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由于非线性是混沌产生的必要条件，所以讨论一个观测时间序列是否具有非线性，对进一步利用混沌时间序列方法分析观测时间序列很有意义。本文讨论水下目标辐射噪声信号中非线性问题，运用替代数据方法，根据实验数据与替代数据之间峭度和自相关两个量的差异性，分析了水下目标辐射噪声信号中的非线性成分，得出结论：水下目标辐射噪声信号中存在非线性成分，且这种非线性不是由于静态测量函数的非线性引起的，为利用非线性时间序列分析方法分析水下目标噪声信号提供了理论依据。
Since nonlinearity is a necessary condition for the generation of chaos, it is meaningful to discuss whether an observed time series is non-linear or not, and to further analyze the observed time series using the chaotic time series method. This paper discusses the nonlinear problem of underwater target radiated noise signal. By using alternative data method, based on the difference of kurtosis and autocorrelation between experimental data and alternative data, the nonlinearity of underwater target radiated noise signal is analyzed. Components, concluded that there is a non-linear component in the underwater target radiated noise signal, and this non-linearity is not due to the non-linearity of the static measurement function, which provides a basis for analyzing the underwater target noise signal using a non-linear time series analysis method Theoretical basis.