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SAYED, W. S. ROSHDY, M. SAID, L. A. HERENCSÁR, N. RADWAN, A. G.
Originální název
CORDIC-Based FPGA Realization of a Spatially Rotating Translational Fractional-Order Multi-Scroll Grid Chaotic System
Typ
článek v časopise ve Web of Science, Jimp
Jazyk
angličtina
Originální abstrakt
This paper proposes an algorithm and hardware realization of generalized chaotic systems using fractional calculus and rotation algorithms. Enhanced chaotic properties, flexibility, and controllability are achieved using fractional orders, a multi-scroll grid, a dynamic rotation angle(s) in two- and three-dimensional space, and translational parameters. The rotated system is successfully utilized as a Pseudo-Random Number Generator (PRNG) in an image encryption scheme. It preserves the chaotic dynamics and exhibits continuous chaotic behavior for all values of the rotation angle. The Coordinate Rotation Digital Computer (CORDIC) algorithm is used to implement rotation and the Grunwald-Letnikov (GL) technique is used for solving the fractional-order system. CORDIC enables complete control and dynamic spatial rotation by providing real-time computation of the sine and cosine functions. The proposed hardware architectures are realized on a Field-Programmable Gate Array (FPGA) using the Xilinx ISE 14.7 on Artix 7 XC7A100T kit. The Intellectual-Property (IP)-core-based implementation generates sine and cosine functions with a one-clock-cycle latency and provides a generic framework for rotating any chaotic system given its system of differential equations. The achieved throughputs are 821.92 Mbits/s and 520.768 Mbits/s for two- and three-dimensional rotating chaotic systems, respectively. Because it is amenable to digital realization, the proposed spatially rotating translational fractional-order multi-scroll grid chaotic system can fit various secure communication and motion control applications.
Klíčová slova
chaos; CORDIC; encryption; fractional-order systems; Grunwald-Letnikov
Autoři
SAYED, W. S.; ROSHDY, M.; SAID, L. A.; HERENCSÁR, N.; RADWAN, A. G.
Vydáno
7. 8. 2022
Nakladatel
MDPI
Místo
BASEL
ISSN
2504-3110
Periodikum
Fractal and Fractional
Ročník
6
Číslo
8
Stát
Švýcarská konfederace
Strany od
1
Strany do
17
Strany počet
URL
https://www.mdpi.com/2504-3110/6/8/432
Plný text v Digitální knihovně
http://hdl.handle.net/11012/208339
BibTex
@article{BUT179026, author="Wafaa S. {Sayed} and Merna {Roshdy} and Lobna A. {Said} and Norbert {Herencsár} and Ahmed G. {Radwan}", title="CORDIC-Based FPGA Realization of a Spatially Rotating Translational Fractional-Order Multi-Scroll Grid Chaotic System", journal="Fractal and Fractional", year="2022", volume="6", number="8", pages="1--17", doi="10.3390/fractalfract6080432", issn="2504-3110", url="https://www.mdpi.com/2504-3110/6/8/432" }