| 高维向量值正交小波包的性质 |
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| 引用本文： | 陈清江,石智,程正兴.高维向量值正交小波包的性质[J].陕西师范大学学报,2007,35(2):22-26. |
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| 作者姓名： | 陈清江 石智 程正兴 |
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| 作者单位： | 西安交通大学理学院，西安建筑科技大学理学院，西安交通大学理学院 陕西西安710049，西安建筑科技大学理学院，陕西西安710055，陕西西安710055，陕西西安710049 |
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| 基金项目： | 国家自然科学基金;河南省自然科学基金 |
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| 摘 要： | 研究了高维向量值小波包的构造与性质,引进了数量矩阵伸缩的高维向量值小波包的概念.运用有限群理论和算子理论与积分变换,讨论了它们的性质,得到了高维向量值小波包的正交公式.利用高维向量值小波包的正交性,构造了空间L2(Rs,Cr)的新的正交基.
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| 关 键 词： | 正交 加细方程 向量值多分辨分析 向量值尺度函数 向量值小波包 |
| 文章编号： | 1672-4291（2007）02-0022-05 |
| 修稿时间： | 2006-09-14 |
Some properties of orthogonal vector-valued multivariate wavelet packets |
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| CHEN Qing-jiang,SHI Zhi,CHENG Zheng-xing.Some properties of orthogonal vector-valued multivariate wavelet packets[J].Journal of Shaanxi Normal University: Nat Sci Ed,2007,35(2):22-26. |
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| Authors: | CHEN Qing-jiang SHI Zhi CHENG Zheng-xing |
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| Abstract: | The construction and properties of vector-valued multivariate wavelet packets are studied.The notion of vector-valued multivariate wavelet packet associated with a quantity matrix is introduced.Their properties are discussed and orthogonality formula concerning these wavelet packets are obtained by means of finite group theory,operator theory and integral transformation.Finally,some new orthogonal bases for L2(Rs,Cr) are constructed from an orthogonal multivariate vector-valued wavelet packets by virtue of their orthogonality. |
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| Keywords: | orthogonal refinement equation vector-valued multiresolution analysis vector-valued scaling function vector-valued wavelet packet |
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