On the clifford short-time fourier transform and its properties

Antonino De Martino

Applied Mathematics and Computation, 2022, vol. 418, issue C

Abstract: In this paper we investigate how the short-time Fourier transform can be extended in a Clifford setting. We prove some of the main properties of the Clifford short-time Fourier transform such as the orthogonality relation, the reconstruction property and the reproducing kernel formula. Moreover, we show the effects of modulating and translating the signal and the window function, respectively. Finally, we demonstrate the Lieb’s uncertainty principle for the Clifford short-time Fourier transform.

Keywords: Clifford analysis; Clifford-Fourier transform; Short-time fourier transform (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:418:y:2022:i:c:s009630032100895x

DOI: 10.1016/j.amc.2021.126812

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