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Discretized Gabor Frames of Totally Positive Functions (1308.2808v1)
Published 13 Aug 2013 in cs.IT, math.IT, and math.NA
Abstract: In this paper a large class of universal windows for Gabor frames (Weyl-Heisenberg frames) is constructed. These windows have the fundamental property that every overcritical rectangular lattice generates a Gabor frame. Likewise, every undercritical rectangular lattice generates a Riesz sequence.