Analysis of intrinsic mode functions: A PDE approach
Analyse des modes empiriques : une approche EDP
TypeArticles dans des revues avec comité de lecture
The empirical mode decomposition is a powerful tool for signal processing. Because of its original algorithmic, recent works have contributed to its theoretical framework. Following these works, some mathematical contributions on its comprehension and formalism are provided. In this paper, the so called local mean is computed in such a way that it allows the use of differential calculus on envelopes. This new formulation makes us prove that iterations of the sifting process are well approximated by the resolution of partial differential equations (PDE). Intrinsic mode functions are originally defined in a intuitive way. Herein, a mathematical characterization of modes is given with the proposed PDE based approach.
Showing items related by title, author, creator and subject.
BAY AHMED, Hadj Ahmed; KOMATY, Ali; DARE, Delphine; BOUDRAA, Abdel-Ouahab (2015)In this work a new denoising scheme based on the empirical mode decomposition associated with a frequency analysis is introduced. Compared to classical approaches where the extracted modes are thresholded in time domain, ...
Local frequency and envelope estimation by Teager-Kaiser energy operators in white-light scanning interferometry SALZENSTEIN, Fabien; MONTGOMERY, Paul; BOUDRAA, Abdel-Ouahab (Optical Society of America, 2014)In this work, a new method for surface extraction in white light scanning interferometry (WLSI) is introduced. The proposed extraction scheme is based on the Teager-Kaiser energy operator and its extended versions. This ...
KHALDI, Kais; BOUDRAA, Abdel-Ouahab (IEEE, 2013)In this paper a new adaptive audio watermarking algorithm based on Empirical Mode Decomposition (EMD) is introduced. The audio signal is divided into frames and each one is decomposed adaptively, by EMD, into intrinsic ...
KHALDI, Kais; TURKI, Monia; BOUDRAA, Abdel-Ouahab (World Scientific Publishing Company, 2010)In this paper a new method for voiced speech enhancement combining the Empirical Mode Decomposition (EMD) and the Adaptive Center Weighted Average (ACWA) filter is introduced. Noisy signal is decomposed adaptively into ...
BOUCHIKHI, Abdelkhalek; BOUDRAA, Abdel-Ouahab (Elsevier, 2012)In this paper a signal analysis framework for estimating time-varying amplitude and frequency functions of multicomponent amplitude and frequency modulated (AM–FM) signals is introduced. This framework is based on local ...