提升小波包最优基分解算法及在振动信号降噪中的应用
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摘要
提升小波包最优基分解,是影响提升小波包应用效果和效率的关键。提出了一种先序分解后序搜索的提升小波包最优基分解算法,该算法提升小波包先序分解和最优基后序搜索同时进行,只保留当前发现最好基下的分解系数,及时释放冗余存储空间,具有更高的空间效率,更适于信号在线处理。对算法进行了描述,并与自上而下完全分解、自下而上搜索算法进行了比较。将其应用于发动机缸盖振动信号降噪,取得了满意的效果。
A lifting wavelet package decomposing method under the best bases was proposed, in which the lifting wavelet package preorder decomposing and the best bases postorder searching are processed simultaneously. Only the decomposing coefficients under the current best bases are recorded, and the redundant memory units can be released in time. The space efficiency is enhanced. The algorithm was described and compared with the traditional method. It was applied in de-noising for engine cylinder head vibration signal with satisfying effectiveness.
A lifting wavelet package decomposing method under the best bases was proposed, in which the lifting wavelet package preorder decomposing and the best bases postorder searching are processed simultaneously. Only the decomposing coefficients under the current best bases are recorded, and the redundant memory units can be released in time. The space efficiency is enhanced. The algorithm was described and compared with the traditional method. It was applied in de-noising for engine cylinder head vibration signal with satisfying effectiveness.
引文
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[9]张子瑜,吴镇扬,陈进,等.机组运行趋势的小波包掩模去噪研究[J].机械工程学报,2000,36(5):93—96.
[10]孟庆华,赵文礼.基于最优小波包基的模极大值法信号消噪研究[J].传感技术学报,2006,19(6):2582—2584.
[2]张辉,王淑娟,张青森,等.基于小波包变换的滚动轴承故障诊断方法的研究[J].振动与冲击,2004,23(4):127—130.
[3]晏俊伟,龙源,方向,等.基于小波包变换的爆破地震时频特征提取及分析[J].振动与冲击,2007,26(4):25—29.
[4]邱天爽,刘飞岐.基于小波包分解的铝电解阳极效应振动谱特征提取[J].振动与冲击,2007,26(3):27—29,36.
[5]曹建军,张培林,张英堂,等.基于提升小波包变换的缸盖振动信号特征提取[J].振动与冲击,2008,27(2):34—38.
[6]Wim Sweldens.The lifting scheme:A construction of secondgeneration wavelets[J].Siam J.Math.Anal,1997,29(2):511—546.
[7]Daubechies I,Sweldens W.Factoring Wavelet Transforms in-to Lifting Steps[J].Journal of Fourier Analysis and Applica-tion,1998,4(3):247—269.
[8]Coifman R,Wickerhauser M V.Entropy based algorithms forbest basis selection[J].IEEE Transactions on IT,1992,38(2):713—718.
[9]张子瑜,吴镇扬,陈进,等.机组运行趋势的小波包掩模去噪研究[J].机械工程学报,2000,36(5):93—96.
[10]孟庆华,赵文礼.基于最优小波包基的模极大值法信号消噪研究[J].传感技术学报,2006,19(6):2582—2584.
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