基于初值敏感性混沌弱信号检测的性能研究

Capability of Weak Signals Detection through Chaos System's Sensitive Dependence on Initial Conditions

混沌微弱信号检测研究是当前在时域检测信号的新方法,该文通过仿真计算研究了Duffing振子检测弱正弦信号的性能.首先分析了Duffing方程的运动状态,指出利用初值敏感性进行混沌弱信号检测时背景噪声必然对过渡过程产生影响;为分析噪声的影响,研究推导了连续系统仿真输入噪声的生成表达;仿真试验结果表明系统的最终运动状态跟随噪声强度的变化,由试验结果分析得出Duffing弱信号检测的最低信噪比,为混沌弱信号的实际应用提供指导.

It is a new method of currently signal detection in time field that the weak signal detection using chaos system for its good performance in report.The capability of the weak period signal detection through Duffing oscillator was researched by computer simulation.The classical Duffing formulas movement states were analyzed firstly.It was pointed out that the background noise must affect the transition process when detecting weak signal by using the Property of Sensitive Dependence on Initial Conditions of ...