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Decomposition of seismic signal based on Hilbert-Huang transform

机译:基于希尔伯特 - 黄变换的地震信号分解

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Hilbert-Huang transform (HHT) is a new time-frequency analytic method to get frequency variation with time of the non-linear and non-stationary signal. The basic implementation flow of this method includes two steps: empirical mode decomposition and Hilbert transform for instantaneous frequency. We can obtain the time-frequency spectrum of signal after these two steps. The key step of this method is empirical mode decomposition (EMD) with which any signal can be decomposed into a finite number of intrinsic mode functions (IMF). The IMF has clear physical significance. Applying Hilbert transform to those IMFs we obtain instantaneous frequency of each IMF. Displaying all the instantaneous frequencies on the same plane we get a time- frequency spectrum. This paper takes real seismic signal for example, presents a kind of empirical mode decomposition method which is fit for the decomposition of seismic signal and illustrates the superiority of Hilbert-Huang transform in analyzing seismic signal and its existing problem. Finally we will summarize the application of Hilbert-Huang transform in seismic data processing.
机译:Hilbert-Huang变换(HHT)是一种新的时频分析方法,用于获得非线性和非静止信号的时间频率变化。该方法的基本实现流程包括两个步骤:经验模式分解和HILBERT转换为瞬时频率。我们可以在这两个步骤后获得信号的时频谱。该方法的关键步骤是经验模式分解(EMD),其中任何信号都可以分解成有限数量的内在模式功能(IMF)。 IMF具有明显的物理意义。将Hilbert转换应用于那些IMFS,我们获得每个IMF的瞬时频率。显示同一平面上的所有瞬时频率我们得到一个时频频谱。本文采用真实地震信号,呈现了一种符合地震信号分解的经验模式分解方法,并说明了希尔伯特 - 黄变换在分析地震信号及其现有问题中的优越性。最后,我们将总结Hilbert-Huang变换在地震数据处理中的应用。

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