Synchro-Reassigned Extracting Transform and Its Application to Bearing Fault Diagnosis under Variable Speed Condition

Hong-Yi Wu, Yong Lv, Rui Yuan, Xu Yang, Bowen Li
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Abstract

High-resolution time-frequency representation is critical for signal analysis and condition monitoring. synchroextracting transform based on frequency or time reassignment are new types of nonstationary signal processing methods, and their performance is better than that of conventional methods when analyzing time-varying signals. However, the limitation is that they cannot accurately analyze signals that contain both “slowly-varying” and “rapidly-varying” features. To avoid the disadvantages of SET, this paper proposes a novel strategy called Synchro-Reassigned Extracting Transform (SRET) to process nonstationary signals with different modulation characteristics. By using the instantaneous frequency operator and the group delay operator, SRET reassigns and extracts the time-frequency coefficients synchronously in the frequency and time directions to achieve sharpening of energy ridges. To use the computer for fast calculation, the paper also provides a discretization implementation algorithm. Finally, the proposed approach has been applied to numerical simulations and application research. The results show that SRET can accurately estimate the time-varying characteristics of nonstationary signals, and has the potential for fault diagnosis of rotating machinery.
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同步重分配提取变换及其在变速条件下轴承故障诊断中的应用
高分辨率时频表示是信号分析和状态监测的关键。基于频率或时间重分配的同步提取变换是一种新型的非平稳信号处理方法,在分析时变信号时,其性能优于传统方法。然而,其局限性在于不能准确地分析同时包含“慢变”和“快变”特征的信号。为了避免SET的缺点,本文提出了一种新的同步重分配提取变换(SRET)策略来处理具有不同调制特性的非平稳信号。SRET利用瞬时频率算子和群延迟算子,在频率和时间方向上同步重新分配和提取时频系数,实现能量脊的锐化。为了利用计算机进行快速计算,本文还提供了一种离散化实现算法。最后,将该方法应用于数值模拟和应用研究。结果表明,该方法能准确估计非平稳信号的时变特征,具有用于旋转机械故障诊断的潜力。
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