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arXiv · 2105.00126

On the Efficient Implementation of an Implicit Discrete-Time Differentiator

José Eduardo Carvajal-Rubio·Juan Diego Sánchez-Torres·Michael Defoort·Mohamed Djemai·Alexander G. Loukianov
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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 orders 3, 7, and 10. The Half-Horner and Full-Horner methods showed the best performance and time complexity.

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José Eduardo Carvajal-Rubio, Juan Diego Sánchez-Torres, Michael Defoort, Mohamed Djemai, Alexander G. Loukianov. 2021-05-01. On the Efficient Implementation of an Implicit Discrete-Time Differentiator. https://arxiv.org/abs/2105.00126

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