Energy storage and Gramians of ladder filter realisations

Jeffrey Harrison; Neil Weste

doi:10.1109/ISCAS.2001.921780

Energy storage and Gramians of ladder filter realisations

Jeffrey Harrison, Neil Weste

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution › peer-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 language	English
Title of host publication	ISCAS 2001 - 2001 IEEE International Symposium on Circuits and Systems, Conference Proceedings
Editors	C. Toumazou
Place of Publication	Piscataway, NJ
Publisher	Institute of Electrical and Electronics Engineers (IEEE)
Pages	29-32
Number of pages	4
Volume	1
ISBN (Print)	0780366859, 9780780366855
DOIs	https://doi.org/10.1109/ISCAS.2001.921780
Publication status	Published - 2001
Event	2001 IEEE International Symposium on Circuits and Systems, ISCAS 2001 - Sydney, NSW, Australia Duration: 6 May 2001 → 9 May 2001

Other

Other	2001 IEEE International Symposium on Circuits and Systems, ISCAS 2001
Country/Territory	Australia
City	Sydney, NSW
Period	6/05/01 → 9/05/01

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10.1109/ISCAS.2001.921780

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title = "Energy storage and Gramians of ladder filter realisations",

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.",

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Harrison, J & Weste, N 2001, Energy storage and Gramians of ladder filter realisations. in C Toumazou (ed.), ISCAS 2001 - 2001 IEEE International Symposium on Circuits and Systems, Conference Proceedings. vol. 1, 921780, Institute of Electrical and Electronics Engineers (IEEE), Piscataway, NJ, pp. 29-32, 2001 IEEE International Symposium on Circuits and Systems, ISCAS 2001, Sydney, NSW, Australia, 6/05/01. https://doi.org/10.1109/ISCAS.2001.921780

Energy storage and Gramians of ladder filter realisations. / Harrison, Jeffrey; Weste, Neil.

ISCAS 2001 - 2001 IEEE International Symposium on Circuits and Systems, Conference Proceedings. ed. / C. Toumazou. Vol. 1 Piscataway, NJ : Institute of Electrical and Electronics Engineers (IEEE), 2001. p. 29-32 921780.

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution › peer-review

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M3 - Conference proceeding contribution

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ER -

Energy storage and Gramians of ladder filter realisations

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