Cybernetics And Systems Analysis
International Theoretical Science
Journal
Abstract. The theory and solution of the applied problem of structuring the Fourier discrete spectral cosine transform (FDSCT) in the modular arithmetic of the Haar–Krestenson theoretical-numerical basis are presented. A high-performance algorithm for the FDSCT was developed by adapting the orthogonal functions of the Fourier, Rademacher, Krestenson, and Haar bases to the asymptotic autocovariance of the signals being investigated. A method for structuring the FDSCT algorithm in the modular arithmetic of the residue number system of the Haar–Krestenson theoretical-numerical basis was implemented. The structure of a special processor of the FDSCT implementation and its microelectronic basic components are given.
Keywords: spectrum, Fourier cosine transform, modular arithmetic.
1 Ternopil National Economic University, Ternopil, Ukraine,
e-mail: lmnykolaychuk@gmail.com.
2 Ternopil National Economic University, Ternopil, Ukraine,
e-mail: nvozna@ukr.net.
3 National University of Water and Environmental Engineering, Rivne, Ukraine,
e-mail: kboris@ukr.net.
4 Ivano-Frankivsk
National Technical University of Oil and Gas, Ivano-Frankivsk, Ukraine,
e-mail: pixel@ukr.net.
