Designing Gabor windows using convex optimization
Numerical Analysis
2018-04-12 v4 Optimization and Control
Abstract
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.
Keywords
Cite
@article{arxiv.1401.6033,
title = {Designing Gabor windows using convex optimization},
author = {Nathanaël Perraudin and Nicki Holighaus and Peter L. Søndergaard and Peter Balazs},
journal= {arXiv preprint arXiv:1401.6033},
year = {2018}
}