分数布朗小波随机场与Hurst参数估计

Wavelet Transform and Fractional Brownian Random Field and Estimation of the Fractal Parameter from Noise Data Using Wavelet

通过对小波变换与分数布朗随机场的讨论 ,分析了小波变换与分形之间的内在联系 ,并讨论了分数布朗小波随机场的性质、特点 。

In this paper,through the discussion of wavelet transform and fractional brownian random field,the writer analysises the internal relation ship between wavelet transform and fractal,with the discussion of the quality and characteristic of fractional brownian wavelet random field.The results of it are also used in the estimation of the fractal parameter Hurst.