The K Matrix of n-Port Networks: Analysis and Synthesis

Abstract

A new characterization of the terminal behavior of linear n -port networks by means of an (n \times n) matrix K is proposed. The conventional role of ports is preserved here only in looking on them as the sole input gates of the network, whereas any pair of terminals is admissible for output specifications. This new characterization is shown to be a convenient medium in analysis of a general linear n -port network. More important, in the case of a real matrix K , the paper provides an algorithm that either leads to a realization of a resistive n -port network complying with the given specification, or shows that such a realization does not exist.