Variable Filtered-Waveform Variational Mode Decomposition and Its Application in Rolling Bearing Fault Feature Extraction
Variational Mode Decomposition (VMD) serves as an effective method for simultaneously decomposing signals into a series of narrowband components. However, its theoretical foundation, the classical Wiener filter, exhibits limited adaptability when applied to broadband signals. This paper proposes a n...
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MDPI AG
2025-03-01
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| author | Nuo Li Hang Wang |
| author_facet | Nuo Li Hang Wang |
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| description | Variational Mode Decomposition (VMD) serves as an effective method for simultaneously decomposing signals into a series of narrowband components. However, its theoretical foundation, the classical Wiener filter, exhibits limited adaptability when applied to broadband signals. This paper proposes a novel Variable Filtered-Waveform Variational Mode Decomposition (VFW-VMD) method to address critical limitations in VMD, particularly in handling broadband and chirp signals. By incorporating fractional-order constraints and dynamically adjusting filter waveforms, the proposed algorithm effectively mitigates mode mixing and over-smoothing issues. The mathematical framework of VFW-VMD is formulated, and its decomposition performance is validated through simulations involving both synthetic and real-world signals. The results demonstrate that VFW-VMD exhibits superior adaptability in extracting broadband signals and effectively captures more rolling bearing fault features. This work advances signal processing techniques, enhancing capability and significantly improving the performance of practical bearing fault diagnostic applications. |
| format | Article |
| id | doaj-art-40b4f260ba734d0ca1f6a98ff336ba5c |
| institution | Kabale University |
| issn | 1099-4300 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | MDPI AG |
| record_format | Article |
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| spelling | doaj-art-40b4f260ba734d0ca1f6a98ff336ba5c2025-08-20T03:43:11ZengMDPI AGEntropy1099-43002025-03-0127327710.3390/e27030277Variable Filtered-Waveform Variational Mode Decomposition and Its Application in Rolling Bearing Fault Feature ExtractionNuo Li0Hang Wang1Key Subject Laboratory of Nuclear Safety and Simulation Technology, College of Nuclear Science and Technology, Harbin Engineering University, Harbin 150001, ChinaKey Subject Laboratory of Nuclear Safety and Simulation Technology, College of Nuclear Science and Technology, Harbin Engineering University, Harbin 150001, ChinaVariational Mode Decomposition (VMD) serves as an effective method for simultaneously decomposing signals into a series of narrowband components. However, its theoretical foundation, the classical Wiener filter, exhibits limited adaptability when applied to broadband signals. This paper proposes a novel Variable Filtered-Waveform Variational Mode Decomposition (VFW-VMD) method to address critical limitations in VMD, particularly in handling broadband and chirp signals. By incorporating fractional-order constraints and dynamically adjusting filter waveforms, the proposed algorithm effectively mitigates mode mixing and over-smoothing issues. The mathematical framework of VFW-VMD is formulated, and its decomposition performance is validated through simulations involving both synthetic and real-world signals. The results demonstrate that VFW-VMD exhibits superior adaptability in extracting broadband signals and effectively captures more rolling bearing fault features. This work advances signal processing techniques, enhancing capability and significantly improving the performance of practical bearing fault diagnostic applications.https://www.mdpi.com/1099-4300/27/3/277variational mode decompositionwideband signalmode mixingWiener filterbearing fault diagnosisenvelope spectral entropy |
| spellingShingle | Nuo Li Hang Wang Variable Filtered-Waveform Variational Mode Decomposition and Its Application in Rolling Bearing Fault Feature Extraction Entropy variational mode decomposition wideband signal mode mixing Wiener filter bearing fault diagnosis envelope spectral entropy |
| title | Variable Filtered-Waveform Variational Mode Decomposition and Its Application in Rolling Bearing Fault Feature Extraction |
| title_full | Variable Filtered-Waveform Variational Mode Decomposition and Its Application in Rolling Bearing Fault Feature Extraction |
| title_fullStr | Variable Filtered-Waveform Variational Mode Decomposition and Its Application in Rolling Bearing Fault Feature Extraction |
| title_full_unstemmed | Variable Filtered-Waveform Variational Mode Decomposition and Its Application in Rolling Bearing Fault Feature Extraction |
| title_short | Variable Filtered-Waveform Variational Mode Decomposition and Its Application in Rolling Bearing Fault Feature Extraction |
| title_sort | variable filtered waveform variational mode decomposition and its application in rolling bearing fault feature extraction |
| topic | variational mode decomposition wideband signal mode mixing Wiener filter bearing fault diagnosis envelope spectral entropy |
| url | https://www.mdpi.com/1099-4300/27/3/277 |
| work_keys_str_mv | AT nuoli variablefilteredwaveformvariationalmodedecompositionanditsapplicationinrollingbearingfaultfeatureextraction AT hangwang variablefilteredwaveformvariationalmodedecompositionanditsapplicationinrollingbearingfaultfeatureextraction |