Generalized eigenvector problem for Hermitian Toeplitz matrices and its application to beamforming

Zhang, L., Liu, W. and Peng, B. (2012) Generalized eigenvector problem for Hermitian Toeplitz matrices and its application to beamforming. Signal Processing, 92(2), pp. 374-380. (doi:10.1016/j.sigpro.2011.08.002)

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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:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Zhang, Dr Lei
Authors: Zhang, L., Liu, W., and Peng, B.
College/School:College of Science and Engineering > School of Engineering
Journal Name:Signal Processing
Publisher:Elsevier
ISSN:0165-1684
ISSN (Online):1872-7557
Published Online:10 August 2011

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