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.