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

下载

页码：159 / 185

页数：27

共 50 条

[31] Paley-Wiener Theorems for the Two-Sided Quaternion Fourier Transform
Hatem Mejjaoli
Advances in Applied Clifford Algebras, 2017, 27 : 1611 - 1631
[32] General two-sided quaternion Fourier transform, convolution and Mustard convolution
Eckhard Hitzer
Advances in Applied Clifford Algebras, 2017, 27 : 381 - 395
[33] A NEW FORM OF PLANCHEREL THEOREM FOR TWO-SIDED QUATERNION FOURIER TRANSFORM
Bahri, Mawardi
Ashino, Ryuichi
PROCEEDINGS OF 2022 INTERNATIONAL CONFERENCEON WAVELET ANALYSIS AND PATTERN RECOGNITION (ICWAPR), 2022, : 31 - 34
[34] General two-sided quaternion Fourier transform, convolution and Mustard convolution
Hitzer, Eckhard
ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2017, 27 (01) : 381 - 395
[35] Paley-Wiener Theorems for the Two-Sided Quaternion Fourier Transform
Mejjaoli, Hatem
ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2017, 27 (02) : 1611 - 1631
[36] An uncertainty principle for the windowed Bochner-Fourier transform with the complex-valued window function
Yaremenko, Mykola Ivanovich
JOURNAL OF APPLIED ANALYSIS, 2024,
[37] Uncertainty principles related to quaternionic windowed Fourier transform
Bahri, Mawardi
Ashino, Ryuichi
INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING, 2020, 18 (03)
[38] Uncertainty principles for windowed coupled fractional Fourier transform
Bahri, Mawardi
Syamsuddin, Fitriyani
Bachtiar, Nasrullah
Amir, Amir Kamal
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024, 47 (09) : 7418 - 7437
[39] Uncertainty principles for the fractional quaternion fourier transform
Fatima Elgadiri
Abdellatif Akhlidj
Journal of Pseudo-Differential Operators and Applications, 2023, 14
[40] Uncertainty principles for the fractional quaternion fourier transform
Elgadiri, Fatima
Akhlidj, Abdellatif
JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2023, 14 (04)

← 1 2 3 4 5 →