A geometric construction of tight Gabor frames with multivariate compactly supported smooth windows

Details A geometric construction of tight Gabor frames with multivariate compactly supported smooth windows A geometric construction of tight Gabor frames with multivariate compactly supported smooth windows

2010-10-29

arxiv.org/abs/1010.6160v1

Mathematics

Functional Analysis

Scientific paper

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.

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