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Because of some advantages obtained from non-cooperative passive detection system, such as anti-surveillance, anti-interference, anti-stealth, anti-radiation missile and so on, it will become a crucial trend of radar systems in the future. The key problem in this system is the detection of weak echo signal, which is submerged in interference and noise. In this paper, the echo signal in non-cooperative passive detection exploiting FM radio signal as illuminator is proved to be chaotic. The RBF neural network is adopted to predict the chaotic time series. A new conception is proposed to detect weak signal.