Stability of 2-D periodically shift variant filters

Ratchaneekorn Thamvichai; Tamal Bose

doi:10.1109/82.996060

Stability of 2-D periodically shift variant filters

Ratchaneekorn Thamvichai, Tamal Bose

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

12 Scopus citations

Abstract

The stability of two-dimensional (2-D) periodically shift varying (PSV) filters is considered. The considered system is represented in state space by the first model of Fornasini-Marchesini (FM) 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.

Original language	English (US)
Pages (from-to)	61-64
Number of pages	4
Journal	IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing
Volume	49
Issue number	1
DOIs	https://doi.org/10.1109/82.996060
State	Published - Jan 2002
Externally published	Yes

ASJC Scopus subject areas

Signal Processing
Electrical and Electronic Engineering

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10.1109/82.996060

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abstract = "The stability of two-dimensional (2-D) periodically shift varying (PSV) filters is considered. The considered system is represented in state space by the first model of Fornasini-Marchesini (FM) 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.",

author = "Ratchaneekorn Thamvichai and Tamal Bose",

note = "Funding Information: Manuscript received October 23, 2000; revised January 24, 2002. This work was supported in part by the National Aeronautics and Space Administration under Grant NAG5-3997 and Grant NAG5-10716. This paper was recommended by Associate Editor A. Skodras. R. Thamvichai is with Electrical and Computer Engineering Department, University of Colorado, Boulder, CO 80309 USA. T. Bose is with Electrical and Computer Engineering Department, Utah State University, Logan, UT 84322-4120 USA (e-mail: tbose@ece.usu.edu). Publisher Item Identifier S 1057-7130(02)03376-1.",

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Stability of 2-D periodically shift variant filters

Abstract

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