Detail publikace

CORDIC-Based FPGA Realization of a Spatially Rotating Translational Fractional-Order Multi-Scroll Grid Chaotic System

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

17

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"
}