A Note on Zeros of Reflection and Transmission in a Cascade of Lossless Two-Terminal-Pair Networks
- 1 September 1959
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IRE Transactions on Circuit Theory
- Vol. 6 (3) , 282-287
- https://doi.org/10.1109/tct.1959.1086559
Abstract
Certain properties of cascade-connected, two-terminal-pair lossless networks are investigated. Particular reference is made to the duo-cascade (two-terminal-pair networks) and the trio-cascade (three two terminal-pair networks). In the first part of the paper, theorems and proofs pertaining to inter-relations among the reflection and transmission coefficients of the complete cascade and the two-terminal-pair networks are presented. In the second part of the paper, a discussion of degenerate transmission zeros is presented. In the third section, the effects on transmission coefficients of adding various right-halfs-plane zeros of reflection are investigated. Reflection zeros are added so that the real frequency magnitude of a reflection coefficient is invariant under the addition of reflection zeros.Keywords
This publication has 1 reference indexed in Scilit:
- Theoretical limitations on the broadband matching of arbitrary impedancesJournal of the Franklin Institute, 1950