Design of Fractional Order Digital Differentiator Using Radial Basis Function

Author

Tseng, Chien-Cheng ; Lee, Su-Ling

Author_Institution

Dept. of Comput. & Commun. Eng., Nat. Kaohsiung First Univ. of Sci. & Technol., Kaohsiung, Taiwan

Volume

57

Issue

7

fYear

2010

fDate

7/1/2010 12:00:00 AM

Firstpage

1708

Lastpage

1718

Abstract

In this paper, the design of fractional order digital differentiator is investigated. First, the radial basis function interpolation method is described. Then, the non-integer delay sample estimation of discrete-time sequence is derived by using the radial basis function interpolation approach. Next, the Grünwald-Letnikov derivative and non-integer delay sample estimation are applied to obtain the transfer function of fractional order digital differentiator. Finally, the applications in digital image sharpening and parameter estimation of fractional noise process are studied to demonstrate the usefulness of this new design approach.

Keywords

differentiation; image processing; interpolation; transfer functions; Grunwald-Letnikov derivative; digital image sharpening; discrete-time sequence; fractional noise process; fractional order digital differentiator; noninteger delay sample estimation; parameter estimation; radial basis function interpolation; transfer function; Digital differentiator; fractional derivative; image sharpening; non-integer delay; radial basis function;

fLanguage

English

Journal_Title

Circuits and Systems I: Regular Papers, IEEE Transactions on

Publisher

ieee

ISSN

1549-8328

Type

jour

DOI

10.1109/TCSI.2009.2034808

Filename

5395598