Stability testing of 2-D recursive digital filters based on a circuit-theoretic approach

Author

Shentov, Ognjan V. ; Mitra, Sanjit K. ; Anderson, Brian D O

Author_Institution

Dept. of Electr. & Comput Eng., California Univ., Santa Barbara, CA, USA

Volume

36

Issue

3

fYear

1989

fDate

3/1/1989 12:00:00 AM

Firstpage

387

Lastpage

392

Abstract

A procedure for checking the stability of 2-D digital filters is proposed. The key part of the test involves construction of related all-pass sections of reduced order, the stability of which is shown to be equivalent to the stability of the original function. This is a direct extension of a similar approach, developed recently (1987) by P.P. Vaidyanathan and S.K. Mitra, in detail for the 1-D case. The results are shown to be equivalent to some known stability testing methods in 2-D, but have the advantage of an additional insight gained from the circuit interpretation. Explicit formulas for checking the stability in terms of the filter coefficients are derived for some special cases, and numerical examples are included to clarify the application of the proposed approach.<>

Keywords

stability; two-dimensional digital filters; 2-D recursive digital filters; all-pass sections; circuit-theoretic approach; filter coefficients; reduced order; Circuit stability; Circuit testing; Circuits and systems; Digital filters; Discrete transforms; Information processing; Polynomials; Stability criteria; Systems engineering and theory; Transfer functions;

fLanguage

English

Journal_Title

Circuits and Systems, IEEE Transactions on

Publisher

ieee

ISSN

0098-4094

Type

jour

DOI

10.1109/31.17585

Filename

17585