|
|||||
|
|
| 与多通道正交小波滤波器相关的矩阵扩充的通解 | |
| 引用本文： | 魏文斌,杨力华,蔡建宏. 与多通道正交小波滤波器相关的矩阵扩充的通解[J]. 数学杂志, 2005, 25(3): 249-258 |
| 作者姓名： | 魏文斌 杨力华 蔡建宏 |
| 作者单位： | 1. 空军雷达学院四系,湖北,武汉,430019;中国科学院数学与系统科学研究院,北京,100080 2. 中山大学数学系,广东,广州,510275 3. 湖北大学数学与计算科学学院,湖北,武汉,430062 |
| 摘 要： | 本文研究了一类与多通道正交小波滤波器相关的矩阵方程。运用多相位分解的方法，获得了这类矩阵方程的通解。借助于该结果，可以从一组多通道正交小波能够产生许多组多通道正交小波。 |
| 关 键 词： | 矩阵方程 符号 小波 矩阵扩充 |
GENERAL SOLUTION OF MATRIX EXTENSION ASSOCIATED WITH MULTIPLE CHANNEL ORTHONORMAL WAVELET FILTERS |
|
| WEI Wen-bin,YANG Li-hua,CAI Jian-hong. GENERAL SOLUTION OF MATRIX EXTENSION ASSOCIATED WITH MULTIPLE CHANNEL ORTHONORMAL WAVELET FILTERS[J]. Journal of Mathematics, 2005, 25(3): 249-258 | |
| Authors: | WEI Wen-bin YANG Li-hua CAI Jian-hong |
| Affiliation: | WEI Wen-bin~ |
| Abstract: | In this paper, we study a certain class of the matrix equations associated with multiple channel orthonormal wavelet filters. By polyphase factorization, we obtain the general solutions of this class of matrix equations, by which we can produce a great number of groups of multiple channel orthonormal wavelets from one group of multiple channel orthonormal wavelets. |
| Keywords: | Matrix equation symbol wavelet matrix extension |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |