Designing Gabor windows using convex optimization

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.


Published in:
Applied Mathematics And Computation, 330, 266-287
Year:
Aug 01 2018
Publisher:
New York, ELSEVIER SCIENCE INC
ISSN:
0096-3003
1873-5649
Keywords:
Laboratories:




 Record created 2018-12-13, last modified 2020-10-29


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