On distributed order integrator/differentiator

Authors:
Yan Li;Hu Sheng;Yang Quan Chen
Affiliations:
School of Control Science and Engineering, Shandong University, Jinan, Shandong 250061, PR China and Center for Self-Organizing and Intelligent Systems (CSOIS), Electrical and Computer Engineering ...;Department of Electronic Engineering, Dalian University of Technology, Dalian 116024, PR China and Center for Self-Organizing and Intelligent Systems (CSOIS), Electrical and Computer Engineering D ...;Center for Self-Organizing and Intelligent Systems (CSOIS), Electrical and Computer Engineering Department, Utah State University, Logan, UT 84322, USA
Venue:
Signal Processing
Year:
2011

Citing 11
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Abstract

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.