@inproceedings{8f6f47c997cb4002af8fea32a0d39d95,
title = "FPGA implementation of fractional-order integrator and differentiator based on Gr{\"u}nwald Letnikov's definition",
abstract = "The fractional-order derivative and integral of Gr{\"u}nwald Letnikov's definition are implemented based on FPGA for different fractional orders. A new algorithm is proposed to implement the GL integral based on linear approximation approach, where the memory dependency of the fractional order systems is eliminated. Moreover, the linear approximation design shows an improvement of 91% and 92% in the error and the mean percentage error compared with prior art. The proposed approach has been designed and implemented based on Verilog Hardware Description Language (HDL) and realized on Nexys 4 Artix-7 FPGA XC7A100T.",
keywords = "FPGA, Fractional calculus, Gr{\"u}nwald-Letnikov, Integrators",
author = "Tolba, {Mohammed F.} and Said, {Lobna A.} and Madian, {Ahmed H.} and Radwan, {Ahmed G.}",
note = "Publisher Copyright: {\textcopyright} 2017 IEEE.; 29th International Conference on Microelectronics, ICM 2017 ; Conference date: 10-12-2017 Through 13-12-2017",
year = "2018",
month = jan,
day = "24",
doi = "10.1109/ICM.2017.8268872",
language = "British English",
series = "Proceedings of the International Conference on Microelectronics, ICM",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "1--4",
booktitle = "2017 29th International Conference on Microelectronics, ICM 2017",
address = "United States",
}