Title : 
Necessary conditions for the stability of N-D digital filters with nonessential singularities of the second kind
         
        
            Author : 
Roytman, Leonid M. ; Potievski, Vadim F. ; Swamy, M.N.S.
         
        
            Author_Institution : 
Dept. of Electr. Eng., City Univ. of New York, NY, USA
         
        
        
        
        
            fDate : 
10/1/1999 12:00:00 AM
         
        
        
        
            Abstract : 
In this brief we consider the open problem concerning the BIBO stability of N-D digital filters with nonessential singularities of the second kind in the region U¯N-UN. We apply transformations to reduce the transfer function to the two-dimensional (2-D) case. Illustrative examples are included
         
        
            Keywords : 
circuit stability; multidimensional digital filters; transfer functions; BIBO stability; N-dimensional digital filter; nonessential singularity; transfer function; Circuit stability; Cities and towns; Councils; Digital filters; Polynomials; Stability analysis; Stability criteria; Sufficient conditions; Transfer functions; Two dimensional displays;
         
        
        
            Journal_Title : 
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on