中文摘要：

M通道LPPRFB的研究一直是多速率信号处理的一个热点,而同时兼顾其综合滤波器的对称性与长度选择通用性问题的研究,目前在文献中还没有报道。本文根据其线性相位和理想重建特性,从理论上推导出了综合滤波器的对称性及长度的关系,并提出了M通道LPPRFB的对称性与长度选择的一般方法,最后以实例说明该方法通用且有效。

英文摘要：

Study on M-channel Linear Phase Perfect Reconstruction Filter Banks （LPPRFB） is the focus of multi-rate signal processing, but the study on selections of synthesis filter＇s symmetry polarities and lengths simultaneously still can＇t be found in literatures. The relationship between symmetry polarities and lengths of analysis filters and those of synthesis filters is deduced theoretically, and a method for selecting the symmetry polarities and lengths of M-channel LPPRFB synthesis filters is proposed in this paper. Examples prove that the method is effective and can be used generally.