The Analytic Foundations of Linear, Time-Invariant N-Ports, Part 1
Abstract
At a single frequency, a linear, source-free, time invariant n-port N is completely characterized by the n x n normalized scattering matrix S. The work of Mason1, Deschamps2, and Schaug-Retterson and Tonning , has revealed the very striking connection between the basic performance properties of 2-ports and their invariants under lossless reciprocal embeddings leaving the number of ports unchanged. In general, the embedding of an n-port N in a 2n-port M results in a new n-port N whose scattering matrix W is a matrix bilinear transform of S. One of this paper's main objectives is to show that lossless, reciprocal M induces transformations that are strict analogues of those Moebius mappings of the ordinary complex plane which leave the unit circle invariant. The observation serves as the starting point for almost all the investigations reported herein.
Document Details
- Document Type
- Technical Report
- Publication Date
- May 03, 1962
- Accession Number
- AD0285169
Entities
People
- D. C. Youla
- D. Stock
- Lance Kaplan
Organizations
- New York University