On the Clifford short-time Fourier transform and its properties
Classical Analysis and ODEs
2021-11-17 v1 Complex Variables
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
Cite
@article{arxiv.2111.08335,
title = {On the Clifford short-time Fourier transform and its properties},
author = {Antonino De Martino},
journal= {arXiv preprint arXiv:2111.08335},
year = {2021}
}
Comments
To appear in Applied Mathematics and Computation Journal