文献类型：期刊文献

英文题名：Optimal Design of IIR Filters via the Partial Fraction Decomposition Method

作者：Qi, He[1];Feng, Zhi Guo[2];Yiu, Ka Fai Cedric[1];Nordholm, Sven[3]

机构：[1]Hong Kong Polytech Univ, Dept Appl Math, Hong Kong, Peoples R China;[2]Guangdong Ocean Univ, Fac Math & Comp Sci, Zhanjiang 524088, Guangdong, Peoples R China;[3]Curtin Univ, Dept Elect & Comp Engn, Perth, WA 6845, Australia

年份：2019

卷号：66

期号：8

起止页码：1461

外文期刊名：IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS

收录：SCI-EXPANDED(收录号：WOS:000478949600036)、、EI(收录号：20184606073780)、Scopus(收录号：2-s2.0-85056342853)、WOS

基金：This work was supported in part by RGC under Grant PolyU 152200/14E, and in part by PolyU under Grant G-YBVQ. This brief was recommended by Associate Editor H. H.-C. Iu.

语种：英文

外文关键词：IIR digital filter; minimax design; partial fraction decomposition

外文摘要：In this brief, we consider the minimax design of infinite impulse response (IIR) filter. First, we apply the partial fraction method to decompose the transfer function into a sum of low order fractions, as a result the minimax IIR filter design problem can be formulated with the stability condition as constraints. Second, among different possible decompositions of the transfer function, we prove that the second order decomposition can always achieve good approximation to the optimal solution. Based on the second order decomposition formulation, several numerical experiments have been conducted, and better IIR filters can be designed using the proposed method compared with existing methods in the literature.