Connection of Angular Dimensions of Simulated Distributed Objects With Parameters of Distribution of Their Angular Noise

Abstract

Fluctuations of the apparent center of radiation near their expectation during the irradiation of distributed objects with probing signals from radar stations have been observed by scientists for many decades. An expression describing the statistical nature of such fluctuations is known in the literature. These fluctuations are called angular noise. With all this, there is still no expression connecting the angular dimensions of the object and the distribution parameters of its angular noise. This expression is necessary to predict the angular size of distributed objects in problems of simulating reflections from them. In the article, the problem indicated above is solved in two ways. When using the first method, it is possible to obtain an unambiguous relationship between the angular size of the object and the distribution parameters of its angular noise, but for each new object it is necessary to re-derive this relationship, which is not always possible. When using the second method, the probability is used with which the fluctuating apparent center of radiation of a signal reflected from a distributed object falls within the boundaries of this object. This method has no disadvantage of the first one. The results presented in this article were confirmed by means of mathematical modeling.