FPGA implementation of fractional-order integrator and differentiator based on Grünwald Letnikov's definition

Mohammed F. Tolba, Lobna A. Said, Ahmed H. Madian, Ahmed G. Radwan

    Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

    27 Scopus citations

    Abstract

    The fractional-order derivative and integral of Grünwald 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.

    Original languageBritish English
    Title of host publication2017 29th International Conference on Microelectronics, ICM 2017
    PublisherInstitute of Electrical and Electronics Engineers Inc.
    Pages1-4
    Number of pages4
    ISBN (Electronic)9781538640494
    DOIs
    StatePublished - 24 Jan 2018
    Event29th International Conference on Microelectronics, ICM 2017 - Beirut, Lebanon
    Duration: 10 Dec 201713 Dec 2017

    Publication series

    NameProceedings of the International Conference on Microelectronics, ICM
    Volume2017-December

    Conference

    Conference29th International Conference on Microelectronics, ICM 2017
    Country/TerritoryLebanon
    CityBeirut
    Period10/12/1713/12/17

    Keywords

    • FPGA
    • Fractional calculus
    • Grünwald-Letnikov
    • Integrators

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