Haar wavelets, fluctuations and structure functions: Convenient choices for geophysics

Abstract : Geophysical processes are typically variable over huge ranges of space-time scales. This has lead to the development of many techniques for decomposing series and fields into fluctuations Δν at well-defined scales. Classically, one defines fluctuations as differences: (Δν) diff = ν(x +Δx)-ν(x) and this is adequate for many applications (Δx is the "lag"). However, if over a range one has scaling Δν ∝ Δx H, these difference fluctuations are only adequate when 0
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Nonlinear Processes in Geophysics, European Geosciences Union (EGU), 2012, 19 (5), pp.513. 〈10.5194/npg-19-513-2012〉
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Soumis le : jeudi 7 février 2013 - 16:55:01
Dernière modification le : jeudi 22 mars 2018 - 22:34:50

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S. Lovejoy, D Schertzer. Haar wavelets, fluctuations and structure functions: Convenient choices for geophysics. Nonlinear Processes in Geophysics, European Geosciences Union (EGU), 2012, 19 (5), pp.513. 〈10.5194/npg-19-513-2012〉. 〈hal-00786101〉

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