Application of functional-analysis methods to solve problems of the synthesis of systems of the space-time processing of signals

The paper examines the synthesis of adaptive processing systems with correlation feedback (CF) which are invariant to the signal duration. Attention is given to the reduction of the sensitivity of space-time processing systems to static and random errors of gain control, and to the provision of the required stability margin for CF adaptive systems. The use of the operator-splitting theorem in the synthesis of multidimensional CF systems is considered.