Using nonessential singularities of the second kind in two-dimensional filter design

Author

Bruton, L.T. ; Bartley, N.R.

Author_Institution

Dept. of Electr. Eng., Calgary Univ., Alta., Canada

Volume

36

Issue

1

fYear

1989

Firstpage

113

Lastpage

116

Abstract

It is shown that nonessential singularities of the second kind are not necessarily obstacles to the design of well-behaved (practical bounded-input/bounded-output (BIBO) stable) two-dimensional (2-D) discrete recursive filter transfer functions. For some widely utilized classes of filters, such as fan filters, it is shown that the existence of a nonessential singularity of the second kind on the unit bidisc is in fact required and, further, such filters, although BIBO unstable, can be designed to be practical-BIBO stable and well-behaved in practical applications.<>

Keywords

filtering and prediction theory; stability; transfer functions; two-dimensional digital filters; 2D digital filters; BIBO unstable; bounded-input/bounded-output; discrete recursive filter transfer functions; fan filters; nonessential singularities; practical-BIBO stable; second kind; two-dimensional filter design; Circuit stability; Circuits and systems; Difference equations; Filters; Frequency; Robust stability; Sufficient conditions; Transfer functions; Two dimensional displays;

fLanguage

English

Journal_Title

Circuits and Systems, IEEE Transactions on

Publisher

ieee

ISSN

0098-4094

Type

jour

DOI

10.1109/31.16572

Filename

16572