CASCADE SYNTHESIS OF PASSIVE N-PORTS,
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1964
- Accession Number
- AD0605264
Entities
People
- Dante C. Youla
Organizations
- New York University Tandon School of Engineering