The generalized eigenvector problem for Hermitian Toeplitz matrices and its application to beamforming

Zhang, L, Liu, W and Peng, B (2012) The generalized eigenvector problem for Hermitian Toeplitz matrices and its application to beamforming Signal Processing, 92 (2). pp. 374-380.

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Abstract

The generalized eigenvector problem (GEP) for Hermitian Toeplitz matrices is studied and some properties related to its eigenvectors and the associated eigenfilters are derived. Zero locations of the eigenfilters are also investigated and all of the results are applied to the maximum SINR (signal-to-interference-plus-noise ratio) beamforming problem based on ULAs (uniform linear arrays), since maximizing output SINR can be formulated as a generalized eigenvector problem where the matrix pair consisting of the desired signal correlation matrix and interference plus noise correlation matrix. Theoretical analysis based on a three-element ULA is provided, supported by simulations.

Item Type:	Article
Subjects :	Electronic Engineering
Divisions :	Surrey research (other units)
Authors :	Name Email ORCID Zhang, L lei.zhang@surrey.ac.uk Liu, W Peng, B
Date :	February 2012
DOI :	10.1016/j.sigpro.2011.08.002
Copyright Disclaimer :	© 2011 Elsevie rB.V. All rights reserved.
Uncontrolled Keywords :	Uniform linear array, Beamforming, Generalized eigenvector problem, Hermitian Toeplitz matrix, Centrohermitian matrix
Depositing User :	Symplectic Elements
Date Deposited :	17 May 2017 13:58
Last Modified :	25 Jan 2020 00:35
URI:	http://epubs.surrey.ac.uk/id/eprint/841006

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