
Accession Number : AD0688618
Title : TWOVARIABLE SYNTHESIS OF RESISTIVELY TERMINATED CASCADES OF LOSSLESS TRANSMISSION LINES, SERIES INDUCTORS AND SHUNT CAPACITORS, AND MINIMUM GYRATOR SYNTHESIS OF CERTAIN LUMPED LOSSLESS NPORTS,
Corporate Author : POLYTECHNIC INST OF BROOKLYN N Y DEPT OF ELECTROPHYSICS
Personal Author(s) : Youla,Dante C. ; Ott,Gary D.
Report Date : MAY 1969
Pagination or Media Count : 173
Abstract : The work consists of two parts. In Part 1, necessary conditions are derived for the driving point impedance function of a resistively terminated cascade of equal lengths of lossless transmission line, series inductors and shunt capacitors. Several approaches are presented which tend to indicate that the conditions are also sufficient. Sufficiency is actually proved for the special case of a resistively terminated cascade of no more than two equal lengths of loosless transmission line and shunt capacitors only. A numerical example is included which illustrates the synthesis procedure. In Part 2, the problem of realizing an arbitrary rational n x n regular paraunitary matrix, S(p), as the scattering matrix of a lossless nport containing the minimum number of ideal gyrators is considered. The approach used is to try to generate a lossless reciprocal n + k port, N sub a, such that when the last kports of N are terminated in k/2 uncoupled ideal gyrators, the resulting nport realizes S(p). The success of the approach is shown to depend upon the existence of an appropriate factorization of the skewsymmetric part of S(p). It is shown that a minimum gyrator synthesis is always possible for the special class of matrices having a skewsymmetric part which is nonsingular for all p = jw, including p = infinity. A nontrivial numerical example of the synthesis technique is presented in an appendix. In addition, techniques for the minimum gyrator synthesis of arbitrary 2 x 2 and degree two n x n regular paraunitary matrices are presented. (Author)
Descriptors : (*NETWORKS, SYNTHESIS), TRANSMISSION LINES, COILS, CAPACITORS, PHASE SHIFT CIRCUITS, MATRICES(MATHEMATICS), MATHEMATICAL ANALYSIS
Subject Categories : Electrical and Electronic Equipment
Distribution Statement : APPROVED FOR PUBLIC RELEASE