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Designing Gabor windows using convex optimization
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DOI：10.1016/j.amc.2018.01.035.png)
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Abstract
En 中文
Redundant Gabor frames admit an infinite number of dual frames, yet only the canonical dual Gabor system, constructed from the minimal l(2)-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. (C) 2018 Elsevier Inc. All rights reserved.
Keywords:
Short time Fourier transform
Dual window design
Tight window design
Convex optimization
Gabor system
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