Feature extraction method of vibration signal under strong noise background
A vibration signal and feature extraction technology, applied in vibration measurement, vibration measurement in solids, measurement devices, etc., can solve the problems of noise sensitivity of characteristic signal components, easy generation of false components, and inability to effectively obtain signal characteristic components, etc. The effect of high analysis efficiency
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Embodiment 1
[0092] Object: s 1 (t)=[1+sin(5πt)]·cos[20πt+0.2sin(10πt)]+sin(80πt) (15)
[0093] The time sequence diagram described by the above formula (15) is as follows figure 2 shown.
[0094] For the time series given by equation (15), using the method provided by the present invention, the marginal spectrum obtained is as image 3 shown.
[0095] The Daubechies wavelet in the orthogonal wavelet is selected as the wavelet basis function, and the db10 in the MATLAB wavelet toolbox is used to decompose the time series given by equation (15) with 5 layers of wavelet, and then the obtained detail signal is reconstructed, Then do marginal spectrum analysis on the reconstructed signal, the marginal spectrum obtained in this way is as follows Figure 4 shown.
[0096] Perform 1.5-dimensional spectral analysis on the time series given by equation (15), and the obtained spectrum is as follows Figure 5 shown.
[0097] For the HHT analysis of the time series given by equation (15), first,...
Embodiment 2
[0100] Object: s 2 (t)=[1+sin(5πt)] cos[20πt+0.2sin(10πt)]+sin(80πt)+n(t) (16)
[0101] The above formula is obtained by adding the AM-FM signal constructed by equation (15) to the noise signal n(t) with zero mean value and variance of 15, and the time sequence diagram described by it is as follows Figure 7 shown.
[0102] For the time series given by equation (16), using the method provided by the present invention, the marginal spectrum obtained is as Figure 8 shown.
[0103] Apply db10 in the MATLAB wavelet toolbox to decompose the time series given by equation (16) with 5 layers of wavelet, and then reconstruct the obtained detail signal, and then perform marginal spectrum analysis on the reconstructed signal, the obtained The marginal spectrum is as Figure 9 shown.
[0104] The 1.5-dimensional spectrum analysis is performed on the AM-FM sequence containing noise, and the obtained spectrum is shown in Figure 10.
[0105] Performing HHT analysis on the time series ...
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