Theoretical Design and FPGA-Based Implementation of Higher-Dimensional Digital Chaotic Systems

doi:10.1109/TCSI.2016.2515398

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	Theoretical Design and FPGA-Based Implementation of Higher-Dimensional Digital Chaotic Systems
	Wang, Qianxue 1; Yu, Simin 1; Li, Chengqing 2; Lu, Jinhu3 ; Fang, Xiaole 4; Guyeux, Christophe 5; Bahi, Jacques M.5
	2016-03-01
发表期刊	IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS
ISSN	1549-8328
卷号	63 期号:3 页码:401-412
摘要	Traditionally, chaotic systems are built on the domain of infinite precision in mathematics. However, the quantization is inevitable for any digital devices, which causes dynamical degradation. To cope with this problem, many methods were proposed, such as perturbing chaotic states and cascading multiple chaotic systems. This paper aims at developing a novel methodology to design the higher-dimensional digital chaotic systems (HDDCS) in the domain of finite precision. The proposed system is based on the chaos generation strategy controlled by random sequences. It is proven to satisfy the Devaney's definition of chaos. Also, we calculate the Lyapunov exponents for HDDCS. The application of HDDCS in image encryption is demonstrated via FPGA platform. As each operation of HDDCS is executed in the same fixed precision, no quantization loss occurs. Therefore, it provides a perfect solution to the dynamical degradation of digital chaos.
关键词	Chaotic encryption dynamical degradation FPGA implementation high-dimensional digital chaotic system random number generator
DOI	10.1109/TCSI.2016.2515398
语种	英语
资助项目	National Science and Technology Major Project of China[2014ZX10004001-014] ; National Natural Science Foundation of China[61532020] ; National Natural Science Foundation of China[61172023] ; National Natural Science Foundation of China[11472290] ; China Postdoctoral Science Foundation[2014M552175] ; Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry ; Hunan Provincial Natural Science Foundation of China[2015JJ1013]
WOS研究方向	Engineering
WOS类目	Engineering, Electrical & Electronic
WOS记录号	WOS:000374443800007
出版者	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/22679
专题	系统科学研究所
通讯作者	Yu, Simin; Li, Chengqing; Lu, Jinhu
作者单位	1.Guangdong Univ Technol, Coll Automat, Guangzhou 510006, Guangdong, Peoples R China 2.Xiangtan Univ, Coll Informat Engn, Xiangtan 411105, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 4.Land & Resources Technol Ctr Guangdong Prov, Guangzhou 510075, Guangdong, Peoples R China 5.Univ Franche Comte, CNRS, UMR 6174, Femtost Inst, F-25000 Besancon, France
推荐引用方式 GB/T 7714	Wang, Qianxue,Yu, Simin,Li, Chengqing,et al. Theoretical Design and FPGA-Based Implementation of Higher-Dimensional Digital Chaotic Systems[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS,2016,63(3):401-412.
APA	Wang, Qianxue.,Yu, Simin.,Li, Chengqing.,Lu, Jinhu.,Fang, Xiaole.,...&Bahi, Jacques M..(2016).Theoretical Design and FPGA-Based Implementation of Higher-Dimensional Digital Chaotic Systems.IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS,63(3),401-412.
MLA	Wang, Qianxue,et al."Theoretical Design and FPGA-Based Implementation of Higher-Dimensional Digital Chaotic Systems".IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS 63.3(2016):401-412.