A new IIR-type digital fractional order differentiator
Signal Processing - Special issue: Fractional signal processing and applications
Fractional differentiation for edge detection
Signal Processing - Special issue: Fractional signal processing and applications
Design of variable and adaptive fractional order FIR differentiators
Signal Processing - Fractional calculus applications in signals and systems
Time domain design of fractional differintegrators using least-squares
Signal Processing - Fractional calculus applications in signals and systems
Design of FIR and IIR fractional order Simpson digital integrators
Signal Processing
Studies on fractional order differentiators and integrators: A survey
Signal Processing
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In this paper, the design and implementation structures of adjustable fractional order differentiator (AFOD) are presented. First, the series expansion of ideal frequency response is used to transform the design of AFOD into the designs of log differentiators with various orders. Then, conventional FIR filter design method is applied to design log differentiators. The proposed method is flexible because the AFOD can be designed by considering the trade-off among the storage requirement of filter coefficients, implementation complexity and delay of filter. Finally, several numerical examples are shown to illustrate the effectiveness of the proposed design approach.