A chaotic synchronization system based on memristor for weak signal detection and its circuit implementation

Traditional methods for detecting weak signals by using the critical thresholds and state transitions of chaotic systems have certain disadvantages, such as the complicated calculation of the critical thresholds and the difficulty of determining the states of operation of the system. To resolve these issues, the authors propose a van der Pol-Duffing chaotic synchronization system based on the memristor and examine its dynamic characteristics. The state of synchronization of the system is influenced when a signal is added to it, and the values of the parameters of the signal can be obtained by analyzing the errors in synchronization. The results of experiments showed that the proposed system needed less than 30 s to reach a stable synchronous state while maintaining a high efficiency of detection, where this is significantly shorter than the time taken by several widely used chaotic detection systems. Moreover, it could accurately detect the frequency, phase, and amplitude of the signal, and there was nearly no limit in its range of detection of the latter parameter. Furthermore, the authors implemented the proposed system in a circuit, and this verified the potential for implementing an accurate and efficient method of detecting multiple parameters of weak signals over a wide range of amplitudes.