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Analog Circuit Implementation ofFractionalOrder Damped Sine and CosineFunctions

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IEEE JOURNAL ON EMERGING AND SELECTED TOPICS IN CIRCUITS AND SYSTEMS

Volume 3, Issue 3, 2013, Pages 386-393

Analog Circuit Implementation of

FractionalOrder Damped Sine and Cosine Functions

H. Nezzari, A. Charef, and D. Boucherma

Abstract: This paper introduces for thefirst time analog circuitimplementations of two fundamental linear fractional order systems whose impulse responses called fractional order damped sineand cosine functions are the inverse Laplace transform of their irrational transfer functions. These analog circuit implementationsare derived through rational function approximations of their irrational transfer functions.

Keywords : Analog circuit, fractionalorder differential equation, fractional order system, irrational function, rational function.

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