Feichtinger H. G.

Hardy G. H.

MINGHOU YOU

QIAOFANG LIAN

Wojdyłło P.

Young R. M.

YUNFANG LIAN

In this paper, we focus on the construction of Wilson frames and their dual frames for general lattices of volume [Formula: see text] (K even) in the discrete-time setting. We obtain a necessary and sufficient condition for two Bessel sequences having Wilson structure to be dual frames for l2(ℤ). When the window function satisfies some symmetry property, we obtain a characterization of a Wilson system to be a tight frame for l2(ℤ), show that a Wilson frame for l2(ℤ) can be derived from the underlying Gabor frame, and that the dual frame having Wilson structure can also be derived from the canonical Gabor dual of the underlying Gabor frame.</jats:p

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International Journal of Wavelets Multiresolution and Information Processing

DISCRETE-TIME WILSON FRAMES WITH GENERAL LATTICES

DISCRETE-TIME WILSON FRAMES WITH GENERAL LATTICES

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