Design of variable and adaptive fractional order FIR differentiators

被引：104

作者：

Tseng, Chien-Cheng ^{[1
]}

机构：

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

来源：

SIGNAL PROCESSING | 2006年 / 86卷 / 10期

关键词：

fractional calculus; fractional derivative; fractional order differentiator; variable filter; adaptive filter; i/f noise; Farrow structure; signature verification;

D O I：

10.1016/j.sigpro.2006.02.004

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 this paper, the design problems of variable and adaptive fractional order finite impulse response (FIR) differentiators are investigated. First, the fractional differencing method and weighted least squares (WLS) approach are presented to design variable fractional order differentiators which can be implemented by the efficient Farrow structure. Next, an adaptive fractional order differentiator is developed and applied to estimate the parameters of 1/f noise from the finite observation data set. The parameters are updated by using least mean squares (LMS) adaptive algorithm. Finally, the variable fractional order differentiator is used to reduce the error rate of handwritten signature verification system. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：2554 / 2566

页数：13

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