【摘要】 以Logistic方程描述的离散系统和Lorenz方程描述的连续系统为例,采用白噪声和无噪声信号以不同的信噪比混迭而成数据的方法,分析了相同数据长度N,不同信噪比下,混沌系统近似熵的变化;相同信噪比,不同数据长度对系统近似熵的影响.结果表明:在相同数据长度N下,随着信噪比的减小,系统近似熵呈不断增长的趋势;信噪比相同情况下,在一定范围内改变数据长度N,对系统近似熵影响不大.更多还原

【Abstract】 In this paper,the effects of noise to the approximate entropy of chaotic system is analyzed.And the effects of length of data N to the approximate entropy of chaotic system isalso analyzed.All these are accomplished by examining several time series produced by a surperposition of white noise and noise-free data.It uses the discrete system logistic map and continuous system Lorenz attractoras the examples.The conclusion implies that the approximate entropy of chaotic system increases with the drop of SNR.The influence of noise is not obvious when the length of data is changed.更多还原