| 具有奇偶性的多尺度小波 |
| |
| 引用本文： | 张钦礼,张翠莲,曾大有,赵燕.具有奇偶性的多尺度小波[J].河北大学学报(自然科学版),2005,25(2):121-129. |
| |
| 作者姓名： | 张钦礼 张翠莲 曾大有 赵燕 |
| |
| 作者单位： | 华北航天工业学院,基础部,河北,廊坊,065000 |
| |
| 基金项目： | 河北省教育厅科研基金资助项目(Z2004108)，华北航天工业学院科研基金资助项目(KY-2003-12) |
| |
| 摘 要： | 利用多尺度分析理论构造出了具有奇偶性的多尺度小波.这些小波函数在构造上更加随意并且同时兼备许多优良性质,如固定的短支集、任意奇数阶或者偶数阶的消失矩、奇偶性、正则性和正交性.因此,它们具有更高的逼近阶,能很好地解决边界的问题.
|
| 关 键 词： | 多尺度分析 多尺度小波 消失矩 |
| 文章编号： | 1000-1565(2005)02-0121-09 |
| 修稿时间： | 2004年9月1日 |
Even and Odd Multiwavelets |
| |
| ZHANG Qin-li,ZHANG Cui-lian,ZENG Da-you,ZHAO Yan.Even and Odd Multiwavelets[J].Journal of Hebei University (Natural Science Edition),2005,25(2):121-129. |
| |
| Authors: | ZHANG Qin-li ZHANG Cui-lian ZENG Da-you ZHAO Yan |
| |
| Abstract: | An algorithmic approach to the construction of even and odd multiwavelets by the use of the idea of multiresolution analysis(MRA) are presented . These wavelets have not only more freedom in the design of multiwavelets than scalar wavelets but also possess many desired properties such as invariable short support, arbitrary high odd or even vanishing moment, odd or even functions, regularity and orthogonality. This suggests that multiwavelet systems can provide perfect reconstruction, good performance at the boundaries(symmetry), and high approximation order(vanishing moment). |
| |
| Keywords: | multiresolution analysis multiwavelets vanishing monent |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《河北大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《河北大学学报(自然科学版)》下载免费的PDF全文 |
