Testing Stationarity with Surrogates: A Time-Frequency Approach

Pierre Borgnat 1 Patrick Flandrin 1 Paul Honeine 2 Cédric Richard 3 Jun Xiao 1
1 Phys-ENS - Laboratoire de Physique de l'ENS Lyon
2 ICD - Institut Charles Delaunay
3 FIZEAU - Laboratoire Hippolyte Fizeau
Abstract : An operational framework is developed for testing stationarity relatively to an observation scale, in both stochastic and deterministic contexts. The proposed method is based on a comparison between global and local time-frequency features. The originality is to make use of a family of stationary surrogates for defining the null hypothesis of stationarity and to base on them two different statistical tests. The first one makes use of suitably chosen distances between local and global spectra, whereas the second one is implemented as a one-class classifier, the time-frequency features extracted from the surrogates being interpreted as a learning set for stationarity. The principle of the method and of its two variations is presented, and some results are shown on typical models of signals that can be thought of as stationary or nonstationary, depending on the observation scale used.
Keywords : Stationarity Test Time-Frequency Analysis Support Vector Machines One-Class Classification
Type de document :
Article dans une revue
IEEE Transactions on Signal Processing, Institute of Electrical and Electronics Engineers, 2010, pp.3459-3470. 〈10.1109/TSP.2010.2043971〉
Liste complète des métadonnées

Littérature citée [35 références]  Voir  Masquer  Télécharger
https://hal-ens-lyon.archives-ouvertes.fr/ensl-00475929
Contributeur : Pierre Borgnat <>
Soumis le : vendredi 23 avril 2010 - 13:12:56
Dernière modification le : mardi 29 mai 2018 - 12:50:51
Document(s) archivé(s) le : mardi 28 septembre 2010 - 13:21:34

Fichier

IEEE_TSP_surrogates_stationari...
Fichiers produits par l'(les) auteur(s)

Identifiants

Collections

INSU | UNICE | FIZEAU | OCA | ENS-LYON | UNIV-COTEDAZUR | UNIV-LYON1

Citation

Pierre Borgnat, Patrick Flandrin, Paul Honeine, Cédric Richard, Jun Xiao. Testing Stationarity with Surrogates: A Time-Frequency Approach. IEEE Transactions on Signal Processing, Institute of Electrical and Electronics Engineers, 2010, pp.3459-3470. 〈10.1109/TSP.2010.2043971〉. 〈ensl-00475929〉

Exporter

BibTeX TEI DC DCterms EndNote

Partager

Métriques

Consultations de la notice

365

Téléchargements de fichiers

252

Contact

support.ccsd.cnrs.fr
hal.support@ccsd.cnrs.fr
Logo CCSD