Parametrical synthesis of radio devices with the set quantity of unequal cascades for variants of inclusion of jet two-port networks between a source of a signal and a nonlinear part

The algorithm of parametrical synthesis of various radio devices with any quantity of unequal cascades of type «the jet two-port network - a nonlinear part» by criterion of maintenance of the set frequency characteristics is developed. Nonlinear parts are presented in the form of a nonlinear element and parallel either consecutive on a current or pressure of a feedback. According to this criterion systems of the algebraic equations are generated and solved. Models of optimum two-port networks of one of cascades in the form of mathematical expressions for definition of interrelations between elements of their classical matrix of transfer and for search of restrictions in the form of dependences of resistance of two two-poles of one of cascades on frequency are as a result received. Parameters of other two- poles of all cascades are defined by means of numerical methods of optimization with the account of these restrictions. Thus optimization time is reduced in hundreds of times in comparison with time of optimization with the help only numerical methods. It is connected by that at use of restrictions received thus on each step of optimization, including the first, on the set quantity of frequencies coincidence of real values of transfer function to the set is provided. It is spent mathematical and modelling of multi-cascade amplifiers. It is shown, that the increase in quantity of cascades leads to substantial growth of product of factor of strengthening by a working strip of frequencies. The area of strengthening with growth of number of cascades increases and asymptotically aspires to the certain limit approximately equal 17000 MHz. Optimum quantity of cascades equally six. The further increase in number of cascades is inexpedient, as leads to scheme complication, and product of factor of strengthening on a strip of frequencies practically does not increase. The comparative analysis of the theoretical results received by mathematical modelling in system «MathCad», and the experimental results received by modelling in systems «OrCad» and «MicroCap», shows their satisfactory coincidence.