Convex Optimization approach to signals with fast varying instantaneous frequency - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2015

Convex Optimization approach to signals with fast varying instantaneous frequency

Résumé

Motivated by the limitation of analyzing oscillatory signals composed of multiple components with fast-varying instantaneous frequency, we approach the time-frequency analysis problem by optimization. Based on the proposed adaptive harmonic model, the time-frequency representation of a signal is obtained by directly minimizing a functional, which involves few properties an "ideal time-frequency representation" should satisfy, for example, the signal reconstruction and concentrative time frequency representation. FISTA (Fast Iterative Shrinkage-Thresholding Algorithm) is applied to achieve an efficient numerical approximation of the functional. We coin the algorithm as {\it Time-frequency bY COnvex OptimizatioN} (Tycoon). The numerical results confirm the potential of the Tycoon algorithm.
Fichier principal
Vignette du fichier
TycoonACHAfinal.pdf (1.11 Mo) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-01199615 , version 1 (15-09-2015)
hal-01199615 , version 2 (04-04-2016)

Identifiants

Citer

Matthieu Kowalski, Adrien Meynard, Hau-Tieng Wu. Convex Optimization approach to signals with fast varying instantaneous frequency. 2015. ⟨hal-01199615v1⟩
405 Consultations
332 Téléchargements

Altmetric

Partager

Gmail Mastodon Facebook X LinkedIn More