引用本文:邓娜,邵世煌,顾国祥.基于最优Hankel范数近似的线性相位IIR滤波器设计[J].控制理论与应用,2007,24(2):200~204.[点击复制]
DENG Na,SHAO Shi-huang,GU Guo-xiang.Design of linear phase IIR filters via optimal Hankel-norm approximation begin[J].Control Theory and Technology,2007,24(2):200~204.[点击复制]
基于最优Hankel范数近似的线性相位IIR滤波器设计
Design of linear phase IIR filters via optimal Hankel-norm approximation begin
摘要点击 1656  全文点击 1521  投稿时间：2005-07-11  修订日期：2006-05-15
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DOI编号  10.7641/j.issn.1000-8152.2007.2.007
  2007,24(2):200-204
中文关键词  FIR滤波器  IIR滤波器  最优Hankel范数近  模型降阶  线性相位  群时延
英文关键词  FIR filters  IIR filters  optimal Hankel-norm approximation  model reduction  linear phase
基金项目  
作者单位
邓娜,邵世煌,顾国祥 东华大学 信息学院, 上海 200051
美国路易斯安那州立大学 机电工程系,美国 路易斯安那 
中文摘要
      提出了一类基于最优Hankel范数近似的线性相位无限脉冲响应(IIR)滤波器设计方法.首先给出了Hankel范数的相关预备知识,~然后给出了离散时间单输入单数出系统Hankel范数近似的定理及证明,最后给出了线性相位IIR滤波器的设计步骤.该方法不但减小了逆矩阵求解过程中的计算量,~同时给出了L∞范数近似的误差边界.仿真结果验证了该方法的有效性.
英文摘要
      The design of linear phase infinite impulsive response (IIR) filters is condidered via optimal Hankel-norm approximation. First, some mathematical preliminaries on Hankel-norm is introduced. Then for discrete time single-input single-output (SISO) system, a theorem of Hankel-norm approximation is proposed and proved. Finally the efficient design procedures of linear phase IIR filters are derived. The algorithm not only reduces computational load due to the matrix inversion in lower dimension but also gives Linfinity error bound. Example is worked out which shows the validity of the approach.