URI http://ori.unit-c.fr/uid/unit-ori-wf-1-7143 Spectral Analysis (An Introduction to Complex Systems in Environment) fre 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" 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) LOMv1.0 linear LOMv1.0 4 LOMv1.0 texte LOMv1.0 image LOMv1.0 ressource interactive LOMv1.0 author BEGIN:VCARD VERSION:3.0 N:MEZEMATE;Yacine;;; FN:Yacine MEZEMATE EMAIL;TYPE=INTERNET: ORG:Ecole des Ponts ParisTech END:VCARD 2017-04-14 LOMv1.0 author BEGIN:VCARD VERSION:3.0 N:SCHERTZER;Daniel;;; FN:Daniel SCHERTZER EMAIL;TYPE=INTERNET: ORG:Ecole des Ponts ParisTech END:VCARD 2017-04-14 LOMv1.0 publisher BEGIN:VCARD VERSION:3.0 N:Ecole des Ponts ParisTech;;;; FN:Ecole des Ponts ParisTech EMAIL;TYPE=INTERNET: ORG:ENPC END:VCARD 2017-04-14 LOMv1.0 publisher BEGIN:VCARD VERSION:3.0 N:UNIT;;;; FN:UNIT EMAIL;TYPE=INTERNET: ORG:UNIT END:VCARD 2017-04-14 URI http://ori.unit-c.fr/uid/unit-ori-wf-1-7144 LOMv1.0 LOMFRv1.0 SupLOMFRv1.0 text/html https://hmco.enpc.fr/UNIT_ComplexSystems/~gen/5_SpectralAnalysis/5_SpectralAnalysis_web.publi/web/co/5_SpectralAnalysis_web.html LOMv1.0 lecture LOMv1.0 exercise LOMv1.0 medium LOMv1.0 teacher LOMv1.0 learner LOMv1.0 manager LOMv1.0 higher education SupLOMFRv1.0 bac+3 fre LOMv1.0 no LOMv1.0 yes 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). LOMv1.0 ispartof URI https://hmco.enpc.fr/complex-systems/ An Introduction to Complex Systems in Environment LOMv1.0 discipline Classification UNIT 104 Traitements de problèmes d'environnement Classification UNIT 103 Problèmes d'environnement LOMv1.0 discipline CDD 22e éd. 628.1 Techniques sanitaires et urbaines : approvisionnement en eau CDD 22e éd. 628.5 Contrôle de la pollution et techniques d'hygiène industrielle : sites pollués, sols, air CDD 22e éd. 363.7 Déchets, pollutions, polluants, bruit LOMv1.0 security level Projet OCW France tag-ocw Catalogue OCWC home-example unit-cofinance