A novel method of realizing stochastic chaotic secure communication by synchrosqueezed wavelet transform

Based on synchrosqueezed wavelet transform (SWT) algorithm, a new stochastic chaotic secure communication scheme is proposed in this paper. Information signals are modulated by additive chaos masking in the sending terminal. In order to improve the anti-jamming ability of chaotic systems, the proper controllers are designed to realize mean square asymptotic synchronization for a class of chaotic systems with random perturbation. In the receiving terminal, unlike the traditional extraction methods, a novel SWT algorithm is introduced to recover information signals correctly. Simulation results verify that both the synchronization approach and the security communication scheme are effective. For multi-component sinusoidal signal with adjacent frequency, the accuracy of signals recovered by SWT is higher than that recovered by empirical mode decomposition (EMD) method, even at the high noise level. Finally, the simulation experiment of the orthogonal frequency division multiplexing (OFDM) signal has been carried out, which proves that the proposed scheme based on SWT can reduce the Bit-Error-Rate than other algorithms even under high noise level.