Numerical calculations of Hölder exponents for the Weierstrass functions with (min,+)-wavelets

Abdelouahab KENOUFI, Michel GONDRAN

Abstract


For all function f : Rn to R one introduces (min; +)-wavelets which are lower and upper hulls build from (min; +) analysis.One shows at theoretical level and on numerical applications for the Weierstrass functions, that (min, +)-wavelets decomposition opens a non-linear branch to the multi-resolution analysis of a signal, in particular for the Hölder exponents calculation and Empirical Mode Decomposition (EMD).

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DOI: https://doi.org/10.5540/tema.2014.015.03.0261

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