The lifting scheme: a construction of second generation wavelets
SIAM Journal on Mathematical Analysis
Mechanical equipment fault diagnosis based on redundant second generation wavelet packet transform
Digital Signal Processing
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Due to the widespread application of rolling element bearings, it is necessary to effectively monitor their health status. The shock pulse method (SPM) has been widely used as a quantitative method for bearing condition monitoring. However, the shock value indicating the bearing condition may be mistakenly estimated by direct demodulation in the SPM. To overcome this deficiency, a new approach based on improved redundant lifting scheme (IRLS) is proposed. The classical redundant lifting scheme is improved by adding the normalization factors to avoid error propagation of decomposition results, and the IRLS is applied to preprocess the bearing vibration signals. Then the maximum normalized shock value of detail signals in decomposition results is used as a measure of the bearing condition. The effectiveness of the proposed method is demonstrated by applying it to both simulated signals and practical bearing vibration signals under different conditions. The results show that the proposed method is effective for bearing condition monitoring.