ABOUT PHASE INTERDEPENDENCE AND POSSIBILITY OF WALSH FUNCTIONS SYSTEM REDUCTION
DOI:
https://doi.org/10.47839/ijc.12.2.593Keywords:
Digital processing, function, Rademacher, Gray, Walsh, even, odd.Abstract
The system of Walsh functions is the multiplicative group of Rademacher- and Gray-function systems. The system contains discrete-harmonic sin-components of Rademacher functions, cos-components of Gray functions, and also discrete-nonharmonic components of Walsh functions. Pair phase interdependence of complete Walsh system functions is established. Subsystems of odd (sin-components) and even (cos-components) of Walsh functions as bases of theoretic-number transformations are constructed. The perspective of the future researches of transformations efficiency for digital signal processing in the proposed function systems is defined.References
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