On optimal wavelet bases for the realization of microcanonical cascade processes

Abstract : Multiplicative cascades are often used to represent the structure of turbulence. Under the action of a multiplicative cascade, the relevant variables of the system can be understood as the result of a successive transfer of information in cascade from large to small scales. However, to make this cascade transfer explicit (i.e, being able to decompose each variable as the product of larger scale contributions) is only achieved when signals are represented in an optimal wavelet basis. Finding such a basis is a data-demanding, highly-complex task. In this paper we propose a formalism that allows to find the optimal wavelet of a signal in an efficient, little data-demanding way. We confirm the appropriateness of this approach by analyzing the results on synthetic signals constructed with prescribed optimal bases. We show the validity of our approach constrained to given families of wavelets, though it can be generalized for a continuous unconstrained search scheme.
Type de document :
Article dans une revue
International Journal of Wavelets Multiresolution and Information Processing, 2011, 9 (1), pp.35-61. 〈10.1142/S0219691311003943〉
Liste complète des métadonnées

Littérature citée [53 références]  Voir  Masquer  Télécharger

https://hal.inria.fr/inria-00582372
Contributeur : Oriol Pont <>
Soumis le : vendredi 1 avril 2011 - 11:19:05
Dernière modification le : mercredi 29 novembre 2017 - 15:11:19
Document(s) archivé(s) le : samedi 2 juillet 2011 - 02:37:18

Fichier

ijwmip2011.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

Collections

Citation

Oriol Pont, Antonio Turiel, Conrad Perez-Vicente. On optimal wavelet bases for the realization of microcanonical cascade processes. International Journal of Wavelets Multiresolution and Information Processing, 2011, 9 (1), pp.35-61. 〈10.1142/S0219691311003943〉. 〈inria-00582372〉

Partager

Métriques

Consultations de la notice

384

Téléchargements de fichiers

237