URI http://ori.unit-c.fr/uid/unit-ori-wf-1-7149 Multiscale Analysis: Methods of Analysis (An Introduction to Complex Systems in Environment) fre We gave in the courses Multifractal the meaning of the universal multifractal (UM) parameters and , in this courses we will introduce some techniques of estimation of UM parameters based on the scale invariance property of geophysical fields. The first method is the Trace Moment (TM) method which uses the allows to estimate the statistical moment function in the first step and after that to estimate the UM parameters either by the geometrical characteristic of the function or by its mathematical proprieties. The second method, called the Double Trace Moment which is a generalization of the TM method will be introduced and some of its characteristics will be highlighted. We introduce also the Structure Function Analysis which allows us to study the statistics of a non conservative field and estimate the different scaling exponent. In this courses we will also introduce the Empirical Modal Decomposition in order to separate the effects of large scale on the smallest one, which can affect the estimation of the UM parameters. Module 8 of the course set "An Introduction to Complex Systems in Environment" complex systems in environment environmental engineering methods of analysis multifractal trace moments double trace moments ingénierie de l'environnement système complexe Probability Distribution Multiple Scaling Empirical Modal Decomposition 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-1-7150 LOMv1.0 LOMFRv1.0 SupLOMFRv1.0 text/html https://hmco.enpc.fr/UNIT_ComplexSystems/~gen/8_MultiscaleAnalysis_MethodsofAnalysis/8_MultiscaleAnalysis_MethodsofAnalysis_web.publi/web/co/8_MultiscaleAnalysis_MethodsofAnalysis_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