UNIT

Sommaire

cours / présentation, exercice

Spectral Analysis (An Introduction to Complex Systems in Environment)

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 use...

Date de création :

14.04.2017

Auteur(s) :

Yacine MEZEMATE, Daniel SCHERTZER

Accéder à la ressource :

Présentation

Informations pratiques

Langue du document : Français
Type : cours / présentation, exercice
Niveau : enseignement supérieur, bac+3
Langues : Français
Contenu : texte, image, ressource interactive
Public(s) cible(s) : enseignant, apprenant, gestionnaire
Document : Document HTML
Droits d'auteur : pas libre de droits, gratuit
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).

Description de la ressource

Résumé

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"

  • Granularité : module
  • Structure : linéaire

"Domaine(s)" et indice(s) Dewey

  • Techniques sanitaires et urbaines : approvisionnement en eau (628.1)
  • Contrôle de la pollution et techniques d'hygiène industrielle : sites pollués, sols, air (628.5)
  • Déchets, pollutions, polluants, bruit (363.7)

Domaine(s)

  • Traitements de problèmes d'environnement
  • Traitements de problèmes d'environnement
  • Économie sociale
  • Problèmes d'environnement
  • Environnement

Informations techniques

  • Niveau d'interactivité du document : medium

Intervenants, édition et diffusion

Édition

  • Ecole des Ponts ParisTech
  • UNIT

Diffusion

Cette ressource vous est proposée par :UNIT - accédez au site internetUNIT - accédez au site internet

Document(s) annexe(s)

Fiche technique

Identifiant de la fiche : http://ori.unit-c.fr/uid/unit-ori-wf-1-7143
Identifiant OAI-PMH : oai:www.unit.eu:unit-ori-wf-1-7143
Schéma de la métadonnée : oai:uved:Cemagref-Marine-Protected-Areas
Entrepôt d'origine : UNIT

Publication : 14.04.2017

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)

Voir aussi

UNIT
UNIT
14.04.2017
Cascade phenomenology (An Introduction to Complex Systems in Environment)
Description : Multiplicative cascade processes are frequently used as phenomenological models for the study of a variety of complex systems exhibiting fractal/multifractal behavior. In particular the energy dissipation field of fully developed turbulent flows has been most successfully modeled in such terms, ...
  • complex systems in environment
  • environmental engineering
  • cascade phenomenology
  • multiplicative cascade model
  • intermittency
  • discrete cascade
  • auto-Similar spatial cascade
  • Self-affine cascade
  • ingénierie de l’environnement
  • système complexe
  • generalized scale invariance (GSI)
UNIT
UNIT
14.04.2017
An Introduction to Complex Systems in Environment
Description : The environment is a social issue that continues to grow in importance. Its complexity, both cross-disciplinary and multi-scale, has given rise to a large number of scientific and technological locks, that can be solved using a complex systems approaches. Through this courses we will give some e ...
  • complex systems in environment
  • environmental engineering
  • complex systems
  • dynamical systems
  • cascade phenomenology
  • spectral analysis
  • multiScale analysis
  • multifractal analysis
  • multiScale simulations
  • Extreme Value Theory
  • resilience
  • ingénierie de l’environnement
  • système complexe