A new denoising method based on dual-tree complex wavelet transform and nonlinear time series

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Journal of Vibration and Shock ›› 2015, Vol. 34 ›› Issue (16) : 135-140.

XU Yong-gang，ZHAO Guo-liang，MA Chao-yong，ZHANG Jian-yu

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Abstract

A new denoising method based on dual-tree complex wavelet transform and nonlinear time series is proposed in this paper, considering the weakness, such as the phase distortion, of the wavelet soft-threshold denoising method, in which the real and image parts of the coefficient are processed individually. The new method process the magnitude of the complex coefficients instead, for the fact that the magnitude does not oscillate positive and negative which is more suitable for threshold denoising and the fact that the coefficients of the fault signal is always periodic. The nonlinear time series method can be used to strengthen the periodicity of the coefficients which is always caused by the fault signal and restrain the noise meanwhile. Firstly, the fault signal is decomposed by dual-tree complex wavelet transform to obtain the coefficients of different layers. Secondly, the nonlinear time series method is used to strengthen the periodicity of the coefficient whose amplitude is more periodic, and then do soft-threshold denoising to remove the DC component. Finally, the fault characteristic signal can be obtained by coefficient reconstruction. The simulation and experimental results show the effectiveness of this method, which provides a new efficient denoising method.

Key words

dual-tree complex wavelet transform (DT-CWT) / nonlinear time series / soft threshold / denoising

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XU Yong-gang，ZHAO Guo-liang，MA Chao-yong，ZHANG Jian-yu. A new denoising method based on dual-tree complex wavelet transform and nonlinear time series[J]. Journal of Vibration and Shock, 2015, 34(16): 135-140

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