Construction of a symmetrical shift-invariant fractional overcomplete wavelet and its application in bearing fault diagnosis
Shen Zheng-we · Chinese journal of engineering · 2015
This article introduces the design of symmetrical approximately shift-invariant fractional overcomplete wavelet transforms.First,a design scheme for the symmetrical low-pass filter with minimum-length was proposed,and then the corresponding highpass filters with approximately shift-invariant properties were constructed via Toeplitz matrix factorization,which has a lower computational complexity than other methods.In addition,fractional overcomplete wavelet transforms could be designed with higher vanishing moments through the method proposed.Subsequently,a bearing fault diagnosis scheme was proposed using the symmetrical shiftinvariant fractional overcomplete wavelet transforms.Experimental results show that the bearing faults can be detected effectively using the symmetrical shift-invariant fractional overcomplete wavelet transforms.