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EMD improvement method suitable for signal decomposition

A signal decomposition and signal technology, which is applied in the testing of mechanical components, the testing of machine/structural components, and complex mathematical operations. Endpoint Effects, Avoid Endpoint Effects, Reduce Time-consuming Effects

Active Publication Date: 2019-08-06
HEBEI UNIV OF TECH
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Problems solved by technology

[0003]However, on the one hand, when the time scale of the signal is large, the adaptive EMD decomposition will decompose many modal components, some of which The analysis of the signal has no practical significance, but increases the time of EMD decomposition; on the other hand, the existence of endpoint effects in the process of EMD decomposition is not conducive to accurate analysis of the signal

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  • EMD improvement method suitable for signal decomposition
  • EMD improvement method suitable for signal decomposition
  • EMD improvement method suitable for signal decomposition

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Embodiment 1

[0054] This embodiment is applicable to the improved EMD method of signal decomposition, which is applied to the fan blade fault identification based on the acoustic signal feature library. For the specific process, see figure 1 , whose steps include:

[0055] Step 1. Define the average values ​​of all maximum and minimum values ​​of the signal x(t) to be processed as a and b, respectively, and use a as the beginning and end points of the upper envelope of the signal, and b as the lower envelope Then use the cubic spline interpolation method to connect a with all the maximum values ​​and b with all the minimum values ​​to obtain the upper and lower envelopes of the signal, and then calculate the mean line m of the two envelopes (t);

[0056] Step 2. Determine the difference h between x(t) and m(t) 1 (t) Whether the two conditions of the basic pattern component are met, if not, set h 1 (t) Repeat step 1 as the signal to be processed until h 1 (t) is a pattern component, den...

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Abstract

The invention provides an EMD (Empirical Mode Decomposition) improvement method applicable to signal decomposition, which comprises the following steps: calculating average values a and b of all maximum values and minimum values of a to-be-detected signal in the step of generating upper and lower envelope lines of the signal in a signal EMD decomposition process, and defining a and b as end pointsat the two ends of the upper and lower envelope lines of the signal; in the step of setting the signal decomposition stop criterion, setting a new stop criterion by using the local minimum value of the correlation coefficient between the adjacent imf components or the local maximum value of the variation trend of the spectral energy of the imf components, and replacing the traditional EMD decomposition stop criterion. The improved method can effectively solve the endpoint effect problem, can directly obtain an effective imf component, avoids the decomposition process of signal invalidation, shortens the time consumption of EMD signal decomposition, and improves the efficiency of EMD decomposition.

Description

technical field [0001] The invention relates to an improved EMD method suitable for signal decomposition. Background technique [0002] The Empirical Mode Decomposition (EMD) method is an adaptive decomposition method for any signal proposed by Chinese-American Norden E.Huang et al. after in-depth research on the concept of instantaneous frequency. A limited number of Intrinsic Mode Functions (IMF) are decomposed from high frequency to low frequency, which can more clearly reflect the frequency components of the signal. Based on this feature, EMD has been widely used in signal analysis and other fields. [0003] However, on the one hand, when the time scale of the signal is large, the adaptive EMD decomposition will decompose many modal components, and some of the modal components have no practical significance for the analysis of the signal, but instead increase the time of EMD decomposition ; On the other hand, the existence of the endpoint effect in the EMD decomposition...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/14G01H17/00G01M13/00
CPCG06F17/14G01M13/00G01H17/00
Inventor 张家安王宇星徐超林李志军
Owner HEBEI UNIV OF TECH
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