小波阈值消噪算法中分解层数的自适应确定

小波阈值消噪算法中分解层数的自适应确定 Self-Adaptive Determination of Decomposition Order in Threshold De-Noising Method Based on Wavelet Transform 丰彦 FENG Yan 1 2 first-author 高国荣 GAO Guo-rong 1 2 武汉大学数学与统计学院 武汉大学数学与统计学院 School of Mathematics and Statistics,Wuhan University School of Mathematics and Statistics,Wuhan University 武汉大学数学与统计学院,湖北,武汉,430072 武汉大学数学与统计学院,湖北,武汉,430072 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. 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. 小波变换 阈值消噪 自相关函数 白噪声检验 分解层数 wavelet transform threshold de-noising self-correlation function white noise verification decomposition order O174.2 2005-01-01 2021-04-01 S2