Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4605283 | Applied and Computational Harmonic Analysis | 2011 | 10 Pages |
Abstract
We investigate Gabor frames with Gaussian windows in higher dimensions. This problem is equivalent to a sampling problem in Bargmann–Fock space. In contrast to dimension d=1, the frame property is no longer characterized by the density of the lattice. We give sufficient conditions for complex lattices to generate a multivariate Gabor frame with a Gaussian window.
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