ABSTRACT
deals with the methods of synthesis of algorithms and units of signal processing in metric spaces with lattice properties are considered, so that the developed approaches to the synthesis allow operating with minimum necessary prior data concerning characteristics and properties of interacting useful and interference signals. The last one means that, firstly, no prior data concerning probabilistic distribution of useful signals and interference are supposed to be present. Secondly, a priori, the kind of the useful signal (signals) is assumed to be known, i.e. we know that it is either deterministic (quasi-deterministic) or stochastic one. Within the seventh chapter, the quality indices of synthesized signal processing algorithms and units are obtained. It is shown, that algorithms and units of signal processing in metric spaces with lattice properties are characterized by the invariance property with respect to parametric and nonparametric prior uncertainty conditions. Chapter 7 is finished with methods of mapping of signal spaces with group (semigroup) properties into signal space with lattice properties.
