Novel IIR differentiator from the Simpson integration rule

A novel digital differentiator is introduced. The proposed differentiator is a stable second-order recursive differentiator suitable for applications that require fast differentiation methods. It is obtained from the Simpson integration rule. The accuracy and the range of the magnitude response of the proposed differentiator is the same as that of the Simpson integrator. Thus, it is comparable to that obtained by higher order algorithms. In addition, the resulting differentiator has an almost linear phase at low frequencies