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Cascade decomposition of a passive 2 n ‐port network
Author(s) -
Uruski M.
Publication year - 1989
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.4490170107
Subject(s) - cascade , port (circuit theory) , degenerate energy levels , lossless compression , remainder , decomposition , scattering , mathematics , electrical impedance , physics , engineering , electronic engineering , algorithm , optics , arithmetic , quantum mechanics , data compression , ecology , biology , chemical engineering
This paper deals with a cascade decomposition of a passive 2 n ‐port network. after a basic discussion relative to complex‐ and unit‐normalized scattering matrices, necessary and sufficient conditions are presented under which given lossless 2 n ‐ports D 1 and D 2 are simultaneously extractable from the front‐ and back‐ends of the passive 2 n ‐port N , respectively, to leave a passive 2 n ‐port remainder Ne. Based on these conditions, some relations between the individual and simultaneous extractability of D 1 and D 2 from N for both degenerate and non‐degenerate remainders N e are discussed. the results are presented in terms of scattering as well as impedance matrices and can be considered as an extension of those given in Reference 1.