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Article Dans Une Revue Nonlinear Processes in Geophysics Année : 2012

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

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Résumé

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

Dates et versions

hal-00786101 , version 1 (07-02-2013)

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