| 基于样本熵理论的自适应小波消噪分析方法 |
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| 引用本文： | 尚晓三,王式成,王振龙,王栋.基于样本熵理论的自适应小波消噪分析方法[J].水科学进展,2011,22(2):182-188. |
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| 作者姓名： | 尚晓三 王式成 王振龙 王栋 |
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| 作者单位： | 1.安徽省水利水资源重点实验室, 安徽, 蚌埠, 233000; |
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| 基金项目： | 国家自然科学基金资助项目(41071018410307464072501040730635); 水利部公益性行业科研专项经费资助项目(200701024200801068200901026); 南京大学青年骨干教师和优秀中青年学科带头人培养计划项目~~ |
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| 摘 要： | 小波消噪方法的核心问题是阈值的选择及确定.依据样本熵的特性,将样本熵与小波分析方法耦合起来,提出了一种自适应确定阈值的小波消噪分析方法.该方法计算了不同阈值对应噪声序列的样本熵值,得到阈值与样本熵值之间的关系曲线,当样本熵值达到最大时,此时阈值为所求阈值.通过算例加以验证分析,结果表明,自适应小波消噪分析方法能较好地实现水文序列的信噪分离,其消噪结果符合序列本身的特性及评价指标的要求,这为合理确定阈值提供了一种新的途径和方法.
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| 关 键 词： | 小波分析 消噪 样本熵 阈值 水文时间序列 |
| 收稿时间： | 2010-06-02 |
Adaptive wavelet denoising method based on sample entropy |
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| SHANG Xiao-san,WANG Shi-cheng,WANG Zhen-long,WANG Dong.Adaptive wavelet denoising method based on sample entropy[J].Advances in Water Science,2011,22(2):182-188. |
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| Authors: | SHANG Xiao-san WANG Shi-cheng WANG Zhen-long WANG Dong |
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| Institution: | 1.Anhui Key Laboratory of Water Conservancy and Water Resources, Bengbu 233000, China;2.Hydrological Bureau, Huaihe River Commission Ministry of Water Resources, Bengbu 233000, China;3.School of Earth Science and Engineering, Nanjing University, Nanjing |
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| Abstract: | It is a key problem of properly selecting and determining the threshold value for wavelet denoising.In this paper,a new method is proposed to adaptively determine the threshold for wavelet analysis.The method uses the character of sample entropy and combines it with wavelet denoising method.Using the method,the sample entropy values are computed for noise time series with different threshold values.The relationship between the sample entropy values and the corresponding threshold values can thus be obtained... |
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| Keywords: | wavelet analysis denoising sample entropy threshold value hydrological time series |
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