TWO CONDITIONS FOR NONUNIFORM GABOR FRAMES

doi:10.1016/S0252-9602(06)60065-9

数学物理学报(英文版)

TWO CONDITIONS FOR NONUNIFORM GABOR FRAMES

刘有明

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

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/Abstract

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:

Key words: Wavelet, Gabor frame, density

中图分类号:

42C15

刘有明. TWO CONDITIONS FOR NONUNIFORM GABOR FRAMES[J]. 数学物理学报(英文版), 2006, 26(3): 415-420.

Liu Youming. TWO CONDITIONS FOR NONUNIFORM GABOR FRAMES[J]. Acta mathematica scientia,Series B, 2006, 26(3): 415-420.

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TWO CONDITIONS FOR NONUNIFORM GABOR FRAMES

TWO CONDITIONS FOR NONUNIFORM GABOR FRAMES

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