Optimal design of IIR filters via the partial fraction decomposition method

He Qi, Zhi Guo Feng, Ka Fai Cedric Yiu, Sven Nordholm

Research output: Journal article publicationJournal articleAcademic researchpeer-review

2 Citations (Scopus)


In this brief, we consider the minimax design of infinite impulse response (IIR) filter. First, we apply the partial fraction method to decompose the transfer function into a sum of low order fractions, as a result the minimax IIR filter design problem can be formulated with the stability condition as constraints. Second, among different possible decompositions of the transfer function, we prove that the second order decomposition can always achieve good approximation to the optimal solution. Based on the second order decomposition formulation, several numerical experiments have been conducted, and better IIR filters can be designed using the proposed method compared with existing methods in the literature.

Original languageEnglish
Article number8525264
Pages (from-to)1461-1465
Number of pages5
JournalIEEE Transactions on Circuits and Systems II: Express Briefs
Issue number8
Publication statusPublished - 1 Aug 2019


  • IIR digital filter
  • minimax design
  • partial fraction decomposition

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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