Perraudin, NathanaelHolighaus, NickiSondergaard, Peter L.Balazs, Peter2018-12-132018-12-132018-12-132018-08-0110.1016/j.amc.2018.01.035https://infoscience.epfl.ch/handle/20.500.14299/152888WOS:000427814300022Redundant 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.Mathematics, AppliedMathematicsshort time fourier transformdual window designtight window designconvex optimizationgabor systemtime-frequency analysisperfect-reconstructionfourier-transformfilter bankssignal recoveryphase vocoderdual framesalgorithmssparsityspacetext::journal::journal article::research article