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全相位DFT数字滤波器的设计与实现
引用本文:侯正信,王兆华,杨喜.全相位DFT数字滤波器的设计与实现[J].电子学报,2003,31(4):539-543.
作者姓名:侯正信  王兆华  杨喜
作者单位:天津大学电子信息工程学院,天津 300072
基金项目:国家自然科学基金 (No .69972 0 31 )
摘    要:本文提出了全相位数据空间的概念,并基于DFT/IDFT滤波导出了一种新型的零相位滤波器——全相位DFT(APDFT)数字滤波器.本文给出了它的脉冲响应与相应的DFT滤波响应向量之间的正、反变换公式,证明了这种滤波器的一些重要性质.APDFT方法兼有窗函数法和频率采样法的优点,是一种设计FIR滤波器的新方法.理论分析和模拟实验证实,其总体性能优于传统方法.APDFT数字滤波器除可用通常的卷积结构实现外,也可用一种直接频域网络实现.本文给出了这种网络结构及其简化算法.这种网络具有实时自设计功能.它可以构成时变系统用于滤波器传递函数实时可变的场合,可以方便地集成为一个长度和频响均可编程的通用零相位数字滤波器,而且还可用于实现严格互补子带滤波.

关 键 词:DFT/IDFT滤波  全相位数据空间  零相位滤波器  全相位DFT数字滤波器  
文章编号:0372-2112(2003)04-0539-05
收稿时间:2001-08-06

Design and Implementation of All Phase DFT Digital Filter
HOU Zheng-xin,WANG Zhao-hua,YANG Xi.Design and Implementation of All Phase DFT Digital Filter[J].Acta Electronica Sinica,2003,31(4):539-543.
Authors:HOU Zheng-xin  WANG Zhao-hua  YANG Xi
Affiliation:School of Electronic Information Engineering,Tianjin University,Tianjin 300072,China
Abstract:This paper proposes a concept of all phase data space,and based on the DFT/IDFT filtering brings about a new type of zero-phase filter,the all phase DFT (APDFT) digital filter.The paper gives the transform and inverse transform between its impulse response and corresponding DFT response vector,demonstrates some important properties of this filter.The APDFT method is a new scheme for FIR filter design,possessing concurrently the merits of the windowing and the frequency sampling method.It has the advantage of the conventional methods in overall filter characteristics that have been verified by theoretical analysis and simulation experiments.The APDFT digital filter can be implemented with common convolution structure,and a direct frequency domain network as well.This paper gives the architecture of the network and an associate simplified algorithm.This network has real-time self-design function.It can constitute a time-variant system applied to the occasion that requires filter's transfer function variable in real-time,can be easily integrated into a universal zero-phase digital filter with all of its length and frequency response programmable,and can be used to realize sub-band filtering with strictly complementary.
Keywords:DFT/IDFT filtering  all phase data space  zero-phase filters  all phase DFT digital filter
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