Abstract
Abstract : The objective of the research is to solve several problems of fundamental importance in the design of broadband matching networks and multiplexers. More specifically, we investigate the following: (1) Obtain a set of coefficient constraints that are necessary and sufficient for a real rational matrix to be the scattering matrix of a passive n-port network normalizing to the n prescribed non-foster positive-real impedances. (2) Derive a set of coefficient constraints that are necessary and sufficient for the existence of a lossless reciprocal n-port network, which, when terminated in the n given frequency-dependent loads, realizes the prescribed transducer power-gain characteristics among its ports. Study the relationships between the broadband matching of many ports and the design theory of multiplexers and apply the known results in the theory of broadband matching to minimize the interaction effects of the individual channels.
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