Statistical Synthesis of the Algorithm for Formation of Radar Images of Objects Accounting for Pulse Decorrelation

Abstract

From the standpoint of the theory of statistical synthesis of information systems, the problem of determining the parameters of objects from the data of radar observations with a high rate of sounding and a change in perspective is considered. When developing a parametric model of signals from the observed objects, the approximation of local reflecting elements rotating around a certain axis was used, and the decorrelation of the received pulses was taken into account, due to inaccuracies in compensation of amplitude and phase changes, caused by the translational movement of the object. A general expression is obtained for the likelihood ratio as a function of the relative amplitudes and coordinates of the reflecting elements and the angular velocity of rotation. It is shown that the use of the criterion for the maximum of the likelihood function to determine the parameters of dominant reflecting elements in particular cases of quasi-coherent or incoherent pulses leads to the formation of sufficient statistics in the form of quasi-coherent or incoherent radar images, respectively. The results of computer simulation of the considered variants of the synthesis of radar images when processing a series of pulses under various conditions are presented.