Analysis of linear n-port networks

Some properties of a general, non-reciprocal, linear network with n accessible terminal pairs (n-port) are investigated. With the use of a symbolic notation, a unique expression for all network functions is derived. This expression can be obtained in terms of the subdeterminants of the open-circuit impedance or the short-circuit admittance matrix of the n-port, and is applicable with any combination of open- or short-circuits at the network ports. Since all network functions, with such terminations of the n-port, may be expressed in terms of sub-determinants of one and the same matrix, numerous relations between them may be established. Some examples illustrate the application of this method.