Efficient Method for Fast Discrete Fourier Transform of Finite Signals with High Frequency Resolution

The paper is devoted to the development of methods and algorithms for fast Fourier transforms of discrete finite signals. For this purpose, a generalization of classical discrete Fourier transforms has been carried out by introducing parameters in the time and frequency domains into their bases. The...

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Bibliographic Details
Published in2024 26th International Conference on Digital Signal Processing and its Applications (DSPA) pp. 1 - 7
Main Authors Natalia, Ponomareva, Olga, Ponomareva, Alexey, Ponomarev
Format Conference Proceeding
LanguageEnglish
Published IEEE 27.03.2024
Subjects
discrete finite signal
discrete Fourier transform
Discrete Fourier transforms
fast Fourier transform
Fast Fourier transforms
High frequency
parametric discrete Fourier transform
parametric fast Fourier transform
Signal processing algorithms
Signal resolution
Sonar
System analysis and design
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Summary:The paper is devoted to the development of methods and algorithms for fast Fourier transforms of discrete finite signals. For this purpose, a generalization of classical discrete Fourier transforms has been carried out by introducing parameters in the time and frequency domains into their bases. The paper is a continuation of the authors' research in the field of spectral analysis. We emphasize the role of work in such areas as vibroacoustic functional diagnostics of objects in mechanical engineering, medicine, sonar, as well as in the detection and classification of surface and underwater vessels. A theoretical and experimental justification is given for the effectiveness and efficiency of the proposed method and algorithm for fast Fourier transform of discrete finite signals with high frequency resolution.
DOI:10.1109/DSPA60853.2024.10510030