Finite-dimensional distributions at radio-location supervision of navigation objects

The uncertainty arising when using the characteristics of a system of radar signals reflected from marine objects in the presence or absence of atmospheric formations, which interfere with the radar allocation of echo signals of navigation objects on the ship’s radar indicators of, is considered. In this case, it becomes necessary to isolate completely defined signal structures and structures with uncertainty, which include fluctuating signals that have random deviations from their average equilibrium states. A mechanism is distinguished in structures with uncertainty, which is an internal property of a ship’s radar system that is not associated with the action of any random forces, i.e. chaos. Chaos introduces a certain risk when the operator makes a final decision that the echo signal on the indicator of the ship’s radar is created only by the navigation object and the measured coordinates belong only to the navigation object. To reduce the risk from uncertainty in the homing of the echo signal with the navigation object located in the atmospheric area of education for non-stationary echo (partially polarized echo signal) uncertainty is set to the actual Stokes parameters in combination with their conversion according to deterministic rules. A mathematical model of the random process represented by job family, of course dimensional distributions using the mathematical expectations of the Stokes parameters and coherence matrix. In the marine radar the time interval of averaging is finite, therefore, as applied to polarimetric radar the tasks used, the Stokes vector, represented by a matrix with blocks describing statistical relations between components of a random process at fixed time points and are interpreted as the energy characteristics of the original random process. It is shown that the amount of information in the polarization echo signals with uncertainty in their temporal and polarization structures does not depend on the decomposition and determines the correlation function and the statistics of the time error samples of the system echoes. It is established that due to the process of radar surveillance with navigation facilities preventing reflections from atmospheric formations, the uncertainty of the effect on polarization parameters of the echo signal and the temporary provisions of the system echoes. It is shown that the model of echo signal together reflected from the navigation object and atmospheric education is the period of a random function defined by the time interval the sum of a finite number of elements of the decomposition. The probabilistic characteristics of a stationary random process and random errors are determined by multidimensional normal distribution laws, centered on their average values. The amount of radar information in the polarization echo signal with uncertainty in the temporal and polarization structures is determined by the dispersion of orthogonally polarized components, the form of the correlation function defined by the Stokes polarization parameters and the statistics of the time errors of the readings of the radar signal system. When analyzing radar information on the indicators of the ship’s radar about the polarization system of the echo signals of a navigation object located in the zone of atmospheric formation, a classification system of procedures is used, according to which a decision is made on the principle of “certainty – risk – uncertainty”.