\input zb-basic \input zb-ioport \iteman{io-port 05915717} \itemau{Li, Yan; Sheng, Hu; Chen, Yang Quan} \itemti{On distributed order integrator/differentiator.} \itemso{Signal Process. 91, No. 5, 1079-1084 (2011).} \itemab Summary: We derive the impulse response of the distributed order integrator/differentiator and its asymptotic property by using the complex path integral. Based on the derived analytical impulse response, we present a technique to perform the discretization of the above distributed order integrator/differentiator. The derived asymptotic property can be applied to verify the feasibility of this method. Some new features of the distributed order integrator/differentiator are shown in time and frequency domains. A number of illustrated figures are presented to validate the concepts. \itemrv{~} \itemcc{} \itemut{distributed order integrator/differentiator; signal processing; controller design; fractional calculus; discretization} \itemli{doi:10.1016/j.sigpro.2010.10.005} \end