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以相空间重构理论为基础,用TAKENS延时法对时序序列进行相空间重构,在超维相空间中研究舰船辐射噪声的非线性特性,利用相似序列计算出空间轨迹点与其自身的重复度(RPT)参数,绘制了舰船辐射噪声重复度曲线并分析其非线性特性。结果表明,在超维相空间中,舰船辐射噪声表现出具有界于随机的高斯白噪声和确定性的LORENZ吸引子之间的空间几何特性。并且同类目标之间具有相似性,不同类目标之间具有可分性,本文所提出的方法为水声目标的非线性研究开辟了一个新的途径.
Based on the theory of phase space reconstruction, phase space reconstruction of time series is carried out by TAKENS delay method. The nonlinear characteristics of ship radiation noise are studied in hypervolume space. The similarity between the space trajectory and its own Repeatability (RPT) parameters were plotted, and the repeatability curves of ship radiated noise were plotted and their nonlinear characteristics were analyzed. The results show that in the super-dimensional space, the ship’s radiated noise shows the spatial geometry with random Gaussian white noise and deterministic LORENZ attractor. The similarity between similar targets and the separability between different targets are also discussed. The proposed method opens up a new way for the nonlinear research of underwater acoustic targets.