摘要
以子波滤波器组在矩阵稀疏化中的应用为背景,给出了设计优化(两带)子波滤波器组需要满足的一般性条件和优化子波滤波器组的两种设计方法,它们均是简单的线性规划问题.计算了误差对子波滤波器正交性的影响,给出了一个修正的优化算法,使数值精确度有明显提高.仿真结果表明,优化子波滤波器组在矩阵稀疏化和去相关性方面优于Daubechies子波滤波器组.
This paper presents the general conditions for the optimum filter banks which are designed specifically for the computation of sparse matrices. Two designing methods based on simple linear optimization are given and a modified algorithm of high computation precision is presented to reduce the effects of computation error on the orthogonality of wavelet filters. Experimental results show that our filter banks are superior to Daubechies wavelet filter banks in the computation of sparse matrices and decorrelation.
出处
《西安电子科技大学学报》
EI
CAS
CSCD
北大核心
1999年第1期30-35,共6页
Journal of Xidian University
基金
国家自然科学基金
关键词
子波变换
滤波器组
设计
矩阵稀疏化
wavelet transform filter bank design sparsing matrix