Functions of banded Hermitian block Toeplitz matrices in signal processing
✍ Scribed by Jesús Gutiérrez-Gutiérrez; Pedro M. Crespo; Albrecht Böttcher
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 266 KB
- Volume
- 422
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
✦ Synopsis
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.