Novel Results on Generalized Dissipativity of Two-Dimensional Digital Filters

Choon Ki Ahn, Peng Shi, Hamid Reza Karimi

Research output: Contribution to journalArticle

29 Citations (Scopus)

Abstract

Existing results on the generalized dissipativity of digital filters are limited to 1-D cases. This brief presents some novel results on the generalized dissipativity of 2-D filters in the discrete Fornasini-Marchesini second (FMS) form. More specifically, we propose a criterion to ascertain that single 2-D filters in the discrete FMS form are 2-D generalized dissipative. Using this result, a condition is established such that the interconnected 2-D filters in the discrete FMS form are 2-D generalized dissipative. Furthermore, the asymptotic stability of unforced interconnected 2-D filters is examined. It is shown that the results developed in our recent work for 1-D filters and in this brief for 2-D filters serve as an overall framework for the generalized dissipativity of digital filters.

Original languageEnglish
Article number7419904
Pages (from-to)893-897
Number of pages5
JournalIEEE Transactions on Circuits and Systems II: Express Briefs
Volume63
Issue number9
DOIs
Publication statusPublished - 2016 Sep 1

Keywords

  • 2-D filter
  • Fornasini-Marchesini second (FMS) form
  • generalized dissipativity
  • interconnected filter

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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