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Research of Secure Communication Based on Chaos Control Theory

Author: QuShenMing
Tutor: ShenShiLei；WuXiangJun
School: Henan University
Course: Applied Computer Technology
Keywords: Chaos Control Chaos synchronization Fractional Chaos Hyperchaotic system Secure communication
CLC: O415.5
Type: Master's thesis
Year: 2010
Downloads: 93
Quote: 1
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Abstract


Chaos theory is an important branch of nonlinear science research system from an ordered state suddenly becomes disordered state of evolution theory, the pathway is formed by the the inherent random process deterministic system mechanism seminar together with the theory of relativity, quantum mechanics known as the three technological revolution of the 20th century. Chaotic signal due to the excellent characteristics of its ergodicity, non-periodic, continuous broadband spectrum, like noise, has a great prospect in the field of secure communication. In the context of rapid construction of information technology, information security has become increasingly important, Chaos Theory booming, study chaotic synchronization control method and its application in secure communication has important theoretical significance and application value. In this paper, theoretical analysis and numerical simulation verification method of combining, study chaos synchronization control theory applications in secure communications. First, the study the R? Ssler system chaos control problem. Routh-Hurwitz criterion, given the controlled R? Ssler System Stabilization to the conditions of the unstable equilibrium point, and design a linear feedback controller. Second, synchronization of fractional order chaotic system projection. Fractional linear stability theory and pole configuration technology, design fractional order state observer, the fractional order Lü chaotic system of projective synchronization. Design synchronization programs do not calculate the Lyapunov exponent, projective synchronization can be achieved in any proportion. The numerical simulation results show that the synchronization time shorter. Again, based on the state observer and the Routh-Hurwitz criterion, chaos synchronization problem for a class of chaotic systems. Chaotic masking technology at the sending end use of the original information confidential communication to successfully recover the original signal at the receiving end. The numerical simulation results show that this design the program with a synchronous speed signal decryption precision. Finally, a chaotic parameter modulation secure communication scheme hyperchaotic Chen system design. Adaptive synchronization method to achieve synchronization of two hyperchaotic system with unknown parameters and identify the unknown parameters to recover the information signal by estimating the parameters. Hyperchaotic systems for the communication scheme, with low-dimensional chaotic systems, recovery time and the accuracy of the information signal, the frequency of the information signal is insensitive, faster recovery, recovery of high precision.

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CLC: > Mathematical sciences and chemical > Physics > Theoretical Physics > Nonlinear physics > Chaos Theory
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