Title :
Stability and margin of stability tests for multidimensional filters
Author :
Curtin, Eugene ; Saba, Salim
Author_Institution :
Dept. of Math., Southwest Texas State Univ., San Marcos, TX, USA
fDate :
7/1/1999 12:00:00 AM
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 can then be solved using Buchberger´s algorithm for computing the Groebner basis of a polynomial ideal
Keywords :
circuit stability; multidimensional digital filters; multiplying circuits; recursive filters; stability criteria; Buchberger´s algorithm; Groebner basis; Lagrange multipliers; Zeheb-Walach criteria; multidimensional filters; n-dimensional recursive digital filters; polynomial equations; polynomial ideal; stability; stability tests; Application software; Digital filters; Equations; Lagrangian functions; Mathematics; Multidimensional systems; Polynomials; Signal processing algorithms; Stability criteria; Testing;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
