Accession Number : AD0656772

Title :   SYNTHESIS OF FINITE PASSIVE N-PORTS WITH PRESCRIBED POSITIVE REAL MATRICES OF SEVERAL VARIABLES,

Corporate Author : POLYTECHNIC INST OF BROOKLYN FARMINGDALE N Y DEPT OF ELECTROPHYSICS

Personal Author(s) : Koga,Tosiro

Report Date : JUL 1967

Pagination or Media Count : 51

Abstract : Positive real functions and matrices of several variables are introduced concerning the design problem of a passive network composed of lumped elements with variable parameters. The importance of these functions and matrices has recently received considerable attention for application to the problem of synthesizing passive networks composed of noncommensurable transmission lines and lumped elements. The problem of synthesizing positive real functions and matrice of several variables has been discussed by several authors. However, the problem has not been solved generally, except for the two-variable lossless case and the case where a two-variable positive real function is prescribed as a bilinear function with respect to one of the two variables. In this paper, a most general solution to the above-mentioned problem is presented. It is shown that an arbitrarily prescribed n x n positive real matrix, symmetric or nonsymmetric, of several variables is realizable as the impedance or admittance matrix of a finite passive n-port. It is further shown that, if the matrix is symmetric, then it is realizable as a bilateral passive n-port. Related problems and discussions are also given. (Author)

Descriptors :   (*ELECTRICAL NETWORKS, THEORY), DESIGN, TRANSMISSION LINES, CIRCUITS, THEOREMS, MATHEMATICAL ANALYSIS

Subject Categories : Electrical and Electronic Equipment

Distribution Statement : APPROVED FOR PUBLIC RELEASE