Application of Scattering Matrices to the Synthesis of n Ports
- 1 June 1956
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IRE Transactions on Circuit Theory
- Vol. 3 (2) , 111-120
- https://doi.org/10.1109/tct.1956.1086304
Abstract
Scattering matrices are applied to the synthesis of finite passiven-ports (n-terminal pair networks) with frequency dependence. A realizability theorem for scattering matrices is shown and ann-port is synthesized as a nondissipative network terminated in resistances. By considering the various numbers of resistance terminations and introducing the notion of generalized minimum phase shift, the relation among all the equivalent networks with a prescribed scattering matrix is studied. Reciprocal or nonreciprocal networks containing the minimum number of reactances or the minimum number of reactances and resistances are generally treated.Keywords
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