DocumentCode
811834
Title
Stability criterion for
-dimensional digital filters
Author
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