Energy storage and Gramians of ladder filter realisations

Jeffrey Harrison, Neil Weste

    Research output: Chapter in Book/Report/Conference proceedingConference proceeding contributionpeer-review

    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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