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
  • [1] IMAGE PROCESSING BY ALTERNATE DUAL GABOR FRAMES
    Arefijamaal, A.
    Zekaee, E.
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2016, 42 (06): : 1305 - 1314
  • [2] Gabor-Type Frames for Signal Processing on Graphs
    Mahya Ghandehari
    Dominique Guillot
    Kris Hollingsworth
    Journal of Fourier Analysis and Applications, 2021, 27
  • [3] Gabor-Type Frames for Signal Processing on Graphs
    Ghandehari, Mahya
    Guillot, Dominique
    Hollingsworth, Kris
    JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2021, 27 (02)
  • [4] Partial Gabor frames and dual frames
    Tian, Yu
    Jia, Hui-Fang
    He, Guo-Liang
    INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING, 2022, 20 (01)
  • [5] The effect of perturbations of frames on their alternate and approximately dual frames
    Javanshiri, Hossein
    Hajiabootorabi, Mahin
    Mardanbeigi, Mohammad R.
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 45 (04) : 2058 - 2071
  • [6] On compactly supported dual windows of Gabor frames
    Stoeva, Diana T.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 505 (01)
  • [7] Gabor Dual Frames with Characteristic Function Window
    Fard, Mohammad Ali Hasankhani
    SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, 2021, 18 (01): : 47 - 57
  • [8] A Class of General Multi-Window Gabor Frames and Its (Weak) Gabor Dual Frames
    Zhang, Y.
    Wang, Y. -p.
    MATHEMATICAL NOTES, 2024, 116 (1-2) : 356 - 372
  • [9] Gabor frames with trigonometric spline dual windows
    Kim, Inrni
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2015, 8 (04)
  • [10] Characterization of rationally sampled quaternionic dual Gabor frames
    Li, Yun-Zhang
    Zhang, Xiao-Li
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024, 47 (02) : 1095 - 1112
12345