Sparse time-frequency distributions of chirps from a compressed sensing perspective

Patrick Flandrin (1) , Pierre Borgnat (1)

1 Phys-ENS - Laboratoire de Physique de l'ENS Lyon

Considering that multicomponent chirp signals are sparse in the time-frequency domain, it is possible to attach to them highly localized distributions thanks to a compressed sensing approach based on very few measurements in the ambiguity plane. The principle of the technique is described, with emphasis on the choice of the measurement subset for which an optimality criterion is proposed.

Mots clés: time-frequency analysis; compressed sensing

Domaines: Traitement du signal et de l'image [eess.SP]; Traitement du signal et de l'image [eess.SP]

Patrick Flandrin, Pierre Borgnat. Sparse time-frequency distributions of chirps from a compressed sensing perspective. 8th IMA International Conference on Mathematics in Signal Processing, IMA, Dec 2008, Cirencester, United Kingdom. ⟨ensl-00358777⟩