DocumentCode
1745079
Title
Energy storage and Gramians of ladder filter realisations
Author
Harrison, Jeflrey ; Weste, Neil
Author_Institution
Dept. of Electron., Macquarie Univ., Marsfield, Australia
Volume
1
fYear
2001
fDate
6-9 May 2001
Firstpage
29
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
Keywords
controllability; ladder filters; lumped parameter networks; observability; passive filters; sensitivity analysis; transfer functions; Gramians; controllability; doubly-terminated LC ladder filter; energy storage; ladder filter realisations; observability; power gain; transfer function group delay; Active filters; Controllability; Delay; Digital filters; Dynamic range; Energy storage; Filtering theory; Frequency; Joining processes; Transfer functions;
fLanguage
English
Publisher
ieee
Conference_Titel
Circuits and Systems, 2001. ISCAS 2001. The 2001 IEEE International Symposium on
Conference_Location
Sydney, NSW
Print_ISBN
0-7803-6685-9
Type
conf
DOI
10.1109/ISCAS.2001.921780
Filename
921780
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