TY - JOUR
N2 - 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.
L1 - http://sd.czasopisma.pan.pl/Content/123372/PDF/33-3381-Matrassulova-sk-b_new.pdf
L2 - http://sd.czasopisma.pan.pl/Content/123372
PY - 2022
IS - No 2
EP - 244
DO - 10.24425/ijet.2022.139873
KW - digital signal processing
KW - non-binary Galois fields
KW - Fourier transform
KW - Rademacher functions
KW - Walsh function
KW - multivalued logic
KW - visibility problem
KW - algebraic extensions
KW - ternary representation of a number
A1 - Vitulyova, Elizaveta S.
A1 - Matrassulova, Dinara K.
A1 - Suleimenov, Ibragim E.
PB - Polish Academy of Sciences Committee of Electronics and Telecommunications
VL - vol. 68
DA - 2022.06.12
T1 - Construction of Generalized Rademacher Functions in Terms of Ternary Logic: Solving the Problem of Visibility of Using Galois Fields for Digital Signal Processing
SP - 237
UR - http://sd.czasopisma.pan.pl/dlibra/publication/edition/123372
T2 - International Journal of Electronics and Telecommunications
ER -