Accession Number : AD0605264

Title :   CASCADE SYNTHESIS OF PASSIVE N-PORTS,

Corporate Author : POLYTECHNIC INST OF BROOKLYN N Y MICROWAVE RESEARCH INST

Personal Author(s) : Youla,Dante C.

Report Date : AUG 1964

Pagination or Media Count : 200

Abstract : This report presents a theory of cascade synthesis for lumped, passive n-ports based on a generalization of Richards' theorem to the matrix case. It is first shown that there is a natural way to define the 'zeros of transmission' of a rational positive-real matrix Z(p) and that the number of such zeros equals precisely (Z), the McMillan degree of Z(p). By applying the generalized Richards theorem at a zero of transmission, it is possible to induce a degree reduction in the terminating impedance matrix. If the degree reduction is restricted, from the outset, to equal, at most, one, two, or four units, the process generates the 2n-port analogues of the Richards, type E and Darlington 4-terminal A A, B, C and D sectioons. The synthesis procedure encompasses nonreciprocal as well as reciprocal networks and economic realizations are achieved for all the primitive reciprocal sections and most of the nonreciprocal ones. (Author)

Descriptors :   (*ELECTRICAL NETWORKS, SYNTHESIS), NETWORKS, CIRCUITS, MATRICES(MATHEMATICS), FUNCTIONS(MATHEMATICS), POLYNOMIALS, CIRCUITS

Distribution Statement : APPROVED FOR PUBLIC RELEASE