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On the Efficient Implementation of an Implicit Discrete-Time Differentiator

Jose Eduardo Carvajal Rubio, Juan Diego Sanchez-Torres, Michael Defoort, Mohamed Djemai, Alexander Loukianov

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…

WSEAS Transactions on circuits and systems, 2021, 20, pp.70-74. ⟨10.37394/23201.2021.20.9⟩. ⟨hal-03710953⟩