Parameter estimation in chaotic interference

In many cases signals of interest are submerged by strong chaotic interference, how to extract the weak signal is of great importance and interest. In order to estimate the parameters representing the signal, a novel noise reduction method is proposed in which the chaotic interference is successfully separated from the received data, which is composed of the signal of interest, chaotic interference and measurement noise. The parameters can be precisely estimated from the residual error time series after the novel noise reduction method. Some simulations are given to verify the effectiveness of the estimation and some related discussions are also given