The Mystery of Gabor Frames

被引:0
|
作者
Karlheinz Gröchenig
机构
[1] University of Vienna,Faculty of Mathematics
关键词
Gabor frame; Time–frequency shift; Lattice;
D O I
暂无
中图分类号
学科分类号
摘要
This is a survey about the theory of Gabor frames. We review the structural results about Gabor frames over a lattice and then discuss the few known results about the fine structure of Gabor frames. We add a new result about the relation between properties of the window and properties of the frame set and conclude with a vision of how a more complete theory of the fine structure might look like.
引用
收藏
页码:865 / 895
页数:30
相关论文
共 50 条
  • [1] The Mystery of Gabor Frames
    Groechenig, Karlheinz
    JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2014, 20 (04) : 865 - 895
  • [2] The existence of tight Gabor duals for Gabor frames and subspace Gabor frames
    Han, Deguang
    JOURNAL OF FUNCTIONAL ANALYSIS, 2009, 256 (01) : 129 - 148
  • [3] Discrete Gabor frames and K-discrete Gabor frames
    Yu Tian
    Wei Zhang
    Hui-Fang Jia
    Annals of Functional Analysis, 2023, 14
  • [4] Discrete Gabor frames and K-discrete Gabor frames
    Tian, Yu
    Zhang, Wei
    Jia, Hui-Fang
    ANNALS OF FUNCTIONAL ANALYSIS, 2023, 14 (03)
  • [5] Partial Gabor frames and dual frames
    Tian, Yu
    Jia, Hui-Fang
    He, Guo-Liang
    INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING, 2022, 20 (01)
  • [6] IRREGULAR WAVELET FRAMES AND GABOR FRAMES
    Ole Christensen
    Analysis in Theory and Applications, 2001, (03) : 90 - 100
  • [7] Density of Gabor frames
    Christensen, O
    Deng, BQ
    Heil, C
    APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 1999, 7 (03) : 292 - 304
  • [8] Excesses of Gabor frames
    Balan, R
    Casazza, PG
    Heil, C
    Landau, Z
    APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2003, 14 (02) : 87 - 106
  • [9] A note on Gabor frames
    Kaushik, Shiv Kumar
    Panwar, Suman
    MATHEMATICAL COMMUNICATIONS, 2014, 19 (01) : 75 - 89
  • [10] IRREGULAR GABOR FRAMES
    Iglewska-Nowak, Ilona
    Holschneider, Matthias
    KYUSHU JOURNAL OF MATHEMATICS, 2013, 67 (01) : 237 - 247