微弱信号混沌检测方法的抗噪性能研究

Research on Noise Immunity of Weak Signal Chaotic Detection Algorithm

针对混沌检测算法中临界状态不易准确判定,相变判别可能受到噪声影响的问题,首先阐述了基于Duffing方程的微弱信号检测原理,然后对混沌检测算法中噪声对系统输出的影响进行了推导和理论分析,设计仿真实验对复杂噪声条件下混沌系统的检测性能进行了分析。理论分析和仿真实验都表明,混沌系统对各种噪声都具有良好的免疫力,可以应用于强噪声背景下微弱信号的检测。

For weak signal detection using chaotic detection algorithm,the critical state of chaotic system can＇t be judged precisely and phase transition identification may be interfered by noise. To solve these problems ,the basic principle of weak signal detection based on Duffing equation is introduced, then the influence of noise on Duffing system output is analyzed theoretically, and the detection performance of system under complex noise conditions is studied by simulation experiments. Both theoretical analysis and simulation results show that the chaotic system has favorable immunity against most noises and can be used in the weak signal detection under complex backgrc,und noise.