Synthesis of (n+2)-Node Resistive n-Port Networks

Certain properties of the network of departure
N_d
and the padding network
N_p
of an (
n + 2
)-node resistive
n
-port network containing no negative conductances are established. Based an these properties, some necessary conditions and a sufficient condition for the realizability of the
Y
matrices of (
n + 2
)-node resistive
n
-port networks are obtained. A new proof for the supremacy condition is given. Also, a necessary and sufficient condition for the realization of (
n + 2
)-node
n
-port networks having specified
Y
and
K
matrices is given.