Parametrical synthesis of peak-phase modulators with the set quantity of identical cascades of type «the nonlinear part - the mixed two-port network»

Combined quadripoles contain a part of two-poles, which is made only on resistive elements, while another part of two-poles is made only on reactive elements. Such class of quadripoles is widely used in construction of filters and dynamic parts of automatic control systems. Therefore, the development of algorithms for the parametric synthesis of amplitude-phase modulators with the use of combined matching quadripole networks is an urgent task. In this study, matching provides a preset dependence of the ratio of modules and phase difference of the transfer function on frequency with two states of a nonlinear element, determined by two levels of the control signal. The non-linear part is represented by three-pole non-linear feedback element. Interaction between elements of the traditional transfer matrix of combined quadripoles are established and formulas to determine resistances of two-poles they include, which are optimal for providing amplitude-phase modulation of the output signal, are obtained. The study includes data from quadripole theory, methods of matrix algebra, parametric synthesis of microwave control devices, decomposition and circuit analysis of radio devices. Comparative analysis of the theoretical results (frequency response andphase response of modulators in two states) obtained by the use of mathematical modeling in the MathCad system and experimental results obtained due to the circuit simulation in the OrCad and MicroCap systems confirm their satisfactory coincidence.