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
  • [11] On the stability of Gabor frames
    Sun, WC
    Zhou, XW
    ADVANCES IN APPLIED MATHEMATICS, 2001, 26 (03) : 181 - 191
  • [12] DEFORMATIONS OF GABOR FRAMES
    KAISER, G
    JOURNAL OF MATHEMATICAL PHYSICS, 1994, 35 (03) : 1372 - 1376
  • [13] The Feichtinger conjecture for wavelet frames, gabor frames and frames of translates
    Bownik, Marcin
    Speegle, Darrin
    CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2006, 58 (06): : 1121 - 1143
  • [14] The mystery of Carleson frames
    Christensen, Ole
    Hasannasab, Marzieh
    Philipp, Friedrich M.
    Stoeva, Diana
    Applied and Computational Harmonic Analysis, 2024, 72
  • [15] Gabor frames with Hermite functions
    Groechenig, Karlheinz
    Lyubarskii, Yurii
    COMPTES RENDUS MATHEMATIQUE, 2007, 344 (03) : 157 - 162
  • [16] Double preconditioning for Gabor frames
    Balazs, Peter
    Feichtinger, Hans G.
    Hampejs, Mario
    Kracher, Guenther
    IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2006, 54 (12) : 4597 - 4610
  • [17] PERTURBATION OF WAVELET AND GABOR FRAMES
    Ivana Carrizo
    Sergio Favier
    Analysis in Theory and Applications, 2003, (03) : 238 - 254
  • [18] Necessary conditions for Gabor frames
    Xian-liang SHI & Fang CHEN LMAM
    Science China Mathematics, 2007, (02) : 276 - 284
  • [19] Gabor Frames without Inequalities
    Groechenig, Karlheinz
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2007, 2007
  • [20] Discrete directional Gabor frames
    Czaja, Wojciech
    Manning, Benjamin
    Murphy, James M.
    Stubbs, Kevin
    APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2018, 45 (01) : 1 - 21