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New Laguerre Filter Approximators to the Grünwald-Letnikov Fractional Difference.
- Source :
-
Mathematical Problems in Engineering . 2012, Vol. 2012, Special section p1-21. 21p. - Publication Year :
- 2012
-
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 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]
Details
- Language :
- English
- ISSN :
- 1024123X
- Volume :
- 2012
- Database :
- Academic Search Index
- Journal :
- Mathematical Problems in Engineering
- Publication Type :
- Academic Journal
- Accession number :
- 87029571
- Full Text :
- https://doi.org/10.1155/2012/732917