20 citations · 20 across the 9 of their papers we have counts for
9 papers
Logarithmic uncertainty principle for Clifford-wavelet transform
Sabrine Arfaoui, Hicham Banouh, Anouar Ben Mabrouk
The uncertainty principle constitutes one of the famous physical concepts which continues to attract researchers from different related fields since its discovery due to its utilit…
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…
Some Generalized Clifford-Jacobi Polynomials and Associated Spheroidal Wavelets
Sabrine Arfaoui, Anouar Ben Mabrouk
In the present paper, by extending some fractional calculus to the framework of Cliffors analysis, new classes of wavelet functions are presented. Firstly, some classes of monogeni…
Some Ultraspheroidal Monogenic Clifford Gegenbauer Jacobi Polynomials and Associated Wavelets
Sabrine Arfaoui, Anouar Ben Mabrouk
In the present paper, new classes of wavelet functions are presented in the framework of Clifford analysis. Firstly, some classes of orthogonal polynomials are provided based on 2-…
New type of monogenic polynomials and associated spheroidal wavelets
Sabrine Arfaoui, Anouar Ben Mabrouk
In the present work, new classes of wavelet functions are presented in the framework of Clifford analysis. Firstly, some classes of new monogenic polynomials are provided based on…