Nonstationary Gabor Frames

Florent Jaillet (1) , Peter Balazs (1) , Monika Dörfler (1)

1 ARI - Acoustics Research Institute

To overcome the limitation induced by the fixed time-frequency resolution over the whole time-frequency plane of Gabor frames, we propose a simple extension of the Gabor theory leading to the construction of frames with time-frequency resolution evolving over time or frequency. We describe the construction of such frames and give the explicit formulation of the canonical dual frame for some conditions. We illustrate the interest of the method on a simple example.

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

Florent Jaillet, Peter Balazs, Monika Dörfler. Nonstationary Gabor Frames. SAMPTA'09, May 2009, Marseille, France. pp.General session. ⟨hal-00453178⟩