DocumentCode
430703
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.
Volume
1
fYear
2004
fDate
6-9 Dec. 2004
Firstpage
405
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Circuits and Systems, 2004. Proceedings. The 2004 IEEE Asia-Pacific Conference on
Conference_Location
Tainan
Print_ISBN
0-7803-8660-4
Type
conf
DOI
10.1109/APCCAS.2004.1412781
Filename
1412781
Link To Document