| 有限样本条件下分形维数的估计 |
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| 引用本文： | 薛东辉,朱耀庭,朱光喜,熊艳.有限样本条件下分形维数的估计[J].系统工程与电子技术,1996(12). |
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| 作者姓名： | 薛东辉 朱耀庭 朱光喜 熊艳 |
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| 作者单位： | 华中理工大学电子与信息工程系 |
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| 摘 要： | 本文通过对一种计盒维数方法，即网格计数法的分析，导出了有限样本条件下，计盒维数估计的理论尺度下界，并且给出了实际中改善数字信号的分形维数估计准确性的递归算法。
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| 关 键 词： | 有限样本条件，网络，计数，递归理论 |
Estimation of Fractal Dimension under Finite Sample |
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| Xue Donghui, Zhu Yaoting,Zhu Guangxi and Xiongyan.Estimation of Fractal Dimension under Finite Sample[J].System Engineering and Electronics,1996(12). |
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| Authors: | Xue Donghui Zhu Yaoting Zhu Guangxi and Xiongyan |
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| Abstract: | A box-counting method named reticular cell counting is analyzed in this paper and the lower bound for theoretical box size under finite sample is deduced. Furthermore an iterative algorithm for the accurate estimation of ffactal dimension of digital signal is given. |
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| Keywords: | Fractal Box dimension Lower bound for box size |
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