DISPERSION'S UNCERTAINTY PRINCIPLES ASSOCIATED WITH THE DIRECTIONAL SHORT-TIME FOURIER TRANSFORM

被引：2
|
作者：
Hkimi, Siwar [1 ]
Mejjaoli, Hatem [2 ]
Omri, Slim [1 ]
机构：
[1] Tunis El Manar Univ, Fac Sci Tunis, Dept Math, Tunis 2092, Tunisia
[2] Taibah Univ, Coll Sci, Dept Math, POB 30002, Al Madinah Al Munawarah, Saudi Arabia
来源：
STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA | 2020年 / 57卷 / 04期
关键词：
Directional short-time Fourier transform; directional radar ambiguity function; uncertainty principles; entropy; Heisenberg's inequality; Faris-Price's theorem; local uncertainty principle; INEQUALITIES; FRAMES;
D O I：
10.1556/012.2020.57.4.1479
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce the directional short-time Fourier transform for which we prove a new Plancherel's formula. We also prove for this transform several uncertainty principles as Heisenberg inequalities, logarithmic uncertainty principle, Faris-Price uncertainty principles and Donoho-Stark's uncertainty principles.
引用
收藏
页码：508 / 540
页数：33
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