| 有限长标准正交小波基滤波器的构造 |
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| 引用本文： | 洪明坚,张小洪.有限长标准正交小波基滤波器的构造[J].计算机工程与应用,2009,45(15):44-46. |
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| 作者姓名： | 洪明坚 张小洪 |
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| 作者单位： | 重庆大学,软件学院,重庆,400030 |
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| 摘 要： | 从紧支撑正交小波滤波器的正交性、规范性及正则性条件出发,获得了求解滤波器系数的非线性差分方程组,并采用最优化方法求解。由于该优化问题的目标函数是具有零残数的最小二乘,可以用Gauss-Newton法求解。为了克服Gauss-Newton法的局部收敛性,结合随机算法和Gauss-Newton法形成了一种更为可行的算法。它不仅计算出了Daubechies小波的滤波器系数,还可以得到其他对称性与局部性更好的小波。另外,该算法还可以用于双正交或多小波滤波器的构造,具有很好的可移植性。
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| 关 键 词： | 正交小波基 最优化 随机算法 |
| 收稿时间： | 2008-8-22 |
| 修稿时间： | 2008-11-3
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Construction of finite-length filter for orthonormal wavelet basis |
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| HONG Ming-jian,ZHANG Xiao-hong.Construction of finite-length filter for orthonormal wavelet basis[J].Computer Engineering and Applications,2009,45(15):44-46. |
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| Authors: | HONG Ming-jian ZHANG Xiao-hong |
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| Affiliation: | HONG Ming-jian,ZHANG Xiao-hong School of Software Engineering,Chongqing University,Chongqing 400030,China |
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| Abstract: | This paper gives several non-linear difference equations based on the orthogonality,regularity and standardity of the orthogonal wavelet with compact support.Then the paper designs a least square objective function from these equations and optimize it by the Gauss-Newton algorithm.However,because of local convergence of Gauss-Newton algorithm,the paper combines the Gauss-Newton algorithm with the stochastic algorithm to get a more feasible algorithm.This algorithm can not only approximate the solutions well... |
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| Keywords: | orthonormal wavelet basis optimization stochastic algorithm |
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