Synthesis using symmetric distributed RC-structures

This paper deals with the synthesis of transfer functions using symmetric structures, a symmetric structure being a three-terminal network composed of distributed and/or lumped RC elements, and having z11 = z22. Necessary and sufficient conditions are presented for the realization of a class of transfer functions by a three-terminal structure, which is a cascade of a number of networks of two types, one type being a ladder network whose different elements are cascades of symmetric structures, and the other type being a cascade of n symmetric structures. Realization procedures for this class of transfer functions are given. An extension is considered for the realization of a transfer function as a parallel interconnexion of such structures. Existing transfer function synthesis procedures using uniform lines are extended to include symmetric structures.