基于非线性耦合双稳系统的微弱信号检测研究

针对系统输入信号为低频、高频情形,以非线性耦合双稳系统为随机共振模型,分别建立自适应随机共振检测算法。选取平均信噪比增益作为衡量随机共振性能指标,设置系统参数,固定步长,自适应调节耦合系数,计算最优耦合系数。本文将非线性耦合双稳系统首次应用于多频微弱信号检测。与传统的检测方法相比,非线性耦合双稳系统能更加灵活地检测微弱信号。数值仿真结果与理论分析完全符合,为非线性耦合双稳系统在实际工程中的应用提供了参考价值。

Research on Weak Signal Detection Based on Nonlinear Coupled Bistable Systems

According to the low and high frequency signals input into system, adaptive stochastic resonance detection algorithms are built and studied respectively which are based on stochastic resonance in nonlinear coupled bistable systems. The average signal-to-noise ratio gain is selected as the performance indicators measuring the stochastic resonance performance. When the system parameters are set and the time step is fixed, the coupled coefficient can be adjusted adaptively, and then the most optimal coupled coefficient can be calculated. Therefore, the multi-frequency signals can also be detected by this nonlinear coupled bistable system. Compared with traditional detection methods, the nonlinear coupled bistable system can detect weak signals flexibility. Numerical simulations results are in accordance with theoretical analysis well. This paper provides some options for the proposed nonlinear coupled bistable system to be applied in practical engineering areas.