TY - JOUR
T1 - Theoretical Design and FPGA-Based Implementation of Higher-Dimensional Digital Chaotic Systems
AU - Wang, Qianxue
AU - Yu, Simin
AU - Li, Chengqing
AU - Lu, Jinhu
AU - Fang, Xiaole
AU - Guyeux, Christophe
AU - Bahi, Jacques M.
N1 - Publisher Copyright:
© 2016 IEEE.
PY - 2016/3
Y1 - 2016/3
N2 - 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.
AB - 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.
KW - Chaotic encryption
KW - FPGA implementation
KW - dynamical degradation
KW - high-dimensional digital chaotic system
KW - random number generator
UR - https://www.scopus.com/pages/publications/84979468263
U2 - 10.1109/TCSI.2016.2515398
DO - 10.1109/TCSI.2016.2515398
M3 - 文章
AN - SCOPUS:84979468263
SN - 1549-8328
VL - 63
SP - 401
EP - 412
JO - IEEE Transactions on Circuits and Systems
JF - IEEE Transactions on Circuits and Systems
IS - 3
M1 - 7444163
ER -