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- Title
A Unified FPGA Realization for Fractional-Order Integrator and Differentiator.
- Authors
Monir, Mohamed S.; Sayed, Wafaa S.; Madian, Ahmed H.; Radwan, Ahmed G.; Said, Lobna A.
- Abstract
This paper proposes a generic FPGA realization of an IP core for fractional-order integration and differentiation based on the Grünwald–Letnikov approximation. All fractional-order dependent terms are approximated to simpler relations using curve fitting to enable an efficient hardware realization. Compared to previous works, the proposed design introduces enhancements in the fractional-order range covering both integration and differentiation. An error analysis between software and hardware results is presented for sine, triangle and sawtooth signals. The proposed generic design is realized on XC7A100T FPGA achieving frequency of 9.328 MHz and validated experimentally for a sine input signal on the oscilloscope. The proposed unified generic design is suitable for biomedical signal processing applications. In addition, it can be employed as a laboratory tool for fractional calculus education.
- Subjects
BIOMEDICAL signal processing; INTEGRATORS; CALCULUS education; KERNEL operating systems; FRACTIONAL calculus; CURVE fitting
- Publication
Electronics (2079-9292), 2022, Vol 11, Issue 13, pN.PAG
- ISSN
2079-9292
- Publication type
Article
- DOI
10.3390/electronics11132052