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 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. [ABSTRACT FROM AUTHOR]