
Accession Number : AD0605264
Title : CASCADE SYNTHESIS OF PASSIVE NPORTS,
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 nports 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 positivereal 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 2nport analogues of the Richards, type E and Darlington 4terminal 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