Evolutionary Synthesis of Digital Filter Structures Using Genetic Programming

Kazuyoshi Uesaka, Masayuki Kawamata

Research output: Contribution to journalArticlepeer-review

27 Citations (Scopus)


This paper presents a synthesis method for infinite-impulse response (IIR) digital filter structures using genetic programming with automatically defined functions (GP-ADF). In the proposed method, digital filter structures are represented as S-expressions with subroutines, which are written directly from the set of difference equations. This paper also shows the condition for the constructing the S-expressions that represent the filter structures without delay-free loops. Numerical examples synthesize two-filter structures: the low-coefficient sensitivity fourth-order filter structure and the low-output roundoff noise second-order filter structure.

Original languageEnglish
Pages (from-to)977-983
Number of pages7
JournalIEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing
Issue number12
Publication statusPublished - 2003 Dec
Externally publishedYes


  • Digital filter wordlength effects
  • Genetic programming
  • Infinite-impulse response (TIR) digital filters

ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering


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