文章基本信息

标题：On Generalized Fractional Differentiator Signals
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作者：Hamid A. Jalab ; Rabha W. Ibrahim
期刊名称：Discrete Dynamics in Nature and Society
印刷版ISSN：1026-0226
电子版ISSN：1607-887X
出版年度：2013
卷号：2013
DOI：10.1155/2013/795954
出版社：Hindawi Publishing Corporation
摘要：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 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.