EXCITATION OF PARAMETRIC OSCILLATIONS WITH RANDOM EXTERNAL SIGNALS

Abstract

Currently, the main technical means of communication systems are receiving and transmitting radio devices, which in their structure contain various converters and amplifiers operating in nonlinear modes. In the transmission paths themselves, interference, delays, mismatches and parametric effects can occur, which leads to the appearance of small amplitude signals in the information channels. These factors have a significant impact on the characteristics of the telecommunications system.Theoretical investigations of the influence of random signals (oscillations) on the operating modes of a nonlinear oscillatory system is an urgent task and aimed at expanding the possibilities of its use. In general, the analysis of random excitation of oscillations in nonlinear parametric systems is of interest for many branches of science and technology.The goal of the work is to research the factors that influence the possibility of excitation of oscillations in nonlinear systems and possible modes of their operation in the presence of small in amplitude random signals.The analysis of parametric systems with significant nonlinearity in the presence of random external signals. The most important cases of excitation of the inductive nonlinear system are considered. The relations allowing to control the parameters of the regenerate signal depending on the mode of excitation are got.It is shown that in the case of a quasiharmonic input signal, the noise reduces the amplitude of the useful output signal. In the case of a broadband input signal (modeled by white noise), a limited response value is possible only for nonzero losses (the nonlinearity of the system is not enough for this).