| 新型提升格式及其在小波构造中的应用 |
| |
| 引用本文： | 龚卫明. 新型提升格式及其在小波构造中的应用[J]. 中南林学院学报, 2006, 26(2): 100-105 |
| |
| 作者姓名： | 龚卫明 |
| |
| 作者单位： | 湖南城市学院数学系,湖南益阳413000 |
| |
| 基金项目： | 国家自然科学基金项目“离散与小波变换整数实现算法及其在数字水印中的应用研究”（项目编号10171109）. |
| |
| 摘 要： | 提升格式作为一种新的小波分解计算过程使得运算量大大减少，但缺陷是不能有效构造小波．通过分解对称正交小波成为提升格式得到一新型提升格式，克服了已有提升格式的缺陷，并通过实例说明了算法的有效性．
|
| 关 键 词： | 数学 提升格式 小波 计算复杂性 |
| 收稿时间： | 2005-09-25 |
New Type of Lifting Scheme and Its Application in Construction of Wavelets |
| |
| GONG Wei-ming. New Type of Lifting Scheme and Its Application in Construction of Wavelets[J]. Journal of Central South Forestry University, 2006, 26(2): 100-105 |
| |
| Authors: | GONG Wei-ming |
| |
| Affiliation: | Department of Mathematics, Hunan City University, Yiyang 413000, Hunan, China |
| |
| Abstract: | As a new computational process, the known lifting scheme is used to decrease the complexity, but it cannot be used to construct wavelets efficiently. In this paper, we presented a new kind of lifting scheme, which was obtained by fractionating symmetric orthogonal wavelets into lifting steps. Therefore, the weakness mentioned above is overcome, and some examples are given to illustrate it. |
| |
| Keywords: | mathematics lifting scheme wavelets computational complexity |
| 本文献已被 维普 等数据库收录！ |
|
