DocumentCode :
1195771
Title :
BIBO stability in the presence of nonessential singularities of the second kind in 2-D digital filters
Author :
Roytman, Leonid M. ; Swamy, M.N.S. ; Eichman, George
Volume :
34
Issue :
1
fYear :
1987
fDate :
1/1/1987 12:00:00 AM
Firstpage :
60
Lastpage :
72
Abstract :
In this paper, the open problem regarding the BIBO stability of two-dimensional linear shift invariant filters, in the presence of nonessential singularities of the second kind, is considered. Necessary and sufficient conditions for boundedness, and 
and 
stabilities of a function ![G(z_1, z_2)= P(z_1, z_2)/[Q(z_1, z_2)]^n](/images/tex/9935.gif)
, where 
has simple nonessential singularities of the second kind on 
, are obtained. These conditions are expressed in a very simple way in terms of the multiplicity of the zeros of certain resultants of two-variable polynomials. Many illustrative examples are also given.
and stabilities of a function , where has simple nonessential singularities of the second kind on , are obtained. These conditions are expressed in a very simple way in terms of the multiplicity of the zeros of certain resultants of two-variable polynomials. Many illustrative examples are also given.Keywords :
Multidimensional digital filters; Multidimensional system theory; Recursive digital filter stability; Cities and towns; Councils; Digital filters; Helium; Nonlinear filters; Polynomials; Stability; Sufficient conditions; Testing; Transfer functions;
fLanguage :
English
Journal_Title :
Circuits and Systems, IEEE Transactions on
Publisher :
ieee
ISSN :
0098-4094
Type :
jour
DOI :
10.1109/TCS.1987.1086037
Filename :
1086037
Link To Document :
