Igor I. Gorban
Inst. of Mathematical Machines and Systems, Natl. Acad. of Sciences, 42 Ave Acad. Glushkov, Kiev, 252187, Ukraine
There have been many works connected with working out and researching high-quality space-time signal processing (STSP) algorithms matched with medium and noises. However, there has been far less research into the question of STSP algorithms matched with the motion of the antenna in space, especially in the case of the three-dimensional motion of the antenna with variable velocity, angle rotations, and modified form. The aim of this paper is to present the results of research in the field of STSP matched with the complicated motion of the antenna, the medium, and the noises together. This research developed from the author's earlier research that was presented at the conference on Computational Acoustics and its Environment Applications, Southampton, UK, 1995. In this paper the integral equations that describe maximum likelihood STSP matched with the complicated motion of the antenna, inhomogeneous medium, and additive Gaussian space-time correlated noises, have been obtained. Special ways for solving the equations were proposed and high-quality spectrum STSP algorithms were found for partially coherent and stochastic signals. The new and the former algorithms were compared in different conditions. It was found that in many cases the new algorithms were essentially better than the former ones.