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

页码：28 / 36

页数：9

共 50 条

[1] Design of stable IIR digital filters with equiripple passbands and peak-constrained least-squares stopbands
Lu, WS
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 1999, 46 (11) : 1421 - 1426
[2] Design of stable IIR digital filters with equiripple passbands and peak-constrained least-squares stopbands
Lu, W.-S.
IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing, 1999, 46 (11): : 1421 - 1426
[3] Least-squares approximation of FIR by IIR digital filters
Universitat Erlangen-Nurnberg, Erlangen, Germany
IEEE Trans Signal Process, 1 (21-30):
[4] Least-squares approximation of FIR by IIR digital filters
Brandenstein, H
Unbehauen, R
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1998, 46 (01) : 21 - 30
[5] Weighted least-squares approximation of FIR by IIR digital filters
Brandenstein, H
Unbehauen, R
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2001, 49 (03) : 558 - 568
[6] Peak-constrained least-squares design of IIR digital filters
Netto, SL
Diniz, PSR
1998 IEEE SYMPOSIUM ON ADVANCES IN DIGITAL FILTERING AND SIGNAL PROCESSING, 1998, : 53 - 56
[7] Design of Composite Filters with Equiripple Passbands and Least-Squares Stopbands
Lu, Wu-Sheng
Hinamoto, Takao
2017 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS (ISCAS), 2017, : 1910 - 1913
[8] Design of FIR filters with equiripple passband and least-squares stopband
Wysocka-Schillak, F
MELECON 2000: INFORMATION TECHNOLOGY AND ELECTROTECHNOLOGY FOR THE MEDITERRANEAN COUNTRIES, VOLS 1-3, PROCEEDINGS, 2000, : 607 - 610
[9] Design of stable IIR digital filters with equiripple passbands and peak-constrained least squares stopbands
Lu, WS
ISCAS '97 - PROCEEDINGS OF 1997 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOLS I - IV: CIRCUITS AND SYSTEMS IN THE INFORMATION AGE, 1997, : 2192 - 2195
[10] A WEIGHTED LEAST-SQUARES ALGORITHM FOR QUASI-EQUIRIPPLE FIR AND IIR DIGITAL-FILTER DESIGN
LIM, YC
LEE, JH
CHEN, CK
YANG, RH
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1992, 40 (03) : 551 - 558

← 1 2 3 4 5 →