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A Unified Approach to Two-Terminal Network Synthesis


Kelly, Peter M. (1960) A Unified Approach to Two-Terminal Network Synthesis. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/WP7M-PE92.


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.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:(Electrical Engineering)
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Electrical Engineering
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Pickering, William Hayward
Thesis Committee:
  • Unknown, Unknown
Defense Date:1960
Record Number:CaltechETD:etd-06292006-085436
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:2774
Deposited By: Imported from ETD-db
Deposited On:13 Jul 2006
Last Modified:07 Nov 2023 18:13

Thesis Files

PDF (Kelly_pm_1960.pdf) - Final Version
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