L<inf>2</inf>-l<inf>∞</inf> suppression of limit cycles in interfered two-dimensional digital filters: A Fornasini-Marchesini model case

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Abstract

Recently, Ahn proposed an l<inf>2</inf>-l<inf>∞</inf> stability criterion for interfered two-dimensional (2-D) digital filters described by the Roesser model. However, until now, no criteria for interfered 2-D digital filters in the Fornasini-Marchesini (FM) model have been studied. As a continuation of the results, this brief proposes a new criterion for the l<inf>2</inf>-l<inf>∞</inf> suppression of limit cycles in interfered 2-D digital filters in the FM model. The proposed criterion ensures the asymptotic stability and l<inf>2</inf>-l<inf>∞</inf> performance of 2-D digital filters. The effectiveness of the proposed criterion is demonstrated using numerical examples. The work in this brief and that of the Roesser model provide, as an integrity, systematic results on limit cycle suppression for 2-D digital filters in the l<inf>2</inf>-l<inf>∞</inf> sense.

Original languageEnglish
Article number6848802
Pages (from-to)614-618
Number of pages5
JournalIEEE Transactions on Circuits and Systems II: Express Briefs
Volume61
Issue number8
DOIs
Publication statusPublished - 2014 Aug 1

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Digital filters
Stability criteria
Asymptotic stability

Keywords

  • Finite-word-length effect
  • Fornasini-Marchesini (FM) model
  • l<inf>2</inf> - l<inf>∞</inf> suppression
  • linear matrix inequality (LMI)
  • two-dimensional (2-D) digital filter

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

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title = "L2-l∞ suppression of limit cycles in interfered two-dimensional digital filters: A Fornasini-Marchesini model case",
abstract = "Recently, Ahn proposed an l2-l∞ stability criterion for interfered two-dimensional (2-D) digital filters described by the Roesser model. However, until now, no criteria for interfered 2-D digital filters in the Fornasini-Marchesini (FM) model have been studied. As a continuation of the results, this brief proposes a new criterion for the l2-l∞ suppression of limit cycles in interfered 2-D digital filters in the FM model. The proposed criterion ensures the asymptotic stability and l2-l∞ performance of 2-D digital filters. The effectiveness of the proposed criterion is demonstrated using numerical examples. The work in this brief and that of the Roesser model provide, as an integrity, systematic results on limit cycle suppression for 2-D digital filters in the l2-l∞ sense.",
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