同步瞬态提取变换用于分析同时含有谐波和脉冲分量的信号
Synchro-Transient-Extracting Transform for the Analysis of Signals with Both Harmonic and Impulsive Components
AI总结：
针对同时含谐波和脉冲分量的信号，提出同步瞬态提取变换，通过按调频率分类时频系数并分别提取脊，实现能量集中表示并保留重构能力，经数值和实际信号验证有效。
摘要：
时频分析（TFA）技术在机械故障诊断领域发挥着重要作用，这归功于其处理非平稳信号的优越性。同步提取变换（SET）和瞬态提取变换（TET）是两种新兴技术，能够为非平稳信号产生能量集中的表示。然而，SET和TET分别仅适用于处理谐波信号和脉冲信号。当信号同时包含谐波和脉冲分量时，这两种技术各自都面临挑战。在本文中，我们提出一种新的TFA技术来解决这一问题。该技术首先根据信号的调频率将时频（TF）系数分为两类，然后分别提取TF脊，以避免单独使用SET和TET的局限性。这使得该技术能够为信号中的谐波和脉冲产生能量集中的TF表示。此外，我们从理论上证明了所提出的技术保留了信号重构能力。通过数值信号和实际信号验证了所提出技术的有效性。
英文摘要：
Time-frequency analysis (TFA) techniques play an important role in the field of machine fault diagnosis attributing to their superiority in dealing with nonstationary signals. Synchroextracting transform (SET) and transient-extracting transform (TET) are two newly emerging techniques that can produce energy concentrated representation for nonstationary signals. However, SET and TET are only suitable for processing harmonic signals and impulsive signals, respectively. This poses a challenge for each of these two techniques when a signal contains both harmonic and impulsive components. In this paper, we propose a new TFA technique to solve this problem. The technique first divides time-frequency (TF) coefficients into two types according to the chirp rate of the signal, and then TF ridges are respectively extracted to prevent the limitation for the independent use of SET and TET. This allows the technique to generate an energy-concentrated TF representation for both harmonics and impulses in the signal. Furthermore, we theoretically demonstrate that the proposed technique retains the signal reconstruction capability. The effectiveness of the proposed technique is verified using numerical and real-world signals.
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