Stability of the 2D Fornasini-Marchesini model with periodic coefficients

Author

Bose, Tamal ; Thamvichai, R. ; Radenkovic, M.

Author_Institution

Dept. of Electr. & Comput. Eng., Utah State Univ., Logan, UT, USA

Volume

3

fYear

2001

fDate

2001

Firstpage

1925

Abstract

The stability of two-dimensional (2D) periodically shift varying (PSV) filters is considered. These filters have applications in filtering video signals with cyclostationary noise, image and video scrambling, and design of multiplierless filters. The considered system is represented in state space by the first model of Fornasini-Marchesini with periodic coefficients. The stability of this model is then studied. Two necessary conditions and two sufficient conditions are established for asymptotic stability. The conditions are easy to use and computationally simple

Keywords

asymptotic stability; filtering theory; two-dimensional digital filters; video signal processing; 2D Fornasini-Marchesini model; 2D periodically shift varying filters; asymptotic stability; cyclostationary noise; filter stability; image scrambling; multiplierless filter design; periodic coefficients; state space; video scrambling; video signal filtering; Equations; Filter bank; Filtering; Integrated circuit modeling; Power engineering and energy; Signal design; Stability analysis; State-space methods; Sufficient conditions; Two dimensional displays;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 2001. Proceedings. (ICASSP '01). 2001 IEEE International Conference on

Conference_Location

Salt Lake City, UT

ISSN

1520-6149

Print_ISBN

0-7803-7041-4

Type

conf

DOI

10.1109/ICASSP.2001.941322

Filename

941322