This letter deals with the discrete approximation of the fractional-order differentiator s^0.5. The proposed approach is based on the efficient continued fraction approximation of the operator. The discrete differentiator is expressed as a z-transfer function, whose coefficients are given in closed form in terms of the sampling time and an approximation parameter. Simulation experiments show the efficiency of the approximation with low-order z-transfer functions.

A Rational Discrete Approximation to the Operator s^0.5 / Maione, Guido. - In: IEEE SIGNAL PROCESSING LETTERS. - ISSN 1070-9908. - 13:3(2006), pp. 141-144. [10.1109/LSP.2005.862615]

A Rational Discrete Approximation to the Operator s^0.5

MAIONE, Guido
2006-01-01

Abstract

This letter deals with the discrete approximation of the fractional-order differentiator s^0.5. The proposed approach is based on the efficient continued fraction approximation of the operator. The discrete differentiator is expressed as a z-transfer function, whose coefficients are given in closed form in terms of the sampling time and an approximation parameter. Simulation experiments show the efficiency of the approximation with low-order z-transfer functions.
2006
A Rational Discrete Approximation to the Operator s^0.5 / Maione, Guido. - In: IEEE SIGNAL PROCESSING LETTERS. - ISSN 1070-9908. - 13:3(2006), pp. 141-144. [10.1109/LSP.2005.862615]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11589/9105
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