DocumentCode
66888
Title
Analog Circuit Implementation of Fractional Order Damped Sine and Cosine Functions
Author
Nezzari, Hassene ; Charef, A. ; Boucherma, Djamel
Author_Institution
Unite de Rech. en Technol. Industriel URTI, CSC, Annaba, Algeria
Volume
3
Issue
3
fYear
2013
fDate
Sept. 2013
Firstpage
386
Lastpage
393
Abstract
This paper introduces for the first time analog circuit implementations of two fundamental linear fractional order systems whose impulse responses called fractional order damped sine and cosine functions are the inverse Laplace transform of their irrational transfer functions. These analog circuit implementations are derived through rational function approximations of their irrational transfer functions.
Keywords
Laplace transforms; analogue circuits; inverse transforms; transfer functions; transient response; analog circuit implementation; fractional order damped sine-cosine functions; impulse responses; inverse Laplace transform; irrational transfer functions; rational function approximations; Analog circuits; Function approximation; Laplace equations; Transfer functions; Analog circuit; fractional order differential equation; fractional order system; irrational function; rational function;
fLanguage
English
Journal_Title
Emerging and Selected Topics in Circuits and Systems, IEEE Journal on
Publisher
ieee
ISSN
2156-3357
Type
jour
DOI
10.1109/JETCAS.2013.2273854
Filename
6573366
Link To Document