%0 Journal Article %T A Characterization of Multivariate Gaussian Weyl--Heisenberg Frames, (II) %A Maurice de Gosson %J Mathematics %D 2010 %I arXiv %X In a previous Note we established a necessary and sufficient condition for a multivariate Weyl--Heisenberg system G({\phi},{\Lambda}) to be a frame when the window is a generalized Gaussian (squeezed coherent state) and {\Lambda} a rectangular lattice. In this Note we extend this result to lattices of the type ${\Lambda}=MZ^{2n}$ where M is a positive definite symmetric matrix. %U http://arxiv.org/abs/1012.0528v2