The Theory of Generalized Interdigital Networks

A theory for two-port generalized interdigital networks is presented. Initially, after the definition of an arbitrary generalized interdigital network, properties of admittance scaling and transformations of general interdigital lines are formulated. The necessary and sufficient conditions are then presented for the individual realization of any admittance parameter of such a network. The results obtained in this section influence the choice of a compact set of sufficiency conditions for the realization of any arbitrary twoport admittance matrix by this class of networks. These sufficiency conditions are also shown to imply simple sufficiency conditions on the insertion-loss function of a resistively terminated, two-port generalized interdigital network.