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arXiv · 1401.6033

Designing Gabor windows using convex optimization

Nathanaël Perraudin·Nicki Holighaus·Peter L. Søndergaard·Peter Balazs
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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.

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Nathanaël Perraudin, Nicki Holighaus, Peter L. Søndergaard, Peter Balazs. 2014-01-23. Designing Gabor windows using convex optimization. https://arxiv.org/abs/1401.6033

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