The Mystery of Gabor Frames

被引：0
|
作者：
Karlheinz Gröchenig
机构：
[1] University of Vienna,Faculty of Mathematics
来源：
Journal of Fourier Analysis and Applications | 2014年 / 20卷
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
  • [21] Gabor frames and operator algebras
    Gabardo, JP
    Han, DG
    Larson, DR
    WAVELET APPLICATIONS IN SIGNAL AND IMAGE PROCESSING VIII PTS 1 AND 2, 2000, 4119 : 337 - 345
  • [22] On perturbations of irregular Gabor frames
    Lakey, JD
    Wang, Y
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2003, 155 (01) : 111 - 129
  • [23] Gabor Frames for Model Sets
    Ewa Matusiak
    Journal of Fourier Analysis and Applications, 2019, 25 : 2570 - 2607
  • [24] Gabor frames with rational density
    Lyubarskii, Yurii
    Nes, Preben Graberg
    APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2013, 34 (03) : 488 - 494
  • [25] Gabor frames for rational functions
    Belov, Yurii
    Kulikov, Aleksei
    Lyubarskii, Yurii
    INVENTIONES MATHEMATICAE, 2023, 231 (02) : 431 - 466
  • [26] Gabor frames by sampling and periodization
    Peter L. Søndergaard
    Advances in Computational Mathematics, 2007, 27 : 355 - 373
  • [27] Gabor frames by sampling and periodization
    Sondergaard, Peter L.
    ADVANCES IN COMPUTATIONAL MATHEMATICS, 2007, 27 (04) : 355 - 373
  • [28] Approximations for Gabor and wavelet frames
    Han, DG
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 355 (08) : 3329 - 3342
  • [29] Irregular Gabor frames and their stability
    Sun, WC
    Zhou, XW
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 131 (09) : 2883 - 2893
  • [30] Necessary conditions for Gabor frames
    Shi, Xian-liang
    Chen, Fang
    SCIENCE IN CHINA SERIES A-MATHEMATICS, 2007, 50 (02): : 276 - 284
12345