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| 正整数伸缩的双正交双向小波包(英文) | |
| 引用本文： | 李岚,陈清江,李娜,程正兴.正整数伸缩的双正交双向小波包(英文)[J].工程数学学报,2010,27(5). |
| 作者姓名： | 李岚 陈清江 李娜 程正兴 |
| 作者单位： | 1. 西安交通大学理学院,西安,710049;西安文理学院数学系,西安,710065 2. 西安建筑科技大学理学院,西安,710055 3. 西安电子科技大学通信工程学院,西安,710071 4. 西安交通大学理学院,西安,710049 |
| 摘 要： | 本文引入了尺度为α的双正交双向小波包的概念,运用矩阵理论和算子理论研究了双正交双向小波包的性质。得到构造双正交双向小波包的一种新方法。建立了进行迭代与分解的公式。利用双正交双向小波包,得到空间L~2(R)新的Riesz基。最后,给出构造双正交双向小波包的例子。 |
| 关 键 词： | 双向小波 双向小波包 双向加细函数 双正交 |
Biorthogonal Two-direction Wavelet Packets with a Positive Integer Dilation Factor |
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| LI Lan,CHEN Qing-jiang,LI Na,CHENG Zheng-xing.Biorthogonal Two-direction Wavelet Packets with a Positive Integer Dilation Factor[J].Chinese Journal of Engineering Mathematics,2010,27(5). | |
| Authors: | LI Lan CHEN Qing-jiang LI Na CHENG Zheng-xing |
| Abstract: | Biorthogonal two-direction wavelet packets with dilation factor are introduced and their properties are discussed by means of the matrix theory and operator theory.A new approach for constructing biorthogonal two-direction wavelet packets is developed.The formulae for performing iteration and decomposition are established.New Riesz bases for L2(R)are obtained by the given biorthogonal two-direction wavelet packets.Finally,an example for constructing biorthogonal two-direction wavelet packets is given. |
| Keywords: | two-direction wavelet two-direction wavelet packets two-direction refinable function biorthogonal |
| 本文献已被 CNKI 万方数据 等数据库收录！ | |