Uncertainty principle for the two-sided quaternion windowed Fourier transform

被引：17

作者：

Kamel, Brahim ^{[1
]}

Tefjeni, Emna ^{[2
]}

机构：

[1] Univ Bisha, Coll Sci, Dept Math, POB 344, Bisha 61922, Saudi Arabia

[2] Univ Tunis El Manar, Fac Sci Tunis, Tunis, Tunisia

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2019年 / 30卷 / 05期

关键词：

Quaternion Fourier transform; quaternion windowed Fourier transform; the radar quaternion ambiguity function; quaternion Wigner transform; uncertainty principle;

D O I：

10.1080/10652469.2019.1572138

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the quaternion windowed Fourier transform (QWFT) and prove the Local uncertainty principle, the Logarithmic uncertainty principle and Amrein Berthier for the QWFT, the radar quaternion ambiguity function and the quaternion Wigner transform.

引用

页码：362 / 382

页数：21

共 50 条

[1] Uncertainty principle for the two sided quaternion windowed Fourier transform
Brahim, Kamel
Tefjeni, Emna
[J]. JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2020, 11 (01) : 159 - 185
[2] Uncertainty principle for the two sided quaternion windowed Fourier transform
Kamel Brahim
Emna Tefjeni
[J]. Journal of Pseudo-Differential Operators and Applications, 2020, 11 : 159 - 185
[3] The Uncertainty Principle for the Two-Sided Quaternion Fourier Transform
El Haoui, Youssef
Fahlaoui, Said
[J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2017, 14 (06)
[4] The Uncertainty Principle for the Two-Sided Quaternion Fourier Transform
Youssef El Haoui
Said Fahlaoui
[J]. Mediterranean Journal of Mathematics, 2017, 14
[5] Uncertainty Principle for the Two-Sided Quaternion Windowed Linear Canonical Transform
Gao, Wen-Biao
Li, Bing-Zhao
[J]. CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2022, 41 (03) : 1324 - 1348
[6] Uncertainty Principle for the Two-Sided Quaternion Windowed Linear Canonical Transform
Wen-Biao Gao
Bing-Zhao Li
[J]. Circuits, Systems, and Signal Processing, 2022, 41 : 1324 - 1348
[7] A Modified Uncertainty Principle for Two-Sided Quaternion Fourier Transform
Bahri, Mawardi
[J]. ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2016, 26 (02) : 513 - 527
[8] A Modified Uncertainty Principle for Two-Sided Quaternion Fourier Transform
Mawardi Bahri
[J]. Advances in Applied Clifford Algebras, 2016, 26 : 513 - 527
[9] Uncertainty Principles for the Two-Sided Quaternion Windowed Quadratic-Phase Fourier Transform
Bhat, Mohammad Younus
Dar, Aamir Hamid
Nurhidayat, Irfan
Pinelas, Sandra
[J]. SYMMETRY-BASEL, 2022, 14 (12):
[10] On uncertainty principle for the two-sided quaternion linear canonical transform
Xiaoyu Zhu
Shenzhou Zheng
[J]. Journal of Pseudo-Differential Operators and Applications, 2021, 12

← 1 2 3 4 5 →