
Accession Number : AD0250726
Title : THE SYNTHESIS OF NONUNIFORM TRANSMISSION LINES
Corporate Author : MICHIGAN UNIV ANN ARBOR OFFICE OF RESEARCH ADMINISTRATION
Personal Author(s) : CATH, PIETER G.
Report Date : JAN 1961
Pagination or Media Count : 1
Abstract : 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 reflectiondistribution function, whose complex Fourier transform approximates a complex function, determined by the generator and load impedances. The reflectiondistribution function must be identically zero outside a specified interval. The reflectiondistribution 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 imaginery 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)
Descriptors : *ELECTRICAL NETWORKS, *TRANSMISSION LINES, ELECTRICAL IMPEDANCE, FOURIER ANALYSIS.
Distribution Statement : APPROVED FOR PUBLIC RELEASE