Construction of Generalized Rademacher Functions in Terms of Ternary Logic: Solving the Problem of Visibility of Using Galois Fields for Digital Signal Processing

Vitulyova E.S. Matrassulova D.K. Suleimenov I.E.
2022 Polska Akademia Nauk

International Journal of Electronics and Telecommunications
2022 #68 Issue 2 237 - 244 pp.

Generalized Rademacher functions, constructed as a sequence of elements of Galois fields are intended to find the spectral representation of signals with levels. These functions form a complete basis on the interval corresponding to -1 discrete time intervals and for passing into the classical Rademacher functions. The advantage of such spectra obtained using Galois Fields Fourier Transform is that the range of variation of the spectrum amplitudes remains the same as the range of variation of the original signal, which is modeled on discrete time functions taking values in the Galois field.

algebraic extensions , digital signal processing , Fourier transform , multivalued logic , non-binary Galois fields , Rademacher functions , ternary representation of a number , visibility problem , Walsh function

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Almaty University of Power Engineering and Telecommunications named after Gumarbek Daukeyev, Almaty, Kazakhstan
National Engineering Academy of Republic of Kazakhstan, Almaty, Kazakhstan

Almaty University of Power Engineering and Telecommunications named after Gumarbek Daukeyev
National Engineering Academy of Republic of Kazakhstan

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