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

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dc.contributor.authorSayed, Wafaa S.cs
dc.contributor.authorRoshdy, Mernacs
dc.contributor.authorSaid, Lobna A.cs
dc.contributor.authorHerencsár, Norbertcs
dc.contributor.authorRadwan, Ahmed G.cs
dc.coverage.issue8cs
dc.coverage.volume6cs
dc.date.accessioned2022-09-16T14:50:25Z
dc.date.available2022-09-16T14:50:25Z
dc.date.issued2022-08-07cs
dc.description.abstractThis 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.en
dc.formattextcs
dc.format.extent1-17cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationFractal and Fractional. 2022, vol. 6, issue 8, p. 1-17.en
dc.identifier.doi10.3390/fractalfract6080432cs
dc.identifier.issn2504-3110cs
dc.identifier.other179026cs
dc.identifier.urihttp://hdl.handle.net/11012/208339
dc.language.isoencs
dc.publisherMDPIcs
dc.relation.ispartofFractal and Fractionalcs
dc.relation.urihttps://www.mdpi.com/2504-3110/6/8/432cs
dc.rightsCreative Commons Attribution 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/2504-3110/cs
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/cs
dc.subjectchaosen
dc.subjectCORDICen
dc.subjectencryptionen
dc.subjectfractional-order systemsen
dc.subjectGrunwald-Letnikoven
dc.titleCORDIC-Based FPGA Realization of a Spatially Rotating Translational Fractional-Order Multi-Scroll Grid Chaotic Systemen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-179026en
sync.item.dbtypeVAVen
sync.item.insts2023.01.25 12:56:21en
sync.item.modts2023.01.25 12:14:35en
thesis.grantorVysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií. Ústav telekomunikacícs
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