Stability of the 2-D Givone-Roesser model with periodic coefficients

Tamal Bose, Mei Qin Chen, Ratchaneekorn Thamvichai

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)566-578
Number of pages13
JournalIEEE Transactions on Circuits and Systems I: Regular Papers
Volume54
Issue number3
DOIs
StatePublished - Mar 1 2007
Externally publishedYes

Keywords

  • 2-D Givone-Roesser model
  • 2-D periodically shift varying filters
  • Stability

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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