(min,+)-wavelets for non-linear analysis
Abdelouahab Kenoufi, Michel Gondran · TEMA (São Carlos) · 2014
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).