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Maximally linear FIR digital differentiators for high frequencies

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2 Author(s)
Kumar, B. ; Dept. of Electr. Eng., Indian Inst. of Technol., New Delhi, India ; Dutta Roy, S.C.

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=π. To overcome this problem, a half-sample delay, z-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 0.5π⩽w⩽π. Mathematical formulas have been derived for computing the coefficients for the design

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Circuits and Systems, IEEE Transactions on  (Volume:36 ,  Issue: 6 )