Title :
Concerning continued fractions representation of noninteger order digital differentiators
Author_Institution :
Dipt. di Ingegneria dell´´Ambiente e per to Sviluppo Sostembile, Politecnico di Bari, Taranto
Abstract :
The discretization of a fractional-order differentiator snu , where nu is a real number 0<nu<1, is an important issue in digital signal processing. This letter gives the analytical expression of the convergents of a continued fraction expansion of the binomial (1+s)nu to get a rapidly convergent, stable, minimum-phase approximation of digital differentiators
Keywords :
approximation theory; convergence of numerical methods; differentiation; signal representation; continued fraction representation; convergents; digital signal processing; minimum-phase approximation; noninteger order digital differentiators; Biology; Biomedical signal processing; Convergence; Digital signal processing; Finite impulse response filter; Fractional calculus; IIR filters; Physics; Digital differentiators; fractional calculus; noninteger order differentiators;
Journal_Title :
Signal Processing Letters, IEEE
DOI :
10.1109/LSP.2006.879866
