On the clifford short-time fourier transform and its properties

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 repro-ducing kernel formula. Moreover, we show the effects of modulating and translating the signal and the window function, respectively. Finally, we demonstrate the Lieb's uncer-tainty principle for the Clifford short-time Fourier transform.(c) 2021 Elsevier Inc. All rights reserved.