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

Authors

  • Abdelouahab KENOUFI University Of Strasbourg
  • Michel GONDRAN University Paris Dauphine, Paris

DOI:

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

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).

Author Biographies

Abdelouahab KENOUFI, University Of Strasbourg

Scientific Consulting for Research and Engineering, Mulhouse

Michel GONDRAN, University Paris Dauphine, Paris

LAMSADE

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Published

2014-01-27

How to Cite

KENOUFI, A., & GONDRAN, M. (2014). Numerical calculations of Hölder exponents for the Weierstrass functions with (min,+)-wavelets. Trends in Computational and Applied Mathematics, 15(3), 261–273. https://doi.org/10.5540/tema.2014.015.03.0261

Issue

Vol. 15 No. 3 (2014)

Section

Original Article

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