Design of fractional order digital FIR differentiators

被引：151

作者：

Tseng, CC ^{[1
]}

机构：

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

来源：

IEEE SIGNAL PROCESSING LETTERS | 2001年 / 8卷 / 03期

关键词：

differentiator; finite impulse response (FIR); fractional calculus;

D O I：

10.1109/97.905945

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 letter, the design of a fractional order FIR differentiator is investigated. First, the fractional derivative of power function is defined. Then, the impulse response of fractional order differentiator is obtained by solving linear equations of Vandermonde form. Finally, one example is used to demonstrate that the fractional derivatives of digital signals are easily computed by using proposed filtering technique.

引用

页码：77 / 79

页数：3

共 13 条

[1]

Dutta Roy S.C., 1993, HANDB STAT

[2] On the role of fractional calculus in electromagnetic theory [J].

Engheta, N .

IEEE ANTENNAS AND PROPAGATION MAGAZINE, 1997, 39 (04) :35-46

[3] A fractional derivative railpad model included in a railway track model [J].

Fenander, A .

JOURNAL OF SOUND AND VIBRATION, 1998, 212 (05) :889-903

[4] New design of full band differentiators based on Taylor series [J].

Khan, IR ;

Ohba, R .

IEE PROCEEDINGS-VISION IMAGE AND SIGNAL PROCESSING, 1999, 146 (04) :185-189

[5] BOUNDARY FRACTIONAL DERIVATIVE CONTROL OF THE WAVE-EQUATION [J].

MBODJE, B ;

MONTSENY, G .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1995, 40 (02) :378-382

[6]

Miller K. S., 1993, An Introduction to the Fractional Calculus and Fractional Differential Equations, DOI DOI 10.1016/S0076-5392(99)80020-4

[7]

Oldham KB, 1974, Fractional Calculus: Theory and Applications of Differentiation and Integration to Arbitrary Order

[8]

ORTIGUERIRA MD, 2000, P I ELECT ENG P VIS, V147, P71

[9]

ORTIGUERIRA MD, 2000, P I ELECT ENG P VI 1, V147, P62

[10] Analytic closed-form matrix for designing higher order digital differentiators using Eigen-approach [J].

Pei, SC ;

Shyu, JJ .

IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1996, 44 (03) :698-701

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