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Signal Denoising with Harten’s Multiresolution Using Interpolation and Least Squares Fitting

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Advances in Differential Equations and Applications

Part of the book series: SEMA SIMAI Springer Series ((SEMA SIMAI,volume 4))

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Abstract

Harten’s multiresolution has been successfully applied to the signal compression using interpolatory reconstructions with nonlinear techniques. Here we study the applicability of these techniques to remove noise to piecewise smooth signals. We use two reconstruction types: interpolatory and least squares, and we introduce ENO and SR nonlinear techniques. The standard methods adaptation to noisy signals and the comparative of the different schemes are the subject of this paper.

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Notes

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Correspondence to Francesc Aràndiga .

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Aràndiga, F., Noguera, J.J. (2014). Signal Denoising with Harten’s Multiresolution Using Interpolation and Least Squares Fitting. In: Casas, F., Martínez, V. (eds) Advances in Differential Equations and Applications. SEMA SIMAI Springer Series, vol 4. Springer, Cham. https://doi.org/10.1007/978-3-319-06953-1_14

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