The Properties of Vector-valued Higher-dimensional Wavelet Packets

被引：0
|
作者：
Wang Xiao-feng [1 ]
Luo Ping [2 ]
机构：
[1] Pingdinoshan Inst Technol, Dept Elementary Sci, Pingdingshan 467001, Peoples R China
[2] Henan Polytech Inst, Dept Elementary Sci, Nanyang 473009, Peoples R China
来源：
ICNC 2008: FOURTH INTERNATIONAL CONFERENCE ON NATURAL COMPUTATION, VOL 4, PROCEEDINGS | 2008年
关键词：
D O I：
10.1109/ICNC.2008.182
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper we introduce a class of vector-valued wavelet packets of space L-2 (R-d, R-u), which are generalizations of multivariate wavelet packets. A procedure for constructing a class of biorthogonal vector-valued wavelet packets in higher dimensions is presented and their biorthogonality properties are characterized by virtue of matrix theory, time-frequency analysis method and operator theory. Three biorthogonality formulas regarding these wavelet packets are derived. Moreover it is shown how to gain new Riesz bases of space L-2 (R-d, R-u) from these wavelet packets.
引用
收藏
页码：272 / +
页数：2
相关论文
共 50 条
  • [1] The Presentation of the Properties of Vector-valued Higher-dimensional Wavelet Packets with Three-scale
    Hua, Delin
    Wu, Hong-e
    PROCEEDINGS OF THE 2009 WRI GLOBAL CONGRESS ON INTELLIGENT SYSTEMS, VOL IV, 2009, : 543 - +
  • [2] HIGHER-DIMENSIONAL ORTHONORMAL VECTOR-VALUED WAVELET PACKET BASES
    Luo, Ping
    Du, Jian-Gen
    PROCEEDINGS OF 2008 INTERNATIONAL CONFERENCE ON WAVELET ANALYSIS AND PATTERN RECOGNITION, VOLS 1 AND 2, 2008, : 602 - 606
  • [3] The properties of orthogonal vector-valued wavelet packets in higher dimensions
    Chen, Qing-Jiang
    Mang, Tong-Qi
    WAVELET ACTIVE MEDIA TECHNOLOGY AND INFORMATION PROCESSING, VOL 1 AND 2, 2006, : 135 - +
  • [4] The Properties of Biorthogonal Vector-valued Bivariate Wavelet Packets
    Wang, Junqiu
    Wang, Jian-Guo
    PROCEEDINGS OF THE 2009 WRI GLOBAL CONGRESS ON INTELLIGENT SYSTEMS, VOL IV, 2009, : 547 - 551
  • [5] On orthogonal vector-valued wavelet packets
    Luo, Ping
    Feng, Jin-Shun
    Feng, Jin-Shun
    WAVELET ACTIVE MEDIA TECHNOLOGY AND INFORMATION PROCESSING, VOL 1 AND 2, 2006, : 62 - +
  • [6] Vector-Valued Nonuniform Wavelet Packets
    Mittal, Meenakshi
    Manchanda, P.
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2018, 39 (02) : 179 - 200
  • [7] The Research of orthogonal vector-valued wavelet packets
    Wang, Hui
    Song, Suluo
    CCDC 2009: 21ST CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-6, PROCEEDINGS, 2009, : 1258 - +
  • [8] An Investigation into Vector-valued Multivariate Wavelet Packets
    Luo, Ping
    Li, Juanfei
    2009 WRI WORLD CONGRESS ON SOFTWARE ENGINEERING, VOL 4, PROCEEDINGS, 2009, : 406 - +
  • [9] Characteristics of a class of vector-valued non-separable higher-dimensional wavelet packet bases
    Chen Qing-Jiang
    Qu Xiao-Gang
    CHAOS SOLITONS & FRACTALS, 2009, 41 (04) : 1676 - 1683
  • [10] The properties of a class of biorthogonal vector-valued nonseparable bivariate wavelet packets
    Zhou, Jianfeng
    Song, Deyao
    CHAOS SOLITONS & FRACTALS, 2009, 41 (05) : 2226 - 2233
12345