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基于冗余第二代小波变换的振动信号降噪 被引量:4

The noise reduction of vibration signals on the basis of redundant second-generation wavelet
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摘要 为了能够提取隐藏在振动信号中的冲击信号,设计了冗余第二代小波变换。采用拉格朗日插值细分原理设计各层的初始预测器和初始更新器,然后通过冗余方案对原始信号进行分解,并对各层细节信号进行阈值处理,将处理后的信号进行重构,即可获得降噪后的信号。对仿真信号和工程实际信号的降噪表明,用冗余第二代小波对原始信号降噪能获得更高的信噪比和更小的均方差,且能完整地保留信号中的冲击成分。在某油田往复压缩机状态监测和故障诊断中,采用该方法有效地提取了曲轴振动信号中的冲击信号。 To extract the impact signal hidden in the vibration signal,the redundant second-generation wavelet transformation was designed.Adopting the Lagranges interpolation subdivision principle,the initial predictor and updater of the layers were designed.Then,the redundancy scheme was utilized to decompose the original signal and the threshold was adopted to deal with every stage's detail signal.The processed signals were reconstructed and the signal after noise reduction was obtained.The noise reduction of simulation signal and actual engineering signal indicated that utilization of redundant second-generation wavelet can achieve higher signal-to-noise ratio and smaller mean square deviation in noise reduction of the original signal and the impact element of the signal can be preserved completely.In the condition monitoring and fault diagnosis in a certain oilfield,the utilization of this method achieved an effective extraction of the impact signal of the vibration signal of the reciprocating compressor crankshaft.
出处 《石油机械》 北大核心 2010年第10期4-6,17,共4页 China Petroleum Machinery
基金 国家863项目资助课题"基于双扭环机制的输油管线泄漏诊断的新装置与方法研究"(2008AA06Z209) 中国石油天然气集团公司创新基金资助项目"往复压缩机剩余寿命的混沌关联预测方法研究"(07E1005)
关键词 冗余 小波变换 插值细分 振动信号 降噪 redundant,wavelet transformation,interpolation subdivision,vibration signal,noise reduction
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参考文献6

  • 1Sweldens W. The lifting scheme: a custom design construction of biorthogonal wavelets [ J ] . Appl Comput Harmon Anal, 1996, 3 (2): 186-200.
  • 2Sweldens W. The lifting scheme: a construction of second generation wavelets [ J ] . SIAMJ Math Anal, 1997, 29 (2): 511-546.
  • 3Daubechies I, Sweldens W. Factoring wavelet transform into lifting steps [ J]. J Fourier Anal App, 1998, 4 (3) : 247 - 269.
  • 4Sweldens W, SchrEder P. Building your own wavelets at home [EB/OL] . http: //www. cse. ttu. edu. tw/ -jmchen/wavelets/siggraph_ courses/notes95 -3. pdf.
  • 5高立新,汤文亮,胥永刚,殷海晨.基于冗余第二代小波的降噪技术[J].北京工业大学学报,2008,34(12):1233-1237. 被引量:13
  • 6Jiang Hongkai, He Zhengjia, Duan Chendong. Gearbox fault diagnosis using adaptive redundant lifting scheme [ J ] . Mechanical Systems and Signal Processing, 2006, 20 (8): 1992-2006.

二级参考文献3

  • 1段晨东,何正嘉.第二代小波降噪及其在故障诊断系统中的应用[J].小型微型计算机系统,2004,25(7):1341-1343. 被引量:22
  • 2Sweldens W. The lifting scheme: A custom-design construction of biorthogonal wavelet [J]. Applied and Conputational Harmonic Analysis, 1996, 3(2): 186-200.
  • 3Sweldens W. The lifting scheme. A construction of second generation wavelets[J]. SIAM J Math Anal, 1997, 29(2): 511- 546.

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