数学物理学报(英文版)

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TWO CONDITIONS FOR NONUNIFORM GABOR FRAMES

刘有明   

  1. 北京工业大学应用数学系, 北京 100022
  • 收稿日期:2003-12-17 修回日期:1900-01-01 出版日期:2006-07-20 发布日期:2006-07-20
  • 通讯作者: 刘有明
  • 基金资助:

    The project is partially supported by a grant from Beijing Educational Committee (KM200410005013).

TWO CONDITIONS FOR NONUNIFORM GABOR FRAMES

Liu Youming   

  1. Department of Applied Mathematics, Beijing University of Technology, Beijing 100022, China
  • Received:2003-12-17 Revised:1900-01-01 Online:2006-07-20 Published:2006-07-20
  • Contact: Liu Youming

摘要:

A necessary condition is given for general nonuniform Gabor frames, which generalizes Benedetto and Walnut's theorem. A sufficient and necessary condition for a class of nonuniform Gabor frames is proved.

关键词: Wavelet, Gabor frame, density

Abstract:

A necessary condition is given for general nonuniform Gabor frames, which generalizes Benedetto and Walnut's theorem. A sufficient and necessary condition for a class of nonuniform Gabor frames is proved.

Key words: Wavelet, Gabor frame, density

中图分类号: 

  • 42C15