Paper Info
Title
Comparison of Different Methods for Digital Fractional-Order Differentiator and Integrator Design
Abstract
The main goal of this study is comparative analysis of different methods used in design of digital fractional-order differentiator and integrator. The fractional-order digital differentiator or integrator can be described (in continuous time domain) with a transfer function H(s)=s <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">α</sup> , where α is a real number. To implement digital differentiators and integrators of arbitrary order the main step is the discretization. There are two common approaches of discretization. In this paper the direct and indirect discretization are presented but the emphasis will be on the indirect method, where the generating functions can be obtained through bilinear transformation, Al-Alaoui operator, Euler's backward operator and stable Simspon operator. The main differences between alternatives will be provided through analysis and comparison of their frequency responses - magnitude-frequency response, phase-frequency response and Nyquist diagrams.
Year
DOI
Venue
2018
10.1109/TSP.2018.8441509
2018 41st International Conference on Telecommunications and Signal Processing (TSP)
Keywords
Field
DocType
Al-Alaoui operator,direct discretization,fractal differential equation,indirect discretization,Tustin's operator
Time domain,Discretization,Computer science,Control theory,Differentiator,Integrator,Real-time computing,Euler's formula,Bilinear transform,Transfer function,Operator (computer programming)
Conference
ISBN
Citations 
PageRank 
978-1-5386-4696-0
0
0.34
References 
Authors
0
2
Name
Order
Citations
PageRank
Mehmed Rustemovic100.34
Tarik Uzunovic223.18