Spectral Intrinsic Decomposition Method for Adaptive Signal Representation

Oumar Niang (1, 2, 3) , Abdoulaye Thioune (1) , Eric Deléchelle (1) , Jacques Lemoine (1)

1 LISSI - Laboratoire Images, Signaux et Systèmes Intelligents
2 LANI - Laboratoire d'Analyse Numérique et Informatique [Sénégal]
3 Ecole polytechnique de Thiès

In this paper we propose a new method called Spectral Intrinsic Decomposition (SID) for the representation of non-linear signals. This approach is based on the spectral decomposition of Partial Differential Equations (PDE)- based operators which interpolate the characteristic points of a signal. The SID's components which are the eigenvectors of these PDE interpolation operators underlie the new signal decomposition-reconstruction method. The usefulness and the efficiency of this method is illustrated, in signal reconstruction or denoising aim, on some examples using artifical and pathological signals.

Domaines: Autre

Oumar Niang, Abdoulaye Thioune, Eric Deléchelle, Jacques Lemoine. Spectral Intrinsic Decomposition Method for Adaptive Signal Representation. International Scholarly Research Notices, 2012, 2012, 10 p. ⟨10.5402/2012/457152⟩. ⟨hal-00833584⟩