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Theoretical Design and FPGA-Based Implementation of Higher-Dimensional Digital Chaotic Systems
Wang, Qianxue1; Yu, Simin1; Li, Chengqing2; Lu, Jinhu3; Fang, Xiaole4; Guyeux, Christophe5; Bahi, Jacques M.5
2016-03-01
Source PublicationIEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS
ISSN1549-8328
Volume63Issue:3Pages:401-412
AbstractTraditionally, 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.
KeywordChaotic encryption dynamical degradation FPGA implementation high-dimensional digital chaotic system random number generator
DOI10.1109/TCSI.2016.2515398
Language英语
Funding ProjectNational 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 Research AreaEngineering
WOS SubjectEngineering, Electrical & Electronic
WOS IDWOS:000374443800007
PublisherIEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/22679
Collection系统科学研究所
Corresponding AuthorYu, Simin; Li, Chengqing; Lu, Jinhu
Affiliation1.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
Recommended Citation
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.
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