New Laguerre Filter Approximators to the Grünwald-Letnikov Fractional Difference
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-12-30
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Stanisławski, Rafał. 2012. New Laguerre Filter Approximators to the Grünwald-Letnikov Fractional Difference. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-1001873
Modern Language Association (MLA)
Stanisławski, Rafał. New Laguerre Filter Approximators to the Grünwald-Letnikov Fractional Difference. Mathematical Problems in Engineering No. 2012 (2012), pp.1-21.
https://search.emarefa.net/detail/BIM-1001873
American Medical Association (AMA)
Stanisławski, Rafał. New Laguerre Filter Approximators to the Grünwald-Letnikov Fractional Difference. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-1001873
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1001873