On the factorization of transfer matrices of lossless two-ports
- 1 February 1970
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Circuit Theory
- Vol. 17 (1), 86-94
- https://doi.org/10.1109/TCT.1970.1083058
Abstract
The problem of factorizing the transfer matrix is treated in a rigorous way for all lumped finite lossless two-ports, including those containing gyrators and imaginary resistances. It is shown how, for a given order in which the factorization should be realized, all solutions can be obtained in a simple way once an acceptable solution of a certain set of fundamental equations, consisting of a certain numbernof linear homogeneous equations inn+ 2 unknowns, has been found. A simple procedure for establishing these fundamental equations is given.Keywords
This publication has 2 references indexed in Scilit:
- Four-Dimensional Transformations of 4-Pole Matrices with Applications to the Synthesis of Reactance 4-PolesIRE Transactions on Circuit Theory, 1956
- Synthesis of Reactance 4‐Poles Which Produce Prescribed Insertion Loss Characteristics: Including Special Applications To Filter DesignJournal of Mathematics and Physics, 1939