数学季刊 ›› 2009, Vol. 24 ›› Issue (2): 227-233.

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L2(R)上Gabor框架的简单构造

  

  1. 1. School of Mathematics and Statistics, Wuhan University2. Base Department, Zhengzhou Tourism College

  • 收稿日期:2007-04-15 出版日期:2009-06-30 发布日期:2023-07-21
  • 作者简介: LU Da-yong(1974-), male, native of Kaifeng, Henan, Ph.D., engaged in wavelet analysis, frame theorem and image processing.
  • 基金资助:
     Supported by Henan Province Education Department Natural Science Foundation of China(2008B510001)；

A Simple Construction of Gabor Frames for L2(R)

  1. 1. School of Mathematics and Statistics, Wuhan University2. Base Department, Zhengzhou Tourism College
  • Received:2007-04-15 Online:2009-06-30 Published:2023-07-21
  • About author: LU Da-yong(1974-), male, native of Kaifeng, Henan, Ph.D., engaged in wavelet analysis, frame theorem and image processing.
  • Supported by:
     Supported by Henan Province Education Department Natural Science Foundation of China(2008B510001)；

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摘要： In this paper, we give a method which allows us to construct a class of Parseval frames for L2(R) from Fourier frame for L2(I). The result shows that the function which generates a Gabor frame by translations and modulations has "good" properties, i.e., it is sufficiently smooth and compactly supported.

关键词: Gabor frame, Fourier frame, Parseval frame, bell function

Abstract: In this paper, we give a method which allows us to construct a class of Parseval frames for L2(R) from Fourier frame for L2(I). The result shows that the function which generates a Gabor frame by translations and modulations has "good" properties, i.e., it is sufficiently smooth and compactly supported.

Key words: Gabor frame, Fourier frame, Parseval frame, bell function

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