A new IIR-type digital fractional order differentiator

Authors:
YangQuan Chen;Blas M. Vinagre
Affiliations:
Center for Self-Organizing and Intelligent System, Department of Electrical and Computer Engineering, Utah State University, UMC 4160, College of Engineering, 4160 Old Main Hill, Logan, UT;Department of Electronic and Electromechanical Engineering, Industrial Engineering School, University of Extremadura, Avda. De Elvas s/n, 06071-Badajoz, Spain
Venue:
Signal Processing - Special issue: Fractional signal processing and applications
Year:
2003

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Abstract

A new infinite impulse response (IIR)-type digital fractional order differentiator (DFOD) is proposed by using a new family of first-order digital differentiators expressed in the second-order IIR filter form. The integer first-order digital differentiators are obtained by the stable inversion of the weighted sum of Simpson integration rule and the trapezoidal integration rule. The distinguishing point of the proposed DFOD lies in an additional tuning knob to compromise the high-frequency approximation accuracy.