Two-dimensional digital filters described by Roesser model with interference attenuation

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30 Citations (Scopus)


To the present time, stability criteria have been proposed for one-dimensional digital filters with external interference, but no stability criterion exists for cases where two-dimensional digital filters have external interference. In this paper, we propose a new criterion for the elimination of overflow oscillations in two-dimensional digital filters described by Roesser model with saturation arithmetic and external interference. This criterion ensures asymptotic stability with a guaranteed H∞ performance. The proposed criterion is represented in terms of linear matrix inequality (LMI); thus, it is computationally efficient. Illustrative examples are given to demonstrate the effectiveness of the proposed criterion.

Original languageEnglish
Pages (from-to)1296-1302
Number of pages7
JournalDigital Signal Processing: A Review Journal
Issue number4
Publication statusPublished - 2013 Jul


  • Finite wordlength effects
  • Linear matrix inequality (LMI)
  • Two-dimensional digital filters

ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering


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