New Laguerre Filter Approximators to the Grünwald-Letnikov Fractional Difference

Rafał Stanisławski

Mathematical Problems in Engineering, 2012, vol. 2012, 1-21

Abstract:

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:732917

DOI: 10.1155/2012/732917

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