Title :
A rational discrete approximation to the operator s0.5
Author_Institution :
Dipt. di Ingegneria dell´´Ambiente e per lo Sviluppo Sostenibile, Politecnico di Bari, Taranto, Italy
fDate :
3/1/2006 12:00:00 AM
Abstract :
This letter deals with the discrete approximation of the fractional-order differentiator s0.5. 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.
Keywords :
differentiation; discrete Fourier transforms; function approximation; rational functions; signal sampling; transfer functions; closed form coefficient; fractional calculus; fractional-order differentiator; operator s0.5; rational discrete approximation; sampling time; z-transfer function; 1f noise; Biomedical optical imaging; Biomedical signal processing; Convergence; Fourier transforms; Fractional calculus; Optical filters; Optical signal processing; Sampling methods; Taylor series; Digital differentiators; fractional calculus (FC); fractional-order derivatives;
Journal_Title :
Signal Processing Letters, IEEE
DOI :
10.1109/LSP.2005.862615
