Biorthogonality Property of Vector-valued Multivariate Wavelet Packets

被引：2
|
作者：
Chen, Qingjiang [1 ]
Wei, Zongtian [1 ]
机构：
[1] Xian Univ Arch & Tech, Sch Sci, Xian 710055, Peoples R China
来源：
ICNC 2008: FOURTH INTERNATIONAL CONFERENCE ON NATURAL COMPUTATION, VOL 5, PROCEEDINGS | 2008年
关键词：
D O I：
10.1109/ICNC.2008.10
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-s, 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-s, R-u) from these wavelet packets.
引用
收藏
页码：471 / 475
页数：5
相关论文
共 50 条
  • [31] Research on biorthogonal characteristics of multivariate vector valued wavelet packets with dilation matrix
    Wang, Hui
    Qiu, Jinling
    [J]. BASIC & CLINICAL PHARMACOLOGY & TOXICOLOGY, 2019, 125 : 162 - 163
  • [32] Characterizations of a Class of Orthogonal Multiple Vector-valued Wavelet Packets with Five-scale
    Wang, Hui
    Qiu, Jinling
    [J]. ICNC 2008: FOURTH INTERNATIONAL CONFERENCE ON NATURAL COMPUTATION, VOL 7, PROCEEDINGS, 2008, : 337 - 341
  • [33] The Description for Properties of Biorthogonal Vector-valued Wavelet Packets with six-scale Factor
    Zhai Meijuan
    Wu Hong-e
    [J]. 2010 INTERNATIONAL CONFERENCE ON E-EDUCATION, E-BUSINESS, E-MANAGEMENT AND E-LEARNING: IC4E 2010, PROCEEDINGS, 2010, : 325 - 328
  • [34] The Biorthogonality Property of the Multidimensional Wavelet Packets with Multi-scale Factor
    Zhou, Jianfeng
    Wang, Ping-An
    [J]. ADVANCED MEASUREMENT AND TEST, PARTS 1 AND 2, 2010, 439-440 : 1093 - +
  • [35] On a Vector-Valued Measure of Multivariate Skewness
    Loperfido, Nicola
    [J]. SYMMETRY-BASEL, 2021, 13 (10):
  • [36] Construction of biorthogonal vector-valued wavelet
    Luo, Ping
    Lu, Bao-Xian
    [J]. WAVELET ACTIVE MEDIA TECHNOLOGY AND INFORMATION PROCESSING, VOL 1 AND 2, 2006, : 777 - +
  • [37] The Presentation of the Properties of Vector-valued Higher-dimensional Wavelet Packets with Three-scale
    Hua, Delin
    Wu, Hong-e
    [J]. PROCEEDINGS OF THE 2009 WRI GLOBAL CONGRESS ON INTELLIGENT SYSTEMS, VOL IV, 2009, : 543 - +
  • [38] The Presentation of a Class of Orthogonal Vector-valued Finitely Supported Wavelet Packets with an Integer Dilation Factor
    Song, Suluo
    [J]. 2009 INTERNATIONAL CONFERENCE ON ENVIRONMENTAL SCIENCE AND INFORMATION APPLICATION TECHNOLOGY, VOL III, PROCEEDINGS,, 2009, : 497 - 500
  • [39] Orthogonal wavelet frames and vector-valued wavelet transforms
    Bhatt, Ghanshyam
    Johnson, Brody Dylan
    Weber, Eric
    [J]. APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2007, 23 (02) : 215 - 234
  • [40] The Orthogonality Properties of Vector-Valued Two-dimensional Wavelet Packets with an Integer Dilation Factor
    Liang, Ying
    Yu, Yumin
    [J]. IITAW: 2009 THIRD INTERNATIONAL SYMPOSIUM ON INTELLIGENT INFORMATION TECHNOLOGY APPLICATIONS WORKSHOPS, 2009, : 153 - 156
12345