DocumentCode :
1084640
Title :
Stability test for two-dimensional recursive filters
Author :
Anderson, Brian D O ; Jury, Eliaipu I.
Author_Institution :
University of Newcastle, Newcastle, NSW, Australia
Volume :
21
Issue :
4
fYear :
1973
fDate :
8/1/1973 12:00:00 AM
Firstpage :
366
Lastpage :
372
Abstract :
For deciding the stability of a two-dimensional filter, it is of interest to determine whether or not a prescribed polynomial in the variables z1 and z2 is nonzero in the region 
. A new procedure for testing for this property is given, which does not involve the use of bilinear tranformations. Key parts of the test involve the construction of a Schur-Cohn matrix and the checking for positivity on the unit circle of a set of self-inversive polynomials.
. A new procedure for testing for this property is given, which does not involve the use of bilinear tranformations. Key parts of the test involve the construction of a Schur-Cohn matrix and the checking for positivity on the unit circle of a set of self-inversive polynomials.Keywords :
Circuit theory; Digital filters; Finite impulse response filter; Gold; Impulse testing; Linear programming; Nonlinear filters; Polynomials; Sampling methods; Stability;
fLanguage :
English
Journal_Title :
Audio and Electroacoustics, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9278
Type :
jour
DOI :
10.1109/TAU.1973.1162491
Filename :
1162491
Link To Document :
