| 一对平衡双正交尺度函数的构造 |
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| 引用本文： | 张鹏怡,崔丽鸿.一对平衡双正交尺度函数的构造[J].北京化工大学学报(自然科学版),2009,36(4):111-115. |
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| 作者姓名： | 张鹏怡 崔丽鸿 |
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| 作者单位： | 北京化工大学,理学院,北京,100029;北京化工大学,理学院,北京,100029 |
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| 摘 要： | 给出了一种构造平衡尺度向量的新方法，旨在解决非平衡双正交多小波在应用中遇到的实际困难。基于给定的一对具有紧支撑的双正交尺度函数，构造性的生成一对新的尺度函数，使之仍保持双正交性；进一步地，当原尺度函数具有一定逼近阶时，对滤波器加以若干条件设计非线性方程组，还可使新的尺度函数具有相应的平衡阶。
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| 关 键 词： | 双正交多小波 尺度函数 逼近阶 平衡阶 |
| 收稿时间： | 2008-12-02 |
Construction of balanced biorthogonal multiscaling functions |
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| ZHANG PengYi,CUI LiHong.Construction of balanced biorthogonal multiscaling functions[J].Journal of Beijing University of Chemical Technology,2009,36(4):111-115. |
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| Authors: | ZHANG PengYi CUI LiHong |
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| Institution: | School of Science, Beijing University of Chemical Technology, Beijing 100029, China |
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| Abstract: | Balanced biorthogonal multiscaling functions have been constructed using linear combinations of a pair of existing ones with compact support in order to solve problems in the application of unbalanced biorthogonal multiwavelets. Furthermore, by setting some realizable conditions on masks and designing nonlinear equations, we can obtain new scaling functions which have more desirable properties when the original scaling functions are of certain approximation order. |
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| Keywords: | biorthogonal multiwavelets scaling functions approximation order balanced order |
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