Fractional Order Digital Differentiator with Linear Phase and Low Absolute Error
نویسندگان
چکیده
This paper is an attempt to design a fractional order digital differentiator s where r is a real number, using indirect discretization scheme having very low absolute error and linear phase characteristics. Rational approximation of s is done in Laplace domain using continued fraction expansion(CFE), to discretize the approximated function (i.e s to z transformation) digital differentiator designed using Genetic Algorithm (GA) optimization method, is used as an operator. The discretized approximated fractional order digital differentiator is minimum phase, stable and outperforms all the existing fractional order digital differentiator both in magnitude and phase response. The simulation results are obtained using MATLAB scripts and the result are in close conformity with the ideal response in continuous time as the absolute error plot shows error less than -50db while ω < 0.8π and less than -35db when ω > 0.8π
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