A theorem on complex-normalized reflection coefficient and its application (multiport networks)

The authors examine the scattering matrix of a lossless reciprocal n-port network terminated in n non-Foster positive-real impedances and its augmented n-port network. A theorem relating the complex-normalized scattering matrix of the n-port network to that of its augmented n-port normalizing to the n 1- Omega resistors is given, from which the scattering matrix of a diplexer or a multiplexer is obtained.<>