Stability of 2-D periodically shift variant digital filters

Author

Bose, Taniul ; Chen, Mei-Qiri ; Joo, Kyung Sub ; Xu, Guo-Fang

Author_Institution

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

Volume

4

fYear

1997

fDate

9-12 Jun 1997

Firstpage

2449

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 (FM) 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

Keywords

asymptotic stability; filtering theory; matrix algebra; state-space methods; two-dimensional digital filters; 2D digital filters; Fornasini Marchesini state-space model; asymptotic stability; cyclostationary noise; digital image scrambling; filter stability; multirate filter banks; periodic coefficients; periodically shift variant filters; signal processing; two-dimensional discrete systems; Asymptotic stability; Digital filters; Digital images; Digital signal processing; Filter bank; Signal processing; Stability analysis; State-space methods; Sufficient conditions; Two dimensional displays;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1997. ISCAS '97., Proceedings of 1997 IEEE International Symposium on

Print_ISBN

0-7803-3583-X

Type

conf

DOI

10.1109/ISCAS.1997.612819

Filename

612819