Energy storage and Gramians of ladder filter realisations

Jeffrey Harrison, Neil Weste

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

4 Citations (Scopus)

Abstract

An invariant of the controllability Gramian K and observability Gramian W, namely tr(KW), is expressed as an integral over frequency of the transfer function group delay weighted by power gain. This formula has strong connections with the old theory linking energy storage, sensitivity and group delay in LC networks. The Gramians of a doubly-terminated LC ladder filter realisation are discussed using this energy storage interpretation.

Original languageEnglish
Title of host publicationISCAS 2001 - 2001 IEEE International Symposium on Circuits and Systems, Conference Proceedings
EditorsC. Toumazou
Place of PublicationPiscataway, NJ
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
Pages29-32
Number of pages4
Volume1
ISBN (Print)0780366859, 9780780366855
DOIs
Publication statusPublished - 2001
Event2001 IEEE International Symposium on Circuits and Systems, ISCAS 2001 - Sydney, NSW, Australia
Duration: 6 May 20019 May 2001

Other

Other2001 IEEE International Symposium on Circuits and Systems, ISCAS 2001
CountryAustralia
CitySydney, NSW
Period6/05/019/05/01

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