On the Equivalence and Factorization of Multivariate Polynomial Matrices

Zhiping Lin; M. S. Boudellioua; Li Xu

On the Equivalence and Factorization of Multivariate Polynomial Matrices

Zhiping Lin^*, M. S. Boudellioua, Li Xu

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

12 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 language	English
Title of host publication	ISCAS 2006
Subtitle of host publication	2006 IEEE International Symposium on Circuits and Systems, Proceedings
Pages	4911-4914
Number of pages	4
Publication status	Published - 2006
Externally published	Yes
Event	ISCAS 2006: 2006 IEEE International Symposium on Circuits and Systems - Kos, Greece Duration: May 21 2006 → May 24 2006

Publication series

Name	Proceedings - IEEE International Symposium on Circuits and Systems
ISSN (Print)	0271-4310

Other

Other	ISCAS 2006: 2006 IEEE International Symposium on Circuits and Systems
Country/Territory	Greece
City	Kos
Period	5/21/06 → 5/24/06

ASJC Scopus subject areas

Electrical and Electronic Engineering

Cite this

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

ISCAS 2006: 2006 IEEE International Symposium on Circuits and Systems, Proceedings. 2006. p. 4911-4914 1693732 (Proceedings - IEEE International Symposium on Circuits and Systems).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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

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AB - 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.

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On the Equivalence and Factorization of Multivariate Polynomial Matrices

Abstract

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