An iterative method for the design of variable fractional-order FIR differintegrators

被引：70

作者：

Shyu, Jong-Jy ^{[1
]}

Pei, Soo-Chang ^{[2
]}

Chan, Cheng-Han ^{[3
]}

机构：

[1] Natl Univ Kaohsiung, Dept Elect Engn, Kaohsiung 811, Taiwan

[2] Natl Taiwan Univ, Dept Elect Engn, Taipei, Taiwan

[3] Natl Kaohsiung First Univ Sci & Technol, Dept Comp & Commun Engn, Kaohsiung, Taiwan

来源：

SIGNAL PROCESSING | 2009年 / 89卷 / 03期

关键词：

Variable fractional-order differintegrator; FIR digital filter; Digital differentiator; Digital integrator; Weighted-least-squares approach; DIGITAL-FILTERS; DIFFERENTIATORS;

D O I：

10.1016/j.sigpro.2008.09.009

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：

In the paper, a new method is proposed for the design of variable fractional-order (VFO) FIR differintegrators. Comparing with the existing methods. the elements of relevant matrices can be determined just by the given specification, which makes the method easier. An iterative technique is also incorporated to adjust the weighting function, such that the peak absolute error of variable frequency response can be reduced drastically. Several design examples, including a VFO differintegrator, two VFO differentiators and a VFO integrator, are presented to demonstrate the effectiveness and flexibility of the proposed method. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：320 / 327

页数：8

共 35 条

[1]

Abadir K. M., 2005, MATRIX ALGEBRA, V1

[2] AN ANALYTICAL LEAST-SQUARE SOLUTION TO THE DESIGN PROBLEM OF TWO-DIMENSIONAL FIR FILTERS WITH QUADRANTALLY SYMMETRIC OR ANTISYMMETRIC FREQUENCY-RESPONSE [J].

AHMAD, MO ;

WANG, JD .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1989, 36 (07) :968-979

[3]

[Anonymous], 1993, INTRO FRACTIONAL CA

[4]

[Anonymous], 1999, FRACTIONAL DIFFERENT

[5]

Atkinson K., 1991, An Introduction To Numerical Analysis

[6] Continued fraction expansion approaches to discretizing fractional order derivatives - an expository review [J].

Chen, YQ ;

Vinagre, BM ;

Podlubny, I .

NONLINEAR DYNAMICS, 2004, 38 (1-4) :155-170

[7] A new IIR-type digital fractional order differentiator [J].

Chen, YQ ;

Vinagre, BM .

SIGNAL PROCESSING, 2003, 83 (11) :2359-2365

[8]

Chen YQ, 2002, IEEE T CIRCUITS-I, V49, P363, DOI 10.1109/81.989172

[9]

CHI CY, 1991, P IEEE INT S CIRC SY, P168

[10] Variable digital filter with least-square criterion and peak gain constraints [J].

Dam, Hai Huyen ;

Cantoni, Antonio ;

Teo, Kok Lay ;

Nordholm, Sven .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2007, 54 (01) :24-28

← 1 2 3 4 →