Realization of modified cut-set matrix and applications

The concepts of network of departure and padding n-port network are defined and certain important properties of these networks are stated. A necessary and sufficient criterion for the realization of the modified cut-set matrix of a resistive n-port network having a prescribed configuration is given. A new approach to the synthesis of short-circuit conductance matrix of a resistive n-port network with more than (n + 1) nodes is outlined. Necessary and sufficient conditions for the realization of the potential factor matrix of an (n + 2) node resistive n-port network are also obtained. These conditions lead to a simple t&t for the realizability of the modified cut-set matrix of an (n + 2) node n-port network. Examples are worked out to illustrate the application of these results.