IMPROVED METHOD FOR HILBERT INSTANTANEOUS FREQUENCY ESTIMATION |
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Authors: | BO Lin LIU Xiaofeng QIN Shuren |
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Affiliation: | College of Mechanical Engineering, Chongqing University, Chongqing 400044, China |
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Abstract: | In the mechanical fault detection and diagnosis field, it is more and more important to analyze the instantaneous frequency (IF) character of complex vibration signal. The improved IF estimation method is put forward aiming at the shortage of traditional Hilbert transform. It is based on Hilbert transform in wavelet domain. With the help of relationship between the real part and the imaginary part obtained from the complex coefficient of continuous wavelet transform or the analytical signal reconstructed in wavelet packet decomposition, the instantaneous phase function of the subcomponent is extracted. In order to improve the precise of IF estimated out, some means such as Linear regression, adaptive filtering, resampling are applied into the instantaneous phase obtained, then, the central differencing operator is used to get desired IF. Simulation results with synthetic and gearbox fault signals are included to illustrate the proposed method. |
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Keywords: | Instantaneous frequency Hilbert transform Wavelet transform Linear regression Adaptive filtering Resampling FREQUENCY ESTIMATION HILBERT METHOD Simulation results synthetic gearbox fault signals method central differencing operator used resampling phase function adaptive filtering means Linear regression order |
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