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作者:

Zhang, Yan (Zhang, Yan.) | Li, Yun-Zhang (Li, Yun-Zhang.) (学者:李云章)

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摘要:

For a usual multiwindow Gabor system, all windows share common time-frequency shifts. A mixed multiwindow Gabor system is one of its generalizations, for which time-frequency shifts vary with the windows. This paper addresses subspace mixed multiwindow Gabor systems with rational time-frequency product lattices. It is a continuation of (Li and Zhang in Abstr. Appl. Anal. 2013: 357242, 2013; Zhang and Li in J. Korean Math. Soc. 51: 897-918, 2014). In (Li and Zhang in Abstr. Appl. Anal. 2013: 357242, 2013) we dealt with discrete subspace mixed Gabor systems and in (Zhang and Li in J. Korean Math. Soc. 51: 897-918, 2014) with L-2(R) ones. In this paper, using a suitable Zak transform matrix method, we characterize subspace mixed multiwindow Gabor frames and their Gabor duals, obtain explicit expressions of Gabor duals, and characterize the uniqueness of Gabor duals. We also provide some examples, which show that there exist significant differences between mixed multiwindow Gabor frames and usual multiwindow Gabor frames.

关键词:

Dual Gabor dual Gabor frame Mixed multiwindow Gabor frame Oblique dual

作者机构:

  • [ 1 ] [Zhang, Yan]North Minzu Univ, Sch Math & Informat Sci, Yinchuan, Peoples R China
  • [ 2 ] [Li, Yun-Zhang]Beijing Univ Technol, Coll Appl Sci, Beijing, Peoples R China

通讯作者信息:

  • [Zhang, Yan]North Minzu Univ, Sch Math & Informat Sci, Yinchuan, Peoples R China

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来源 :

JOURNAL OF INEQUALITIES AND APPLICATIONS

ISSN: 1029-242X

年份: 2018

1 . 6 0 0

JCR@2022

ESI学科: MATHEMATICS;

ESI高被引阀值:34

JCR分区:1

被引次数:

WoS核心集被引频次: 1

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ESI高被引论文在榜: 0 展开所有

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