Method for determining number of modes of variational mode decomposition

A technology of variational modal decomposition and determination method, applied in complex mathematical operations and other directions, can solve the problems of high noise, high signal noise content, complex implementation, etc., to achieve the effect of suppressing noise content, accurate and effective determination, and improving accuracy

Pending Publication Date: 2019-09-20
ARMOR ACADEMY OF CHINESE PEOPLES LIBERATION ARMY
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The number of modes K determines the number of decomposition layers of the variational mode decomposition, which has a great influence on the decomposition results. The inaccurate value of K will lead to more noise contained in the obtained intrinsic mode function components, and th

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  • Method for determining number of modes of variational mode decomposition
  • Method for determining number of modes of variational mode decomposition
  • Method for determining number of modes of variational mode decomposition

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[0018] see figure 1 , the method for determining the number of modes of a variational mode decomposition of the present invention judges whether the variational mode decomposition is complete through the variation trend of the dominant center frequency of each layer decomposition, thereby determining the number of modes, including the following steps:

[0019] S1, initialize the 6 parameters of the variational mode decomposition, set the fidelity coefficient τ=0, the first center frequency update parameter DC=0, the center frequency initialization parameter init=1, the threshold of the convergence criterion ε=1e-7 , penalty factor α=2000, number of modes K=1;

[0020] S2, using the parameters set in step S1 to perform a layer of variational mode decomposition on the signal to be processed to obtain the center frequency of the first layer of decomposition;

[0021] S3, adding 1 to the K value of the mode number, keeping the other five parameters unchanged, repeating step S2, p...

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Abstract

A method for determining the number of modalities of variational mode decomposition comprises the following steps: S1, initializing variational mode decomposition parameters, carrying out one-layer decomposition on a signal, and obtaining the center frequency of the first-layer decomposition; S2, adding 1 to the modal number K, and repeating the step S1 to obtain the center frequency of the Kth layer of decomposition; S3, calculating errors of all decomposed center frequencies of (K-1)th layer and Kth layer, and finding out stable center frequencies; S4, calculating an average value of the stable center frequencies, and finding out a dominant center frequency; s5, judging whether number of dominant center frequencies obtained by decomposition of Kth layer is greater than that of dominant center frequencies obtained by decomposition of (K-1)th layer; and if yes, repeating the steps S2 to S2; if not, stopping decomposition, and determining the number of modes as the number of dominant center frequencies. The invention aims to provide a simple, feasible, accurate and effective mode number determination method for variational mode decomposition, and the accuracy of variational mode decomposition and the effect of fault signal analysis are improved.

Description

technical field [0001] The invention belongs to the field of fault signal analysis, and in particular relates to a method for determining the number of modes of variational mode decomposition. Background technique [0002] Variational mode decomposition is an adaptive non-recursive signal processing algorithm. This method determines the center frequency and bandwidth of each frequency component of the signal by iteratively searching for the optimal solution of the variational model, and can adaptively realize the division and Efficient separation of the individual eigenmode function components. Compared with traditional recursive algorithms such as empirical mode decomposition, variational mode decomposition effectively alleviates mode aliasing and boundary effects, and has high computing efficiency and strong robustness. It has been widely used in fault The field of signal analysis. [0003] When performing variational modal decomposition, it is necessary to set six param...

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Application Information

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IPC IPC(8): G06F17/16G06F17/18
CPCG06F17/16G06F17/18
Inventor 冯辅周万安张丽霞江鹏程刘锋丛华何嘉武朴相范吴守军吴春志王杰丁闯姬龙鑫王子涵
Owner ARMOR ACADEMY OF CHINESE PEOPLES LIBERATION ARMY
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