Gabor dual windows using convex optimization

Redundant Gabor frames admit an infinite number of dual frames, yet only the canonical dual Gabor system, con- structed from the minimal l2-norm dual window, is widely used. This window function however, might lack desirable properties, such as 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 show that alternate dual windows with considerably improved features can be found


Presented at:
10th international conference on Sampling Theory and Applications (SampTA 2013), Bremen, July, 2013
Year:
2013
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 Record created 2013-09-03, last modified 2018-03-17

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