%0 Journal Article
%T Design of linear phase IIR filters via optimal Hankel-norm approximation begin
基于最优Hankel范数近似的线性相位IIR滤波器设计
%A DENG N
%A SHAO Shi-huang
%A GU Guo-xiang
%A
邓娜
%A 邵世煌
%A 顾国祥
%J 控制理论与应用
%D 2007
%I
%X 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.
%K FIR filters
%K IIR filters
%K optimal Hankel-norm approximation
%K model reduction
%K linear phase
FIR滤波器
%K IIR滤波器
%K 最优Hankel范数近
%K 模型降阶
%K 线性相位
%K 群时延
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=970898A57DFC021F93AB51667BAED7F7&aid=D75FACD2149560459571192CC86106B9&yid=A732AF04DDA03BB3&vid=B91E8C6D6FE990DB&iid=0B39A22176CE99FB&sid=1E41DF9426604740&eid=02DC3A182A5530DF&journal_id=1000-8152&journal_name=控制理论与应用&referenced_num=0&reference_num=8