One of possible ways to improve the technical means of air sensing is the introduction of complex systems, in which the methods of radar and satellite tracking of the radiosonde in flight are used. In this case it is necessary to solve a number of specific problems, such as the development of models of radar signals, transmitted by the radiosonde of noise affecting them, the development of mathematical models of the movement of the radiosonde in the atmosphere, to justify and to choose the method of integration of special position of the radiosonde meters and the development of algorithm for integrated processing of information about the special coordinates of the radiosonde, etc. In the work a variant of simplifying the model of the state vector dynamics by the quasi-random process in the problem of complex aerological radiosonding of atmosphere has been considered. It has been shown that the proposed variant permits to move from the system of stochastic differential equations to the model of the state vector in the form of a quasi-random process. This provides an analytical solution of the Stratonovich equation and thus, improves the accuracy and constructability of the algorithm for estimating the components of the state vector in the problem of the complex aerological radiosonding in atmosphere.
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