Time-Delay Characteristics of Complex Lü System and Its Application in Speech Communication

Although complex Lu systems have been considered in many studies, application of the self-time-delay synchronization (STDS) of complex Lu systems in secure speech communications does not appear to have been covered in much of the literature. Therefore, it is meaningful to study the STDS of complex Lu systems and its application in secure speech communication. First, a complex Lu system with double time-delay is introduced and its chaotic characteristics are analyzed. Second, a synchronization controller is designed to achieve STDS. Third, the improved STDS controller is used to design a speech communication scheme based on a complex Lu system. Finally, the effectiveness of the controller and communication scheme are verified by simulation.