doi: 10.52899/24141437_2026_01_115
UDK: 681.3.088.8

Discrete Fourier transform Spectral Analysis of Signals with Access Time to Analyzed Signal of Less than a Period

Самаров Е. К., Ионченкова Я. Ю.
Article language:
Citation Link: Samarov EK, Ionchenkova YYu. Discrete Fourier transform Spectral Analysis of Signals with Access Time to Analyzed Signal of Less than a Period. Transactions of the Saint Petersburg State Marine Technical University. 2026; 5(1):115–121. DOI: 10.52899/24141437_2026_01_115 EDN: RWAYFN

Annotation

BACKGROUND: The development of the theory and applications of Fourier spectral analysis of signals has led to the development of numerous methods, including the most popular Fast Fourier Transform. Almost all existing analytical methods require an access time of at least one period for the lowest frequency signals in the analyzed spectrum. However, in practice, it is often required to solve problems where the access time should be less than the period of the lowest frequency signal in the analyzed spectrum or less than the period of any harmonic signal in the analyzed Fourier spectrum. Solving this problem by digital processing is an urgent task. AIM: To consider and study the Discrete Fourier Transform spectral analysis of signals when the access time to the analyzed signal is less than the period of any polyharmonic signal in the analyzed spectrum. METHODS: The Discrete Fourier Transform analysis of signals was used. RESULTS: Tests of the analyzed algorithms showed that the error of amplitude and phase shift of the spectral components of a 16-bit analog-to-digital converter does not exceed 1.5%. CONCLUSION: The analyzed method allowed to achieve the access time to the highest frequency signal (the fifth harmonic) of a tenth of the period. Keywords: digital signal processing; access time; Fourier spectral analysis of polyharmonic signals.

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