Generalized Gyrator and Driving Point Function Synthesis†

Abstract
A generalized gyrator has been defined by its transmission matrix as: where g1(8) and g2(8) are positive or negative realizable admittance functions. A method of realizing this generalized gyrator has been given. The different gyrators that result, depending on the signs of g1(8) and g2(8), have been classified. As an application it is shown that any arbitrary driving point function may always be synthesized using a generalized gyrator and five RC one-ports.

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