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math.NA2012
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…
math.NA2012
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…