Research on iterated Hilbert transform and its application in mechanical fault diagnosis
Research on iterated Hilbert transform and its application in mechanical fault diagnosis
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DOI：
10.1016/j.ymssp.2008.01.014
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发表时间：
2008-11
影响因子：
8.4
通讯作者：
Yi Qin;S. Qin;Yongfang Mao
中科院分区：
文献类型：
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作者：
Yi Qin;S. Qin;Yongfang Mao
多分量AM-FM解调是机械故障振动信号分析的一种可用方法，因此提出了一种基于迭代希尔伯特变换（IHT）的机械故障诊断新方法。介绍了通过迭代Hilbert变换计算任意信号渐近精确多分量正弦模型的原理，并分析了IHT的一些性质。对一般二分量信号的理论分析表明，通过先前获得的模型的相位信号直接估计瞬时频率存在局限性。为此，提出一种基于差分算子和零相位数字低通滤波的平滑瞬时频率估计（SIFE）方法，并通过仿真结果证明了该方法的准确性和有效性。机械故障信号的分析结果表明，该方法可以有效地提取这些信号的弱特征。
Multicomponent AM–FM demodulation is an available method for machinery fault vibration signal analysis, so a new method for mechanical fault diagnosis based on iterated Hilbert transform (IHT) is proposed. The principle of computing the asymptotically exact multicomponent sinusoidal model for an arbitrary signal by iterating Hilbert transform is introduced, and some properties of IHT are analyzed. Theoretical analysis for the generic two-component signal shows that there are limitations in the direct estimation of instantaneous frequencies via the phase signals of the previously obtained model. Therefore, a smoothed instantaneous frequency estimation (SIFE) method based on difference operator and zero-phase digital low-pass filtering is proposed, and then the accuracy and validity of this method have been proved by the simulation results. The analysis results of the mechanical fault signals show that the weak features of these signals can be efficiently extracted with the proposed approach.