Linear Passive Networks: Functional Theory

Brian D.O. Anderson

doi:10.1109/PROC.1976.10068

Linear Passive Networks: Functional Theory

Brian D.O. Anderson

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

Linear passive time-variable networks are investigated primarily through the use of distributional kernels as applied to the scattering matrix treated in the time domain. Necessary and sufficient conditions for passivity are obtained, and the scattering matrix is shown to be a measure satisfying an energy form constraint. Lossless constraints pertinent to synthesis are developed while networks consisting of a finite number of circuit elements are considered in some detail. Examples ilustrating interesting behavior are presented.

Original language	English
Pages (from-to)	72-88
Number of pages	17
Journal	Proceedings of the IEEE
Volume	64
Issue number	1
DOIs	https://doi.org/10.1109/PROC.1976.10068
Publication status	Published - Jan 1976
Externally published	Yes

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title = "Linear Passive Networks: Functional Theory",

abstract = "Linear passive time-variable networks are investigated primarily through the use of distributional kernels as applied to the scattering matrix treated in the time domain. Necessary and sufficient conditions for passivity are obtained, and the scattering matrix is shown to be a measure satisfying an energy form constraint. Lossless constraints pertinent to synthesis are developed while networks consisting of a finite number of circuit elements are considered in some detail. Examples ilustrating interesting behavior are presented.",

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AB - Linear passive time-variable networks are investigated primarily through the use of distributional kernels as applied to the scattering matrix treated in the time domain. Necessary and sufficient conditions for passivity are obtained, and the scattering matrix is shown to be a measure satisfying an energy form constraint. Lossless constraints pertinent to synthesis are developed while networks consisting of a finite number of circuit elements are considered in some detail. Examples ilustrating interesting behavior are presented.

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Linear Passive Networks: Functional Theory

Abstract

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