YANG Yanli, DENG Jiahao, TANG Wuchu, Wu Caipeng, KANG Dali. Nonuniform Extrema Resampling and Empirical Mode Decomposition[J]. Chinese Journal of Electronics, 2009, 18(4): 759-762.
Citation: YANG Yanli, DENG Jiahao, TANG Wuchu, Wu Caipeng, KANG Dali. Nonuniform Extrema Resampling and Empirical Mode Decomposition[J]. Chinese Journal of Electronics, 2009, 18(4): 759-762.

Nonuniform Extrema Resampling and Empirical Mode Decomposition

  • Received Date: 2008-06-01
  • Rev Recd Date: 2008-10-01
  • Publish Date: 2009-11-25
  • Empirical mode decomposition (EMD) isan adaptive signal processing method. However, it stilllacks a rigorous mathematical foundation. This paper investigates the EMD method using the nonuniform sampling theory. The first step of the EMD algorithm, identifying all the local extrema, can be regarded as a process ofextrema resampling. The extrema resampling rate changeswith the extrema distribution, so the EMD method isadaptive. By comparing the average extrema resamplingrate of a composite two-tones signal with the EMD results, we conclude that EMD will work properly only whenextrema resampling satisfies the sampling theorem of thelow-frequency component. Therefore, extrema resamplingcan explain the nature of the resolution properties of theEMD. Consequently, we gain an in depth understanding ofthe EMD method.
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      沈阳化工大学材料科学与工程学院 沈阳 110142

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