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.
出处
《信号处理》
CSCD
北大核心
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)
