The various optimization methods used to create Finite Impulse Response fractional-order digital differentiator (FIR-FOD) are discussed in this article. In order to attain the desired requirements, it is necessary to minimize an error, which is then solved in order to obtain optimal filter coefficients. Here, challenge of FIR fractional-order digital differentiator optimization becomes quite difficult due to the nonlinear, non-differentiable, non-convex, multimodal character of these error functions. This study offers a thorough analysis of the various FIR fractional-order digital differentiator design optimization methods. 12th order digitalFIR-FODdesign simulations and convergence curve are presented. Different difficulties encountered in optimizing the design of a digitalFIR-FODare described, and solutions are offered.

Digital differentiator, Finite impulse response, Optimization techniques, Stagnation, Fractional order, Convergence.