Title :
A General Discretization Scheme for the Design of IIR Fractional Filters
Author :
Barbosa, Ramiro S. ; Machado, J. A Tenreiro ; Jesus, Isabel S.
Author_Institution :
Inst. of Eng. of Porto, Porto
Abstract :
In this paper we present a general discretization scheme for digital fractional-order integrators and differentiators. The proposed scheme yields many of the widely classical s rarr z conversion formulas. A least-squares method for the design of IIR fractional filters is proposed. The design of the recursive digital filter only requires the solution of linear equations. An illustrative example is presented showing the effectiveness of the resulting approximations.
Keywords :
IIR filters; differentiating circuits; integrating circuits; least squares approximations; recursive filters; IIR fractional filter design; digital fractional-order differentiators; digital fractional-order integrators; discretization scheme; least-squares method; linear equations; recursive digital filter design; Automatic control; Control systems; Design engineering; Design methodology; Digital filters; Finite impulse response filter; Fractional calculus; IIR filters; Signal processing algorithms; Three-term control;
Conference_Titel :
Intelligent Systems Design and Applications, 2007. ISDA 2007. Seventh International Conference on
Conference_Location :
Rio de Janeiro
Print_ISBN :
978-0-7695-2976-9
DOI :
10.1109/ISDA.2007.69
