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
相关论文
共 50 条
  • [1] Uncertainty principles associated with the directional short-time Fourier transform
    Mejjaoli, Hatem
    Shah, Firdous A.
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 2021, 62 (06)
  • [2] Quantitative uncertainty principles associated with the directional short-time Fourier transform
    Mejjaoli, Hatem
    Omri, Slim
    [J]. INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2021, 32 (10) : 753 - 779
  • [3] The logarithmic, Heisenberg's and short-time uncertainty principles associated with fractional Fourier transform
    Xu Guanlei
    Wang Xiaotong
    Xu Xiaogang
    [J]. SIGNAL PROCESSING, 2009, 89 (03) : 339 - 343
  • [4] Uncertainty principles for the short-time Fourier transform on the lattice
    Poria, Anirudha
    Dasgupta, Aparajita
    [J]. MATHEMATISCHE NACHRICHTEN, 2024, 297 (04) : 1501 - 1518
  • [5] Directional short-time Fourier transform
    Giv, Hossein Hosseini
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 399 (01) : 100 - 107
  • [6] Spectral theorems associated with the directional short-time Fourier transform
    Mejjaoli, Hatem
    Omri, Slim
    [J]. JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2020, 11 (01) : 15 - 54
  • [7] Spectral theorems associated with the directional short-time Fourier transform
    Hatem Mejjaoli
    Slim Omri
    [J]. Journal of Pseudo-Differential Operators and Applications, 2020, 11 : 15 - 54
  • [8] Directional short-time Fourier transform of distributions
    Saneva, Katerina Hadzi-Velkova
    Atanasova, Sanja
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016,
  • [9] Directional short-time Fourier transform of distributions
    Katerina Hadzi-Velkova Saneva
    Sanja Atanasova
    [J]. Journal of Inequalities and Applications, 2016
  • [10] Directional Short-Time Fourier Transform of Ultradistributions
    Sanja Atanasova
    Snježana Maksimović
    Stevan Pilipović
    [J]. Bulletin of the Malaysian Mathematical Sciences Society, 2021, 44 : 3069 - 3087
12345