| 一类紧支撑正交多小波的显式构造 |
| |
| 引用本文： | 张建基,雷巧莉,关惠惠,张静.一类紧支撑正交多小波的显式构造[J].甘肃科学学报,2016(3):20-25. |
| |
| 作者姓名： | 张建基 雷巧莉 关惠惠 张静 |
| |
| 作者单位： | 1. 新疆师范大学 数学科学学院,新疆 乌鲁木齐,830054;2. 西安铁路职业技术学院,陕西 西安,710014 |
| |
| 摘 要： | 以所构造的正定矩阵为基础,给出了2尺度紧支撑正交多小波的构造方法,证明了当2尺度r重紧支撑正交多尺度函数的系数矩阵Pi是r×r阶可逆矩阵,存在正交矩阵A,使PiPTi与diag(λi,1,λi,2,…,λi,r)合同。算例的结果说明,当AT(2I-PiPTi)-1 PiPiTA是对角的正定矩阵时,可构造出2重紧支撑正交多小波函数。
|
| 关 键 词： | 紧支撑正交多小波 对称正定矩阵 对角矩阵 |
Explicit Construction of First Class Compact Supported Orthogonal Multi Wavelets |
| |
| Abstract: | Based on the constructed positive definite matrix,construction method of compact supported or-thogonal multi wavelets with dilation factor 3 are presented to prove that coefficient matrix of compact supported orthogonal multi-scaling functions with dilation factor 2 is an invertible matrix with order,and orthogonal matrix exists in making same with.The result of example indicates that 2 compact supported or-thogonal multi-wavelet function can be constructed when is diagonal positive definite matrix. |
| |
| Keywords: | Compact supported orthogonal multi wavelets Symmetric positive definite matrix Diagonal matrix |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
