WSEAS TRANSACTIONS ON CIRCUITS AND SYSTEMS • Vol 20
On the Efficient Implementation of an Implicit Discrete-Time Differentiator
May 2021 • J. E. Carvajal-Rubio, Juan Diego Sánchez‐Torres, Michaël Defoort, Mohamed Djemaï, Alexander G. 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 Full-Horner methods showed the best performance and time complexity.