Designing Gabor windows using convex optimization

Nathanaël Perraudin, Nicki Holighaus, Peter L. Søndergaard and Peter Balazs

Applied Mathematics and Computation, 2018, vol. 330, issue C, 266-287

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: Short time Fourier transform; Dual window design; Tight window design; Convex optimization; Gabor system (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:330:y:2018:i:c:p:266-287

DOI: 10.1016/j.amc.2018.01.035

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