Citation
E. Curtin et S. Saba, Stability and margin of stability tests for multidimensional filters, IEEE CIRC-I, 46(7), 1999, pp. 806-809
Citations number
11
Categorie Soggetti
Eletrical & Eletronics Engineeing
Journal title
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS
ISSN journal
10577122
→ ACNP
Volume
46
Issue
7
Year of publication
1999
Pages
806 - 809
Database
ISI
SICI code
1057-7122(199907)46:7<806:SAMOST>2.0.ZU;2-O
Abstract
In this paper we give simplified proofs of the stability and the margin of
stability criteria of Zeheb and Walach for n-dimensional recursive digital
filters. We base our proofs on the method of Lagrange multipliers, Both the
stability and margin of stability questions are converted into the problem
of locating the zeros of a system of polynomial equations. These systems c
an then be solved using Buchberger's algorithm for computing the Groebner b
asis of a polynomial ideal.