5 papers
Quantum solutions of a nonlinear Schrodinger equation
Sabrine Arfaoui
In the present paper, we precisely conduct a q-calculus method for the numerical solutions of PDEs. A nonlinear Schrodinger equation is considered. Instead of the classical discret…
Clifford wavelet transform and the associated Donoho-Stark's uncertainty Principle
Sabrine Arfaoui
This paper focuses on studying the Donoho-Stark's type uncertainty principle for the continuous Clifford wavelet transform. A brief review of Clifford algebra/analysis, Clifford wa…
Clifford wavelets for fetal ECG extraction
Malika Jallouli, Sabrine Arfaoui, Anouar Ben Mabrouk +1
Analysis of the fetal heart rate during pregnancy is essential for monitoring the proper development of the fetus. Current fetal heart monitoring techniques lack the accuracy in fe…
A quantum wavelet uncertainty principle
Sabrine Arfaoui, Maryam G Alshehri, Anouar Ben Mabrouk
The aim of this paper is to derive a new uncertainty principle for the generalized -Bessel wavelet transform studied earlier in \cite{Rezguietal}. In this paper, an uncertainty…
The Farey map exploited in wavelet analysis -- Construction of an associated Farey mother wavelet
Sabrine Arfaoui, Riadh Chteoui, Anouar Ben Mabrouk
In the present work the well known Farey map is exploited to consruct a new mother wavelet. Properties such as admissibility, moments, 2-scale relation and reconstruction rule have…