Enhancement of signal denoising and multiple fault signatures detecting in rotating machinery using dual-tree complex wavelet transform

In order to enhance the desired features related to some special type of machine fault, a technique based on the dual-tree complex wavelet transform (DTCWT) is proposed in this paper. It is demonstrated that DTCWT enjoys better shift invariance and reduced spectral aliasing than second-generation wavelet transform (SGWT) and empirical mode decomposition by means of numerical simulations. These advantages of the DTCWT arise from the relationship between the two dual-tree wavelet basis functions, instead of the matching of the used single wavelet basis function to the signal being analyzed. Since noise inevitably exists in the measured signals, an enhanced vibration signals denoising algorithm incorporating DTCWT with NeighCoeff shrinkage is also developed. Denoising results of vibration signals resulting from a crack gear indicate the proposed denoising method can effectively remove noise and retain the valuable information as much as possible compared to those DWT- and SGWT-based NeighCoeff shrinkage denoising methods. As is well known, excavation of comprehensive signatures embedded in the vibration signals is of practical importance to clearly clarify the roots of the fault, especially the combined faults. In the case of multiple features detection, diagnosis results of rolling element bearings with combined faults and an actual industrial equipment confirm that the proposed DTCWT-based method is a powerful and versatile tool and consistently outperforms SGWT and fast kurtogram, which are widely used recently. Moreover, it must be noted, the proposed method is completely suitable for on-line surveillance and diagnosis due to its good robustness and efficient algorithm.

[1]  Jinwu,et al.  NEW METHOD OF EXTRACTING WEAK FAILURE INFORMATION IN GEARBOX BY COMPLEX WAVELET DENOISING , 2008 .

[2]  Bo Hu,et al.  A Novel Scheme for the Design of Approximate Hilbert Transform Pairs of Orthonormal Wavelet Bases , 2008, IEEE Transactions on Signal Processing.

[3]  Robert B. Randall,et al.  The spectral kurtosis: application to the vibratory surveillance and diagnostics of rotating machines , 2006 .

[4]  Wenyi Wang,et al.  EARLY DETECTION OF GEAR TOOTH CRACKING USING THE RESONANCE DEMODULATION TECHNIQUE , 2001 .

[5]  Wim Sweldens,et al.  The lifting scheme: a construction of second generation wavelets , 1998 .

[6]  C. Burrus,et al.  Noise reduction using an undecimated discrete wavelet transform , 1996, IEEE Signal Processing Letters.

[7]  Y. Zi,et al.  A demodulation method based on improved local mean decomposition and its application in rub-impact fault diagnosis , 2009 .

[8]  Stéphane Mallat,et al.  Multifrequency channel decompositions of images and wavelet models , 1989, IEEE Trans. Acoust. Speech Signal Process..

[9]  Aryaz Baradarani,et al.  Sampled-Data Design of FIR Dual Filter Banks for Dual-Tree Complex Wavelet Transforms via LMI Optimization , 2008, IEEE Transactions on Signal Processing.

[10]  V. Purushotham,et al.  Multi-fault diagnosis of rolling bearing elements using wavelet analysis and hidden Markov model based fault recognition , 2005 .

[11]  Jiang Hongkai,et al.  A sliding window feature extraction method for rotating machinery based on the lifting scheme , 2007 .

[12]  Bogdan Dumitrescu,et al.  Optimization of Symmetric Self-Hilbertian Filters for the Dual-Tree Complex Wavelet Transform , 2008, IEEE Signal Processing Letters.

[13]  Anoushiravan Farshidianfar,et al.  Rolling element bearings multi-fault classification based on the wavelet denoising and support vector machine , 2007 .

[14]  Hong Fan,et al.  Rotating machine fault diagnosis using empirical mode decomposition , 2008 .

[15]  Yang Yu,et al.  A fault diagnosis approach for roller bearings based on EMD method and AR model , 2006 .

[16]  Li Zhen,et al.  Customized wavelet denoising using intra- and inter-scale dependency for bearing fault detection , 2008 .

[17]  Yaguo Lei,et al.  Application of the EEMD method to rotor fault diagnosis of rotating machinery , 2009 .

[18]  Marimuthu Palaniswami,et al.  Orthonormal Hilbert-Pair of Wavelets With (Almost) Maximum Vanishing Moments , 2006, IEEE Signal Processing Letters.

