Row-shift corrected truncation of paraunitary matrices for PEVD algorithms

Corr, Jamie and Thompson, Keith and Weiss, Stephan and Proudler, Ian K. and McWhirter, John G.; (2015) Row-shift corrected truncation of paraunitary matrices for PEVD algorithms. In: 23rd European Signal Processing Conference. IEEE, pp. 849-853. ISBN 978-0-9928626-3-3

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    Abstract

    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 pro- pose 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.

    Creators(s): Corr, Jamie ORCID logoORCID: https://orcid.org/0000-0001-9900-0796, Thompson, Keith ORCID logoORCID: https://orcid.org/0000-0003-0727-7347, Weiss, Stephan ORCID logoORCID: https://orcid.org/0000-0002-3486-7206, Proudler, Ian K. and McWhirter, John G.;
    Item type:Book Section
    ID code:53742
    Keywords:paraunitary matrices , row-shift correction, polynomial eigenvalue decomposition, Electrical engineering. Electronics Nuclear engineering, Electrical and Electronic Engineering
    Subjects:Technology > Electrical engineering. Electronics Nuclear engineering
    Department:Faculty of Engineering > Electronic and Electrical Engineering
    Depositing user: Pure Administrator
    Date deposited:14 Jul 2015 08:32
    Last modified:29 Nov 2020 03:07
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/53742
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