&nbsp;Recursive Hilbert transform for vibration signal demodulation and instantaneous frequency estimation

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Journal of Vibration and Shock ›› 2016, Vol. 35 ›› Issue (7) : 39-43.

Recursive Hilbert transform for vibration signal demodulation and instantaneous frequency estimation

HU Zhi-xiang,REN Wei-xin

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Abstract

Accurately extracting instantaneous amplitude and estimating frequency are important problems in structure parameter identification and health monitoring. Hilbert transform is one of the most commonly used methods for signal demodulation and instantaneous frequency computation. However, it causes significant error when the establishment condition of Bedrosian identity is invalid. As such, a recursive Hilbert transform method is proposed, which regards the pure frequency modulation signal derived in the previous step as a new signal and demodulates the signal recursively. The convergence of the recursive procedures is proved by theoretical analysis. The proposed method is compared to Hilbert transform, empirical AM-FM decomposition, and Teager energy method in simulated signal demodulation or instantaneous frequency computation. The results show a good practicality and accuracy of the recursive Hilbert transform.

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Vibrating signal / Instantaneous frequency / Signal demodulation / Hilbert transform / empirical AM-FM decomposition

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HU Zhi-xiang,REN Wei-xin . Recursive Hilbert transform for vibration signal demodulation and instantaneous frequency estimation[J]. Journal of Vibration and Shock, 2016, 35(7): 39-43

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