A new realization criterion for 2-D digital filters in the Fornasini-Marchesini second model with interference

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12 Citations (Scopus)

Abstract

Stability criteria have been proposed previously by Ahn for two-dimensional (2-D) digital filters described by the Roesser model with external interference. However, no stability criteria have yet been established for 2-D digital filters described by the Fornasini-Marchesini second model. In this paper, we propose a new realization criterion for 2-D digital filters in the Fornasini-Marchesini second model with saturation arithmetic and external interference. This new criterion guarantees that 2-D digital filters in this model are asymptotically stable with a guaranteed H∞ performance. The criterion is described by linear matrix inequalities (LMIs). Illustrative examples show the effectiveness of the proposed new criterion.

Original languageEnglish
Pages (from-to)225-231
Number of pages7
JournalSignal Processing
Volume104
DOIs
Publication statusPublished - 2014 Nov

Keywords

  • 2-D digital filters
  • Finite wordlength effects
  • Fornasini-Marchesini second model
  • Linear matrix inequality (LMI)

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Software
  • Signal Processing
  • Computer Vision and Pattern Recognition
  • Electrical and Electronic Engineering

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