两通道LPBFB滤波器对称性与长度研究  

Study on the filter's symmetry polarities and lengths of two-channel LPBFB

作　　者：张池军[1,2] 王厚军[1] 彭安金[3] 

机构地区：[1]电子科技大学自动化工程学院 [2]中国人民解放军95989部队 [3]西南民族大学电气信息工程学院

出　　处：《信号处理》2009年第8期1325-1327,共3页Journal of Signal Processing

基　　金：国防基础科研项目资助(编号:A1420061264);博士点基金资助项目(编号:20070614018)

摘　　要：两通道LPBFB是设计对称双正交小波的基础,因而对LPBFB滤波器的对称性与长度问题的研究一直是多速率信号处理的一个热点,尤其有关综合滤波器的对称性问题研究,目前在文献中还没有报道。为此,本文根据LPBFB的线性相位和理想重建特性,从理论上先推导出分析滤波器的对称性及长度选择应满足的条件,然后推导出综合滤波器的对称性关系,进而得到了两通道LPBFB的滤波器对称性及长度的一般性选择方法,并给出了设计实例。Two-channel Linear Phase Biorthogonal Fiher Banks （LPBFB） is the basis of designing symmetric biorthogonal wavelet. Thus study on the filter＇ s symmetry polarities and lengths of two-channel LPBFB is the focus of multi-rate signal processing. But the choices of synthesis filter＇ s symmetry polarities cannot be found in the literature. Therefore, according to the linear phase（LP） and perfect reconstruction（PR） properties of LPBFB ,firstly the relationship between symmetry polarities and lengths of analysis filters is deduced theoretically;secondly the symmetry polarities of synthesis filters are deduced;finally a method for choosing the symmetry polarities and lengths of two-channel LPBFB is proposed in this paper, and an design example is given to show the effectiveness of our method.

关 键 词：LPBFB 线性相位 双正交滤波器组 

分 类 号：TP274[自动化与计算机技术—检测技术与自动化装置]