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