MODELING OF DISCONTINUOUS RANDOM PROCESSES AND RANDOM STRUCTURE PROCESSES IN RADIO ENGINEERING SYSTEMS

The article addresses the relevant problem of mathematical modeling of non-Gaussian random processes, which are widespread in radio engineering systems. Such processes adequately describe impulse noise, signals with complex modulation types, and other non-standard influences. A detailed analysis of two key classes is conducted: discontinuous (discrete-continuous) processes and processes with random structure. For their synthesis, the framework of stochastic differential equations is proposed, in which the shaping processes are non-Markovian. Within the study, the corresponding stochastic differential equations were developed and their analytical investigation was carried out using the method of functional approximation. It is shown that this method provides accuracy comparable to the classical cumulant analysis but with significantly lower computational complexity, which opens up prospects for practical application in the tasks of analysis and filtering of complex signals.