Spectral analysis of audio signal using complex discrete cosine transform
- 1,2,3,4 Moscow Technical University of Communications and Informatics (Moscow, Russia)
Abstract
The primary method of spectral signal analysis in most practical applications remains the discrete Fourier transform (DFT), or its fast computational implementation, the fast Fourier transform (FFT). The resolution and accuracy of the resulting estimate are clearly insufficient for analyzing the properties of an audio signal and processing it undistorted. This paper proposes several technical solutions that can improve the accuracy of estimates generated based on the FFT, as well as the previously developed complex discrete cosine transform (CDCT). The use of the CDCT also allows for doubling the resolution of analysis in spectral analysis of an audio signal and the development of systems with spectral signal separation. To analyze the capabilities of the CDCT when used to analyze the properties of an audio signal with the formation of accurate estimates of frequency, amplitude and phase, and also to measure the spread of signal energy during its CDCT analysis. The results of the study allow us to evaluate the possibilities of using the CDCT and DFT with different window functions, and the appropriate areas of application of the transformations. The obtained results demonstrated the efficiency of the developed algorithm and the potential for its use in analyzing the spectrum of an audio signal, as well as coding and processing in systems with spectral separation of signals.
- Received
- 23.06.2026
- Approved after review
- 17.08.2026
- Accepted
- 01.09.2026
How to cite
Попов О.Б., Чернышева Т.В., Орлов К.В., Сапронов П.С. Возможности спектрального анализа с помощью комплексного дискретного косинусного преобразования // Электромагнитные волны и электронные системы. 2026. Т. 31. № 5. С. 89−98. DOI: https://doi.org/10.18127/j15604128-202605-09
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