Signal processing by alternate dual Gabor frames

被引：40
|
作者：
Arefijamaal, Ali Akbar [1 ]
Zekaee, Esmaeel [1 ]
机构：
[1] Hakim Sabzevari Univ, Dept Math & Comp Sci, Sabzevar, Iran
来源：
APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS | 2013年 / 35卷 / 03期
关键词：
Gabor frame; Dual frame; Alternate dual frame; Signal denoising;
D O I：
10.1016/j.acha.2013.06.001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Duality principles in Gabor frame theory have a key roll in applications. Each dual frame enable us to write every element in the underlying Hilbert space as a linear combination of the frame elements. Canonical dual is used usually in this construction. In this article, it is proved that by using alternate duals we obtain more accurate results. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码：535 / 540
页数：6
相关论文
共 50 条
  • [31] Discrete Gabor frames and K-discrete Gabor frames
    Yu Tian
    Wei Zhang
    Hui-Fang Jia
    Annals of Functional Analysis, 2023, 14
  • [32] Discrete Gabor frames and K-discrete Gabor frames
    Tian, Yu
    Zhang, Wei
    Jia, Hui-Fang
    ANNALS OF FUNCTIONAL ANALYSIS, 2023, 14 (03)
  • [33] Randomized Signal Processing with Continuous Frames
    Ron Levie
    Haim Avron
    Journal of Fourier Analysis and Applications, 2022, 28
  • [34] Randomized Signal Processing with Continuous Frames
    Levie, Ron
    Avron, Haim
    JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2021, 28 (01)
  • [35] Frames for Signal Processing on Cayley Graphs
    Beck, Kathryn
    Ghandehari, Mahya
    Hudson, Skyler
    Paltenstein, Jenna
    JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2024, 30 (06)
  • [36] Approximately dual frames of nonstationary Gabor frames for l2(Z) and reconstruction errors
    Lian, Qiaofang
    You, Minghou
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 43 (11) : 6643 - 6662
  • [37] IRREGULAR WAVELET FRAMES AND GABOR FRAMES
    Ole Christensen
    Approximation Theory and Its Applications, 2001, (03) : 90 - 100
  • [38] Compactly supported multiwindow dual Gabor frames of rational sampling density
    Sumi Jang
    Byeongseon Jeong
    Hong Oh Kim
    Advances in Computational Mathematics, 2013, 38 : 159 - 186
  • [39] On entire functions restricted to intervals, partition of unities, and dual Gabor frames
    Christensen, Ole
    Kim, Hong Oh
    Kim, Rae Young
    APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2015, 38 (01) : 72 - 86
  • [40] Compactly supported multiwindow dual Gabor frames of rational sampling density
    Jang, Sumi
    Jeong, Byeongseon
    Kim, Hong Oh
    ADVANCES IN COMPUTATIONAL MATHEMATICS, 2013, 38 (01) : 159 - 186
12345