Time Lag Feedback Chaos Synchronization and Its Advantage for Noise Reduction

Noise reduction is one of the key questions needed to be solved in chaos synchronization communication. The feedback synchronization of chaotic systems commonly is non-time-lag feedback synchronization. In this paper, we present a method of time lag feedback synchronization of chaotic systems. Taking Lorenz chaotic system as a example, we have proved the sufficient condition of synchronization stability by time lag feedback control method between driver system and response system, when driver system and response system are all Lorenz system. Then, taking the method of time lag feedback synchronization to eliminate noise effect, indicate that it is much better than common synchronization method. By simulating Lorenz system parameter modulation signal transmission through the channel existing noise, we can see the noise reduction advantage of time lag feedback chaos synchronization.