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

Shunsuke Yamaki; Masahide Abe; Masayuki Kawamata

doi:10.1587/transfun.E97.A.565

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

Shunsuke Yamaki, Masahide Abe, Masayuki Kawamata

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	565-571
Number of pages	7
Journal	IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Volume	E97-A
Issue number	2
DOIs	https://doi.org/10.1587/transfun.E97.A.565
Publication status	Published - 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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AB - 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.

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

Abstract

Keywords

ASJC Scopus subject areas

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