|
|||||
|
|
| 具有消失矩的新二元正交小波 | |
| 引用本文： | 徐应祥,关履泰.具有消失矩的新二元正交小波[J].云南大学学报(自然科学版),2010,32(4):385-391. |
| 作者姓名： | 徐应祥 关履泰 |
| 作者单位： | 1. 中山大学科学计算与计算机应用系, 广东广州 510275; 2. 西北师范大学数学与信息科学学院, 甘肃兰州 730070 |
| 摘 要： | 研究了一类新二元紧支撑正交小波的构造方法,由此构造方法可得到一类新的二元张量积(可分的)小波和二元非张量积(不可分)小波,而且构造过程较为简单.在给出详细的构造方法的同时,讨论了这类新的二元小波所具有的消失矩性质,最后给出一些具体的例子对方法进行了验证. |
| 关 键 词： | 正交小波 紧支撑 非张量积 尺度函数 共轭滤波器 |
| 收稿时间： | 2009-9-22 |
New bivariate orthogonal wavelets with vanishing moments |
|
| XU Ying-xiang,GUAN Lv-tai.New bivariate orthogonal wavelets with vanishing moments[J].Journal of Yunnan University(Natural Sciences),2010,32(4):385-391. | |
| Authors: | XU Ying-xiang GUAN Lv-tai |
| Institution: | 1. Department of Scientific Computation and Computer Application, Sun Yat-sen University, Guangzhou 510275, China; 2. College of Mathematics and Information Science, Northwest Normal University, Lanzhou 730070, China |
| Abstract: | A new method of construction of bivariate compactly supported orthogonal wavelets is proposed.Some new bivariate separable and bivariate non-separable wavelets can be obtained by the constructing method and the method is so simple.Giving the detail of the constructing method,the vanishing moments properties of this new bivariate wavelets are also discussed. Some numerical examples are given at last to demonstrate our method. |
| Keywords: | |
| 本文献已被 CNKI 等数据库收录！ | |
| 点击此处可从《云南大学学报(自然科学版)》浏览原始摘要信息 | |
| 点击此处可从《云南大学学报(自然科学版)》下载免费的PDF全文 | |