The Description of Properties of Vector-Valued Wavelet Packets with six-scale

被引：0
作者：
Liu, Ruohui [1 ]
Peng, Jialong [2 ]
机构：
[1] Huanghuai Univ, Dept Comp Sci, Zhumadian 463000, Peoples R China
[2] Xian Univ Arch & Tech, Sch Sci, Xian 710055, Peoples R China
来源：
2009 WRI WORLD CONGRESS ON SOFTWARE ENGINEERING, VOL 2, PROCEEDINGS | 2009年
关键词：
MULTIWAVELETS;
D O I：
10.1109/WCSE.2009.374
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
Wavelet analysis is an active research subject for twenty years. In this paper, the notion of orthogonal vector-valued wavelet packets in higher dimensions is introduced. A procedure for constructing them is presented. Their properties are investigated by using time-frequency analysis method, matrix theory and finite group theory Orthogonality formulas are established.
引用
收藏
页码：169 / +
页数：2
相关论文
共 7 条
[1]   A study on compactly supported orthogonal vector-valued wavelets and wavelet packets [J].
Chen, Qingjiang ;
Cheng, Zhengxing .
CHAOS SOLITONS & FRACTALS, 2007, 31 (04) :1024-1034
[2]   Data-driven and optimal denoising of a signal and recovery of its derivative using multiwavelets [J].
Efromovich, S ;
Lakey, J ;
Pereyra, MC ;
Tymes, N .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2004, 52 (03) :628-635
[3]   NONTENSOR PRODUCT WAVELET PACKETS IN L(2)(IR(S)) [J].
SHEN, ZW .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1995, 26 (04) :1061-1074
[4]   Design of prefilters for discrete multiwavelet transforms [J].
Xia, XG ;
Geronimo, JS ;
Hardin, DP ;
Suter, BW .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1996, 44 (01) :25-35
[5]   Vector-valued wavelets and vector filter banks [J].
Xia, XG ;
Suter, BW .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1996, 44 (03) :508-518
[6]   Construction of biorthogonal multiwavelets [J].
Yang, SZ ;
Cheng, ZX ;
Wang, HY .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 276 (01) :1-12
[7]   Lossless compression of color mosaic images [J].
Zhang, Ning ;
Wu, Xiaolin .
IEEE TRANSACTIONS ON IMAGE PROCESSING, 2006, 15 (06) :1379-1388
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