摘要
本文简单介绍了时间序列、分形和分维的基本概念。初步讨论发现肌电图波是时间序列,可视为自仿射分形曲线,能用分维表征。用R/S分析法计算了几个肌电图的分维,并在Weierstrass-Mandelbrot函数和分数布朗运动基础上模拟了肌电图曲线。最后讨论了分维在体育科学中的应用。
The basic concepts of time series, fractals and fractal dimensions of EMG waves were introduced in this paper. It is found that EMG wave is time series, it can be regarded as self-affinity fractal curve characterized by fractal dimension. Fractal dimensions of some EMGs were calculated by R/S analysis and simulations of EMG curves were worked out according to Weierstrass-Mandelbrot Function and Fractional Brownian Motion. Finally. applications of fractal dimensions to sports science were discussed.
出处
《体育科学》
CSSCI
北大核心
1991年第5期52-55,94,共5页
China Sport Science
关键词
肌电图
分形
R/S分析法
时间序列
electromyogram
fractal theory
R/S malysis
time series
