Abstract
This paper is concerned with the finite-time stochastic synchronization of a chaotic system without linear term and its application in secure communication based on synchrosqueezed wavelet transform (SWT). In order to improve the anti-jamming ability of chaotic systems and forecast the synchronization time, proper controllers are designed to achieve finite-time stochastic synchronization for the chaotic system with random perturbation. Based on the proposed chaotic synchronization systems, we present secure communication scheme about secondary encryption to enhance the level of security. Moreover, a novel SWT algorithm is introduced to correctly recover information signals at the end of the scheme. The SWT based scheme can decompose the information signal into a set of intrinsic mode type (IMT) function components. Then, instantaneous frequency and instantaneous amplitude of each IMT component are calculated through Hilbert transform. Simulation results confirm that both the synchronization approach and the security communication scheme are effective. For multi-component signals with adjacent frequency, the accuracy of recovered signals by SWT based on our scheme is higher than that recovered by the other time-frequency denoising methods.
Highlights
Synchronization of chaotic systems has been investigated since it was studied by Pecora and Carroll [1] in 1990
3) We present a novel time-frequency extraction scheme based on the synchrosqueezed wavelet transform (SWT) in the secure communication
Based on the results achieved from the above experiments, the secure communication scheme about secondary encryption can enhance the level of security, and the SWT based scheme has a better extraction effect than empirical mode decomposition (EMD), complete ensemble empirical mode decomposition (CEEMD) and WT, with noise interference
Summary
Synchronization of chaotic systems has been investigated since it was studied by Pecora and Carroll [1] in 1990. Some scholars apply time-frequency analysis methods to extract the harmonic signal from noisy interference in chaotic secure communication. Motivated by the above discussion, in this paper, we propose a novel multistage stochastic chaotic secure communication scheme based on SWT. 1) We establish the finite-time stochastic synchronization criterion of the new chaotic systems without linear term. Different from the existing control scheme in [3, 8], the time of synchronization is finite This criterion solves possible problems of robustness and disturbances for chaotic systems applied in secure communication. 3) We. present a novel time-frequency extraction scheme based on the synchrosqueezed wavelet transform (SWT) in the secure communication.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
