A simple circuit-theoretical approach for the stability testing of 2-D digital filters

Author

Shentov, O. ; Mitra, S.K. ; Anderson, B.D.O.

Author_Institution

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

fYear

1988

fDate

11-14 Apr 1988

Firstpage

852

Abstract

A new procedure for checking the stability of 2-D digital filters is proposed. The key part of the test involves construction of related allpass sections of reduced order, stability of which is shown to be equivalent to the stability of the original function. 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

filtering and prediction theory; stability; two-dimensional digital filters; 2-D digital filters; circuit interpretation; circuit-theoretical approach; filter coefficients; stability testing; Circuit stability; Circuit testing; Digital filters; Discrete time systems; Discrete transforms; Polynomials; Systems engineering and theory; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1988. ICASSP-88., 1988 International Conference on

Conference_Location

New York, NY

ISSN

1520-6149

Type

conf

DOI

10.1109/ICASSP.1988.196720

Filename

196720