Title :
Design of IIR fractional differentiator With Peano kernel
Author :
Pei, Soo-Chang ; Wang, Peng-Hua ; Lin, Chia-Huei
Author_Institution :
Dept. of E.E., Nat. Taiwan Univ., Taipei
fDate :
Nov. 30 2008-Dec. 3 2008
Abstract :
A discrete fractional differentiator is proposed in this paper. Through a time domain analysis of the ideal input and output signal of a LTI system, we derive a set of linear equations which can be solved numerically for the filterpsilas impulse response. We also show that the difference between the designed system and the ideal system can be represented by the Peano kernel of the system. Some designing examples of the proposed filter are also demonstrated.
Keywords :
IIR filters; differentiation; linear systems; time-domain analysis; transient response; IIR fractional differentiator; LTI system; Peano kernel; discrete fractional differentiator; fractional calculus; impulse response; linear equations; time domain analysis; Automatic control; Convolution; Delay systems; Equations; Fractional calculus; Image processing; Kernel; Nonlinear filters; Signal design; Time domain analysis;
Conference_Titel :
Circuits and Systems, 2008. APCCAS 2008. IEEE Asia Pacific Conference on
Conference_Location :
Macao
Print_ISBN :
978-1-4244-2341-5
Electronic_ISBN :
978-1-4244-2342-2
DOI :
10.1109/APCCAS.2008.4746159
