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