ABOUT PHASE INTERDEPENDENCE AND POSSIBILITY OF WALSH FUNCTIONS SYSTEM REDUCTION | Zendy

Lubomyr Petryshyn | Zendy

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ABOUT PHASE INTERDEPENDENCE AND POSSIBILITY OF WALSH FUNCTIONS SYSTEM REDUCTION

Author(s) -

Lubomyr Petryshyn

Publication year - 2014

Publication title -

international journal of computing

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.184

H-Index - 11

eISSN - 2312-5381

pISSN - 1727-6209

DOI - 10.47839/ijc.12.2.593

Subject(s) - walsh function , multiplicative function , mathematics , reduction (mathematics) , function (biology) , pure mathematics , computer science , discrete mathematics , algorithm , mathematical analysis , geometry , evolutionary biology , biology

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.

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