Applying of the Walsh functions systems in navigation digital data processing

Abstract

The Walsh function system is a multiplicative group of Rademacher and Gray functions. In its structure, it contains discrete-harmonic, sin-components of the Rademacher functions, and cos-components of the Gray functions, as well as discrete-irregular components of the Walsh functions. The phase interdependence property has been defined, in pairs of a complete Walsh functions system. Odd (sin-components) and even (cos-components) Walsh function subsystems were extracted as theoretical and numerical data processing bases. The perspective concerning the following processing efficiency and digital signal processing was identified, as were navigation signal digital processing in defined functions systems.