Explicit expressions of the balanced realizations for second-order filters

Shunsuke Yamaki, Masahide Abe, Masayuki Kawamata

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper proposes explicit expressions of the balanced realizations of second-order digital and analog filters. We first consider the case of digital filters. Second-order digital filters are categorized into the following three cases: complex conjugate poles, distinct real poles, and multiple real poles. For each case, simple formulas are derived for the synthesis of the balanced realizations. As a result, we obtain explicit expressions of the balanced realizations of all types of second-order digital filters. Furthermore, we show that explicit expressions for second-order digital filters can be applied for also second-order analog filters by simple modifications of definitions of some parameters.

Original languageEnglish
Title of host publicationISPACS 2009 - 2009 International Symposium on Intelligent Signal Processing and Communication Systems, Proceedings
Pages417-420
Number of pages4
DOIs
Publication statusPublished - 2009 Dec 1
Event2009 International Symposium on Intelligent Signal Processing and Communication Systems, ISPACS 2009 - Kanazawa, Japan
Duration: 2009 Dec 72009 Dec 9

Publication series

NameISPACS 2009 - 2009 International Symposium on Intelligent Signal Processing and Communication Systems, Proceedings

Other

Other2009 International Symposium on Intelligent Signal Processing and Communication Systems, ISPACS 2009
Country/TerritoryJapan
CityKanazawa
Period09/12/709/12/9

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Signal Processing
  • Electrical and Electronic Engineering
  • Communication

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