A note on congruence transformed completely equivalent p-ports

This paper presents a method of generating a class of equivalent
p
-port networks for which the open-circuit impedance matrix
Z_p
remains completely invariant. The networks are generated from an initial network by a congruence transformation of the nodal admittance matrix
Y_n
of the
(n + 1)
-node network from which the
p
-ports are extracted. The transformation method, the invariance of
Z_p
, and a method of computing
Z_p
from
Y_n
are then used to formulate an efficient iterative procedure for synthesizing resistive networks exactly on a
k
-tree port structure.