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. 2022 Nov 12;22(22):8749. doi: 10.3390/s22228749
M=N−W+BB M is the number of samples after sliding segmentation
N is the sample length
W is the slip window size
B is the moving step size
Xnew=X0+w(X−X0) Xnew is the generated point
X0 is the minority category
X is the surrounding sample
w is the uniform random variable in the range (0,1)
x(t)∈L2(R) x(t) is the vibration signal
L2(R) is the Hilbert Space
wwt(a,b)=1a∫−∞+∞x(t) ψa,b(t−ba)dt a is the translation factor
b is the scale parameter
ψa,b is a family of wavelet functions
wwt(a,b) is the wavelet transform