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摘要:
In this paper, we focus on the construction of Wilson frames and their dual frames for general lattices of volume 1/K (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 l(2)(Z). When the window function satisfies some symmetry property, we obtain a characterization of a Wilson system to be a tight frame for l(2)(Z), show that a Wilson frame for l(2)(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.
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通讯作者信息:
来源 :
INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING
ISSN: 0219-6913
年份: 2012
期: 5
卷: 10
1 . 4 0 0
JCR@2022
ESI学科: COMPUTER SCIENCE;
ESI高被引阀值:137
归属院系: