Change detection algorithms analysis over radar images using a generating function

While solving different problems of space monitoring, the problem of determining the presence or absence of the small changes of the reflecting surface arises during the observation session. For reliable detection of such a situation, it is recommended to use a constellation of small satellites that form statistically independent radar images. In the paper, we investigate the algorithm for classification of the signals reflected from two surfaces with different values of scattering cross-section on the set of radar images. The analytical method and the statistical simulation method are investigated, and the behavior of probabilities is examined when the magnitude of changes on the surface are varies. The recommendations are given on the choice of the number of satellites for various characteristics of reflective surfaces.