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Design of Digital Differentiator to Optimize Relative Error

By Vinita V. Sondur, Vilas B. Sondur and Narasimha H. Ayachit

Abstract

Abstract—It is observed that the Weighted least-square (WLS) technique, including the modifications, results in equiripple error curve. The resultant error as a percent of the ideal value is highly non-uniformly distributed over the range of frequencies for which the differentiator is designed. The present paper proposes a modification to the technique so that the optimization procedure results in lower maximum relative error compared to the ideal values. Simulation results for first order as well as higher order differentiators are given to illustrate the excellent performance of the proposed method. Keywords—Differentiator, equiripple, error distribution, relative error. I

Year: 2013
OAI identifier: oai:CiteSeerX.psu:10.1.1.306.4774
Provided by: CiteSeerX
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