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SAYED, W. S. ROSHDY, M. SAID, L. A. HERENCSÁR, N. RADWAN, A. G.
Original Title
CORDIC-Based FPGA Realization of a Spatially Rotating Translational Fractional-Order Multi-Scroll Grid Chaotic System
Type
journal article in Web of Science
Language
English
Original Abstract
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.
Keywords
chaos; CORDIC; encryption; fractional-order systems; Grunwald-Letnikov
Authors
SAYED, W. S.; ROSHDY, M.; SAID, L. A.; HERENCSÁR, N.; RADWAN, A. G.
Released
7. 8. 2022
Publisher
MDPI
Location
BASEL
ISBN
2504-3110
Periodical
Fractal and Fractional
Year of study
6
Number
8
State
Swiss Confederation
Pages from
1
Pages to
17
Pages count
URL
https://www.mdpi.com/2504-3110/6/8/432
Full text in the Digital Library
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" }