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作者:

Lian, Qiaofang (Lian, Qiaofang.) | Lian, Yunfang (Lian, Yunfang.) | You, Minghou (You, Minghou.)

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EI Scopus SCIE

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.

关键词:

dual frame Gabor frame general lattice Wilson frame Wilson system

作者机构:

  • [ 1 ] [Lian, Qiaofang]Beijing Jiaotong Univ, Dept Math, Beijing 100044, Peoples R China
  • [ 2 ] [Lian, Yunfang]Beijing Jiaotong Univ, Dept Math, Beijing 100044, Peoples R China
  • [ 3 ] [You, Minghou]Beijing Univ Technol, Pilot Coll, Beijing 101101, Peoples R China

通讯作者信息:

  • [You, Minghou]Beijing Univ Technol, Pilot Coll, Beijing 101101, Peoples R China

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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

被引次数:

WoS核心集被引频次: 2

SCOPUS被引频次: 3

ESI高被引论文在榜: 0 展开所有

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中文被引频次:

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