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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
