Secure digital communications systems based on nonlinear dynamics

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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.