An efficient 2nd order HR digital differentiator design using cuckoo search algorithm

This paper presents an effective design of a 2^nd order infinite impulse response digital differentiator optimized using cuckoo search algorithm (CSA). In the proposed design scheme, sum of the coefficients of numerator terms was restricted to zero so as to approximate DC frequency response accurately. This restricted condition resulted in a much better approximation in terms of superior performance and reduction in number of variables to be optimized. Resulting integral absolute error, between the ideal and the designed magnitude frequency responses, considered as performance index, was found to be much better as compared to the other reported differentiators in the literature and therefore, it is concluded that the presented scheme is a potential method to design a 2^nd order digital differentiator.