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本文研究了 L ogist迭代映射产生的混沌和白噪声的统计特性及时频特性 ,指出利用统计的方法和传统的时频仪器是无法区分噪声和混沌的 .进而提出一种可区分混沌与噪声的“相关空间法”,基于 L ogist映射混沌序列是由确定的非线性方程迭代产生的 ,相邻迭代值必然存在相关性 ;而白噪声却是由大量的偶然因素产生的 ,相邻值不存在相关性 .因而本文首次提出由相互关联的临近序列组成相关空间 ,从而区分混沌和噪声
This paper studies the statistical characteristics and time-frequency characteristics of chaos and white noise generated by L ogist iterative mapping, and points out that the use of statistical methods and traditional time-frequency instruments can not distinguish between noise and chaos. Then a new method of distinguishing chaos and noise from “ Related space method ”. Based on the L ogist map, the chaotic sequence is iteratively determined by the established nonlinear equations. The correlation between adjacent iterative values is inevitable. However, the white noise is generated by a large number of contingent factors, and the adjacent values are not related Therefore, this paper proposes for the first time that related spaces are formed by the interrelated adjacent sequences so as to distinguish between chaos and noise