A STUDY OF MULTIPLE VECTOR-VALUED WAVELET PACKETS ASSO-CIATED WITH A DILATION MATRIX IN HIGHER DIMENSIONS

被引：0
|
作者：
Feng, Jin-Shun [1 ]
Wang, Hui [1 ]
机构：
[1] Nanyang Inst Technol, Sch Educ, Nanyang 473000, Peoples R China
来源：
PROCEEDINGS OF 2008 INTERNATIONAL CONFERENCE ON WAVELET ANALYSIS AND PATTERN RECOGNITION, VOLS 1 AND 2 | 2008年
关键词：
Riesz Bases; Biorthogonality; Multiresolution Analysis; Vector-valued; Wavelet Packets;
D O I：
暂无
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, the notion of multiple vector-valued multiresolution analysis of space L-2 (R-s, C-rxr) is introduced. A method for constructing biorthogonal multiple vector-valued wavelet packets in higher dimensions is presented and their properties is investigated by means of time-frequency analysis method, matrix theory and operator theory. Three biorthogonality formulas concerning these wavelet packets are obtained. Finally, new Riesz bases of space L-2 (R-s, C-rxr) is obtained by constructing a series of subspaces of biorthogonal vector-valued wavelet packets.
引用
收藏
页码：507 / 512
页数：6
相关论文
共 50 条
  • [1] Biorthogonal multiple vector-valued multivariate wavelet packets associated with a dilation matrix
    Chen, Qingjiang
    Shi, Zhi
    [J]. CHAOS SOLITONS & FRACTALS, 2008, 35 (02) : 323 - 332
  • [2] Orthogonal vector-valued wavelet packets associated with dilation matrix
    Zhang, Tong-Qi
    Chen, Qing-Jiang
    [J]. WAVELET ACTIVE MEDIA TECHNOLOGY AND INFORMATION PROCESSING, VOL 1 AND 2, 2006, : 122 - +
  • [3] The properties of orthogonal vector-valued wavelet packets in higher dimensions
    Chen, Qing-Jiang
    Mang, Tong-Qi
    [J]. WAVELET ACTIVE MEDIA TECHNOLOGY AND INFORMATION PROCESSING, VOL 1 AND 2, 2006, : 135 - +
  • [4] The characterization of vector-valued multivariate wavelet packets associated with a dilation matrix
    Wang Xiao-Feng
    Gao, Hongwei
    Jinshun Feng
    [J]. CHAOS SOLITONS & FRACTALS, 2009, 42 (04) : 1959 - 1966
  • [5] The Characterization of a kind of Vector-valued Multivariate Wavelet Packets with Composite Dilation Matrix
    Peng, Jing
    Li, Hua
    [J]. ADVANCED MEASUREMENT AND TEST, PARTS 1 AND 2, 2010, 439-440 : 932 - +
  • [6] On Characteristics of Biorthogonal Vector-valued Multivariate Wavelet Packets Associated with a Quantity Dilation Matrix
    Du, Shude
    Yuan, Deyou
    [J]. 2009 INTERNATIONAL CONFERENCE ON ENVIRONMENTAL SCIENCE AND INFORMATION APPLICATION TECHNOLOGY,VOL I, PROCEEDINGS, 2009, : 611 - 614
  • [7] Orthogonal multiple vector-valued multivariate wavelet packets
    Chen, Qingjiang
    Li, Hua
    [J]. ICNC 2007: THIRD INTERNATIONAL CONFERENCE ON NATURAL COMPUTATION, VOL 2, PROCEEDINGS, 2007, : 237 - +
  • [8] Study of a sort of Orthogonal Multiple Vector-valued Trivariate Wavelet Packets
    Wang, Xiaofeng
    Song, Deyao
    [J]. 2009 INTERNATIONAL CONFERENCE ON ENVIRONMENTAL SCIENCE AND INFORMATION APPLICATION TECHNOLOGY, VOL III, PROCEEDINGS,, 2009, : 493 - +
  • [9] The Presentation of a class of Orthogonal Vector-valued Multivariate Wavelet Packets associated with an Integer-valued Dilation Matrix
    Chen, Qingjiang
    Pang, Yongfeng
    [J]. 2009 INTERNATIONAL CONFERENCE ON ENVIRONMENTAL SCIENCE AND INFORMATION APPLICATION TECHNOLOGY, VOL III, PROCEEDINGS,, 2009, : 516 - 519
  • [10] The Properties of Vector-valued Higher-dimensional Wavelet Packets
    Wang Xiao-feng
    Luo Ping
    [J]. ICNC 2008: FOURTH INTERNATIONAL CONFERENCE ON NATURAL COMPUTATION, VOL 4, PROCEEDINGS, 2008, : 272 - +
12345