Synthesis of 4-terminal reactive networks

A synthesis technique has been developed and a systematic realisation procedure has been presented for a general class of transformerless 4-terminal reactive networks without mutual inductances. The necessary and sufficient conditions for the applicability of this technique have been stated and the relevant theorems proved. With this technique it is possible to realise exactly a general class of fourth-order indefinite admittance matrices by networks of the series-parallel class. This synthesis procedure amounts to realisation of canonic sections and results in a simplified synthesis problem. The technique has been illustrated by means of examples of network realisations. The technique has also been applied to the problem of synthesis of a grounded 3-port network.