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arxiv: 1308.2808 · v1 · pith:7MND3WAFnew · submitted 2013-08-13 · 💻 cs.IT · cs.NA· math.IT· math.NA

Discretized Gabor Frames of Totally Positive Functions

classification 💻 cs.IT cs.NAmath.ITmath.NA
keywords framesgaboreverygenerateslatticerectangularwindowsclass
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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.

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