Using statistical theory of mixtures to combat intersymbol interferences of signals in fiber-optic communication line

DOI №______

Abstract

The subject study, the results of which are given in this paper, are problems connected with the study of the formal similarity of intersymbol interference of signals and the probabilistic description of a mixed sample of random variables. The purpose of the study was to develop a mathematical model of test sequences of optical signals with allowance for dispersion distortions and the effects of random noise, the search for principles of rational technical implementation of the proposed method based on the resolution of mixtures. The task: analysis and justification of the probabilistic model of mixtures, consideration of the concept and conditions for the resolution of mixtures, determination of methods for adapting devices for identifying images of transmitted discrete signals, analysis of the features of using these methods in the regenerators of fiber optic cables. The methods used are: mathematical methods for solving problems of mathematical statistics and statistical theory of mixtures, computer simulation with the use of a package of mathematical processing. The following results are obtained: the main operations for adapting the regenerator for the demodulation of signals distorted by intersymbol interference are determined under specific transmission conditions in fiber-optic communication lines, which are formulated from the point of view of the statistical theory of mixtures, as the problem of estimating some parameters of the probability distribution of a mixture. Conclusions. The scientific novelty of the results is as follows: we proposed the use of concepts and methods of the statistical theory of mixtures for solving problems related to intersymbol interference of signals and the demodulator adaptation model, which reduces to calculating a weighted sum of 4 samples of the input signal and comparing the sum obtained with the threshold.

Keywords: statistical theory of mixtures; fiber-optic communication lines; intersymbol interference of signals; adaptation of a demodulator.

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