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- Title
On Generalized Fractional Differentiator Signals.
- Authors
Jalab, Hamid A.; Ibrahim, Rabha W.
- Abstract
By employing the generalized fractional differential operator, we introduce a system of fractional order derivative for a uniformly sampled polynomial signal.The calculation of the bring in signal depends on the additive combination of the weighted bring-in of N cascaded digital differentiators. The weights are imposed in a closed formula containing the Stirling numbers of the first kind. The approach taken in this work is to consider that signal function in terms of Newton series. The convergence of the system to a fractional time differentiator is discussed.
- Subjects
DIFFERENTIAL operators; GENERALIZATION; DERIVATIVES (Mathematics); POLYNOMIALS; MATHEMATICAL formulas; NUMBER theory
- Publication
Discrete Dynamics in Nature & Society, 2013, p1
- ISSN
1026-0226
- Publication type
Article
- DOI
10.1155/2013/795954