Two conditions for nonuniform Gabor frames

被引：0
作者：
Liu Youming [1 ]
机构：
[1] Beijing Univ Technol, Dept Appl Math, Beijing 100022, Peoples R China
来源：
ACTA MATHEMATICA SCIENTIA | 2006年 / 26卷 / 03期
关键词：
wavelet; Gabor frame; density;
D O I：
10.1016/S0252-9602(06)60065-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A necessary condition is given for general nonuniform Gabor frames, which generalizes Benedetto and Walnut's theorem. A sufficient and necessary condition for a class of nonuniform Gabor frames is proved.
引用
收藏
页码：415 / 420
页数：6
相关论文
共 50 条
  • [21] Gabor-Type Frames for Signal Processing on Graphs
    Ghandehari, Mahya
    Guillot, Dominique
    Hollingsworth, Kris
    JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2021, 27 (02)
  • [22] GABOR FRAMES IN l2(Z) FROM GABOR FRAMES IN L2(R)
    Thomas, Jineesh
    Namboothiri, Madhavan N. M.
    Varghese, Eldo
    KOREAN JOURNAL OF MATHEMATICS, 2020, 28 (04): : 877 - 888
  • [23] Nonstationary Gabor frames - approximately dual frames and reconstruction errors
    Doerfler, Monika
    Matusiak, Ewa
    ADVANCES IN COMPUTATIONAL MATHEMATICS, 2015, 41 (02) : 293 - 316
  • [24] Hyperbolic secants yield Gabor frames
    Janssen, AJEM
    Strohmer, T
    APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2002, 12 (02) : 259 - 267
  • [25] PROJECTIONS IN NONCOMMUTATIVE TORI AND GABOR FRAMES
    Luef, Franz
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2011, 139 (02) : 571 - 582
  • [26] An Interplay between Gabor and Wilson Frames
    Kaushik, S. K.
    Panwar, Suman
    JOURNAL OF FUNCTION SPACES AND APPLICATIONS, 2013,
  • [27] GABOR FRAMES AND TOTALLY POSITIVE FUNCTIONS
    Groechenig, Karlheinz
    Stoeckler, Joachim
    DUKE MATHEMATICAL JOURNAL, 2013, 162 (06) : 1003 - 1031
  • [28] Gabor frames, unimodularity, and window decay
    Bölcskei, H
    Janssen, AJEM
    JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2000, 6 (03) : 255 - 276
  • [29] Gabor frames on a half-line
    Shah, F. A.
    JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES, 2012, 47 (05): : 251 - 260
  • [30] Implementation of Discretized Gabor Frames and Their Duals
    Kloos, Tobias
    Stoeckler, Joachim
    Groechenig, Karlheinz
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2016, 62 (05) : 2759 - 2771
12345