On distributed order integrator/differentiator

• DOI: 10.1016/j.sigpro.2010.10.005
• Publication Date: 2010-10-14T09:35:04Z
• Authors: Yan Li; Hu Sheng; Yang Quan Chen
• Keywords: Differentiator; Impulse response

In this paper, 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.