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Published May 2011 | Version public
Journal Article Metadata-only

Generating New Commuting Coprime Matrix Pairs From Known Pairs

Creators

  • 1. ROR icon California Institute of Technology

Abstract

Commuting coprime integer matrices arise in signal processing in a number of contexts. This paper develops two ways, one nonlinear and the other linear, to generate new commuting coprime pairs from known pairs. The first method is based on computing powers of the initial pair of matrices, and the secondmethod is based on appropriate types of linear combinations of the initial pair of matrices. This enriches the already known families of coprime matrices reported in recent literature. Several properties of the newly generated coprime pairs are also addressed.

Additional Information

© 2011 IEEE. Manuscript received December 21, 2010; revised February 28, 2011; accepted March 01, 2011. Date of publication March 07, 2011; date of current version March 17, 2011. This work was supported in part by the Office of Naval Research under Grant N00014-08-1-0709, and by the California Institute of Technology. The associate editor coordinating the review of this manuscript and approving it for publication was Dr. Yuriy V. Zakharov. The elegant proof of property 5 in Lemma 4 was suggested by an anonymous reviewer, and is considerably simpler than the proof in our original submission.

Additional details

Identifiers

Eprint ID
23241
DOI
10.1109/LSP.2011.2123887
Resolver ID
CaltechAUTHORS:20110405-110827968

Related works

Describes
10.1109/LSP.2011.2123887 (DOI)

Funding

Office of Naval Research (ONR)
N00014-08-1-0709
Caltech

Dates

Created
2011-04-10
Created from EPrint's datestamp field
Updated
2021-11-09
Created from EPrint's last_modified field

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Other Numbering System Identifier
11872960