Analysis of PR and near-PR cosine-modulated filter banks with odd and even numbers of channels

作     者：XIE Xuemei**, ZHONG Wei and SHI Guangming(School of Electronic Engineering, Xidian University, Xi’an 710071, China) 

作者机构：School of Electronic Engineering Xidian University Xi'an 710071 China 

出 版 物：《Progress in Natural Science:Materials International》 (自然科学进展·国际材料(英文))

年 卷 期：2006年第16卷第11期

页      面：1198-1204页

核心收录：

学科分类：080902[工学-电路与系统] 0809[工学-电子科学与技术（可授工学、理学学位）] 08[工学] 

基　　金：Supported by National Natural Science Foundation of China (Grant No .60372047) and Natural Science Foundation of Shaanxi Province   China(Grant No .2005F18) 

主　　题：cosine modulated filter banks perfect reconstruction (PR) the Parks-McClellan algorithm. 

摘      要：It is well known that M-channel filter banks, satisfying either the perfect-reconstruction (PR) or near-PR property, can be obtained by cosine modulation of a linear-phase prototype filter. In this work, we investigated the effects of choosing odd or even number of channels on the performance of both PR and near-PR cosine-modulated filter banks (CMFBs). Given the same m, a performance degradation happens in the PR case with odd numbered M. Contrarily, the choice of even or odd M has little effects on the whole system quality for near-PR one. In addition, we made some comparisons between the constrained optimization and the Parks-McClellan algorithm with cosine roll-off characteristic in designing near-PR CMFBs. Detailed analyses and numerical comparisons show that the PR and near-PR systems have their individual characteristics in terms of M and m selection. Studies here can provide useful and practical guidelines for choosing right filter systems.