A note on congruence transformed completely equivalent p-ports

This paper presents a method of generating a class of equivalent -port networks for which the open-circuit impedance matrix remains completely invariant. The networks are generated from an initial network by a congruence transformation of the nodal admittance matrix of the -node network from which the -ports are extracted. The transformation method, the invariance of , and a method of computing from are then used to formulate an efficient iterative procedure for synthesizing resistive networks exactly on a -tree port structure.