Застосування апарату рядів Фур`є для оптимізації процесів обробки сигналів у телекомунікаційних системах

Abstract

The article investigates the applied aspects of the Fourier series apparatus in modern telecommunications systems. The main attention is paid to the mechanisms of filtering unwanted noise and the principles of spectral data compression. The influence of the Gibbs effect on the accuracy of signal recovery in places of discontinuity is analyzed. The results confirm the effectiveness of harmonic analysis as a basis for the development of algorithms for processing digital information, which allows minimizing distortion and optimizing the frequency resource.