On the clifford short-time fourier transform and its properties

被引：10
|
作者：
De Martino, Antonio [1 ]
机构：
[1] Politecn Milan, Dipartimento Matemat, Via Bonardi 9, I-20133 Milan, Italy
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2022年 / 418卷
关键词：
Clifford analysis; Clifford-Fourier transform; Short-time fourier transform;
D O I：
10.1016/j.amc.2021.126812
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页数：20
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