The Characterization of the Multiple Vector-valued Multi-scale Wavelet Packet Bases

被引:0
|
作者
Han Ke-zhong [1 ]
机构
[1] Zhengzhou Inst Aeronaut Ind Management, Informat & Stat Vocat Coll, Zhengzhou 450011, Peoples R China
来源
2011 INTERNATIONAL CONFERENCE ON MACHINE INTELLIGENCE (ICMI 2011), PT 1 | 2011年 / 3卷
关键词
Orthogonal; multiresolution representation; multiple vector-valued wavelet packets; short suppo-rt; Riesz basis; multi-scale dilation; time-frequency analysis method;
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 orthogonal multiple vector-valued wavelet packets are introduced. An algorithm for constructing a class of orthogonal multiple vector-valued wavelets with short support is provided. A pro-cedure of the construction of orthogonal multiple vector-valued wavelet wraps is presented. The traits of the multiple vector-valued wavelet packets has been characterized by using time-frequency analysis method and unitary extnsion principle. In particular, a Riesz basis of L-2(R,C-uxu) is drawn from these wavelet packets. The pyramid decomposition scheme based on pseudoframes is established.
引用
收藏
页码:109 / 114
页数:6
相关论文
共 50 条
  • [21] Continuous Wavelet Transforms for Vector-Valued Functions
    Ishi, Hideyuki
    Oshiro, Kazuhide
    GEOMETRIC SCIENCE OF INFORMATION (GSI 2021), 2021, 12829 : 331 - 339
  • [22] 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 - +
  • [23] THE SURVEY OF BIORTHOGONAL VECTOR-VALUED MULTIVARIATE WAVELET PACKETS WITH NINE-SCALE
    Chen, Qing-Jiang
    An, Zong-Ling
    PROCEEDINGS OF 2009 INTERNATIONAL CONFERENCE ON WAVELET ANALYSIS AND PATTERN RECOGNITION, 2009, : 417 - +
  • [24] THE PROPERTIES OF BIORTHOGONAL VECTOR-VALUED HIGHERDIMENSIONAL WAVELET PACKETS WITH FOUR-SCALE
    Wang, Xiao-Feng
    Guo, Ming-Pu
    PROCEEDINGS OF 2008 INTERNATIONAL CONFERENCE ON WAVELET ANALYSIS AND PATTERN RECOGNITION, VOLS 1 AND 2, 2008, : 692 - +
  • [25] The Biorthogonality Property of Vector-valued Multivariate Wavelet Packets with m-scale
    Gao, Hongwei
    Ding, Liping
    2009 WRI WORLD CONGRESS ON SOFTWARE ENGINEERING, VOL 2, PROCEEDINGS, 2009, : 509 - +
  • [26] Biorthogonal multiple vector-valued multivariate wavelet packets associated with a dilation matrix
    Chen, Qingjiang
    Shi, Zhi
    CHAOS SOLITONS & FRACTALS, 2008, 35 (02) : 323 - 332
  • [27] Compactly supported biorthogonal two-direction vector-valued wavelet Packet with arbitrary dilation
    Li, Lan
    PROCEEDINGS OF THE 2015 4TH INTERNATIONAL CONFERENCE ON SENSORS, MEASUREMENT AND INTELLIGENT MATERIALS, 2016, 43 : 846 - 850
  • [28] The Description of Multiple Vector-valued Dual Multidimensional Wavelet wraps and Dual Pseudoframes
    Luo Ping
    Pan Zhi-min
    PROCEEDINGS OF 2010 3RD IEEE INTERNATIONAL CONFERENCE ON COMPUTER SCIENCE AND INFORMATION TECHNOLOGY, VOL 9 (ICCSIT 2010), 2010, : 200 - 204
  • [29] Vector-Valued John–Nirenberg Inequalities and Vector-Valued Mean Oscillations Characterization of BMO
    Kwok-Pun Ho
    Results in Mathematics, 2016, 70 : 257 - 270
  • [30] The Characterization of a kind of Vector-valued Multivariate Wavelet Packets with Composite Dilation Matrix
    Peng, Jing
    Li, Hua
    ADVANCED MEASUREMENT AND TEST, PARTS 1 AND 2, 2010, 439-440 : 932 - +