Designing Gabor windows using convex optimization

Autor: Perraudin, Nathanaël, Holighaus, Nicki, Søndergaard, Peter L., Balazs, Peter
Rok vydání: 2014
Předmět:
Druh dokumentu: Working Paper
Popis: Redundant Gabor frames admit an infinite number of dual frames, yet only the canonical dual Gabor system, constructed from the minimal l2-norm dual window, is widely used. This window function however, might lack desirable properties, e.g. good time-frequency concentration, small support or smoothness. We employ convex optimization methods to design dual windows satisfying the Wexler-Raz equations and optimizing various constraints. Numerical experiments suggest that alternate dual windows with considerably improved features can be found.
Databáze: arXiv