Title
Row-shift corrected truncation of paraunitary matrices for PEVD algorithms
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 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.
Year
Venue
Field
2015
European Signal Processing Conference
Approximation algorithm,Signal processing,Truncation,Discrete mathematics,Polynomial matrix,Polynomial,Matrix (mathematics),Matrix decomposition,Algorithm,Eigendecomposition of a matrix,Mathematics
DocType
ISSN
Citations 
Conference
2076-1465
5
PageRank 
References 
Authors
0.55
8
5
Name
Order
Citations
PageRank
Jamie Corr1112.78
Keith Thompson273.31
Weiss, Stephan320933.25
Ian K. Proudler46312.78
John G. McWhirter521428.77