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Smoothing method and device for intrinsic mode function decomposed on the basis of empirical mode decomposition

A technology of empirical mode decomposition and intrinsic mode, which is applied in the smooth field of intrinsic mode function, can solve the problems of reducing signal-to-noise ratio and achieve the effect of improving signal-to-noise ratio, solving roughness, and repairing discontinuous deformation

Inactive Publication Date: 2018-08-31
CHINA ACADEMY OF RAILWAY SCI CORP LTD +3
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Problems solved by technology

However, if there is a weakly correlated signal submerged in the white noise in the detailed signal, the white noise test method cannot judge whether it is randomly generated by the white noise or a related signal of the useful signal, and the result may be reduced due to the reduction of the number of decomposition layers SNR after signal reconstruction

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  • Smoothing method and device for intrinsic mode function decomposed on the basis of empirical mode decomposition
  • Smoothing method and device for intrinsic mode function decomposed on the basis of empirical mode decomposition
  • Smoothing method and device for intrinsic mode function decomposed on the basis of empirical mode decomposition

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[0049] In order to make the purpose, technical solutions and advantages of the embodiments of the present invention more clear, the embodiments of the present invention will be further described in detail below in conjunction with the accompanying drawings. Here, the exemplary embodiments and descriptions of the present invention are used to explain the present invention, but not to limit the present invention.

[0050] First, taking the window extreme value empirical mode decomposition (WE-EMD) method (Chinese invention patent publication number: CN 106844293A) as an example, the non-smoothing phenomenon that occurs when the IMF is decomposed based on the EMD method is explained.

[0051] It is assumed that the signal to be decomposed is composed of intermittent high-frequency harmonic signal x 2 (t) and low frequency harmonic signal x 1 (t) synthesized analog signal x(t) as follows:

[0052] x(t)=x 1 (t)+x 2 (t) (1)

[0053] in:

[0054] x 1 (t)=sin(2*π*t),t∈D

[005...

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Abstract

The invention provides a smoothing method and device for an intrinsic mode function decomposed on the basis of empirical mode decomposition. The method comprises the following steps that: carrying outband-pass filtering on an IMF (Intrinsic Mode Function) component signal obtained by decomposition on the basis of an EMD (Empirical Mode Decomposition) method to obtain a reference signal; regulating a wavelet packet filtering parameter, and carrying out adaptive wavelet packet filtering on the IMF component signal to obtain the filtered IMF component signal; and calculating the correlation coefficient of the reference signal and the filtered IMF component signal, and taking the filtered IMF component signal obtained by the wavelet packet filtering parameter corresponding to a maximum correlation coefficient as a smoothing processing result for the IMF component signal. By use of the method, noise retained in the IMF component signal can be cleared, and the discontinuous deformation, which is caused by a high-frequency intermittent signal, of the low-frequency IMF component signal is repaired.

Description

technical field [0001] The present invention relates to the technical field of signal processing, in particular to a method and device for smoothing intrinsic mode functions based on Empirical Mode Decomposition (EMD) decomposition. Background technique [0002] Hilbert-Huang transform (HHT) is an adaptive time-frequency analysis method developed in recent years to deal with nonlinear and non-stationary signals. It first performs Empirical Mode Decomposition (EMD) decomposition on the signal, and then introduces the instantaneous frequency with the help of Hilbert transform to obtain the energy distribution of the signal on the time-frequency plane, that is, the Hilbert spectrum (Huang, N.E., Z.Shen, and S.R.Long, M.C.Wu, E.H.Shih, Q.Zheng, C.C.Tung, and H.H.Liu,1998:The empirical mode decomposition method and the Hilbert spectrum for non-stationary time series analysis,Proc.Roy.Soc.London,A454,903- 995) (Huang, N.E., Z. Shen, R.S. Long, 1999: A new view of nonlinear water ...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/15
CPCG06F17/15
Inventor 刘金朝孙善超徐晓迪胡晓依于淼
Owner CHINA ACADEMY OF RAILWAY SCI CORP LTD
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