Adaptive decoupling method for modal-aliasing problem in empirical mode decomposition

A technique for empirical mode decomposition and mode aliasing, applied in the field of signal processing

Inactive Publication Date: 2017-06-13
CHINA ACADEMY OF RAILWAY SCI CORP LTD +2
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Problems solved by technology

[0004] In order to solve the problems of the prior art, the present invention proposes an adaptive decoupling method for the modal aliasing problem in the empirical mode decomposition, combining the noise signal auxiliary method and the window extreme value, and proposes the window extreme value empirical mode decomposition method ( Window-ExtremeEmpirical Mode Decomposition WE-EMD) to deal with modal aliasing problems

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  • Adaptive decoupling method for modal-aliasing problem in empirical mode decomposition
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  • Adaptive decoupling method for modal-aliasing problem in empirical mode decomposition

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Embodiment 1

[0107] Taking the exponential amplitude modulation signal containing intermittent signals in formula (1) as an example, the local maximum and local minimum found by using the definition of local extremum are as follows: Figure 4a Indicated by '*' and 'o'. The window extreme points selected from the local extreme points are as follows Figure 4b Indicated by '*' and 'o'. From Figure 4a It can be seen that a high-frequency sinusoidal signal is superimposed near the second to fourth maximum points of the exponential amplitude modulation signal, and the mean signal calculated by using the upper and lower envelopes constructed by the local extreme point near it is an exponential amplitude modulation signal. Elsewhere the mean is zero. Therefore, some parts of the difference between the original signal and the envelope mean value are high-frequency sinusoidal signals, and some parts are exponential amplitude modulation signals, and present jumps and discontinuities, resulting i...

Embodiment 2

[0110] Taking the composite signal of chirplet signal and harmonic signal superimposed with intermittent noise as an example, by decomposing the synthetic analog signal with intermittent, and calculating the relative mean square error of the single analog signal and IMF, the empirical mode decomposition of the extreme value of the verification window (WE -EMD) method to deal with the effectiveness of the mode mixing problem. EMD is the most primitive method to deal with nonlinear and non-stationary signals, and EEMD is the most effective method among many dealing with modal mixing problems. Choose to compare with the decomposition results of these two methods to verify the validity and practicability of WE-EMD.

[0111] Such as Figure 6a As shown, it is a schematic diagram of the intermittent noise signal waveform in the second embodiment. Such as Figure 6b As shown, it is a schematic diagram of the superimposed signal waveform of the Chirplet signal and the harmonic sign...

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Abstract

The invention relates to an adaptive decoupling method for a modal-aliasing problem in empirical mode decomposition. The adaptive decoupling method comprises the following steps: adding noise to the signal to be decomposed and acquiring a noisy signal; extracting local extreme points from the noisy signal; selecting window extreme points from the local extreme points; using the window extreme points to establish an upper and a lower envelope lines; accumulating current envelope mean values according to the upper and the lower envelope lines; acquiring current residual signal according to the noisy signal and the current envelope mean values; judging whether the number of the current iterative envelope mean values is less than the first threshold value or not, wherein the current residual signal is used as a first intrinsic modal component; judging whether the number of the window extreme points acquired on the current iteration is less than or equal to the stated second threshold value or not, and if so, acquiring the first intrinsic modal component and a trend term, wherein the trend term is acquired through the noisy signal acquired through adding the noise in the signal to be decomposed subtracting the first intrinsic modal component.

Description

technical field [0001] The invention relates to the technical field of signal processing, in particular to an adaptive decoupling method for the mode mixing problem in empirical mode 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 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. EMD is the core of HHT, which can adaptively decompose the nonlinear non-stationary signal into several intrinsic modal functions with different characteristic time scales according to the characteristics of the input signal without knowing any prior knowledge. (Intrinsic mode function IMF) sum. EMD has been successfully applied in mechanical faul...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/14
CPCG06F17/14
Inventor 刘金朝孙善超成棣牛留斌张茂轩
Owner CHINA ACADEMY OF RAILWAY SCI CORP LTD
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