A Method of Time-frequency Analysis Based on Empirical Mode Decomposition

Hou Yanfang, Tian Hui
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Abstract

Aimed at the nonlinear and non-stationary signals, a method of time-frequency analysis which is called HHT based on Empirical Mode Decomposition is introduced. This method makes any complicated set of data to be decomposed into a finite and often small number of Intrinsic Mode Functions through Empirical Mode Decomposition. So the instantaneous frequency defined by Hilbert transform has a meaning. The validity of the method is displayed through experiment. Then it is compared with the available time-frequency analysis methods. Finally, the related problems in this field that need further study are stated.
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基于经验模态分解的时频分析方法
针对非线性非平稳信号,提出了一种基于经验模态分解的时频分析方法。该方法通过经验模态分解,将任何复杂的数据集分解为有限的、通常是少量的本征模态函数。所以希尔伯特变换定义的瞬时频率是有意义的。通过实验验证了该方法的有效性。然后与现有的时频分析方法进行了比较。最后,提出了该领域有待进一步研究的相关问题。
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