| 一族GHM型多尺度函数的构造 |
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| 引用本文： | 李万社,程蓉.一族GHM型多尺度函数的构造[J].陕西理工学院学报(自然科学版),2005,21(2):72-75. |
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| 作者姓名： | 李万社 程蓉 |
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| 作者单位： | 陕西师范大学,数学与信息科学学院,陕西,西安,710062 |
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| 基金项目： | 国家自然科学基金资助项目(60272058)。 |
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| 摘 要： | 从具有2阶逼近的GHM多尺度函数出发,鉴于其逼近阶数相对较低的缺点,利用两尺度相似变换(TST)的方法,构造变换矩阵Mr(ω),将它的逼近阶提高到了任意大于2的整数,并保持了紧支性和对称性,提高了GHM多小波逼近光滑函数的能力。
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| 关 键 词： | GHM多小波 逼近阶 两尺度相似变换 TST |
| 文章编号： | 1002-3410(2005)02-0072-04 |
| 修稿时间： | 2005年3月10日 |
Construction of a family of GHM - based multi - scaling functions |
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| LI Wan-she,Cheng Rong.Construction of a family of GHM - based multi - scaling functions[J].Journal of Shananxi University of Technology:Natural Science Edition,2005,21(2):72-75. |
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| Authors: | LI Wan-she Cheng Rong |
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| Abstract: | This paper is based on the GHM multi-scaling functions with approximation order 2. With the help of two-scale similarity transform (TST), after constructing suitable transform matrix Mr(w) we are able to increase the approximation order to an arbitrary integer which is bigger than 2, and preserve the symmetry and compact support of the new multi-scaling functions. After doing that, we will get a family of new multi-wavelets based on GHM multi-wavelets, whose ability of approximating smooth functions is improved. |
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| Keywords: | GHM multi-wavelets approximation order two-scale similarity transform TST |
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