Application of Weak Signal Detection Based on Improved Duffing Chaotic System

Purpose There are precious fruits that have certified the superiority of Duffing chaotic system in weak signal detection. Whether the critical threshold can be accurately determined is the key in weak signal detection. Methods However, the application of the 0-1 test to discriminate the critical threshold for chaotic systems has not been reported. In this work, we implement an improved Duffing chaotic system for periodic weak signal detection and investigate dynamical characteristics. The advantage of the improved Duffing system for wide area detection is demonstrated by analyzing the corresponding Lyapunov exponent spectrum and bifurcation diagram. Results Again, the critical threshold is established by the 0 - 1 test and the threshold accuracy is enhanced. Then, the improved Duffing chaotic circuit is designed, and the feasibility of detecting the weak signal is verified. Conclusion The system has superior detection accuracy and stronger detection performance, which is proved by using Matlab-Simulink simulation. Thus, the improved Duffing chaotic system demonstrates its high value for practical engineering applications.