Fundamental properties of the fractional-order discrete-time integrator

Authors:
Piotr Ostalczyk
Affiliations:
Politechnika Lódzka, Instytut Automatyki, ul. Stefanowskiego 18/22, 90-924 Lódz, Poland
Venue:
Signal Processing - Special issue: Fractional signal processing and applications
Year:
2003

Citing 2
Cited 4

Discretized fractional calculus

SIAM Journal on Mathematical Analysis
Discrete-time control systems

Discrete-time control systems

A new least-squares approach to differintegration modeling

Signal Processing - Fractional calculus applications in signals and systems
An iterative method for the design of variable fractional-order FIR differintegrators

Signal Processing
Iterative design of variable fractional-order IIR differintegrators

Signal Processing
Studies on fractional order differentiators and integrators: A survey

Signal Processing

Quantified Score

Hi-index	0.00

Visualization

Abstract

In the paper main properties of the fractional-order discrete-time linear, time-invariant integrator are presented. The discrete-time integrators of different classes of signals and integration orders are considered. The closed-loop system with fractional integrator is analysed. The transient and frequency characteristics are discussed. As a numerical example, the approximate realisation of the fractional-order integrator has been proposed.