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Abstract:
In the whole process of compressed sensing algorithms, the classical sparse dictionary construction usually consumes a large amount of computing resource and shows low construction efficiency. As a result, a novel compressed sensing diagnosis method based on a single mode Laplace sparse dictionary is proposed. A characteristic segment containing multiple impacts is intercepted from the long signal, and a sliding window is applied on the spectrum of the segment to calculate the frequency root-mean-square, so that the resonance frequency band and its center can be identified. Therefore, the frequency parameter of the Laplace wavelet can be determined. Furthermore, a sliding time window is applied on above segment and the shifting kurtosis index curve can be obtained to extract the single impact segment. The relative filtering method is then utilized to determine the damping parameter of Laplace wavelet. Zero padding interpolation is performed to establish the impact atom whose length is equivalent with the long signal. At last, the cyclic shift strategy is applied to expand the single atom to a sparse dictionary matrix. The novel dictionary is then embedded in a compressed sensing procedure that combines a Gaussian measurement matrix and orthogonal matching pursuit algorithm. As a result, the novel compressed sensing diagnosis method is founded and validated by simulation and engineering data. The results have shown that the single mode Laplace wavelet dictionary can improve the efficiency of dictionary construction and reduce the storage space occupation. Most importantly, the compressed sensing procedure integrating the single mode sparse dictionary can obtain better compression and reconstruction effects than traditional methods, which can ensure the accurate fault feature identification in noisy environments. © 2024 Nanjing University of Aeronautics an Astronautics. All rights reserved.
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Journal of Vibration, Measurement and Diagnosis
ISSN: 1004-6801
Year: 2024
Issue: 3
Volume: 44
Page: 486-493and617
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ESI Highly Cited Papers on the List: 0 Unfold All
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30 Days PV: 8
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