Title :
Design of fractional order digital FIR differentiators
Author :
Tseng, Chien-Cheng
Author_Institution :
Dept. of Comput. & Commun. Eng., Nat. Kaohsiung First Univ. of Sci. & Technol., Taiwan
fDate :
3/1/2001 12:00:00 AM
Abstract :
In this paper, the design of a fractional order FIR differentiator is investigated. First, the fractional derivative of the power function is defined. Then, the impulse response of the fractional order differentiator is obtained by solving linear equations of the Vandermonde form. Finally, one example is used to demonstrate that the fractional derivatives of digital signals are easily computed by using the proposed filtering technique.
Keywords :
FIR filters; differentiating circuits; digital filters; network synthesis; Vandermonde linear equations; digital signals; filtering technique; fractional derivative; fractional order differentiator; fractional order digital FIR differentiators; impulse response; power function; Delay; Differential equations; Digital filters; Filtering; Finite impulse response filter; Fractional calculus; Helium; Sampling methods; Signal design; Taylor series;
Journal_Title :
Signal Processing Letters, IEEE
