| 小波阈值消噪算法中分解层数的自适应确定 |
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| 引用本文： | 丰彦,高国荣.小波阈值消噪算法中分解层数的自适应确定[J].武汉大学学报(理学版),2005(Z2). |
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| 作者姓名： | 丰彦 高国荣 |
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| 作者单位： | 武汉大学数学与统计学院 湖北武汉430072 |
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| 摘 要： | 在对带白噪声信号的小波变换特性分析的基础上,基于自相关函数的白噪声检验方法,提出了一种确定小波分解层数的自适应算法.结合不同的小波阈值处理方法,用信噪比和最小均方误差为度量指标,探讨了在阈值消噪算法中本文提出的确定“最佳”分解层数算法对消噪的有效性.并给出了数值仿真实验结果及分析.数值仿真结果表明,该方法具有较好的去噪效果.
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| 关 键 词： | 小波变换 阈值消噪 自相关函数 白噪声检验 分解层数 |
Self-Adaptive Determination of Decomposition Order in Threshold De-Noising Method Based on Wavelet Transform |
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| FENG Yan,GAO Guo-rong.Self-Adaptive Determination of Decomposition Order in Threshold De-Noising Method Based on Wavelet Transform[J].JOurnal of Wuhan University:Natural Science Edition,2005(Z2). |
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| Authors: | FENG Yan GAO Guo-rong |
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| Abstract: | In this paper,which is based on the analysis of the characteristic of noisy signal's wavelet transform,a self-adaptive method to determine a proper decomposition order is proposed according to the white noise verification based on self-correlation function.Combining with different threshold selections,we discuss the efficiency of this method in threshold de-noising method,using SNR and MSE as indexes.Results and analysis of examples are given illustrating the advantage of this method. |
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| Keywords: | wavelet transform threshold de-noising self-correlation function white noise verification decomposition order |
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