Publication detail

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.

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

17

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"
}