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

[41] OPTIMAL LEAST-SQUARES TIME-DOMAIN SYNTHESIS OF RECURSIVE DIGITAL FILTERS
EVANS, AG
FISCHL, R
IEEE TRANSACTIONS ON AUDIO AND ELECTROACOUSTICS, 1973, AU21 (01): : 61 - 65
[42] LEAST-SQUARES APPROXIMATION OF TWO-DIMENSIONAL FIR DIGITAL-FILTERS
ALLINEY, S
SGALLARI, F
ALTA FREQUENZA, 1980, 49 (01): : 24 - 26
[43] Weighted Least-Squares Design of IIR All-Pass Filters Using a Lyapunov Error Criterion
Jour, Yue-Dar
Chen, Fu-Kun
Su, Lo-Chyuan
Sun, Chao-Ming
PROCEEDINGS OF THE 2010 IEEE ASIA PACIFIC CONFERENCE ON CIRCUIT AND SYSTEM (APCCAS), 2010, : 1071 - 1074
[44] On Transition Bandwidth of Constrained Least-Squares Filters
Zhang, Jia-Rui
Shieh, Tzon-Liang
Lan, Leu-Shing
2008 51ST MIDWEST SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOLS 1 AND 2, 2008, : 338 - 341
[45] Weighted Least-Squares Design of Variable Recursive Digital Filters with Guaranteed Stability
Deng, Tian-Bo
Chivapreecha, Sorawat
Dejhan, Kobchai
2013 13TH INTERNATIONAL SYMPOSIUM ON COMMUNICATIONS AND INFORMATION TECHNOLOGIES (ISCIT): COMMUNICATION AND INFORMATION TECHNOLOGY FOR NEW LIFE STYLE BEYOND THE CLOUD, 2013, : 360 - 363
[46] A SUMMARY BY ILLUSTRATIONS OF LEAST-SQUARES FILTERS WITH CONSTRAINTS
CLAERBOUT, JF
IEEE TRANSACTIONS ON INFORMATION THEORY, 1968, 14 (02) : 269 - +
[47] Design of Least-Squares and Minimax Composite Filters
Lu, Wu-Sheng
Hinamoto, Takao
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2018, 65 (03) : 982 - 991
[48] DIGITAL LEAST-SQUARES SMOOTHING OF SPECTRA
EDWARDS, TH
WILLSON, PD
APPLIED SPECTROSCOPY, 1974, 28 (06) : 541 - 545
[49] ON THE CONVERGENCE SPEED OF NONLINEAR LEAST-SQUARES IIR ADAPTIVE FILTER
KIM, HJ
UN, CK
PROCEEDINGS OF THE IEEE, 1988, 76 (07) : 842 - 843
[50] On least-squares digital contour smoothing
Glasa, J
Podhajecky, G
ISPA 2003: PROCEEDINGS OF THE 3RD INTERNATIONAL SYMPOSIUM ON IMAGE AND SIGNAL PROCESSING AND ANALYSIS, PTS 1 AND 2, 2003, : 680 - 685

← 1 2 3 4 5 →