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On the parametrization of linear memoryless 2‐ports
Author(s) -
Recski Andras,
Zoller Vilmos
Publication year - 1982
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.4490100106
Subject(s) - mathematics , reciprocity (cultural anthropology) , algebraic number , linear map , inverse , parametrization (atmospheric modeling) , transformation (genetics) , parametric statistics , port (circuit theory) , tuple , set (abstract data type) , pure mathematics , discrete mathematics , algebra over a field , mathematical analysis , computer science , geometry , engineering , psychology , social psychology , biochemistry , chemistry , physics , statistics , quantum mechanics , electrical engineering , gene , radiative transfer , programming language
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.