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研究了离散点集分形示性数的计算,提出了分析信号的混沌程度的方法。由分形信息理论出发,对离散采样的数字信号,通过变化采样频率,多次采样构造原始信号的分形点集;引入分形示性数的概念,得到了分形点集的分形示性数的计算方法;由分形示性数来区分运动的混沌程度。通过计算可以看出,该方法是可行的。
The calculation of the discrete numbers of discrete points is studied, and the method of analyzing the chaos of signals is proposed. Based on fractal information theory, fractal point sets of original signal are constructed by changing sampling frequency and sampling multiple times for discretely sampled digital signals. By introducing the concept of fractal index number, the fractal point number of fractal points set is obtained. ; The number of fractal representation to distinguish the degree of chaos of movement. It can be seen through calculation that this method is feasible.