Title :
Design and application of variable fractional order differentiator
Author :
Tseng, Chien-Cheng
Author_Institution :
Dept. of Comput. & Commun. Eng., National Kaohsiung First Univ. of Sci. & Technol.
Abstract :
In this paper, the design problem and application of the variable fractional order differentiator (VFOD) are investigated. First, the Cauchy integral formula is generalized to define the fractional derivative of function. Then, the weighted least squares method is presented to design FIR variable fractional order differentiator. Finally, VFOD is applied to synthesize and analyze 1/f noise process. Simulation results demonstrate that the proposed method can generate more accurate 1/f noise than the conventional fractional differencing method
Keywords :
1/f noise; FIR filters; differential equations; least mean squares methods; 1/f noise; Cauchy integral formula; FIR differentiator; fractional derivative; variable fractional order differentiator; weighted least squares method; 1f noise; Application software; Clouds; Design engineering; Finite impulse response filter; Fourier transforms; Image edge detection; Least squares methods; Noise generators; Signal processing;
Conference_Titel :
Circuits and Systems, 2004. Proceedings. The 2004 IEEE Asia-Pacific Conference on
Conference_Location :
Tainan
Print_ISBN :
0-7803-8660-4
DOI :
10.1109/APCCAS.2004.1412781
