A geometric construction of tight Gabor frames with multivariate compactly supported smooth windows
Functional Analysis
2010-11-01 v1 Classical Analysis and ODEs
Abstract
The geometry of fundamental domains of lattices was used by Han and Wang to construct multivariate Gabor frames for separable lattices. We build upon their results to obtain Gabor frames with smooth and compactly supported window functions. For this purpose we study pairs of lattices which have equal density and allow for a common compact and star-shaped fundamental domain. The results are then extended to a larger class of lattices via symplectic equivalence.
Cite
@article{arxiv.1010.6160,
title = {A geometric construction of tight Gabor frames with multivariate compactly supported smooth windows},
author = {Götz E. Pfander and Peter Rashkov and Yang Wang},
journal= {arXiv preprint arXiv:1010.6160},
year = {2010}
}