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基于小波变换与混沌系统的微弱周期信号检测方法
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基于小波变换与混沌系统的微弱周期信号检测方法
提出了基于小波变换与混沌系统的微弱信号检测方法。根据小波变换具有的多分辩能力与混沌系统对微弱周期信号的敏感性和对噪声的免疫力，将混有强噪声的周期信号经小波变换处理后作为处于混沌临界状态的Duffing系统的输入，根椐系统状态从混沌到周期的相轨迹的变化来检测微弱周期信号。仿真结果表明，最低检测下限可达-166dB，检测信噪比可达-116db。
Based on wavelet transform and chaotic system, this paper puts forward a method for weak signal detection. According to the multi- resolution of the wavelet and the sensitivity of weak periodical signal and the immunity to noise of the chaotic system, we made the periodical signal with strong noise processed by wavelet as the input of the critical Duffing system, detecting the weak periodical signal by the transformation of the phase trajectory. It shown from the simulation that the detection lower limit is –166dB and the SNR (Signal Noise Ratio) is approximate to –116dB.
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