Title :
Design of second order digital differentiator using Richardson extrapolation and fractional delay
Author :
Tseng, Chien Cheng ; Lee, Su Ling
Author_Institution :
Depart. of Comput. & Commun. Eng., Nat. Kaohsiung First Univ. of Sci. & Technol., Kaohsiung
Abstract :
In this paper, the design of second order differentiator is investigated. First, the backward difference formula in numerical differentiation is applied to derive the transfer function of second order differentiator. Then, the Richardson extrapolation is used to generate high-accuracy results while using low- order formulas. Next, conventional Lagrange FIR fractional delay filter is directly applied to implement the designed second order differentiator. Finally, several numerical examples are illustrated to demonstrate the effectiveness of this new design approach.
Keywords :
FIR filters; differentiation; digital arithmetic; extrapolation; transfer functions; Lagrange FIR fractional delay filter; Richardson extrapolation; backward difference formula; numerical differentiation; second order differentiator; second order digital differentiator; transfer function; Biomedical computing; Delay; Design engineering; Extrapolation; Finite impulse response filter; Frequency response; Image edge detection; Lagrangian functions; Partial differential equations; Transfer functions;
Conference_Titel :
Circuits and Systems, 2008. ISCAS 2008. IEEE International Symposium on
Conference_Location :
Seattle, WA
Print_ISBN :
978-1-4244-1683-7
Electronic_ISBN :
978-1-4244-1684-4
DOI :
10.1109/ISCAS.2008.4541619
