speed. The applications to signal processing include, among others, the direct derivation of a closed form solution of the minimum mean square error (MMSE) for a double-sided infinite-length linear equalizer for MIMO channels from the finitelength MMSE expression and the derivation of a formula for the contribution of each channel input to the overall MMSE.

Who reads Functions of banded Hermitian block Toeplitz matrices in signal processing?

Author

Jesús Gutiérrez-Gutiérrez; Pedro M. Crespo; Albrecht Böttcher

Publisher

Elsevier Science; Elsevier ; Elsevier BV (ISSN 0024-3795)

Published

2007

Language

EN

Field

Mathematics (Physical Sciences)