GA-based design of 2D state-space digital filters with linear phase characteristics

Sang Churl Nam, Masahide Abe, Masayuki Kawamata

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


This paper proposes a GA-based design method for two-dimensional (2D) state-space digital filters which satisfy simultaneously the magnitude response and constant group delays. The design problem of 2D state-space digital filters is formulated subject to the constraint that the resultant filters are stable. To apply the genetic algorithm to the design problem, all coefficients of 2D state-space digital filters are encoded into the Gray code representation demonstrating the superior performance to the standard binary one. In addition, a stability test routine is embedded in the design procedure in order to ensure the stability for the resultant filters. A numerical example is given to demonstrate the effectiveness of the proposed method.

Original languageEnglish
Pages (from-to)287-303
Number of pages17
JournalJournal of Circuits, Systems and Computers
Issue number2
Publication statusPublished - 2007 Apr 1


  • 2D digital filters
  • Constant group delay
  • Genetic algorithm
  • Roesser's local state-space model

ASJC Scopus subject areas

  • Hardware and Architecture
  • Electrical and Electronic Engineering


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