The Synthesis of Nonuniform Lines of Finite Length-Part I

1 December 1967

journal article
Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Circuit Theory

Vol. 14 (4) , 394-403
https://doi.org/10.1109/tct.1967.1082743

Abstract

The class of lossless, nonuniform transmission lines having an absolutely continuous characteristic impedance is considered. It is shown that an integral representation for the solution of such a line is possible when the line is terminated in a matched load. The principal contribution of this paper is the derivation of a linear integral equation in the kernel function of this representation. It is shown that the solution to this integral equation constitutes a unique solution to the synthesis problem for lines of the class considered. Necessary and sufficient conditions for realizability are also given.

Keywords

This publication has 6 references indexed in Scilit:

A Realizability Theory for Smooth Lossless Transmission Lines-Part II
IEEE Transactions on Circuit Theory, 1967
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IEEE Transactions on Circuit Theory, 1967
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