REALIZATION OF CAUER THIRD FORM BY INTEGRATORS.

Chyi Hwang, Chee Fai Yung, Kuo Kai Shyu

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

The realization of Cauer third form of continued fraction expansion (CFE) by both integrators and differentiators is restricted to even-order systems. A realization form which involves integrators only and is applicable to both odd- and even-order systems is presented. A new similarity transformation matrix is derived to transform a state-space model in its phase-variable canonical form to that in the new Cauer third CFE canonical form. This transformation matrix can be used to construct an approximate aggregation matrix which relates the states of a high-order system and its reduced-order model obtained by the method of the new Cauer third form.

Original languageEnglish
Pages (from-to)434-438
Number of pages5
JournalIEEE transactions on circuits and systems
VolumeCAS-33
Issue number4
DOIs
StatePublished - 1986

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