On the Efficient Implementation of an Implicit Discrete-Time Differentiator

Author:

Carvajal-Rubio J. E.1,Sanchez-Torres J. D.2,Defoort M.3,Djemai M.3,Loukianov A. G.1

Affiliation:

1. Dept. Of Electrical Engineering, Cinvestav-ipn Guadalajara, Zapopan, Mexico.

2. Dept. Of Mathematics and Physics, Iteso, Tlaquepaque, Mexico.

3. Lamih, Cnrs Umr 8201, Polytechnic University of Hauts-de-france, Valenciennes, France

Abstract

New methodologies are designed to reduce the time complexity of an implicit discrete-time differentiator and the simulation time to implement it. They rely on Horner’s method and the Shaw-Traub algorithm. The algorithms are compared for differentiators of order 3, 7, and 10. The Half-Horner and Full-Horner methods showed the best performance and time complexity.

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

Subject

Electrical and Electronic Engineering

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