| 分数布朗运动的小波分析 |
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| 引用本文： | 王桥,胡毓钜.分数布朗运动的小波分析[J].武汉大学学报(信息科学版),1995(1). |
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| 作者姓名： | 王桥 胡毓钜 |
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| 作者单位： | 武汉测绘科技大学图土信息与地图科学系 |
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| 摘 要： | 给出了分数布朗运动的连续和离散小波分析，讨论了有关的性质，并将结果用于分维估值、分数布朗运动小波变换系数的相关性研究等方面．
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| 关 键 词： | 分数布朗运动，分维数，小波分析，随机过程 |
The Wavelet Analysis of Fractional Brownian Motion |
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| Wang Qiao, Hu Yuju.The Wavelet Analysis of Fractional Brownian Motion[J].Geomatics and Information Science of Wuhan University,1995(1). |
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| Authors: | Wang Qiao Hu Yuju |
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| Abstract: | Fractional Brownian motions (fBm) provide useful fractal modeles for geographic information processing. In this poper,the continuous and discrete wavelet analysis of fBm are proposed. These results are used to estimate fractal dimension,and to study the correlation Structure of discrete wavelet coefficients of fBm,and the advantage of using wavelet analysis to Study fBm be shown lastly. |
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| Keywords: | fractional Brownian motion fractul dimension wavelets stochastic processes |
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