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基于有效数据的经验模态分解快速算法研究 被引量:7

Study on Valid-Data-Based EMD Fast Algorithm
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摘要 在介绍了经验模态分解(简称EMD)方法的理论和算法基础上,为了提高EMD算法的速度,提出了基于有效数据的EMD快速算法,即通过EMD分解中止的计算区域限定于有效数据段来实现算法的提速。通过对非线性信号的实验研究表明,基于有效数据的EMD快速算法不但能显著提高算法的速度,而且还可以提高算法的精度。该研究成果能广泛地用于信号时频分析领域。 To reduce the calculation time while using the EMD method, this paper presented a valid-data-based EMD fast algorithm. The characteristic of the algorithm was that, the EMD's stop condition was limited to the valid data.A nonlinear simulation signal was introduced to study the algorithm. Applied the basic EMD algorithm and the valid data-based's to the simulation signal respectively, the result showed that, the precision of decomposition was improved and the calculation time was reduced which using the latter algorithm. The conclusion was obtained that the valid data-based EMD fast algorithm was better than the basic's. The result of the study can be generally used in time-frequency analysis field.
出处 《振动.测试与诊断》 EI CSCD 2006年第2期119-121,共3页 Journal of Vibration,Measurement & Diagnosis
基金 国家自然科学基金资助项目(编号:50205025)
关键词 有效数据 经验模态分解 快速算法 时频分析 valid data empirical mode decomposition(EMD) fast algorithm time-frequency analysis
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参考文献7

  • 1Huang N E,Zheng Shen, Steven R L, et al. The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis[C]//Proc. Royal Society. London A:[s. n.],1998:903-995.
  • 2NASA. Better algorithms for analyzing nonlinear ,non-stationary data [EB/OL]. [2005-07-10]. http ://tco.gsfc. nasa. gov.
  • 3Loh C H, Wu T C, Huang N E. Application of the empirical mode decomposition- Hilbert spectrum method to identify near-fault ground-motion characteristics and structural responses [J]. Bulletin of the Seismological Society of America, 2001 (91):1339-1357.
  • 4Vasudevan K, Cook F A. Empirical mode skeletonization of deep crustal seismic data:theory and applications [J]. Journal of Geophysical Research-Solid Earth, 2000(105):7845-7856.
  • 5Echeverria J C, Crowe J A, Woolfson M S,et al. Application of empirical mode decomposition to heart rate variability analysis[J]. Medical & Biological Engineering & Computing, 2001(39):471-479.
  • 6陈忠,郑时雄.基于经验模式分解(EMD)的齿轮箱齿轮故障诊断技术研究[J].振动工程学报,2003,16(2):229-232. 被引量:53
  • 7胡劲松,杨世锡,吴昭同,严拱标.基于EMD和HT的旋转机械振动信号时频分析[J].振动.测试与诊断,2004,24(2):106-110. 被引量:48

二级参考文献7

  • 1Vasudevan K, Cook F A. Empirical mode skeletonization of deep crustal seismic data: theory and applications. Journal of Geophysical Research-Solid Earth,2000, (105):7845~7856
  • 2Echeverria J C, Crowe J A, Woolfson M S, et al. Application of empirical mode decomposition to heart rate variability analysis. Medical & Biological Engineering &Computing, 2001, (39) :471~479
  • 3Norden E, Huang Z S, Steven R L, et al. The empirical mode decomposition and the non-stationary time series analysis. In: Proc. R. Soc. Lond, 1998. 903~995
  • 4Better algorithms for analyzing nonlinear, nonstationary data. http:∥tco. gsfc. nasa. gov
  • 5Loh C H, Wu T C, Huang N E. Application of the empirical mode decomposition-Hilbert spectrum method to identify near-fault ground-motion characteristics and structural responses. Bulletin of the Seismological Society of America, 2001, (91) :1339~1357
  • 6Huang N E, Shen Zheng and Steven R L, et al. The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis.Proc. R. Soc. Lond. A, 1998;454: 903--995.
  • 7Huang N E, Shen Zheng and Steven R L. A new view of nonlinear water waves: the Hilbert spectrum. Annu.Rev. Fluid Mech. , 1999 ;31: 417--457.

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