On the clifford short-time fourier transform and its properties

作者：

Highlights：

• In this article is presented a possible extension of the Clifford short-time Fourier transform in the Clifford setting.

• A generalized modulation operator is investigated.

• Some main properties such as the orthogonality relation, the reconstruction property the reproducing kernel formula are proved.

• In the paper are showed the effects of modulating and translating the signal and the window function, respectively.

摘要

•In this article is presented a possible extension of the Clifford short-time Fourier transform in the Clifford setting.•A generalized modulation operator is investigated.•Some main properties such as the orthogonality relation, the reconstruction property the reproducing kernel formula are proved.•In the paper are showed the effects of modulating and translating the signal and the window function, respectively.

论文关键词：Clifford analysis,Clifford-Fourier transform,Short-time fourier transform

论文评审过程：Received 4 May 2020, Revised 13 August 2021, Accepted 15 November 2021, Available online 29 November 2021, Version of Record 29 November 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126812