Impulse invariance-based method for the computation of fractional integral of order 0

Authors:
Youcef Ferdi
Affiliations:
LRES Laboratory, Department of Electrical Engineering, University of Skikda, BP. 26, Route d'El-Hadaíek, 21000, Skikda, Algeria
Venue:
Computers and Electrical Engineering
Year:
2009

Citing 2
Cited 3

Digital signal processing (3rd ed.): principles, algorithms, and applications

Digital signal processing (3rd ed.): principles, algorithms, and applications
Fractional differentiation for edge detection

Signal Processing - Special issue: Fractional signal processing and applications

Analytical impulse response of a fractional second order filter and its impulse response invariant discretization

Signal Processing
On distributed order integrator/differentiator

Signal Processing
On the self-similarity of 1/fβ sequences synthesized by recursive filtering

Computers and Electrical Engineering

Quantified Score

Hi-index	0.00

Visualization

Abstract

This paper presents a simple and efficient method for the design of recursive digital fractional order integrator when the order of integration is a real number between 0 and 1. The proposed method is based on the impulse invariance method. First the initial value theorem is used for the selection of the initial value of the impulse response and then any of the well-established signal modeling techniques can be employed for the parameterization of the discrete impulse response by pole-zero models. For a given model order, the approximation accuracy greatly depends on the initial value selected. Illustrative examples are presented to demonstrate the effectiveness and usefulness of the proposed method.