A Characterization of Multivariate Gaussian Weyl--Heisenberg Frames, (II)

preprint2010arXivOpen access

In a previous Note we established a necessary and sufficient condition for a multivariate Weyl--Heisenberg system G(ϕ,Λ) to be a frame when the window is a generalized Gaussian (squeezed coherent state) and Λ a rectangular lattice. In this Note we extend this result to lattices of the type $Λ=MZ^{2n}$ where M is a positive definite symmetric matrix.

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A Characterization of Multivariate Gaussian Weyl--Heisenberg Frames, (II)

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