Real frequency technique applied to synthesis of lumped broadband matching networks with arbitrary nonuniform losses for MMICs

A computer-aided-synthesis technique is presented for testing the synthesis of lumped matching networks with arbitrary nonuniform losses. It is especially applicable to the design of broadband amplifiers in monolithic microwave integrated circuits (MMICs). A theorem and corollary are developed for the transformation between a lossy (or lossless) network and a lossless one, simplifying the design of the lossy matching networks. Using the transformation provided by the theorem, the lossless reactive lumped elements can be replaced by the lumped circuit elements with arbitrary nonuniform losses including skin, conductor and dielectric losses. Therefore, all kinds of losses in the matching network are considered. An example is given to show the application of the method in monolithic broadband amplifier design.<>