THE SYNTHESIS OF NONUNIFORM TRANSMISSION LINES.
THE SYNTHESIS OF NONUNIFORM TRANSMISSION LINES.

Author: Pieter Geert Cath

Publisher:

Published: 1961

Total Pages: 136

ISBN-13:

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A general synthesis procedure was developed by which matching sections can be synthesized. The values of the internal impedance of the generator and the load impedance can be given either in equation form or in the form of measurements. The synthesis procedure is based upon approximate solutions to the equations describing nonuniform transmission lines that have appeared in the literature. The matching problem is reduced to the problem of finding a real function, the reflection-distribution function, whose complex Fourier transform approximates a complex function, determined by the generator and load impedances. The reflection-distribution function must be identically zero outside a specified interval. The reflection-distribution function is found by expansion into a trigonometric series and subsequently determining the coefficients in this expansion. A method is developed by which the complex function to be approximated is first separated in real and imaginary parts. The coefficients in the trigonometric expansion are then determined such that these real and imaginary parts are approximated separately in a discrete Chebyshev sense (the maximum magnitude of the approximation error is minimum at a discrete number of sampling points). (Author).

Engineering Journal
Engineering Journal

Author:

Publisher:

Published: 1969

Total Pages: 766

ISBN-13:

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Vol. 7, no.7, July 1924, contains papers prepared by Canadian engineers for the first World power conference, July, 1924.

On the Analysis & Synthesis of Multilayer RC Distributed Networks
On the Analysis & Synthesis of Multilayer RC Distributed Networks

Author: Fung-Yuel Chang

Publisher:

Published: 1968

Total Pages: 175

ISBN-13:

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This thesis is concerned with the study of multi-layer resistance-capacitance (RC) distributed networks. Such networks are formed by layers of dielectric material sandwiched alternately between layers of resistive material. The networks bear a resemblance to coupled RC transmission lines and can be regarded as multi-port networks. In this thesis we attempt to develop a complete theory of the multi-layer RC distributed network. The network will be described in terms of the explicit forms of the generalized ABCD (chain) matrices. Canonical expressions of the immittance and voltage transfer functions of the networks having uniform and piecewise uniform as well as certain nonuniform structures are derived. It is found that as far as the driving point immittance function is concerned, uniform RC (transmission) lines connected in series, in parallel, in cascade or the combinations can be replaced by a single multi-layer RC distributed network. The network also exhibits both the low-pass and band-pass characteristics with voltage gain greater than unity over a certain range of frequencies. Necessary and sufficient conditions are given under which a transcendental function can be realized as the network function of a multi-layer RC distributed network. Experimental results are also given to verify the theories developed in this thesis. (Author).