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On a relationship between howitt and T‐transformations in n ‐port passive reciprocal networks
Author(s) -
Tavsanoglu Vedat
Publication year - 1976
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.4490040304
Subject(s) - reciprocal , port (circuit theory) , matrix (chemical analysis) , transformation (genetics) , transformation matrix , mathematics , state (computer science) , topology (electrical circuits) , computer science , combinatorics , physics , engineering , algorithm , electrical engineering , quantum mechanics , philosophy , linguistics , materials science , biochemistry , chemistry , kinematics , composite material , gene
A new Howitt transformation is defined which is applied to the hybrid description of a newly defined augmented network obtained by extracting appropriate terminals from an n ‐port passive reciprocal network. A relationship between the Howitt matrix and the matrix T , which relates the state realizations of equivalent n ‐port networks, is found. For a restricted form of the matrix T , it is shown that a sufficient condition for the existence of such a relationship is that the equivalent n ‐ports be reciprocal. It is also shown that this relationship always exists for equivalent n ‐port RC or RL networks regardless of any restriction on the matrix T .