[19]  J. Antoni Fast computation of the kurtogram for the detection of transient faults , 2007 .

[20]  Robert B. Randall,et al.  The enhancement of fault detection and diagnosis in rolling element bearings using minimum entropy deconvolution combined with spectral kurtosis , 2007 .

[21]  Umberto Meneghetti,et al.  Application of the envelope and wavelet transform analyses for the diagnosis of incipient faults in ball bearings , 2001 .

[22]  H. Ozkaramanli,et al.  Hilbert transform pairs of orthogonal wavelet bases: necessary and sufficient conditions , 2005, IEEE Transactions on Signal Processing.

[23]  Martin J. Wainwright,et al.  Image denoising using scale mixtures of Gaussians in the wavelet domain , 2003, IEEE Trans. Image Process..

[24]  J. Antoni Cyclic spectral analysis in practice , 2007 .

[25]  N. Huang,et al.  The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis , 1998, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[26]  B. Silverman,et al.  Incorporating Information on Neighboring Coefficients Into Wavelet Estimation , 2001 .

[27]  C. Sidney Burrus,et al.  Approximate continuous wavelet transform with an application to noise reduction , 1998, Proceedings of the 1998 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP '98 (Cat. No.98CH36181).

[28]  Daming Lin,et al.  A review on machinery diagnostics and prognostics implementing condition-based maintenance , 2006 .

[29]  N. Kingsbury Complex Wavelets for Shift Invariant Analysis and Filtering of Signals , 2001 .

[30]  Levent Sendur,et al.  Bivariate shrinkage functions for wavelet-based denoising exploiting interscale dependency , 2002, IEEE Trans. Signal Process..

[31]  F. Combet,et al.  Optimal filtering of gear signals for early damage detection based on the spectral kurtosis , 2009 .

[32]  J. Antoni The spectral kurtosis: a useful tool for characterising non-stationary signals , 2006 .

[33]  Jérôme Antoni,et al.  Indicators of cyclostationarity: Theory and application to gear fault monitoring , 2008 .

[34]  I. Selesnick Hilbert transform pairs of wavelet bases , 2001, IEEE Signal Processing Letters.

[35]  V. Rai,et al.  Bearing fault diagnosis using FFT of intrinsic mode functions in Hilbert-Huang transform , 2007 .

[36]  Liangsheng Qu,et al.  An improved method for restraining the end effect in empirical mode decomposition and its applications to the fault diagnosis of large rotating machinery , 2008 .

[37]  Ivan W. Selesnick,et al.  The design of approximate Hilbert transform pairs of wavelet bases , 2002, IEEE Trans. Signal Process..

[38]  Yanyang Zi,et al.  Rotating machinery fault diagnosis using signal-adapted lifting scheme , 2008 .

[39]  Richard Baraniuk,et al.  The Dual-tree Complex Wavelet Transform , 2007 .

[40]  Robert X. Gao,et al.  Rotary Machine Health Diagnosis Based on Empirical Mode Decomposition , 2008 .

[41]  Yaguo Lei,et al.  Application of a Novel Hybrid Intelligent Method to Compound Fault Diagnosis of Locomotive Roller Bearings , 2008 .

[42]  Robert D. Nowak,et al.  Wavelet-based statistical signal processing using hidden Markov models , 1998, IEEE Trans. Signal Process..

[43]  Hüseyin Özkaramanli,et al.  Hilbert transform pairs of biorthogonal wavelet bases , 2006, IEEE Transactions on Signal Processing.

[44]  Marimuthu Palaniswami,et al.  Hilbert pair of wavelets via the matching design technique [matched filters] , 2005, 2005 IEEE International Symposium on Circuits and Systems.

[45]  Nick Kingsbury,et al.  The dual-tree complex wavelet transform: a new technique for shift invariance and directional filters , 1998 .

[46]  Caroline Chaux,et al.  Noise Covariance Properties in Dual-Tree Wavelet Decompositions , 2007, IEEE Transactions on Information Theory.

[47]  J. Antonino-Daviu,et al.  Application and Optimization of the Discrete Wavelet Transform for the Detection of Broken Rotor Bars in Induction Machines , 2006 .