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

This paper discloses some of the prominent features of an
(n + p)
-terminal,
n
-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
(n + 1)
- and
(n + 2)
-terminal synthesis techniques that result in the generation of
(p + 2)
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
p
intra-subtree networks, which complete the requirements of the
p
port subtrees. The completed network contains no negative branches and completely satisfies the
n(n + 1)/2
requirements of the
n
-port. The procedure is basic, straightforward, and is capable of systematization.