Parametrical synthesis of dynamic links for variants of their inclusion between a nonlinear part and loading of automatic systems of radio management with the general feedback

Introduction: the analysis of the known literature shows that the use of various types of matching quadripoles (reactive, resistive, complex, mixed) and the feedback circuit covering the non-linear element makes it possible to increase the area of physical feasibility of the given forms of frequency characteristics. The purpose of the work is to increase the area of physical feasibility of given forms of frequency responses by optimizing the parameters of matching mixed quadripoles and using an additional feedback circuit covering a nonlinear element and a mixed quadripole. One part of such quadripoles consists only of resistive elements, and the second - only of reactive elements. Materials and methods: theory of four-terminal networks, matrix algebra, decomposition method, method of synthesis of microwave control devices, circuit engineering method for analyzing the characteristics of radio devices. Results: Mathematical models of matching mixed quadripoles are obtained in the form of relationships between the elements of their transmission matrix and the dependences of the resistances of their two-terminals on frequency, which are optimal in terms of the criterion for providing specified forms of frequency characteristics. Conclusion: a comparative analysis of the theoretical results (frequency response and phase response of amplifiers) obtained by mathematical modeling in the MathCad system and experimental results obtained by circuit simulation in the OrCad and MicroCap systems shows their satisfactory agreement.