On Generalized Fractional Differentiator Signals
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. Th...
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Hindawi Limited
2013-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2013/795954 |
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doaj-0ff60d77b4ff4f04a5c3d8fef24850b52020-11-24T21:57:38ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/795954795954On Generalized Fractional Differentiator SignalsHamid A. Jalab0Rabha W. Ibrahim1Faculty of Computer Science and Information Technology, University Malaya, 50603 Kuala Lumpur, MalaysiaInstitute of Mathematical Sciences, University Malaya, 50603 Kuala Lumpur, MalaysiaBy 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.http://dx.doi.org/10.1155/2013/795954 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Hamid A. Jalab Rabha W. Ibrahim |
| spellingShingle |
Hamid A. Jalab Rabha W. Ibrahim On Generalized Fractional Differentiator Signals Discrete Dynamics in Nature and Society |
| author_facet |
Hamid A. Jalab Rabha W. Ibrahim |
| author_sort |
Hamid A. Jalab |
| title |
On Generalized Fractional Differentiator Signals |
| title_short |
On Generalized Fractional Differentiator Signals |
| title_full |
On Generalized Fractional Differentiator Signals |
| title_fullStr |
On Generalized Fractional Differentiator Signals |
| title_full_unstemmed |
On Generalized Fractional Differentiator Signals |
| title_sort |
on generalized fractional differentiator signals |
| publisher |
Hindawi Limited |
| series |
Discrete Dynamics in Nature and Society |
| issn |
1026-0226 1607-887X |
| publishDate |
2013-01-01 |
| description |
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. |
| url |
http://dx.doi.org/10.1155/2013/795954 |
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AT hamidajalab ongeneralizedfractionaldifferentiatorsignals AT rabhawibrahim ongeneralizedfractionaldifferentiatorsignals |
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