Maximally linear FIR digital differentiators for high frequencies
B. V. K. Vijaya Kumar, S. C. Dutta Roy · IEEE Transactions on Circuits and Systems · 1989
The frequency response of conventional FIR digital differentiators (DD), using only integral delays, is poor towards the high frequency end, and becomes identically zero at w= pi . To overcome this problem, a half-sample delay, z/sup -1/2/, is used in the minimax relative error DDs. However, the order of such DDs grows exponentially when accuracies better than 99.0% are desired. The authors propose maximally linear DDs, using one half-sample delay, which can achieve a frequency response accuracy better than 99.9%, with attractively low orders for 0.5 pi>