Abstract
AbstractA report was previously made on problems, for given port characteristics of a functional resistive two‐port, to determine the lower bound for the number of elements needed in the topological realization of the characteristics with nullors and resistors, or to determine the voltage and current graphs GV and Gi. The algorithm to determine the two‐port in the nullor model from Gv and Gi has also been published for simple cases [7, 8]. This paper describes, for given Gv and Gi for an Nth order real square matrix, a generalized algorithm to determine the nullor model N‐port with specified port characteristics. The algorithm is applied to the topologically minimal realization of the generalized immittance converter (GIC) to determine all possible minimal GIC realizations. The algorithm forms a basis for the proposed topological network synthesis, which is a kind of structured system synthesis. Various applications of the idea as well as the determination of Gv and Gi from an Nth order real square matrix are also discussed.
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