Order-controlled multiple shift SBR2 algorithm for para-hermitian polynomial matrices

Wang, Zeliang, McWhirter, John ORCID: https://orcid.org/0000-0003-1810-3318, Corr, Jamie and Weiss, Stephan 2016. Order-controlled multiple shift SBR2 algorithm for para-hermitian polynomial matrices. Presented at: The Ninth IEEE Sensor Array and Multichannel Signal Processing Workshop, Rio de Janeiro, Brazil, 10-13 July 2016. 2016 IEEE Sensor Array and Multichannel Signal Processing Workshop (SAM). IEEE, 10.1109/SAM.2016.7569742

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Abstract

In this work we present a new method of controlling the order growth of polynomial matrices in the multiple shift second order sequential best rotation (MS-SBR2) algorithm which has been recently proposed by the authors for calculating the polynomial matrix eigenvalue decomposition (PEVD) for para-Hermitian matrices. In effect, the proposed method introduces a new elementary delay strategy which keeps all the row (column) shifts in the same direction throughout each iteration, which therefore gives us the flexibility to control the polynomial order growth by selecting shifts that ensure non-zero coefficients are kept closer to the zero-lag plane. Simulation results confirm that further order reductions of polynomial matrices can be achieved by using this direction-fixed delay strategy for the MS-SBR2 algorithm.

Item Type:	Conference or Workshop Item (Poster)
Date Type:	Publication
Status:	Published
Schools:	Engineering
Subjects:	T Technology > TK Electrical engineering. Electronics Nuclear engineering
Uncontrolled Keywords:	Sensor array processing, space-time covariance matrix, polynomial EVD, polynomial order
Publisher:	IEEE
ISBN:	978-1-5090-2103-1
ISSN:	2151-870X
Date of First Compliant Deposit:	29 July 2016
Last Modified:	01 Nov 2022 10:54
URI:	https://orca.cardiff.ac.uk/id/eprint/93197

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