Design of Stabilized operator based 1/3 rd Order Digital Differentiator

In this paper, the design of Simpson and Alaoui operator based 1/3rd order digital differentiators are presented. To improve the design accuracy of the Simpson operator based 1/3rd digital differentiator, firstly, the stability criterion is considered, and then the fractional order digital differentiator is designed by using Continued Fraction Expansion (CFE) discretization scheme. Next Alaoui operator is used to design1/3rd order digital differentiator. Lastly, the MATLAB simulation results of both the designed fractional order digital differentiators are compared with the ideal fractional order digital differentiator.