二代小波包变换在爆破振动信号去噪分析中的应用
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摘要
在提升算法及小波包变换原理基础上,构造了基于插值细分的小波SGW(6,6);介绍了基于最优提升小波包基分解的阈值去噪算法,将实测爆破振动信号通过二代小波包分解,对小波包系数进行阈值量化,再对阈值处理后的系数进行重构,成功地实现了爆破振动测试信号中的噪声去除。为将二代小波包变换引入到爆破振动效应分析研究领域奠定了基础。
Based on lifting algorithm and second generation wavelet packet transform(SGWPT) principle,SGW(6,6) was constructed by the way of interpolation subdivision.Threshold de-noising algorithm was introduced based on decomposition of optimal lifting wavelet packet,blasting vibration signals monitored were decomposed by SGWPT,wavelet packet coefficients were reconstructed after they were quantified by thresholds,and noise in blasting vibration test signals were removed successfully.So the paper laid a foundation for introducing SGWPT into blasting vibration effect analysis.
Based on lifting algorithm and second generation wavelet packet transform(SGWPT) principle,SGW(6,6) was constructed by the way of interpolation subdivision.Threshold de-noising algorithm was introduced based on decomposition of optimal lifting wavelet packet,blasting vibration signals monitored were decomposed by SGWPT,wavelet packet coefficients were reconstructed after they were quantified by thresholds,and noise in blasting vibration test signals were removed successfully.So the paper laid a foundation for introducing SGWPT into blasting vibration effect analysis.
引文
[1]中国生,徐国元,赵建平.基于小波变换的爆破地震信号阈值去噪的应用研究[J].岩土工程学报,2005,27(9):1055-1059.
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[5]Sweldens W.The Lifting Scheme:A Custom-DesignConstruction of Biorthogonal Wavelets[J].Applied andComputational Harmonic Analysis,1996,15(3):186-200.
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[8]段晨东,何正嘉.基于提升模式的特征小波构造及其应用[J].振动工程学报,2007,20(1):85-90.
[9]荆双喜,李胜华,华伟.第二代小波降噪法在故障诊断中的应用[J].煤矿机电,2007(2):3-5.
[10]Sweldens W,Peter Schr der.Building Your OwnWavelets at Home[DB/OL].http://cm.bell-labs.com/who/wi m/papers.ht ml/athome,1998-01-05.
[11]谢全民,龙源,田作威.爆破振动信号时频特征的三维分形特性研究[J].振动与冲击,2010,29(12):122-126.
[12]谢全民,龙源,钟明寿.小波包与分形组合技术在爆破振动信号分析中的应用研究[J].振动与冲击,2011,30(1):11-15.
[13]曹建军,张培林,任国全.提升小波包最优基分解法及在振动信号降噪中的应用[J].振动与冲击,2008,27(8):114-116.
[14]Donoho D L,Johnstone I M.Adapting to UnknownSmoothless via Wavelet Shrinkage[J].J.Amer.Statist.Assoc.,1995,90:1200-1224.
[2]谢全民,龙源,钟明寿.基于小波、小波包两种方法的爆破振动信号对比分析[J].工程爆破,2009,15(1):5-9.
[3]Daubechies I,Sweldens W.Factoring Wavelet Trans-forms into Lifting steps[J].Journal of Fourier Analysisand Application,1998,4(3):247-269.
[4]曹建军,张培林,任国全.提升小波包最优基分解算法及在振动信号降噪中的应用[J].振动与冲击,2008,28(8):115-116.
[5]Sweldens W.The Lifting Scheme:A Custom-DesignConstruction of Biorthogonal Wavelets[J].Applied andComputational Harmonic Analysis,1996,15(3):186-200.
[6]耿艳峰,冯叔初.小波构造综述[J].石油大学学报(自然科学版),2004,28(1):127-131.
[7]粟鸣,郭东敏,权建峰.基于提升小波的改进半软阈值降噪方法[J].探测与控制学报,2009,31(4):54-57.
[8]段晨东,何正嘉.基于提升模式的特征小波构造及其应用[J].振动工程学报,2007,20(1):85-90.
[9]荆双喜,李胜华,华伟.第二代小波降噪法在故障诊断中的应用[J].煤矿机电,2007(2):3-5.
[10]Sweldens W,Peter Schr der.Building Your OwnWavelets at Home[DB/OL].http://cm.bell-labs.com/who/wi m/papers.ht ml/athome,1998-01-05.
[11]谢全民,龙源,田作威.爆破振动信号时频特征的三维分形特性研究[J].振动与冲击,2010,29(12):122-126.
[12]谢全民,龙源,钟明寿.小波包与分形组合技术在爆破振动信号分析中的应用研究[J].振动与冲击,2011,30(1):11-15.
[13]曹建军,张培林,任国全.提升小波包最优基分解法及在振动信号降噪中的应用[J].振动与冲击,2008,27(8):114-116.
[14]Donoho D L,Johnstone I M.Adapting to UnknownSmoothless via Wavelet Shrinkage[J].J.Amer.Statist.Assoc.,1995,90:1200-1224.
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