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On the clifford short-time fourier transform and its properties

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  • De Martino, Antonino

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.

Suggested Citation

  • De Martino, Antonino, 2022. "On the clifford short-time fourier transform and its properties," Applied Mathematics and Computation, Elsevier, vol. 418(C).
    • Handle: RePEc:eee:apmaco:v:418:y:2022:i:c:s009630032100895x
    DOI: 10.1016/j.amc.2021.126812
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