[1]韩可众,任必军.多尺度双向矩阵值小波的性质[J].江西师范大学学报(自然科学版),2013,(06):628-632.
 HAN Ke-zhong,REN Bi-jun.The Properties of Multiscale Two-Directional Matrix-Valued Wavelets[J].Journal of Jiangxi Normal University:Natural Science Edition,2013,(06):628-632.
点击复制

多尺度双向矩阵值小波的性质()
分享到:

《江西师范大学学报》(自然科学版)[ISSN:1006-6977/CN:61-1281/TN]

卷:
期数:
2013年06期
页码:
628-632
栏目:
出版日期:
2013-12-31

文章信息/Info

Title:
The Properties of Multiscale Two-Directional Matrix-Valued Wavelets
作者:
韩可众;任必军
河南信息统计职业学院,河南郑州,450011;河南财政税务高等专科学校信息工程系,河南郑州,451464
Author(s):
HAN Ke-zhong;REN Bi-jun
关键词:
双向矩阵值尺度函数正向面具函数负向面具函数双向矩阵值小波矩阵值小波变换双向矩阵值小波包
Keywords:
matrix-valued scaling functionspositive mask functionnegative mask functiontwo-directional matrix-valued waveletsmatrix-valued wavelet transformtwo-directional matrix-valued wavelet packets
分类号:
O174.2
文献标志码:
A
摘要:
运用矩阵理论和时频分析方法研究多尺度双向矩阵值小波的性质.首先引进了多尺度双向矩阵值正交小波的概念,然后提供了短支撑多尺度双向矩阵值正交小波的构造算法,最后刻画一类多尺度双向矩阵值正交小波包的特征.
Abstract:
Properties of multiscale two-directional matrix-valued wavelets are studied by using matrix theory and time-frequency method.Firstly,the concept of orthogonalmultiscale two-directional matrix-valued wavelets is introduced.Secondly,a constructivealgorithm formultiscale two-directional matrix-valued wavelets is presented.Finally,a class of multiscale two-directionalmatrix-valued wavelet packets are characterized.

参考文献/References:

[1] 高宏伟,韩可众.2维3尺度双正交小波滤波器的显示构造 [J].江西师范大学学报:自然科学版,2010,34(6):615-620.
[2] 赵晓花,张贵仓.一种基于边缘检测和正负量化的盲水印算法 [J].江西师范大学学报:自然科学版,2013,37(1):42-45.
[3] 李华,李杰,江晓武,等.数量矩阵伸缩的高维矩阵值小波包 [J].江西师范大学学报:自然科学版,2007,31(4):370-374.
[4] Yang Shouzhi,Tang Yuanyan,Cheng Zhengxing.Construction of compactly supported orthogonal multiwavelet with scale=a [J].J Comp Math,2001,24(4):451-460.
[5] Xia Xianggen,Suter B W.Vector-valued wavelets and vector filter banks [J].IEEE Trans Signal Process,1996,44(3):508-518.
[6] Fowler J E,Li Hua.Wavelets Transforms for vector fields using omnidretionally balanced mutli-wavelet [J].IEEE Trans Signal Processing,2002,50(12):3018-3027.
[7] Yang Shouzhi,Li Youfa.Two-direction refinable functions and two-direction wavelets with dilation factor m [J].Applied Mathematics and Computation,2007,188(2):1908-1920.
[8] 郑方,章毓晋.数字信号与图像处理 [M].北京:清华大学出版社,2006.
[9] Luo Lisuo,Li Wanshe,Li Qiao.A study on orthogonal two-direction vector-valued wavelets and two-direction wavelet packets [J].Applied Mathematics and Computation,2011,217(24):10146-10157.
[10] Chen Qingjiang,Cheng Zhengxing.A study on compactly supported orthogonal vector-valued wavelets and wavelet packets [J].Chaos,Solitons and Fractals,2007,31(4):1024-1034.
[11] Xie Changzhen,Yang Shouzhi.Orthogonal two-direction multiscaling functions [J].Front Math China,2006,4(1):604-611.
[12] 陈清江,冯金顺,程正兴.关于多重向量值正交上波的存在性 [J].江西师范大学学报:自然科学版,2006,30(5):431-435.
[13] 邸继征.小波分析原理 [M].北京:科学出版社,2009.

备注/Memo

备注/Memo:
2012年河南省基础与前沿技术研究(122300410061)
更新日期/Last Update: 1900-01-01