Nongpiur, R. C.Shpak, D. J.Antoniou, A,2014-10-162014-10-1620132014-04-01R. C. Nongpiur, D. J. Shpak, and A. Antoniou, "Design of IIR digital differentiators using constrained optimization,” IEEE Transactions on Signal Processing, vol. 62, no. 7, Apr. 2014.1053-587Xhttp://hdl.handle.net/1828/5705A new optimization method for the design of fullband and lowpass IIR digital differentiators is proposed. In the new method, the passband phase-response error is minimized under the constraint that the maximum passband amplituderesponse relative error is below a prescribed level. For lowpass IIR differentiators, an additional constraint is introduced to limit the average squared amplitude response in the stopband, so as to minimize any high-frequency noise that may be present. Extensive experimental results are included which show that the differentiators designed using the proposed method have much smaller maximum phase-response error for the same passband amplitude-response error and stopband constraints when compared with several differentiators designed using stateof- the-art competing methods.enDigital differentiatorsIIR filter designDesign of filters by optimizationPreprintDepartment of Electrical and Computer Engineering