Secure digital communications systems based on nonlinear dynamics

混沌信号已被提出作为宽带信息载体，具有在数据传输中提供高水平鲁棒性和保密性的潜力。目前，实用的基于混沌的通信收发器无法提供每秒兆位数量级的可支持数据速率。该计划的主要目标在于从混沌信号提供的特征中提供一种新的数字通信方法，该方法可以支持快速有效的数据传输，同时满足当前对低功耗，低成本和高安全性的需求。在本研究计划的第一个主题中，我们计划通过提出基于这些通信系统的新颖数学模型的调制方案来提高频谱效率。随后，我们将分析将一些混沌调制从单载波扩展到多载波，并结合多输入多输出传输和空频编码来满足高数据速率要求的好处。**为了保护私有数据库，安全在医疗保健、法医、电信和其他领域变得越来越重要。随机数生成器（rng）的应用对于加密密钥的生成、加密协议中某些变量的随机初始化以及安全应用都是非常重要的。由于对初始条件的极端敏感性，人们提出了许多基于模拟和确定性混沌现象的随机数发生器。其中一些只进行了模拟，而另一些还没有针对加密应用程序进行充分优化。在本研究项目中，我们将首先研究一些rng的随机性和优化标准。然后，我们提出了最近引入基于马尔可夫映射的确定性混沌电路的rng的实际实现。我们未来的收发器将集成这些rng以提高安全性。最后，我们计划实现所提出系统的硬件原型，并为探索基于混沌的通信系统中的挑战性问题打开新的窗口。************************

Chaotic signals have been proposed as broadband information carriers with the potential of providing a high level of robustness and privacy in data transmission. At the present time, practical chaos-based communication transceivers fail to offer supportable data rates of the order of megabit per second. The primary goal of this program lies in providing a novel approach to digital communications from the features offered by chaotic signals that can support fast and efficient data transmission while meeting the current demands for low power, low cost and high security. In the first theme of this research program, we plan to improve spectral efficiency by proposing modulation schemes based on novel mathematical models of these communication systems. Later, we will analyze the benefits of extending some chaotic modulations from mono-carrier to multi-carrier combined with multiple-inputs multiple-outputs transmissions and space-frequency coding to meet the requirements in high data rate. **Security has become increasingly important in healthcare, forensics, telecommunications and other fields in order to protect private databases. The applications of Random Number Generators (RNGs) are extremely important for the generation of cryptographic keys, the random initialization of certain variables in cryptographic protocols and secure applications. Because of the extreme sensitivity to initial conditions, many random number generators based on analog and deterministic chaotic phenomena have been proposed. Some of them have only been simulated, while others have not been sufficiently optimized for cryptographic applications. In this research program, we will first study the randomness and the optimized criteria of some proposed RNGs. Then, we propose practical implementations of RNGs that have recently introduced deterministic chaos circuit based on the Markov map. Our future transceivers will integrate these RNGs in order to increase security behaviours. Finally, we plan to implement hardware prototypes of the proposed systems and open new windows for exploring challenging problems in chaos-based communication systems.************************