Analog realization of fractional order hybrid differentiators via Carlson´s approach

Rational approximation of fractional order (FO) elements are now of prime importance for the need of its hardware implementation in control design and signal processing. Among the well known analog realizations methods, the Carlson´s approach has been used in this paper due to its simplicity of calculation for designing a certain class of FO differentiators as hybrid filters. Impact of the independent parameters of the hybrid differentiator on the phase response has been depicted along with the achievable accuracies for increasing order of realization for filter design.