A Unified Approach to Two-Terminal Network Synthesis

Citation

Kelly, Peter M. (1960) A Unified Approach to Two-Terminal Network Synthesis. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/WP7M-PE92. https://resolver.caltech.edu/CaltechETD:etd-06292006-085436

Abstract

The advantages are considered of developing dual approaches to two terminal lumped constant network synthesis. The first is the usual S-plane approach emphasizing the positive-real concept; the second treats the reflection coefficient, involves unitary modular functions, and is related to the older wave filter theory. The second viewpoint is developed in some detail and used to unify the various existing methods of two-terminal synthesis on a common mathematical basis. The synthesis techniques of Foster, Cauer, Brune, Bott-Duffin, Failkow-Gerst, and Miyata are re-examined in terms of the reflection coefficient and some alternate methods of synthesis are suggested. It is found that all of these synthesis techniques may be derived as applications of the Schwarz' lemma.

Thesis Files