2011Unpublished venueRequires access

Decomposition of seismic signal based on Hilbert-Huang transform

Jianguo Song, Cui-xia Zhao, Songhui Lin, Hao-jie Liu

Open publisher page 7 citations

Abstract

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.

About this research paper

What this paper is about

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.

Why it matters

OpenAlex reports 7 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

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.

Key concepts: Hilbert–Huang transform, Instantaneous phase, Hilbert spectral analysis, Hilbert transform, Time–frequency analysis, SIGNAL (programming language), Analytic signal, Algorithm

Related papers

Back to paper searchBrowse research topicsOriginal source
Decomposition of seismic signal based on Hilbert-Huang transform — Research Paper | ScholarLens