Stability of two-dimensional discrete systems with periodic coefficients

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

doi:10.1109/82.700930

Stability of two-dimensional discrete systems with periodic coefficients

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

Electrical and Computer Engineering

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

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.

Original language	English (US)
Pages (from-to)	839-847
Number of pages	9
Journal	IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing
Volume	45
Issue number	7
DOIs	https://doi.org/10.1109/82.700930
State	Published - 1998

ASJC Scopus subject areas

Signal Processing
Electrical and Electronic Engineering

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10.1109/82.700930

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title = "Stability of two-dimensional discrete systems with periodic coefficients",

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.",

author = "Tamal Bose and Chen, {Mei Qin} and Joo, {Kyung Sub} and Xu, {Guo Fang}",

note = "Funding Information: Manuscript received October 24, 1996; revised October 6, 1997. The work of T. Bose, K. S. Joo, and G.-F. Xu was supported in part by a grant from the Colorado Advanced Software Institute. The work of M.-Q. Chen was supported in part by a grant from the Citadel Development Foundation. This paper was recommended by Associate Editor B. A. Shenoi.",

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T1 - Stability of two-dimensional discrete systems with periodic coefficients

AU - Bose, Tamal

AU - Chen, Mei Qin

AU - Joo, Kyung Sub

AU - Xu, Guo Fang

N1 - Funding Information: Manuscript received October 24, 1996; revised October 6, 1997. The work of T. Bose, K. S. Joo, and G.-F. Xu was supported in part by a grant from the Colorado Advanced Software Institute. The work of M.-Q. Chen was supported in part by a grant from the Citadel Development Foundation. This paper was recommended by Associate Editor B. A. Shenoi.

PY - 1998

Y1 - 1998

N2 - 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.

AB - 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.

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Stability of two-dimensional discrete systems with periodic coefficients

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