New Laguerre filter approximators to the Grünwald-Letnikov fractional difference
type: Item
instance of: scholarly article
title: New Laguerre filter approximators to the Grünwald-Letnikov fractional difference
zbMATH Open document ID: 1264.94070
DOI: 10.1155/2012/732917
author: Rafał Stanisławski
published in: Mathematical Problems in Engineering
publication date: 2013-06-11T00:00:00Z
review text: Summary: We present 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 \(\alpha \in (0, 2)\). This paper is culminated with the presentation of finite (combined) fractional/Laguerre-based difference (FFLD), whose excellent approximation performance is illustrated in simulation examples.
Mathematics Subject Classification ID: 94A12
Mathematics Subject Classification ID: 34A08
zbMATH DE Number: 6173528
Wikidata QID: Q58911680
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/732917
OpenAlex ID: W2087969262
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description: scientific article; zbMATH DE number 6173528