Stability of two-dimensional discrete systems with periodic coefficients

Author

Bose, Tamal ; Chen, Mei-Qin ; Joo, Kyung Sub ; Xu, Guo-Fang

Author_Institution

Dept. of Electr. Eng., Colorado Univ., Denver, CO, USA

Volume

45

Issue

7

fYear

1998

fDate

7/1/1998 12:00:00 AM

Firstpage

839

Lastpage

847

Abstract

Two-dimensional (2-D) discrete systems with periodic coefficients are considered for stability. These systems are called periodically shift variant (PSV) digital filters and have many applications in signal processing that include the filtering of 2-D signals with cyclostationary noise, scrambling of digital images, and implementation of multirate filter banks. In this paper, the filters are formulated in the form of the well known Fornasini-Marchesini state-space model with periodic coefficients. This PSV model is then studied for stability. Two sufficient conditions and one necessary condition are established for asymptotic stability. Some examples are given to illustrate the results

Keywords

asymptotic stability; circuit stability; discrete systems; state-space methods; two-dimensional digital filters; Fornasini-Marchesini state-space model; asymptotic stability; cyclostationary noise; digital image scrambling; multirate filter bank; periodic coefficients; periodically shift variant digital filter; signal processing; stability; two-dimensional discrete system; Digital filters; Digital images; Digital signal processing; Filter bank; Filtering; Signal processing; Stability; Statistics; Sufficient conditions; Two dimensional displays;

fLanguage

English

Journal_Title

Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1057-7130

Type

jour

DOI

10.1109/82.700930

Filename

700930