Synchronization of uncertain constrained hyperchaotic systems and chaos-based secure communications via a novel decomposed nonlinear stochastic estimator
Synchronization of uncertain constrained hyperchaotic systems and chaos-based secure communications via a novel decomposed nonlinear stochastic estimator
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DOI：
10.1007/s11071-015-2474-6
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发表时间：
2016-03-01
影响因子：
5.6
通讯作者：
Hassan, Mohamed F.
中科院分区：
文献类型：
--
作者：
Hassan, Mohamed F.
本文提出了一种用于噪声公共信道中通信的安全混沌方案。除了典型的数据加密技术之外，该方案还基于载体加密的概念。在发射机端，将具有自适应参数的统一混沌系统和具有不确定参数的超混沌Rossler系统耦合、约束并用作新的超混沌系统，该系统产生不同于任何已知混沌振荡器的波形。在用加密的数据信号调制系统的输出之一之后，系统的输出使用一组预定义的加密规则进行加密，并通过嘈杂的公共通信信道传输到接收端。在接收端，接收的输出被解密，并通过使用新颖的离散时间迭代分解不确定约束扩展卡尔曼滤波器（IDUCEKF）重建约束超混沌信号来检索传输的数据。所提出的状态估计器除了用于处理不确定约束非线性动力系统的估计问题外，还减少了所需的处理时间并提供了良好的数值性能。首先给出了仿真结果来说明 IDUCEKF 在同步约束超混沌系统状态中的适用性。然后，将所提出的安全通信方案应用于传输图像，并评估传输过程的质量。获得的结果表明了所提出方法的有效性。
In this paper, a secure chaotic scheme for communications in noisy public channel is proposed. This scheme is based on the concept of carrier encryption in addition to the typical data encryption techniques. At the transmitter end, the unified chaotic system with adaptive parameter and a hyperchaotic Rossler system with uncertain parameters are coupled, constrained and used as a new hyperchaotic system which generates waveforms that are different from those of any known chaotic oscillator. After modulating one of the outputs of the system with the encrypted data signal, the outputs of the system are encrypted using a set of pre-defined encryption rules and transmitted to the receiving end through a noisy public communications channel. At the receiving end, the received outputs are decrypted and the transmitted data are retrieved by reconstructing the constrained hyperchaotic signals using the novel discrete-time iterative decomposed uncertain constrained extended Kalman filter (IDUCEKF). The proposed state estimator, besides being used to handle the estimation problem of uncertain constrained nonlinear dynamical systems, reduces the required processing time and gives good numerical performance. Simulation results are firstly presented to illustrate the applicability of the IDUCEKF in synchronizing the states of the constrained hyperchaotic system. Then, the proposed secure communication scheme is applied to transmit images, and the quality of the transmission process is assessed. The obtained results show the effectiveness of the proposed approach.