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On the parametrization of linear memoryless 2-ports

✍ Scribed by Andras Recski; Vilmos Zoller

Publisher: John Wiley and Sons
Year: 1982
Tongue: English
Weight: 406 KB
Volume: 10
Category: Article
ISSN: 0098-9886
DOI: 10.1002/cta.4490100106

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✦ Synopsis

Abstract

A parametric description of all homogeneous linear memoryless 2‐ports is given using the Grassmann‐Plücker co‐ordinates of algebraic geometry. Unlike the usual (impedance, scattering, chain, etc.) descriptions, this one presents a 1–1 correspondence between the set of all 2‐ports and certain 4‐tuples. The physical meaning of these parameters is related to reciprocity, passivity and losslessness, hence every important transformation of the 2‐port (not only negative and inverse but dual and adjoint as well) can directly be obtained.

A remark on linear network solvability is included.

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