Journal of Radio Electronics. eISSN 1684-1719. 2026. ¹4
Full text in Russian (pdf)
DOI: https://doi.org/10.30898/1684-1719.2026.4.15
EXPANSION OF SPECTRAL METHODS
OF SIGNAL PROCESSING
A.L. Timofeev, A.Kh. Sultanov, I.K. Meshkov, A.R. Gizatulin
Ufa University of Science and Technology,
450076, Russia, Ufa, Z. Validi Street, 32
The paper was received March 10, 2026.
Abstract. Digital spectrum processing allows, in some cases, the elimination of analog processing paths in the radio channel when receiving modulated signals and the digital extraction of information. Transferring digital processing from the time domain to the frequency domain simplifies both the algorithmic and hardware aspects of the digital demodulator. It has been shown that to demodulate an amplitude-modulated signal digitized in the receiver, it is sufficient to shift the upper sideband spectrum to the low-frequency region, zeroing out the carrier and lower sideband spectra. The inverse Fourier transform of the resulting spectrum yields the demodulated signal. The proposed spectral digital demodulation method eliminates the need for analog signal processing equipment in the high-frequency path by replacing all operations with digital spectral processing. This method eliminates the need for modulation itself–to shift a digital low-frequency signal to the high-frequency region, it is sufficient to shift its spectrum along the frequency axis to the desired position. The spectral approach also improves noise immunity without the use of dedicated noise-correcting coding by introducing adaptive redundancy, the level of which is adjusted according to the channel noise level. Redundancy can be introduced both in time and in spectrum width. For example, when using 80 % of the allocated frequency band and 70 % of the available time interval for data transmission, the spectral approach allows for the use of the unoccupied 20 % of the frequency range plus 30 % of the time interval, introducing 50 % redundancy, reducing noise-induced distortion by a factor of 1.3.
Key words: spectral processing, digital modulation, digital demodulation, adjustable redundancy.
Financing: The study was supported by the grant of Russian Science Foundation ¹ 25-29-01149, https://rscf.ru/project/25-29-01149/.
Corresponding author: Timofeev Aleksandr Leonidovich, a_l_t@inbox.ru
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For citation:
Timofeev A.L., Sultanov A.Kh., Meshkov I.K., Gizatulin A.R. Expansion of spectral methods of signal processing. // Journal of Radio Electronics. – 2026. – ¹. 4. https://doi.org/10.30898/1684-1719.2026.4.15 (In Russian)