The canonical dual frame of a wavelet frame

被引：55
|
作者：
Daubechies, I [1 ]
Han, B [1 ]
机构：
[1] Princeton Univ, Dept Math, PACM, Princeton, NJ 08544 USA
来源：
APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS | 2002年 / 12卷 / 03期
基金：
加拿大自然科学与工程研究理事会; 美国国家科学基金会;
关键词：
wavelet frame; the canonical dual frame; dual wavelet frame;
D O I：
10.1006/acha.2002.0381
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we show that there exist wavelet frames that have nice dual wavelet frames, but for which the canonical dual frame does not consist of wavelets, i.e., cannot be generated by the translates and dilates of a single function. (C) 2002 Elsevier Science (USA).
引用
收藏
页码：269 / 285
页数：17
相关论文
共 50 条
  • [1] The canonical frame of a wavelet frame generated by two functions
    Luo, Ping
    Guo, Ming-Pu
    [J]. 2007 INTERNATIONAL CONFERENCE ON WAVELET ANALYSIS AND PATTERN RECOGNITION, VOLS 1-4, PROCEEDINGS, 2007, : 1708 - 1712
  • [2] The canonical and alternate duals of a wavelet frame
    Bownik, Marcin
    Lemvig, Jakob
    [J]. APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2007, 23 (02) : 263 - 272
  • [3] GENERALIZATION OF THE FRAME OPERATOR AND THE CANONICAL DUAL FRAME TO BANACH SPACES
    Stoeva, Diana T.
    [J]. ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2008, 1 (04) : 631 - 643
  • [4] The Standard Dual Frame of a Wavelet Frame Generated by Two Functions
    Zhou, Jianfeng
    Li, Tizheng
    [J]. ICNC 2008: FOURTH INTERNATIONAL CONFERENCE ON NATURAL COMPUTATION, VOL 4, PROCEEDINGS, 2008, : 277 - +
  • [5] Construction and Properties of Dual Canonical Frames of a Trivariate Wavelet Frame with Multi-scale
    Xia, Yinhong
    Tang, Xiong
    [J]. ADVANCES IN FUTURE COMPUTER AND CONTROL SYSTEMS, VOL 2, 2012, 160 : 519 - 524
  • [6] A note on the standard dual frame of a wavelet frame with three-scale
    Chen, Qingjiang
    Wei, Zongtian
    Feng, Jinshun
    [J]. CHAOS SOLITONS & FRACTALS, 2009, 42 (02) : 931 - 937
  • [7] Dual Wavelet Frame Transforms on Manifolds and Graphs
    Cui, Lihong
    Wu, Qiaoyun
    Liu, Jiale
    Sun, Jianjun
    [J]. JOURNAL OF MATHEMATICS, 2019, 2019
  • [8] Construction of dual wavelet frame pairs and signal recovery
    Arefijamaal A.A.
    Arabyani Neyshaburi F.
    Matindoost S.
    [J]. SeMA Journal, 2019, 76 (1) : 27 - 36
  • [9] Frame Wavelets of Local Fields with No Dual Wavelet Frames
    Biswaranjan Behera
    [J]. Complex Analysis and Operator Theory, 2023, 17
  • [10] Frame Wavelets of Local Fields with No Dual Wavelet Frames
    Behera, Biswaranjan
    [J]. COMPLEX ANALYSIS AND OPERATOR THEORY, 2023, 17 (02)
12345