Closed form expressions of balanced realizations of second-order analog filters

Shunsuke Yamaki, Masahide Abe, Masayuki Kawamata

Research output: Contribution to journalArticlepeer-review

Abstract

This paper derives the balanced realizations of secondorder analog filters directly from the transfer function. Second-order analog 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 of secondorder analog filters. As a result, we obtain closed form expressions of the balanced realizations of second-order analog filters.

Original languageEnglish
Pages (from-to)565-571
Number of pages7
JournalIEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
VolumeE97-A
Issue number2
DOIs
Publication statusPublished - 2014 Jan 1

Keywords

  • Balanced realizations
  • Closed form expressions
  • State-space analog filters

ASJC Scopus subject areas

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

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