IMPROVEMENT OF MATHEMATICAL MODEL OF OPTICAL CHANNELS TRANSMISSION OF INFORMATION
DOI:
https://doi.org/10.26906/SUNZ.2021.1.153Keywords:
telecommunication network, forensic information information system, optical communication channel, mathematical model, continuous integral, parabolic wave equationAbstract
The object of research is the methods of building a mathematical model of optical information transmission channels in the information system of forensic examination, the subject of research - optical information transmission channels. The results of the analysis of information transfer in the information system of forensic examination are given, which established that when using optical communication channels the biggest problems arise due to the heterogeneity of the distribution environment. Therefore, the task of monitoring the state of information exchange in computer networks of the information system is extremely important. The solution of this complex and multifaceted problem in the article is based on previous studies, which were performed using the formalism of continuum integrals (CI) Feiman. , field theory, mathematical statistics and probability theory, nonlinear optics, systems theory. These methods were integrated into the general method, which allowed to improve the mathematical model of optical information transmission channels. Using the analytical relations obtained in the previous article, the equations of correlation functions, including arbitrary order, were formulated. This became possible using Feymann continuous integrals. The analysis of the obtained equations for some partial conditions is given in the article. The article finds that the use of CI allows you to simply write as solutions of equations of any order (although usually writing solutions in the form of CI is a transfer of difficulties from one area - solving equations in private derivatives to another, because accurately calculated CI only special type - Gaussian ), and expressions for such quantities that cannot be described by closed equations, while avoiding the introduction of redundant parameters. The complexity and difficulty of solving equations for moments increases with increasing order: if the equations even for the spatial coherence functions of the first and second orders are solved in general, the analytical solution of the equation for higher moments can no longer be obtained. Usually, to uncouple the chain and obtain closed equations for moments of this order, certain statistical hypotheses about the solution are adopted. When formulating a problem in CI terminals, such statistical hypotheses appear as some approximations for subintegral expression, which allows us to trace the nature of approximations and determine the limits of their applicability. Thus, there is a theoretical possibility of improving the mathematical model of optical information transmission channels based on the use of CI formalism to obtain the equation of correlation functionsDownloads
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