7 citations · 17 across the 8 of their papers we have counts for
3 papers · 2 filters
Fractional order differentiation by integration with Jacobi polynomials
Da-Yan Liu, Olivier Gibaru, Wilfrid Perruquetti +1
The differentiation by integration method with Jacobi polynomials was originally introduced by Mboup, Join and Fliess. This paper generalizes this method from the integer order to…
Mathematical properties of a semi-classical signal analysis method: noisy signal case
Da-Yan Liu, Taous-Meriem Laleg-Kirati
Recently, a new signal analysis method based on a semi-classical approach has been proposed [1]. The main idea in this method is to interpret a signal as a potential of a Schroding…
Non-asymptotic fractional order differentiators via an algebraic parametric method
Dayan Liu, Olivier Gibaru, Wilfrid Perruquetti
Recently, Mboup, Join and Fliess [27], [28] introduced non-asymptotic integer order differentiators by using an algebraic parametric estimation method [7], [8]. In this paper, in o…