Algorithm for filtering coordinates of a ground source unauthorized radio emission in a satellite communication system with direct retransmission

In the article, an algorithm for filtering the coordinates of a ground source of unauthorized radio emission in a satellite communication system with direct retransmission is developed. The content statement of the problem of filtering the coordinates of a ground source of unauthorized radio emission is initially formulated for its formation when selecting a system of restrictions and assumptions. On the basis of its mathematical model is developed, which unlike the well-known allows you to perform collaborative problem solving filtration coordinates of ground source unauthorized radio emission in conditions of a priori uncertainty about the position coordinates and velocity vector of the perturbed orbital motion of the primary and adjacent satellites-repeaters. The basis of the final algorithm for filtering the coordinates of a ground source of unauthorized radio emission is the rule of recursive estimation of the state vector, defined when using the extended Kalman filter to minimize the root-mean-square error of the state vector. The efficiency of the developed algorithm is checked on specific examples. The efficiency of the developed algorithm is checked. Based on the results of a posteriori studies, it was determined that the algorithm on average reduces the root-mean-square error of the estimate by 1,34 times.