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经验模态分解频率分辨率的一种改进方法 被引量：14

Method for improving frequency resolution of empirical mode decomposition
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摘要 针对传统的经验模态分解(Empirical Mode Decomposition,EMD)中由于信号间的相互作用造成的单个固有模态分量带宽过大的问题,提出使用改进的掩蔽信号并结合增加筛选过程迭代次数的方法来对其进行改进。研究了迭代次数与EMD频率区分能力的关系;提出了一种改进掩蔽信号的方法,采用自适应加权的方式构造掩蔽信号的频率,权值的选择基于分离误差最小化的准则。仿真实验表明,对具有不同幅度比与频率比的信号,提出的改进方法能够有效地提高EMD的频率分辨能力。 During traditional Empirical Mode Decomposition（EMD）,the frequency band is too wide due to signal interaction.In order to solve this problem,an improved method is investigated using improved signal masking combined with increasing the number of iterations of the sifting process.The relation between the number of iterations and frequency resolution of EMD is investigated.An improved method is proposed using masking signal,whose frequency is formed by an adaptive weighted method, and the weights are selected based on the minimization of a separation error criteria.Experimental results show that the capability of differentiating frequencies of EMD can be effectively improved for signals with different amplitude ratio and frequency ratio.
作者 孙伟峰 彭玉华 杨阳 孟庆芳 许建华
机构地区 山东大学信息科学与工程学院 电子测试技术国家科技重点实验室
出处 《计算机工程与应用》 CSCD 北大核心 2010年第1期129-133,共5页 Computer Engineering and Applications
基金 山东省科技攻关计划No.2005GG3201117 电子测试技术国家科技重点实验室项目(No.9140C120102060C1201)~~
关键词 经验模态分解 掩蔽信号 频率分辨率 empirical mode decomposition masking signal frequency resolution
分类号 TN911.7 [电子电信—通信与信息系统]
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参考文献8

  • 1Huang N E,Shen Z,Long S R,et al.The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis[J].Proc R Soc Lond,1998,454.
  • 2Huang N E,Shen Z,Long S R.A new review of nonlinear water waves:The Hilbert spectrum[J].Annual Review of Fluid Mechanics, 1999,31:417-457.
  • 3Peng Z K,Tse P W,Chu F L.A comparison study of improved Hilbert-Huang transform and wavelet transform:Application to fault diagnosis for rolling bearing [J].Mechanical Systems and Signal Processing, 2005,19(5 ) : 974-988.
  • 4Wang Fu-tai,Chang Shun-hsyung,Lee J C Y.Hybrid wavelet-Hilbert-Huang spectrum analysis[C]//Proc of Oceans 2005 Europe IEEE Conference and Exhibition,Brest, 2005:902-905.
  • 5Deering R,Kaiser J F.The use of a masking signal to improve empirical mode decomposition[C]//IEEE International Conference on Acoustics, Speech and Signal Processing(ICASSP' 05 ), Philadelphia, Pennsylvania, USA, 2005,4: 485-488.
  • 6Rilling G,Flandrin P.One or two frequencies?The empirical mode decomposition answers[J].IEEE Transactions on Signal Processing, 2008,56( 1 ) : 85-95.
  • 7胡维平,莫家玲,杜明辉.经验模态分解中的频域分辨率及其改进方法[J].华南理工大学学报（自然科学版）,2007,35(5):15-19. 被引量：17
  • 8Rilling G,Flandrin P.On empirical mode decomposition and its algorithms[C]//Proc IEEE EURSSIP Workshop on Nonlinear Signal Image Processing, Grado, Italy, 2003 : 8-11.

二级参考文献10

  • 1Wang Fu-Tai,Chang Shun-Hsyung,Lee J C-Y.Hybrid wavelet-Hilbert-Huang spectrum analysis[C]∥Proc of Oceans 2005 Europe IEEE Conference and Exhibition.Brest:IEEE,2005:902-905.
  • 2Li He-long,Yang Li-hua,Huang Da-ren.The study of the intermittency test filtering character of Hilbert-Huang transform[J].Mathematics and Computers in Simulation,2005,70(1):22-32.
  • 3Rilling G,Flandrin P,Gonc P,et al.On empirical mode decomposition and its Algorithms[C]∥Proc of IEEE-EURASIP Workshop on Nonlinear Signal and Image Processing.Trieste:IEEE,2003.
  • 4Huang N E.The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis[J].Proc R Soc Lond A,1998,454:903-995.
  • 5Huang N E,Wu M,Long S,et al.A confidence limit for the empirical mode decomposition and Hilbert spectral analysis[J].Proc R Soc Lond A,2003,459:2317-2345.
  • 6Huang N E,Long S R.A new view of nonlinear water waves:the Hilbert spectrum[J].Annual Review of Fluid Mechanics,1999,31:417-457.
  • 7Wu Z H,Huang N E.A study of the characteristics of white noise using the empirical mode decomposition method[J].Proc R Soc London A,2004,460:1597-1611.
  • 8Flandrin P,Rilling G,Gonc P E,et al.Empirical mode decomposition as a filter bank[J].IEEE Signal Proces-sing Letters,2004,11(2):112-114.
  • 9Peng Z K,Tse P W,Chu F L.An improved Hilbert-Huang transform and its application in vibration signal analysis[J].Journal of Sound and Vibration,2005,286(1/2):187-205.
  • 10Deering R,Kaiser J F.The use of a masking signal to improve empirical mode decomposition[C]∥Proceedings of IEEE International Conference on Acoustics,Speech,and Signal Processing.Philadelphia:IEEE,2005:485-488.

共引文献16

同被引文献95

引证文献14

二级引证文献71

计算机工程与应用
2010年 第1期

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