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Designing Gabor windows using convex opt...
Perraudin, Nathanaë...
Designing Gabor windows using convex optimization by Perraudin, Nathanaël ( Author )
Australian National University
01-09-2023
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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Article
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29.34 KB
English
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MYR 0.01
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http://arxiv.org/abs/1401.6033
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