New Laguerre Filter Approximators to the Grünwald-Letnikov Fractional Difference
نویسنده
چکیده
This paper presents a series of new results in modeling of the Grünwald-Letnikov discretetime fractional difference by means of discrete-time Laguerre filers. The introduced Laguerrebased difference LD and combined fractional/Laguerre-based difference CFLD are shown to perfectly approximate its fractional difference original, for fractional order α ∈ 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.
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