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Row-shift corrected truncation of paraunitary matrices for PEVD algorithms

Corr, Jamie, Thompson, Keith, Weiss, Stephen, Proudler, Ian K. and McWhirter, John 2015. Row-shift corrected truncation of paraunitary matrices for PEVD algorithms. Presented at: 23rd European Signal Processing Conference (EUSIPCO), Nice, France, 31 August - 4 September 2015. 2015 23rd European Signal Processing Conference (EUSIPCO). IEEE, pp. 849-853. 10.1109/EUSIPCO.2015.7362503

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In this paper, we show that the paraunitary (PU) matrices that arise from the polynomial eigenvalue decomposition (PEVD) of a parahermitian matrix are not unique. In particular, arbitrary shifts (delays) of polynomials in one row of a PU matrix yield another PU matrix that admits the same PEVD. To keep the order of such a PU matrix as low as possible, we propose a row-shift correction. Using the example of an iterative PEVD algorithm with previously proposed truncation of the PU matrix, we demonstrate that a considerable shortening of the PU order can be accomplished when using row-corrected truncation.

Item Type: Conference or Workshop Item (Paper)
Date Type: Published Online
Status: Published
Schools: Engineering
Subjects: T Technology > TA Engineering (General). Civil engineering (General)
Publisher: IEEE
ISBN: 978-0-9928-6263-3
ISSN: 2076-1465
Funders: EPSRC
Date of First Compliant Deposit: 21 April 2016
Date of Acceptance: 31 August 2015
Last Modified: 04 Jun 2017 09:02

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