Discretized Gabor Frames of Totally Positive Functions
Information Theory
2013-08-14 v1 math.IT
Numerical Analysis
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.
Cite
@article{arxiv.1308.2808,
title = {Discretized Gabor Frames of Totally Positive Functions},
author = {Severin Bannert and Karlheinz Gröchenig and Joachim Stöckler},
journal= {arXiv preprint arXiv:1308.2808},
year = {2013}
}
Comments
18 pages, 3 figures