Geodesic
The device for numerical-analytical modeling of signal characteristics in a stochastic information channel
The Bulletin of Irkutsk State University. Series Mathematics, Tome 30 (2019), pp. 3-15
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The problem of the mathematical control theory associated with the control of a signal in an information channel subjected to spatio-temporal random influences is considered. A device has been developed for numerically-analytical modeling of the statistical trajectory characteristics of a signal propagating in a channel between fixed correspondents. Based on direct Poincare expansion, approximate functional relationships are obtained that relate the aggregate of statistical moments of the signal and the model of the correlation function describing the statistical uncertainty of the channel. To describe the temporal fluctuations of the channel parameters, the hypothesis of the transfer of frozen turbulence is used. The integral expressions for the moments of the signal are converted to a system of ordinary differential equations of the first order with initial Cauchy conditions. An extended system of differential equations is obtained for the simultaneous calculation of unperturbed trajectories and derivatives of trajectories with respect to the initial parameters of the problem. The conclusion is made of a complete system of differential equations for calculating the statistical characteristics of the signal. The possibility of controlling the characteristics of the signal at the receiving point by selecting the controlled parameters of the channel effects is shown. The developed device for calculating the statistical moments of the signal can be used to build an inverter that allows you to restore unknown statistical parameters of the spatio-temporal disturbances of the channel from the known measured set of statistical characteristics of the signal at the observation point.
Keywords: mathematical control theory, dynamical systems, stochastic differential equations, information channel
Mots-clés : signal fluctuations. 
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E. T. Ageeva; N. T. Afanasiev; D. Kim; O. I. Medvedeva; S. O. Chudaev. The device for numerical-analytical modeling of signal characteristics in a stochastic information channel. The Bulletin of Irkutsk State University. Series Mathematics, Tome 30 (2019), pp. 3-15. http://geodesic.mathdoc.fr/item/IIGUM_2019_30_a0/

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