Mean square exponentially synchronizes of stochastic chaotic system and application in secure communication

This paper is concerned with the mean square exponentially synchronization of stochastic chaotic system without linear term and its application in secure communication. The synchronization analysis is carried out by mean square exponentially stability theorem. Then we proposed a secure communication scheme about secondary encryption based on this chaos synchronized system. In consideration of interfering Gaussian white noise and chaotic residual signal, we present a denoising method based on synchrosqueezed wavelet transform (SST). The simulation results with the Matlab confirm that this new secure communication system has both merits of strong robustness and good accuracy, and it is easy to implement.