Parametric synthesis of matching four-poles in a feedback circuit of multistage amplifiers reflective type

An algorithm has been developed for the parametric synthesis of reflective multistage amplifiers using reactive, resistive, mixed and complex matching four-poles connected to a feedback circuit. The possibilities of syn­thesizing such amplifiers using the reflection coefficient at the input and output of a radio device are con­sidered. The interrelationships between the elements of the classical feedback transmission matrix, optimal according to the selected criterion, are determined. The frequency dependences of the resistances of the two-pole part of the indicated types of four-pole resistances are obtained, which are optimal according to the criterion of en­suring the specified frequency characteristics. Dual permutations have been established that make it possible to determine the input resistances for structural circuits of the “nonlinear part — additional four-pole” type with known expressions for the output resistances of structural circuits of the “additional four-pole — nonlinear part” type and vice versa. In this case, the theory of four-poles, methods of matrix algebra, parametric synthesis of microwave control devices, decomposition and mathematical analysis of the frequency characteristics of ref­lective amplifiers are used.