Title :
Closed-form design of fractional order differentiator using discrete cosine transform
Author :
Chien-Cheng Tseng ; Su-Ling Lee
Author_Institution :
Dept. of Comput. & Commun. Eng., Nat. Kaohsiung First Univ. of Sci. & Tech., Kaohsiung, Taiwan
Abstract :
In this paper, the closed-form design of fractional order differentiator (FOD) using discrete cosine transform (DCT) is presented. First, the definition of fractional derivative is reviewed briefly. Then, the DCT-based interpolation method is applied to compute the fractional derivative of a given digital signal. Next, the transfer function of FOD is obtained from the DCT computational results by using suitable index mapping. Finally, several numerical examples are demonstrated to show the effectiveness of the proposed design method.
Keywords :
discrete cosine transforms; interpolation; transfer functions; DCT; FOD; closed-form design; discrete cosine transform; fractional derivative; fractional order differentiator; index mapping; interpolation; transfer function; Delays; Design methodology; Discrete cosine transforms; Finite impulse response filters; Fractional calculus; IIR filters;
Conference_Titel :
Circuits and Systems (ISCAS), 2013 IEEE International Symposium on
Conference_Location :
Beijing
Print_ISBN :
978-1-4673-5760-9
DOI :
10.1109/ISCAS.2013.6572413
