(Min,+) Wavelets for Non-Linear Analysis

Authors

  • Abdelouahab Kenoufi SCORE, Scientific COnsulting for Research & Engineering, Strasbourg, FRANCE

DOI:

https://doi.org/10.11145/294

Abstract

For all function f: R^n --> 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).

Author Biography

Abdelouahab Kenoufi, SCORE, Scientific COnsulting for Research & Engineering, Strasbourg, FRANCE

Scientific Consultant

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Published

2014-04-20

Issue

Section

Conference Contributions