Synthesis of Tapered Distributed RCG Networks

The synthesis of a broad class of tapered distributed networks, which include uniform , exponential , hyperbolic cosine-squared , hyperbolic sine-squared , trigonometric , and square tapered networks, is investigated. The necessary and sufficient realizability conditions are presented. It is shown that by using some suitable transformations, this class of networks may be obtained from any of the known lumped passive or active synthesis methods. A complete synthesis procedure is given. Relations among sensitivity functions of this class of networks are presented. The stability conditions of this class of networks are discussed. The necessary and sufficient conditions for the network are presented and proven. It is demonstrated that those for other members of this class of networks may be obtained in a similar way.