Row-shift corrected truncation of paraunitary matrices for PEVD algorithms

Jamie Corr, Keith Thompson, Stephan Weiss, Ian K. Proudler, John G. McWhirter

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

34 Citations (Scopus)
91 Downloads (Pure)


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.

Original languageEnglish
Title of host publication23rd European Signal Processing Conference
Number of pages5
ISBN (Print)978-0-9928626-3-3
Publication statusPublished - 2015


  • paraunitary matrices
  • row-shift correction
  • polynomial eigenvalue decomposition


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