Uncertainty principle for the two sided quaternion windowed Fourier transform

被引：19

作者：

Brahim, Kamel ^{[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 1060, Tunisia

来源：

JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS | 2020年 / 11卷 / 01期

关键词：

Quaternion Fourier transform; Quaternion windowed Fourier transform; The radar quaternion ambiguity function; Quaternion-Wigner transform; Uncertainty principle; AMBIGUITY FUNCTIONS;

D O I：

10.1007/s11868-019-00283-5

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 and prove the Beckner's uncertainty principle in term of entropy, Lieb uncertainty principle and the Heisenberg uncertainty principle for the quaternion windowed Fourier transform, the radar quaternion ambiguity function and the quaternion-Wigner transform.

引用

页码：159 / 185

页数：27

共 50 条

[1] 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
[2] Uncertainty principle for the two-sided quaternion windowed Fourier transform
Kamel, Brahim
Tefjeni, Emna
[J]. INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2019, 30 (05) : 362 - 382
[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] Uncertainty principle for the quaternion Fourier transform
Lian, Pan
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 467 (02) : 1258 - 1269

← 1 2 3 4 5 →