Correlation-based gear signal noise reduction method combining EMD and morphological singular value decomposition
A singular value decomposition and correlation technology, applied in the field of signal processing, can solve problems such as difficult identification of defect features and loss of useful signal components, and achieve good application prospects, suppress impulse noise, and avoid interference
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[0041] The present invention will be further described below in conjunction with the accompanying drawings and specific embodiments.
[0042] A gear signal noise reduction method based on the combination of correlation-based EMD and morphological singular value decomposition, the process is as follows figure 1 As shown, the EMD method, autocorrelation function, cross-correlation coefficient method, SVD method and morphological filtering theory are comprehensively applied.
[0043] Specifically, the following steps are included:
[0044] 1) Simulate a simple local defect signal of a noisy gear with only a single frequency modulation, such as figure 2 shown; the noisy signal model can be expressed as: x(t)=2(1+cos2πf n t)cos2πf z t+0.2sin2πf n t+noise; where, f n = 20Hz is the gear rotation frequency, f z =100Hz is the gear meshing frequency.
[0045] 2) After EMD decomposition of the gear simulation signal, n IMF components and 1 residual component are obtained, such as...
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