The efficiency of synthesized optimum algorithms of processing of random fields of signals is based on adequacy of mathematical model to the real phenomena which lay the foundation in mathematical models of useful and hindered signals. The basic and principal difference of the prospective approach to the development of new theoretical positions of the scientific – methodical means of space-time processing of random fields of signals from the known one is statistical space and time optimization with exception of mutual negative influence to each other. The advantage of the proposed approach is that synthesis becomes possible for the first time by solving statistical optimization problems at the spatial and temporal stages of processing. The use of kronecker-tensor product will make it possible to replace obsolete algorithms for processing multidimensional random received signals with better and more efficient ones, taking into account the real randomness of spatial structures and satisfying modern requirements of military science.