Abstract
Although complex Lü systems have been considered in many studies, application of the self-time-delay synchronization (STDS) of complex Lü 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 Lü systems and its application in secure speech communication. First, a complex Lü 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 Lü system. Finally, the effectiveness of the controller and communication scheme are verified by simulation.
Highlights
The synchronization of complex dynamic chaotic systems can reveal many natural phenomena, and has many applications in image processing, security communication, and mechanical engineering
A complex Lü system with time-delay has been studied in several papers and in different dimensions [20–22], but the application of self-time-delay synchronization (STDS) in secure communication is not present in much
The STDS controller designed in this article can encrypt by using linear equations for state variables, which is very different from previous encryption methods
Summary
The synchronization of complex dynamic chaotic systems can reveal many natural phenomena, and has many applications in image processing, security communication, and mechanical engineering (see [1–5]). A complex Lü system with time-delay has been studied in several papers and in different dimensions [20–22], but the application of STDS in secure communication is not present in much. The STDS controller designed in this article can encrypt by using linear equations for state variables, which is very different from previous encryption methods. The time-delay characteristics of complex Lü systems with different parameters are studied and a controller for realizing STDS is designed; The evolved STDS controller is applied to the encryption of speech communication using linear equations of state variables and its effect is verified by simulation experiments.
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