TY - JOUR
T1 - A Geometric Construction of Tight Multivariate Gabor Frames with Compactly Supported Smooth Windows
AU - Pfander, Götz E.
AU - Rashkov, Peter
AU - Wang, Yang
PY - 2012/4
Y1 - 2012/4
N2 - Fundamental domains of pairs of lattices were 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. Our results are applicable, for example, if certain pairs of lattices with equal density allow for a common compact and star-shaped fundamental domain.
AB - Fundamental domains of pairs of lattices were 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. Our results are applicable, for example, if certain pairs of lattices with equal density allow for a common compact and star-shaped fundamental domain.
KW - Lattice tilings and packings
KW - Symplectic equivalence
KW - Time-frequency lattices
UR - https://www.webofscience.com/wos/woscc/full-record/WOS:000304148700002
UR - https://openalex.org/W1993719646
UR - https://www.scopus.com/pages/publications/84858752500
U2 - 10.1007/s00041-011-9198-x
DO - 10.1007/s00041-011-9198-x
M3 - Journal Article
SN - 1069-5869
VL - 18
SP - 223
EP - 239
JO - Journal of Fourier Analysis and Applications
JF - Journal of Fourier Analysis and Applications
IS - 2
ER -