On the Equivalence and Factorization of Multivariate Polynomial Matrices

Zhiping Lin, M. S. Boudellioua, Li Xu

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

6 Citations (Scopus)

Abstract

An important concept in multidimensional (nD) systems and signal processing is that of equivalence of systems, which is closely related to equivalence of multivariate (nD) polynomial matrices. By exploiting recent results on nD polynomial matrix factorizations, this paper presents several new results on the reduction by equivalence of a given nD polynomial matrix to a simpler form. In particular, the new results work for both 2D and nD (n > 2) cases. The paper also discusses equivalence of nD polynomial matrices that are not of normal full-rank, which have received little attention in the past.

Original languageEnglish
Title of host publicationProceedings - IEEE International Symposium on Circuits and Systems
Pages4911-4914
Number of pages4
Publication statusPublished - 2006
EventISCAS 2006: 2006 IEEE International Symposium on Circuits and Systems - Kos, Greece
Duration: May 21 2006May 24 2006

Other

OtherISCAS 2006: 2006 IEEE International Symposium on Circuits and Systems
CountryGreece
CityKos
Period5/21/065/24/06

Fingerprint

Factorization
Polynomials
Signal processing

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Electrical and Electronic Engineering

Cite this

Lin, Z., Boudellioua, M. S., & Xu, L. (2006). On the Equivalence and Factorization of Multivariate Polynomial Matrices. In Proceedings - IEEE International Symposium on Circuits and Systems (pp. 4911-4914). [1693732]

On the Equivalence and Factorization of Multivariate Polynomial Matrices. / Lin, Zhiping; Boudellioua, M. S.; Xu, Li.

Proceedings - IEEE International Symposium on Circuits and Systems. 2006. p. 4911-4914 1693732.

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

Lin, Z, Boudellioua, MS & Xu, L 2006, On the Equivalence and Factorization of Multivariate Polynomial Matrices. in Proceedings - IEEE International Symposium on Circuits and Systems., 1693732, pp. 4911-4914, ISCAS 2006: 2006 IEEE International Symposium on Circuits and Systems, Kos, Greece, 5/21/06.
Lin Z, Boudellioua MS, Xu L. On the Equivalence and Factorization of Multivariate Polynomial Matrices. In Proceedings - IEEE International Symposium on Circuits and Systems. 2006. p. 4911-4914. 1693732
Lin, Zhiping ; Boudellioua, M. S. ; Xu, Li. / On the Equivalence and Factorization of Multivariate Polynomial Matrices. Proceedings - IEEE International Symposium on Circuits and Systems. 2006. pp. 4911-4914
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