Title :
BIBO stability in 3-D digital filters
Author :
Roytman, Leonid M. ; Potievsky, Vadim F.
Author_Institution :
Dept. of Electr. Eng., City Coll. of the City Univ. of New York, NY, USA
Abstract :
In this brief, we consider the problem of binary input binary output stability of three-dimensional linear shift-invariant filters, in the presence of nonessential singularities of the second kind. We derive necessary and sufficient conditions for l1 and l2 stabilities of a function G=P/Qn, where P and Q are polynomials in the complex variable z.
Keywords :
Z transforms; circuit stability; multidimensional digital filters; polynomials; rational functions; binary input binary output stability; complex variable polynomials; digital filters; nonessential singularities; quarter-plane causal filters; rational Z-transform transfer function; three-dimensional linear shift-invariant filters; Circuits; Cities and towns; Digital filters; Nonlinear filters; Polynomials; Stability analysis; Sufficient conditions; Transfer functions;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
DOI :
10.1109/TCSI.2003.819823
