Improved Optimized Minimum Generalized L<sub>p</sub>/L<sub>q</sub> Deconvolution and Application to Bearing Fault Detection

Locating the fault-induced cyclic impulses from corrupted vibration signals is a key step in detecting bearing fault characteristics. Recently, a novel deconvolution technique named the optimized minimum generalized L<sub>p</sub>/L<sub>q</sub> deconvolution (OMGD) was propose...

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Main Authors: Na Yang, Zhigang Pan, Yuanbo Xu
Format: Article
Language:English
Published: MDPI AG 2025-03-01
Series:Machines
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Online Access:https://www.mdpi.com/2075-1702/13/4/270
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author Na Yang
Zhigang Pan
Yuanbo Xu
author_facet Na Yang
Zhigang Pan
Yuanbo Xu
author_sort Na Yang
collection DOAJ
description Locating the fault-induced cyclic impulses from corrupted vibration signals is a key step in detecting bearing fault characteristics. Recently, a novel deconvolution technique named the optimized minimum generalized L<sub>p</sub>/L<sub>q</sub> deconvolution (OMGD) was proposed and has been validated as a useful technique to highlight the periodic impulses related to bearing faults. However, the performance of the OMGD is associated with the appropriate selection of prior parameters, such as the filter length. In addition, the OMGD faces edge effect issues, leading to a shorter duration of the enhanced signal when compared to the measured signal. To overcome the shortcomings of the OMGD, this study proposes an improved version, termed the IOMGD. The enhanced technique employs an advanced sparrow search algorithm to automatically ascertain the filter length, doing away with the need for a predetermined fixed value. To solve the problem of the edge effect, a data extension technique based on the autoregressive model (AR-DET) is proposed to adaptively recover the length of the filtered signal to match that of the raw signal based on the properties observed at the filtered signal. The IOMGD’s superiority over the original OMGD has been substantiated by its performance on various real-world bearing fault datasets. Furthermore, a comparative analysis is performed between the IOMGD and other commonly used bearing fault diagnosis methods, revealing the superiority of the IOMGD.
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spelling doaj-art-96dd25fbcc7e4ce69f148bc68cf3f2dd2025-08-20T02:18:03ZengMDPI AGMachines2075-17022025-03-0113427010.3390/machines13040270Improved Optimized Minimum Generalized L<sub>p</sub>/L<sub>q</sub> Deconvolution and Application to Bearing Fault DetectionNa Yang0Zhigang Pan1Yuanbo Xu2School of Computer Science, Xijing University, Xi’an 710123, ChinaSchool of Automation, Xi’an University of Posts and Telecommunications, Xi’an 710121, ChinaSchool of Automation, Xi’an University of Posts and Telecommunications, Xi’an 710121, ChinaLocating the fault-induced cyclic impulses from corrupted vibration signals is a key step in detecting bearing fault characteristics. Recently, a novel deconvolution technique named the optimized minimum generalized L<sub>p</sub>/L<sub>q</sub> deconvolution (OMGD) was proposed and has been validated as a useful technique to highlight the periodic impulses related to bearing faults. However, the performance of the OMGD is associated with the appropriate selection of prior parameters, such as the filter length. In addition, the OMGD faces edge effect issues, leading to a shorter duration of the enhanced signal when compared to the measured signal. To overcome the shortcomings of the OMGD, this study proposes an improved version, termed the IOMGD. The enhanced technique employs an advanced sparrow search algorithm to automatically ascertain the filter length, doing away with the need for a predetermined fixed value. To solve the problem of the edge effect, a data extension technique based on the autoregressive model (AR-DET) is proposed to adaptively recover the length of the filtered signal to match that of the raw signal based on the properties observed at the filtered signal. The IOMGD’s superiority over the original OMGD has been substantiated by its performance on various real-world bearing fault datasets. Furthermore, a comparative analysis is performed between the IOMGD and other commonly used bearing fault diagnosis methods, revealing the superiority of the IOMGD.https://www.mdpi.com/2075-1702/13/4/270rolling bearingfault detectiondata extension techniqueenhanced sparrow search algorithmimproved optimized minimum generalized L<sub>p</sub>/L<sub>q</sub> deconvolution
spellingShingle Na Yang
Zhigang Pan
Yuanbo Xu
Improved Optimized Minimum Generalized L<sub>p</sub>/L<sub>q</sub> Deconvolution and Application to Bearing Fault Detection
Machines
rolling bearing
fault detection
data extension technique
enhanced sparrow search algorithm
improved optimized minimum generalized L<sub>p</sub>/L<sub>q</sub> deconvolution
title Improved Optimized Minimum Generalized L<sub>p</sub>/L<sub>q</sub> Deconvolution and Application to Bearing Fault Detection
title_full Improved Optimized Minimum Generalized L<sub>p</sub>/L<sub>q</sub> Deconvolution and Application to Bearing Fault Detection
title_fullStr Improved Optimized Minimum Generalized L<sub>p</sub>/L<sub>q</sub> Deconvolution and Application to Bearing Fault Detection
title_full_unstemmed Improved Optimized Minimum Generalized L<sub>p</sub>/L<sub>q</sub> Deconvolution and Application to Bearing Fault Detection
title_short Improved Optimized Minimum Generalized L<sub>p</sub>/L<sub>q</sub> Deconvolution and Application to Bearing Fault Detection
title_sort improved optimized minimum generalized l sub p sub l sub q sub deconvolution and application to bearing fault detection
topic rolling bearing
fault detection
data extension technique
enhanced sparrow search algorithm
improved optimized minimum generalized L<sub>p</sub>/L<sub>q</sub> deconvolution
url https://www.mdpi.com/2075-1702/13/4/270
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AT zhigangpan improvedoptimizedminimumgeneralizedlsubpsublsubqsubdeconvolutionandapplicationtobearingfaultdetection
AT yuanboxu improvedoptimizedminimumgeneralizedlsubpsublsubqsubdeconvolutionandapplicationtobearingfaultdetection