Adaptive TQWT filter algorithm and its application in impact feature extraction

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Journal of Vibration and Shock ›› 2019, Vol. 38 ›› Issue (11) : 9-16.

KONG Yun, WANG Tianyang, CHU Fulei

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Abstract

It is essential to extract the weak faults’ impact features for condition monitoring and fault diagnosis of rotating machine equipment under stationary conditions. Aiming at the difficult problem to extract weak impact features of mechanical faults under strong background noise, an impact feature extraction algorithm based on the adaptive tunable Q-factor wavelet transform (TQWT) filter was proposed. TQWT, as an emerging wavelet construction theory developed in frequency domain explicitly, has advantages of matching the specific oscillatory behavior of signal components and being able to be realized efficiently using FFT algorithm. The proposed adaptive TQWT filter algorithm mainly involved the optimization selection of TQWT parameters (quality factor Q, redundancy r and number of decomposition levels J) and the adaptive selection of the optimal feature sub-band, not relying on prior knowledge. According to the proposed center frequency ratio index and the energy-weighted normalized wavelet entropy, optimization selections were performed for the number of decomposition level, Q-factor and redundancy, respectively, to construct the optimized tunable Q-factor wavelet base function being appropriate to reveal the impact signal components’ oscillatory behavior. Furthermore, the impact feature index was used to guide the selection of the optimal feature sub-band containing impact feature information. Finally, the inverse transform of TQWT was used to realize the signal reconstruction and de-noising to extract periodic weak impact features. Simulation tests and analysis results of actually measured bearing vibration signals showed that the proposed algorithm can be used to adaptively select TQWT parameters and realize the effective extraction of weak faults’ impact features.

Key words

Tunable Q-factor wavelet transform / Parameter selection / Energy-weighted normalized wavelet entropy / Impulse feature index / Incipient fault feature

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KONG Yun, WANG Tianyang, CHU Fulei. Adaptive TQWT filter algorithm and its application in impact feature extraction[J]. Journal of Vibration and Shock, 2019, 38(11): 9-16

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