FIR数字滤波器零极点灵敏度分析及优化实现

庄陵; 马靖怡; 王光宇; 关鹃

doi:10.11959/j.issn.1000-436x.2018167

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FIR数字滤波器零极点灵敏度分析及优化实现

论文Ⅲ：学术论文 | 更新时间：2024-06-05

- FIR数字滤波器零极点灵敏度分析及优化实现
- Analysis and optimal realization of pole-zero sensitivity for FIR digital filters
- 通信学报 2018年39卷第9期页码：168-177
- 作者机构：
  
  重庆邮电大学移动通信技术重庆市重点实验室，重庆 400065
- 作者简介：
  
  [ "庄陵（1978-），女，重庆人，博士，重庆邮电大学副教授，主要研究方向为通信与信息处理多载波技术、滤波器组理论。" ]
  [ "马靖怡（1993-），女，陕西汉中人，重庆邮电大学硕士生，主要研究方向为滤波器结构设计、多载波滤波器组技术。" ]
  [ "王光宇（1964-），男，贵州兴义人，博士，重庆邮电大学教授，主要研究方向为高速多载波通信理论。" ]
  [ "关鹃（1991-），女，山西运城人，重庆邮电大学硕士生，主要研究方向为移动通信多载波调制技术、滤波器组理论。" ]
- 基金信息：
  
  中兴5G高速连续接入技术方案与试验系统研发基金资助项目(2016ZX03001010-004)
- DOI：10.11959/j.issn.1000-436x.2018167
  中图分类号： TN713.7
- 网络出版日期：2018-09，
  
  纸质出版日期：2018-09-25
- 稿件说明：
移动端阅览
庄陵, 马靖怡, 王光宇, 等. FIR数字滤波器零极点灵敏度分析及优化实现[J]. 通信学报, 2018,39(9):168-177.

Ling ZHUANG, Jingyi MA, Guangyu WANG, et al. Analysis and optimal realization of pole-zero sensitivity for FIR digital filters[J]. Journal on communications, 2018, 39(9): 168-177.
庄陵, 马靖怡, 王光宇, 等. FIR数字滤波器零极点灵敏度分析及优化实现[J]. 通信学报, 2018,39(9):168-177. DOI： 10.11959/j.issn.1000-436x.2018167.

Ling ZHUANG, Jingyi MA, Guangyu WANG, et al. Analysis and optimal realization of pole-zero sensitivity for FIR digital filters[J]. Journal on communications, 2018, 39(9): 168-177. DOI： 10.11959/j.issn.1000-436x.2018167.

摘要

针对有限字长效应导致滤波器零极点的位置偏移问题，基于状态空间实现结构研究FIR数字滤波器零极点对系数误差的灵敏性。不同于IIR滤波器，FIR滤波器状态空间模型中的系统矩阵具有亏损性。引入亏损矩阵广义特征向量分析极点的灵敏性，导出灵敏度表达式，并依据相似变换理论找寻最佳变换矩阵，提出FIR滤波器零极点灵敏度的优化实现。理论推导及仿真实验表明，FIR滤波器极点对系数误差敏感度较高，且所提优化实现方案能够降低灵敏度。

Abstract

Aiming at the deviation of pole and zero in filters which caused by the finite word length (FWL) effects

the sensitivity of pole and zero for FIR digital filters to coefficient errors was studied based on the state-space model.Unlike the IIR filter

the system matrix in state-space model of the FIR filter was defective.A set of generalized eigenvectors of defective matrix was introduced to analyze the pole sensitivity and derive the measure expression

and optimal realizations with respect to pole-zero sensitivity for FIR filters were proposed by finding optimal transformation matrices according to the similarity transformation theory.Theoretical analysis and simulation experiments show that the poles of a FIR filter are more sensitive to coefficient errors

and the proposed optimal realizations can reduce the sensitivity.

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references

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