Open AccessOn the Efficient Implementation of an Implicit Discrete-Time Differentiator
Author(s) -
Juan Diego SánchezTorres,
Juan Diego SánchezTorres,
Michaël Defoort,
Mohamed Djemaï,
Alexander G. Loukianov
Publication year - 2021
Publication title -
wseas transactions on circuits and systems/wseas transactions on circuits
Language(s) - English
Resource type - Journals
eISSN - 2224-266X
pISSN - 1109-2734
DOI - 10.37394/23201.2021.20.9
Subject(s) - differentiator , computer science , discrete time and continuous time , algorithm , mathematics , statistics , telecommunications , bandwidth (computing)
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.