M. I. Babokin

Mathematical models for describing earth surface with displacements, reflected and accepted signal are presented. Displacement earth surface estimation algorithms for multipassage SAR systems are synthesized. A chosen part of the earth surface is observed in the telescopic regime by SAR systems several times in a definite time interval, which are coordinated with displacements process. Employs mathematical device Markov-s processes for description displacements of earth surface in the time. To obtain a filtration (estimation) algorithm with respect to displacements of the earth surface, the local Gaussian approximation was used. Thus the non-linear filtration problem was reduced to the problem quasi- linear filtration. Here, the displacements estimate appeared to be close to the optimum one with respect to the minimum mean square error criterion.