Title :
Design of fractional order digital FIR differentiators using frequency response approximation
Author :
Zhao, Hili ; Qiu, Gang ; Yao, Limin ; Yu, Juebang
Author_Institution :
Sch. of Autom. Eng., Univ. of Electron. Sci. & Technol. of China, Chengdu, China
Abstract :
In this paper, we present a novel method for the design of fractional order FIR differentiators. Firstly, a fractional order differentiator (FOD) of power digital signal is defined in the frequency domain. Secondly, a FIR filter is chosen to approximate the ideal digital FOD under the weighting mean square error (MSE) sense of the frequency response. Finally, design example and fractional derivative simulation are given and the advantages of the proposed method are illustrated.
Keywords :
FIR filters; differentiating circuits; frequency response; mean square error methods; FIR filter; FOD; MSE; fractional derivative simulation; fractional order digital FIR differentiators; frequency response approximation; power digital signal; weighting mean square error; Automation; Equations; Finite impulse response filter; Fourier transforms; Frequency domain analysis; Frequency response; Numerical simulation; Radar signal processing; Signal processing; Sonar detection;
Conference_Titel :
Communications, Circuits and Systems, 2005. Proceedings. 2005 International Conference on
Print_ISBN :
0-7803-9015-6
DOI :
10.1109/ICCCAS.2005.1495349
