Spectral Analysis (An Introduction to Complex Systems in Environment)

Auteur(s) : Yacine MEZEMATE, Daniel SCHERTZER    2017-04-14,  2017-04-14  Éditeur(s) : Ecole des Ponts ParisTech   ENPC, UNIT   UNIT;     Description : We introduce in this lecture the spectral analysis which is based on the Fourier transform. The main objective of using this can of analysis in our studies is to check the scale invariance propriety of the studied field and also to identify the involved processes. The spectral analysis is widely used in fluid dynamics especially in turbulence field. We will show in this lesson that the spectrum of the studied field in log-log plot is characterized by a given slope which allows us to identify the involved process. We will start this lesson by an introduction to the Fourier transform and the discrete Fourier transform, after that we will mention some domain of application of the spectral analysis and we will finish by the identification of some process in geophysics. Module 5 of the course set "An Introduction to Complex Systems in Environment" Mots-clés libres : complex systems in environment, environmental engineering, spectral analysis, Fast Fourier transform FFT, Discrete Fourier transform DFT, Power spectral density, scaling analysis, système complexe, generalized scale invariance (GSI) Accès à la ressource : https://hmco.enpc.fr/UNIT_ComplexSystems/~gen/5_Sp... Conditions d'utilisation : Cet ensemble de supports pédagogiques est la propriété, à parts égales, d’UNIT et de l'École des Ponts ParisTech. Il est régi par la licence logicielle GPL, dans sa version française CeCILL (http://www.cecill.info/licences/Licence_CeCILL-V1_VF.pdf).

DONNEES PEDAGOGIQUES Type pédagogique : lecture, exercise Granularité : 4 Niveau : higher education, bac+3 Public cible : teacher, learner, manager Langue de l'apprenant : fre Niveau d'interactivité du document : medium DONNEES TECHNIQUES Format : text/html

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