| 基于Cayley变换的紧支撑二元正交小波滤波器组的构造 |
| |
| 引用本文： | 李林杉,彭思龙,邢春峰.基于Cayley变换的紧支撑二元正交小波滤波器组的构造[J].计算数学,2011,33(2):157-164. |
| |
| 作者姓名： | 李林杉 彭思龙 邢春峰 |
| |
| 作者单位： | 1. 北京联合大学基础部, 北京 100101;
2. 中国科学院自动化研究所, 北京 100080 |
| |
| 基金项目： | 北京市中青年骨干人才项目资助，北京联合大学自然科学类校级项目资助 |
| |
| 摘 要： | 构造正交滤波器组,在多相域里就等价于构造仿酉矩阵,而仿酉矩阵的构造涉及到非线性方程组的求解.通过对Cayley变换的研究,把仿酉矩阵的构造转换为更易构造的仿斜厄米特矩阵,基于这种变换构造了二元紧支撑正交小波滤波器组,并给出了算例.
|
| 关 键 词： | 正交小波滤波器组 仿酉矩阵 Cayley变换 |
| 收稿时间： | 2010-01-29; |
CONSTRUCTION OF COMPACTLY SUPPORTED BIVARIATE ORTHOGONAL WAVELET FILTER BANKS BASED ON THE CAYLEY TRANSFORM |
| |
| Li Lishan,Peng Silong,Xing Chunfeng.CONSTRUCTION OF COMPACTLY SUPPORTED BIVARIATE ORTHOGONAL WAVELET FILTER BANKS BASED ON THE CAYLEY TRANSFORM[J].Mathematica Numerica Sinica,2011,33(2):157-164. |
| |
| Authors: | Li Lishan Peng Silong Xing Chunfeng |
| |
| Institution: | 1. Department of Basic Course, Beijing Union University, Beijing 100101, China;
2. Institute of Automation Chinese Academy of Sciences, Beijing 100080, China |
| |
| Abstract: | In the polyphase domain, construction of orthogonal filter banks is equivalent to constructing paraunitary matrices, which leads to solving sets of nonlinear equations. By the cayley transform of study, constructing paraunitary matrices is converted to constructing para-skew-Hermitian matrices, which are much easier to solve, then constructing compactly supported bivariate orthogonal wavelet filter banks based on the cayley transform, and one example is also given. |
| |
| Keywords: | Orthogonal Wavelet Filter Banks Paraunitary Matrix Cayley Transform |
| 本文献已被 万方数据 等数据库收录！ |
| 点击此处可从《计算数学》浏览原始摘要信息 |
| 点击此处可从《计算数学》下载免费的PDF全文 |
|
