Spectral Intrinsic Decomposition Method for Adaptive Signal Representation

International audienceIn 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