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
  • [31] Gabor frames by sampling and periodization
    Sondergaard, Peter L.
    ADVANCES IN COMPUTATIONAL MATHEMATICS, 2007, 27 (04) : 355 - 373
  • [32] Irregular Gabor frames and their stability
    Sun, WC
    Zhou, XW
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 131 (09) : 2883 - 2893
  • [33] Approximations for Gabor and wavelet frames
    Han, DG
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 355 (08) : 3329 - 3342
  • [34] Necessary conditions for Gabor frames
    Shi, Xian-liang
    Chen, Fang
    SCIENCE IN CHINA SERIES A-MATHEMATICS, 2007, 50 (02): : 276 - 284
  • [35] Gabor Frames for Model Sets
    Matusiak, Ewa
    JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2019, 25 (05) : 2570 - 2607
  • [36] Inequalities for irregular Gabor frames
    Zang, Lili
    Sun, Wenchang
    MONATSHEFTE FUR MATHEMATIK, 2008, 154 (01): : 71 - 81
  • [37] Necessary conditions for Gabor frames
    Xian-liang Shi
    Fang Chen
    Science in China Series A: Mathematics, 2007, 50 : 276 - 284
  • [38] A note on modified Gabor frames
    Bagarello, F
    NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 2001, 116 (02): : 127 - 135
  • [39] Inequalities for irregular Gabor frames
    Lili Zang
    Wenchang Sun
    Monatshefte für Mathematik, 2008, 154 : 71 - 81
  • [40] Dimension invariance of finite frames of translates and Gabor frames
    Cahill, Jameson
    Li, Shidong
    ADVANCES IN COMPUTATIONAL MATHEMATICS, 2012, 37 (04) : 505 - 520