New application of non-binary Galois fields Fourier transform: Digital analog of convolution theorem
Vitulyova E.S. Matrassulova D.K. Suleimenov I.E.
September 2021Institute of Advanced Engineering and Science
Indonesian Journal of Electrical Engineering and Computer Science
2021#23Issue 31718 - 1726 pp.
It is shown that the use of the representation of digital signals varying in the restricted amplitude range through elements of Galois fields and the Galois field Fourier transform makes it possible to obtain an analogue of the convolution theorem. It is shown that the theorem makes it possible to analyze digital linear systems in same way that is used to analyze linear systems described by functions that take real or complex values (analog signals). In particular, it is possibile to construct a digital analogue of the transfer function for any linear system that has the property of invariance with respect to the time shift. It is shown that the result obtained has a fairly wide application, in particular, it is of interest for systems in which signal processing methods are combined with the use of neural networks.
Convolution theorem Fourier transform Galois fields Neural networks
Text of the article Перейти на текст статьи
Almaty University of Power Engineering and Telecommunications named after Gumarbek Daukeyev, Kazakhstan
Crimean Federal University named by V.I. Vernadsky, Crimea, Simferopol, Russian Federation
Almaty University of Power Engineering and Telecommunications named after Gumarbek Daukeyev
Crimean Federal University named by V.I. Vernadsky
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026