Closed form solutions to L2-sensitivity minimization of second-order state-space digital filters with real poles

Shunsuke Yamaki, Masahide Abe, Masayuki Kawamata

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

This letter proposes closed form solutions to the L2- sensitivity minimization of second-order state-space digital filters with real poles. We consider two cases of second-order digital filters: distinct real poles and multiple real poles. In case of second-order digital filters, we can express the L2-sensitivity of second-order digital filters by a simple linear combination of exponential functions and formulate the L 2-sensitivity minimization problem by a simple polynomial equation. As a result, the minimum L2-sensitivity realizations can be synthesized by only solving a fourth-degree polynomial equation, which can be analytically solved.

Original languageEnglish
Pages (from-to)966-971
Number of pages6
JournalIEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
VolumeE93-A
Issue number5
DOIs
Publication statusPublished - 2010 May

Keywords

  • Closed form solutions
  • L-sensitivity
  • Minimization
  • State-space digital filters

ASJC Scopus subject areas

  • Signal Processing
  • Computer Graphics and Computer-Aided Design
  • Electrical and Electronic Engineering
  • Applied Mathematics

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