The canonical frame of a wavelet frame generated by two functions

被引:0
|
作者
Luo, Ping [1 ]
Guo, Ming-Pu [1 ]
机构
[1] Henan Vocat & Tech Coll Ind, Elementary Dept, Nanyang 473009, Peoples R China
关键词
frame operator; wavelet frame; the canonical wavelet frame; dual wavelet frame;
D O I
暂无
中图分类号
TP31 [计算机软件];
学科分类号
081202 ; 0835 ;
摘要
In this paper, we show that there exist wavelet frame generated by two functions which have good dual wavelet frames, but for which the canonical dual wavelet frame does not consist of wavelets. That is to say, the canonical dual wavelet frame cannot be generated by the translations and dilations of a single function.
引用
收藏
页码:1708 / 1712
页数:5
相关论文
共 50 条
  • [31] Unconditional Convergence for Wavelet Frame Expansions
    Lebedeva E.A.
    [J]. Journal of Mathematical Sciences, 2018, 234 (3) : 357 - 361
  • [32] Dynamic Frame Interpolation in Wavelet Domain
    Kong L.
    Jiang B.
    Luo D.
    Chu W.
    Tai Y.
    Wang C.
    Yang J.
    [J]. IEEE Transactions on Image Processing, 2023, 32 : 5296 - 5309
  • [33] On Normalized Tight Frame Wavelet Sets
    Srivastava, Swati
    [J]. KYUNGPOOK MATHEMATICAL JOURNAL, 2015, 55 (01): : 127 - 135
  • [34] The radial wavelet frame density estimator
    Trevino, E. S. Garcia
    Alarcon Aquino, V.
    Barria, J. A.
    [J]. COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2019, 130 : 111 - 139
  • [35] Wavelet frame operators and admissible frames
    Nambudiri, T. C. Easwaran
    Parthasarathy, K.
    [J]. ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2021, 14 (09)
  • [36] Tunable continuous wavelet and frame transforms
    Scholl, JF
    Barker, DL
    Schmitt, HA
    Langan, JD
    [J]. WAVELET APPLICATIONS IN SIGNAL AND IMAGE PROCESSING VIII PTS 1 AND 2, 2000, 4119 : 922 - 933
  • [37] A Brief Survey of the Graph Wavelet Frame
    Zhou, Jie
    Zhang, Zeze
    [J]. COMPLEXITY, 2022, 2022
  • [38] Some Characterizations of Parseval Frame Wavelet
    Wu, Guochang
    Wang, Junmin
    [J]. PROCEEDINGS OF THE 2009 INTERNATIONAL CONFERENCE ON COMPUTATIONAL INTELLIGENCE AND NATURAL COMPUTING, VOL II, 2009, : 530 - 533
  • [39] On the splitting trick and wavelet frame packets
    Chen, DR
    [J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2000, 31 (04) : 726 - 739
  • [40] Sampling in a Union of Frame Generated Subspaces
    Magalí Anastasio
    Carlos Cabrelli
    [J]. Sampling Theory in Signal and Image Processing, 2009, 8 (3): : 261 - 286