New Laguerre Filter Approximators to the Grünwald-Letnikov Fractional Difference

New Laguerre Filter Approximators to the Grünwald-Letnikov Fractional Difference

This paper presents a series of new results in modeling of the Grünwald-Letnikov discrete-time fractional difference by means of discrete-time Laguerre filers. The introduced Laguerre-based difference (LD) and combined fractional/Laguerre-based difference (CFLD) are shown to perfectly approximate it...

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Main Author: Rafał Stanisławski
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2012/732917
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spelling doaj-8730492a921c43bea37c75f6b0574d7b2020-11-24T22:17:02ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472012-01-01201210.1155/2012/732917732917New Laguerre Filter Approximators to the Grünwald-Letnikov Fractional DifferenceRafał Stanisławski0Institute of Control and Computer Engineering, Opole University of Technology, ul. Proszkowska 76, 45-758 Opole, PolandThis paper presents a series of new results in modeling of the Grünwald-Letnikov discrete-time fractional difference by means of discrete-time Laguerre filers. The introduced Laguerre-based difference (LD) and combined fractional/Laguerre-based difference (CFLD) are shown to perfectly approximate its fractional difference original, for fractional order . This paper is culminated with the presentation of finite (combined) fractional/Laguerre-based difference (FFLD), whose excellent approximation performance is illustrated in simulation examples.http://dx.doi.org/10.1155/2012/732917
collection DOAJ
language English
format Article
sources DOAJ
author Rafał Stanisławski
spellingShingle Rafał Stanisławski
New Laguerre Filter Approximators to the Grünwald-Letnikov Fractional Difference
Mathematical Problems in Engineering
author_facet Rafał Stanisławski
author_sort Rafał Stanisławski
title New Laguerre Filter Approximators to the Grünwald-Letnikov Fractional Difference
title_short New Laguerre Filter Approximators to the Grünwald-Letnikov Fractional Difference
title_full New Laguerre Filter Approximators to the Grünwald-Letnikov Fractional Difference
title_fullStr New Laguerre Filter Approximators to the Grünwald-Letnikov Fractional Difference
title_full_unstemmed New Laguerre Filter Approximators to the Grünwald-Letnikov Fractional Difference
title_sort new laguerre filter approximators to the grünwald-letnikov fractional difference
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2012-01-01
description This paper presents a series of new results in modeling of the Grünwald-Letnikov discrete-time fractional difference by means of discrete-time Laguerre filers. The introduced Laguerre-based difference (LD) and combined fractional/Laguerre-based difference (CFLD) are shown to perfectly approximate its fractional difference original, for fractional order . This paper is culminated with the presentation of finite (combined) fractional/Laguerre-based difference (FFLD), whose excellent approximation performance is illustrated in simulation examples.
url http://dx.doi.org/10.1155/2012/732917
work_keys_str_mv AT rafałstanisławski newlaguerrefilterapproximatorstothegrunwaldletnikovfractionaldifference
_version_ 1725786942105190400

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