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Synthesis of a useful class of transmission line networks
Author(s) -
Valtonen Martti
Publication year - 1973
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.4490010204
Subject(s) - admittance , realizability , transmission line , transfer function , mathematics , electric power transmission , topology (electrical circuits) , scattering , mathematical analysis , control theory (sociology) , computer science , electrical impedance , algorithm , telecommunications , physics , combinatorics , engineering , optics , control (management) , artificial intelligence , electrical engineering , quantum mechanics
A general class of networks consisting of cascaded commensurate transmission lines and shunt imaginary conductances is considered. This kind of network performs an excellent approximation to transmission line networks with shunt stubs or lumped elements. The realizability conditions for the driving‐point admittance and transfer function have been given in a previous paper. The imaginary conductances were generated by introducing an extra phase angle into the scattering function. In the present paper two alternative methods are given1 by identifying in different ways the roots of the numerator polynomial in the input scattering function. 2 by using non‐symmetric gain functions.The influence of different factorizations and non‐symmetric gain functions upon the element values variation is examined.