The Synthesis of Transformerless n-Port Networks on Multitree Port Structures

This paper discloses some of the prominent features of an -terminal, -port network synthesis procedure which is capable of producing various equivalent network realizations having different branch topologies on appropriate port-tree structures. The method is based on - and -terminal synthesis techniques that result in the generation of subnetworks whose combination results in a complete realization. One network provides all of the necessary inter-subtree transmission properties but contains both positive and negative branches; a second network having no negative branches provides no inter-subtree transmission but introduces parasitics among the ports within each port subtree and intra-subtree networks, which complete the requirements of the port subtrees. The completed network contains no negative branches and completely satisfies the requirements of the -port. The procedure is basic, straightforward, and is capable of systematization.