Spectral Intrinsic Decomposition Method for Adaptive Signal Representation. (13th December 2012)

• Record Type: Journal Article
• Authors: Niang, Oumar; Thioune, Abdoulaye; Deléchelle, Éric; Lemoine, Jacques
• Other Names: Hu C.-C. Academic Editor.; Wang K. Academic Editor.
• Is Part Of: ISRN signal processing. Volume 2012(2012)
• Publication Date: 2012-12-13
• Subjects: Signal processing -- Periodicals; Signal processing; Periodicals; 621.3822
• DOI: 10.5402/2012/457152
• Languages: English
• ISSNs: 2090-5041

Abstract

Abstract : We propose a new method called spectral intrinsic decomposition (SID) for the representation of nonlinear signals. This approach is based on the spectral decomposition of partial differential equation- (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, in some examples using artificial and pathological signals.