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| 2重正交多尺度函数和多小波的构造 | |
| 引用本文： | 谢长珍. 2重正交多尺度函数和多小波的构造[J]. 工程数学学报, 2005, 22(5): 787-792 |
| 作者姓名： | 谢长珍 |
| 作者单位： | 汕头大学数学系,汕头,515063 |
| 摘 要： | 基于正交单尺度函数，给出一种构造2重正交多尺度函数的方法。也给出对应正交多小波的显式构造公式。由于构造的2重正交多尺度函数中的个是所给的正交单尺度函数，另一个是新构造出的函数，因此这种多小波比相关的单小波具有更好的频率局部性。 |
| 关 键 词： | 正交尺度函数 正交小波 正交多尺度函数 正交多小波 |
| 文章编号： | 1005-3085(2005)05-0787-06 |
| 收稿时间： | 2003-12-10 |
| 修稿时间： | 2003-12-10 |
Construction of Orthogonal Mutiscaling Functions and Orthogonal Multiwavelets with Multiplicity Two |
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| XIE Chang-zhen. Construction of Orthogonal Mutiscaling Functions and Orthogonal Multiwavelets with Multiplicity Two[J]. Chinese Journal of Engineering Mathematics, 2005, 22(5): 787-792 | |
| Authors: | XIE Chang-zhen |
| Abstract: | This paper exhibits the construction of orthonormal multiscaling function with multiplicity 2 based on orthogonal uniwavelet, here one of the associated orthogonal multiscaling function is the uniscaling function, while the other is a new function that we construct. In addition, explicit formula of the corresponding orthogonal multiwavelets is obtained. The constructed multiwavelets provide better frequency localization than the associated uniwavelets. |
| Keywords: | orthogonal scaling function orthogonal wavelets orthogonal multiscaling functions orthogonal multiwavelets |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |