Open AccessABOUT PHASE INTERDEPENDENCE AND POSSIBILITY OF WALSH FUNCTIONS SYSTEM REDUCTION
Author(s) -
Lubomyr Petryshyn
Publication year - 2014
Publication title -
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.