UNCERTAINTY PRINCIPLES AND SIGNAL RECOVERY RELATED TO THE CANONICAL FOURIER-BESSEL TRANSFORM

doi:10.1007/s10473-025-0520-0

数学物理学报(英文版) ›› 2025, Vol. 45 ›› Issue (5): 2190-2207.doi: 10.1007/s10473-025-0520-0

UNCERTAINTY PRINCIPLES AND SIGNAL RECOVERY RELATED TO THE CANONICAL FOURIER-BESSEL TRANSFORM

Jihed SAHBANI^1,*, Lazhar DHAOUADI²

1. Faculty of Sciences of Bizerte, University of Carthage, 7021 Jarzouna, Bizerte, Tunisia;
2. Preparatory Institute for Engineering Studies of Bizerte, University of Carthage, 7021 Jarzouna, Bizerte, Tunisia

收稿日期:2024-01-17 修回日期:2024-09-09 出版日期:2025-09-25 发布日期:2025-10-14

UNCERTAINTY PRINCIPLES AND SIGNAL RECOVERY RELATED TO THE CANONICAL FOURIER-BESSEL TRANSFORM

Jihed SAHBANI^1,*, Lazhar DHAOUADI²

1. Faculty of Sciences of Bizerte, University of Carthage, 7021 Jarzouna, Bizerte, Tunisia;
2. Preparatory Institute for Engineering Studies of Bizerte, University of Carthage, 7021 Jarzouna, Bizerte, Tunisia

Received:2024-01-17 Revised:2024-09-09 Online:2025-09-25 Published:2025-10-14
Contact: ^*Jihed SAHBANI, E-mail: sahbanijihed0@gmail.com
About author:Lazhar DHAOUADI, E-mail: lazhardhaouadi@yahoo.fr

摘要/Abstract

摘要： The aim of this paper is to prove another variation on the Heisenberg uncertainty principle, we generalize the quantitative uncertainty relations in $n$ different (time-frequency) domains and we will give an algorithm for the signal recovery related to the canonical Fourier-Bessel transform.

关键词: Fourier Bessel transform, linear canonical transform, quantitative uncertainty principles, Heisenberg uncertainty principle, signal recovery

Abstract: The aim of this paper is to prove another variation on the Heisenberg uncertainty principle, we generalize the quantitative uncertainty relations in $n$ different (time-frequency) domains and we will give an algorithm for the signal recovery related to the canonical Fourier-Bessel transform.

Key words: Fourier Bessel transform, linear canonical transform, quantitative uncertainty principles, Heisenberg uncertainty principle, signal recovery

中图分类号:

33D15

Jihed SAHBANI, Lazhar DHAOUADI. UNCERTAINTY PRINCIPLES AND SIGNAL RECOVERY RELATED TO THE CANONICAL FOURIER-BESSEL TRANSFORM[J]. 数学物理学报(英文版), 2025, 45(5): 2190-2207.

Jihed SAHBANI, Lazhar DHAOUADI. UNCERTAINTY PRINCIPLES AND SIGNAL RECOVERY RELATED TO THE CANONICAL FOURIER-BESSEL TRANSFORM[J]. Acta mathematica scientia,Series B, 2025, 45(5): 2190-2207.

参考文献

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UNCERTAINTY PRINCIPLES AND SIGNAL RECOVERY RELATED TO THE CANONICAL FOURIER-BESSEL TRANSFORM

UNCERTAINTY PRINCIPLES AND SIGNAL RECOVERY RELATED TO THE CANONICAL FOURIER-BESSEL TRANSFORM

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