Robust multisynchrosqueezing transform time frequency technologies with application to fault diagnosis

•Development of three robust TFA techniques—FLOLMSST, FLOIMSST, and FLOTMSST.•The proposed methods achieve significantly lower Renyi entropy and instantaneous frequency MSE values compared to existing techniques.•The methods can offer practical solutions for industrial fault diagnosis and feature ex...

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Published inInternational journal of electrical power & energy systems Vol. 170; p. 110849
Main Authors Wang, Haibin, Long, Junbo, Deng, Changshou, Zhou, Youxue
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.09.2025
Elsevier
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Abstract •Development of three robust TFA techniques—FLOLMSST, FLOIMSST, and FLOTMSST.•The proposed methods achieve significantly lower Renyi entropy and instantaneous frequency MSE values compared to existing techniques.•The methods can offer practical solutions for industrial fault diagnosis and feature extraction. Time-frequency analysis (TFA) methods serve as effective tools for analyzing stationary signals.Multisynchrosqueezing Transform (MSST) represents a novel post-processing TFA technology designed for pulse-like signals or noisy environments, aiming to enhance the concentration of time–frequency energy.However, in environments characterized by strong impulsive α stable distribution noise, the time–frequency concentration of existing MSST algorithms, a critical performance metric, is significantly compromised, leading to substantial local deviations. To address this limitation, several robust post-processing TFA technologies based on the fractional lower-order statistics theory have been proposed. These include the fractional lower-order local maximum multisynchrosqueezing transform (FLOLMSST), fractional lower-order improved multisynchrosqueezing transform (FLOIMSST), and fractional lower-order time-reassigned multisynchrosqueezing transform (FLOTMSST), with their computational processes detailedly derived. Numerical validation indicates that the proposed robust fractional lower-order MSST methods outperform existing MSST time–frequency techniques in handling α stable distribution environments. They effectively mitigate the interference of strong impulsive noise while maintaining high time–frequency concentration. Experimental analysis on rotating machinery bearing outer race fault signals demonstrates the efficacy of these robust methods, which can clearly reveal fault characteristics even in complex environments.
AbstractList Time-frequency analysis (TFA) methods serve as effective tools for analyzing stationary signals.Multisynchrosqueezing Transform (MSST) represents a novel post-processing TFA technology designed for pulse-like signals or noisy environments, aiming to enhance the concentration of time–frequency energy.However, in environments characterized by strong impulsive α stable distribution noise, the time–frequency concentration of existing MSST algorithms, a critical performance metric, is significantly compromised, leading to substantial local deviations. To address this limitation, several robust post-processing TFA technologies based on the fractional lower-order statistics theory have been proposed. These include the fractional lower-order local maximum multisynchrosqueezing transform (FLOLMSST), fractional lower-order improved multisynchrosqueezing transform (FLOIMSST), and fractional lower-order time-reassigned multisynchrosqueezing transform (FLOTMSST), with their computational processes detailedly derived. Numerical validation indicates that the proposed robust fractional lower-order MSST methods outperform existing MSST time–frequency techniques in handling α stable distribution environments. They effectively mitigate the interference of strong impulsive noise while maintaining high time–frequency concentration. Experimental analysis on rotating machinery bearing outer race fault signals demonstrates the efficacy of these robust methods, which can clearly reveal fault characteristics even in complex environments.
•Development of three robust TFA techniques—FLOLMSST, FLOIMSST, and FLOTMSST.•The proposed methods achieve significantly lower Renyi entropy and instantaneous frequency MSE values compared to existing techniques.•The methods can offer practical solutions for industrial fault diagnosis and feature extraction. Time-frequency analysis (TFA) methods serve as effective tools for analyzing stationary signals.Multisynchrosqueezing Transform (MSST) represents a novel post-processing TFA technology designed for pulse-like signals or noisy environments, aiming to enhance the concentration of time–frequency energy.However, in environments characterized by strong impulsive α stable distribution noise, the time–frequency concentration of existing MSST algorithms, a critical performance metric, is significantly compromised, leading to substantial local deviations. To address this limitation, several robust post-processing TFA technologies based on the fractional lower-order statistics theory have been proposed. These include the fractional lower-order local maximum multisynchrosqueezing transform (FLOLMSST), fractional lower-order improved multisynchrosqueezing transform (FLOIMSST), and fractional lower-order time-reassigned multisynchrosqueezing transform (FLOTMSST), with their computational processes detailedly derived. Numerical validation indicates that the proposed robust fractional lower-order MSST methods outperform existing MSST time–frequency techniques in handling α stable distribution environments. They effectively mitigate the interference of strong impulsive noise while maintaining high time–frequency concentration. Experimental analysis on rotating machinery bearing outer race fault signals demonstrates the efficacy of these robust methods, which can clearly reveal fault characteristics even in complex environments.
ArticleNumber 110849
Author Wang, Haibin
Deng, Changshou
Zhou, Youxue
Long, Junbo
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Keywords Bearing fault diagnosis
Time-frequency analysis
α Stable distribution
Multisynchrosqueezing transform
Language English
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Snippet •Development of three robust TFA techniques—FLOLMSST, FLOIMSST, and FLOTMSST.•The proposed methods achieve significantly lower Renyi entropy and instantaneous...
Time-frequency analysis (TFA) methods serve as effective tools for analyzing stationary signals.Multisynchrosqueezing Transform (MSST) represents a novel...
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SubjectTerms Bearing fault diagnosis
Multisynchrosqueezing transform
Time-frequency analysis
α Stable distribution
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Title Robust multisynchrosqueezing transform time frequency technologies with application to fault diagnosis
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