Modeling and Parameter Estimation of Partially Coherent Signals in Radio Engineering Systems

Abstract

The problem of modeling signals of various spatial coherence in radio engineering systems is considered. First, a mathematical model for spatially coherent signals in the form of stochastic differential equations is constructed, followed by its study in the Simulink environment. The following is a method for constructing a mathematical model for a more general case – partially coherent signals, and its accuracy is also evaluated. Based on the developed models, an algorithm for estimating the parameters of partially coherent signals is synthesized. Based on the obtained dependence of the sensitivity of the model to deviation from a priori data, conclusions are drawn about a sufficiently high accuracy of estimation using synthesized algorithms.

Development of mathematical models for nonlinear nonstationary random processes

“…The process of modeling one-dimensional continuous non-stationary RPs involves the following steps [4,5,7,[9][10][11]:…”

“…When modeling discrete-continuous SPs, a Poisson sequence of delta impulses is used as the forming noise 𝜈(𝑡) [5,7]. It is also possible to model mixed processes in SDEs, for which two forming noises are used -WGN and a Poisson sequence, which is detailed in [6].…”

Investigation of mathematical models of continuous communication channel in the form of stochastic equations

“…This causes the need for appropriate development of methods for analysis and synthesis of non-Gaussian models of random processes in channels in the form of stochastic differential equations (SDE) and their simulation in various software environments. Some modeling results were presented in [4][5]. In the following, the conclusions of such equations for different distribution laws will be given.…”