Least-squares approach to IIR digital filters and an application to equiripple solutions

被引：0
|
作者：
Okuda, M [1 ]
Ikehara, M [1 ]
Takahashi, S [1 ]
机构：
[1] Keio Univ, Fac Sci & Technol, Yokohama, Kanagawa 223, Japan
来源：
ELECTRONICS AND COMMUNICATIONS IN JAPAN PART III-FUNDAMENTAL ELECTRONIC SCIENCE | 1998年 / 81卷 / 07期
关键词：
IIR digital filter; weighted modified least-squares method; Gram-Schmidt orthogonalization; equiripple approximation;
D O I：
10.1002/(SICI)1520-6440(199807)81:7<28::AID-ECJC4>3.0.CO;2-X
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
This paper formulates the modified least-squares method presented by Mullis in a general form so that weighting can be applied. Then, an algorithm is proposed with which a least-squares approximation can be derived for an IIR digital filter, by solving iteratively a system of equations. The method is extended to a complex Chebyshev approximation that minimizes the maximum magnitude of the complex en or, by multiplying the weight, which is newly derived in this paper, with the modified least-squares error. The method is compared with a conventional complex Chebyshev approximation by means of a computer simulation and the effectiveness of the proposed method is demonstrated. (C) 1998 Scripta Technica.
引用
收藏
页码：28 / 36
页数：9
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