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Parsimonious representation of signals based on scattering transform

Abstract : A parsimonious representation of signals is a mathematic model parametrized with a small number of parameters. Such models are useful for analysis, interpolation, filtering, feature extraction, and data compression. A new parsimonious model is presented in this paper based on scattering transforms. It is closely related to the eigenvalues and eigenfunctions of the linear Schrödinger equation. The efficiency of this method is illustrated in this paper with examples of both synthetic and real signals.
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Michel Sorine, Qinghua Zhang, Taous-Meriem Laleg, Emmanuelle Crépeau. Parsimonious representation of signals based on scattering transform. 17th IFAC World Congress, Jul 2008, Seoul, South Korea. pp.12430-12435, ⟨10.3182/20080706-5-KR-1001.02104⟩. ⟨hal-00854784⟩



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