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Kelly, Peter M. (1960-01-01) A unified approach to two-terminal network synthesis. http://resolver.caltech.edu/CaltechETD:etd-06292006-085436


Type of Document Dissertation
Author Kelly, Peter M.
URN etd-06292006-085436
Persistent URL http://resolver.caltech.edu/CaltechETD:etd-06292006-085436
Title A unified approach to two-terminal network synthesis
Degree PhD
Option Electrical Engineering
Advisory Committee
Advisor Name Title
William Hayward Pickering Committee Chair
Keywords
  • none
Date of Defense 1960-01-01
Availability unrestricted
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.

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