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 | Proceedings - IEEE International Symposium on Circuits and Systems |
| Pages | 4911-4914 |
| Number of pages | 4 |
| Publication status | Published - 2006 |
| Event | ISCAS 2006: 2006 IEEE International Symposium on Circuits and Systems - Kos, Greece Duration: May 21 2006 → May 24 2006 |
Other
| Other | ISCAS 2006: 2006 IEEE International Symposium on Circuits and Systems |
|---|---|
| Country | Greece |
| City | Kos |
| Period | 5/21/06 → 5/24/06 |
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ASJC Scopus subject areas
- Electronic, Optical and Magnetic Materials
- Electrical and Electronic Engineering
Cite this
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 proceeding › Conference contribution
}
TY - GEN
T1 - On the Equivalence and Factorization of Multivariate Polynomial Matrices
AU - Lin, Zhiping
AU - Boudellioua, M. S.
AU - Xu, Li
PY - 2006
Y1 - 2006
N2 - 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.
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.
UR - http://www.scopus.com/inward/record.url?scp=34547261029&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=34547261029&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:34547261029
SN - 0780393902
SN - 9780780393905
SP - 4911
EP - 4914
BT - Proceedings - IEEE International Symposium on Circuits and Systems
ER -