DocumentCode :
811834
Title :
Stability criterion for 
-dimensional digital filters
-dimensional digital filtersAuthor :
Justice, J.H. ; Shanks, J.L.
Author_Institution :
University of Tulsa, Tulsa, OK, USA
Volume :
18
Issue :
3
fYear :
1973
fDate :
6/1/1973 12:00:00 AM
Firstpage :
284
Lastpage :
286
Abstract :
The stability requirement for one-dimensional recursive filters is well known. A stability theorem for 
-dimensional recursive filters is proved wherein the denominator of the filter is an -dimensional power series. A Tauberian theorem due to Wiener yields the desired result in the general case.
-dimensional recursive filters is proved wherein the denominator of the filter is an -dimensional power series. A Tauberian theorem due to Wiener yields the desired result in the general case.Keywords :
Multidimensional digital filters; Recursive digital filter stability; Convolution; Digital filters; Stability criteria; Sufficient conditions;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1973.1100290
Filename :
1100290
Link To Document :
