Stability of the 2-D Givone–Roesser Model With Periodic Coefficients

Author

Bose, Tamal ; Chen, Mei-Qin ; Thamvichai, Ratchaneekorn

Author_Institution

Electr. & Comput. Eng., Utah State Univ., Logan, UT

Volume

54

Issue

3

fYear

2007

fDate

3/1/2007 12:00:00 AM

Firstpage

566

Lastpage

578

Abstract

The stability of two-dimensional (2-D) periodically shift varying (PSV) filters formulated as the Givone-Roesser (GR) model is studied. The applications of these filters include processing video signals with cyclostationary noise, image and video scrambling, and design of multiplierless filters. The GR model is embedded into the second model of Fornasini-Marchesisni and the stability of this embedded model is then studied. Several sufficient conditions and one necessary condition are derived for stability. These conditions are compared for their relative computational complexities and their restrictions. Based on the computational complexities of implementing these conditions, an algorithm is proposed to determine the stability of a given 2-D PSV system. Several examples are given to illustrate the results

Keywords

computational complexity; stability; time-varying filters; 2D Givone-Roesser model; 2D periodically shift varying filters; Fornasini-Marchesisni model; computational complexities; cyclostationary noise; image scrambling; periodic coefficients; video scrambling; video signal processing; Clouds; Computational complexity; Filter bank; Image analysis; Multidimensional systems; Signal design; Signal processing; Stability analysis; Sufficient conditions; Two dimensional displays; 2-D Givone–Roesser model; 2-D periodically shift varying filters; stability;

fLanguage

English

Journal_Title

Circuits and Systems I: Regular Papers, IEEE Transactions on

Publisher

ieee

ISSN

1549-8328

Type

jour

DOI

10.1109/TCSI.2006.888666

Filename

4126786