Acta mathematica scientia,Series B ›› 2025, Vol. 45 ›› Issue (5): 2190-2207.doi: 10.1007/s10473-025-0520-0

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

Jihed SAHBANI1,*, Lazhar DHAOUADI2   

  1. 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

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

CLC Number: 

  • 33D15
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