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 ShawTraub algorithm. The algorithms are compared for differentiators of order 3, 7, and 10. The HalfHorner and Full-Horner methods showed the best performance and time complexity
J. E. Carvajal-Rubio, J. D. Sanchez-Torres, M. Defoort, M. Djemai, A. G. Loukianov, "On the Efficient Implementation of an Implicit Discrete-Time Differentiator," WSEAS Transactions on Circuits and Systems, vol. 20, pp. 70-74, 2021, DOI:10.37394/23201.2021.20.9
J. E. Carvajal-Rubio, J. D. Sanchez-Torres, M. Defoort, M. Djemai, A. G. Loukianov. On the Efficient Implementation of an Implicit Discrete-Time Differentiator.
WSEAS Transactions on Circuits and Systems. 2021;20:70-74. 10.37394/23201.2021.20.9