A Novel Weak Signal Detection Method via Chaotic Synchronization Using Chua's Circuit

This paper presents a novel detection method for weak sinusoidal signal embedded in strong noise. Two synchronization systems are constructed to implement this method, in which one is used to estimate the frequency and phase angle, the other is used to estimate the amplitude. The detection process is achieved in three steps. First, two synchronization systems are established based on chaotic synchronization theorem and adaptive algorithm. The test signal is injected into their driving ends. Second, in the first synchronization system, the frequency of the sinusoidal signal is obtained by the MUSIC algorithm. Then, the reference sinusoidal signal with this frequency can be generated and correlated with the test signal. The phase difference between them is obtained. Finally, in the second synchronization system, the amplitude of the reference signal is close to the actual amplitude of the sinusoidal signal in the process of synchronization. This detection system is achieved by the Chua's circuit, and its detection characteristics are verified by simulation and experimentation. The results show that it is feasible to obtain the parameters of the sinusoidal signal. It retains excellent detection performance, simplifies parameters setting, avoids the solution of the running state, and is easy to achieve.