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Analysis of PR and near-PR cosine-modulated filter banks with odd and even numbers of channels
作者姓名:XIE Xuemei  ZHONG Wei  SHI Guangming
作者单位:School of Electronic Engineering, Xidian University, Xi’an 710071, China
基金项目:国家自然科学基金;国家自然科学基金
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.

关 键 词:cosine  modulated  filter  banks    perfect  reconstruction  (PR)    the  Parks-McClellan  algorithm

Analysis of PR and near-PR cosine-modulated filter banks with odd and even numbers of channels
XIE Xuemei,ZHONG Wei,SHI Guangming.Analysis of PR and near-PR cosine-modulated filter banks with odd and even numbers of channels[J].Progress in Natural Science,2006,16(11):1198-1204.
Authors:XIE Xuemei  ZHONG Wei  SHI Guangming
Abstract: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.
Keywords:cosine modulated filter banks  perfect reconstruction (PR)  the Parks-McClellan algorithm
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