Synthesis of Three-Terminal R, C Networks

A general method is developed which will synthesize a two-port network when all three short-circuit admittance functions and , that are realizable using positive resistors, capacitors, and negative resistors, are prescribed. The synthesized twoport is a three-terminal network. The method of synthesis involves the development of a separate component network for each type of pole that is realizable by a network. The short-circuit admittance functions are then realized by the parallel connection of the required component networks. Effort is made to keep the number of negative resistors as small as the method will permit.