Multiwavelet construction via an adaptive symmetric lifting scheme and its applications for rotating machinery fault diagnosis

Measurement Science and Technology

Volumn 20, Issue 4, 2009, Pages

  Wang, Xiaodong ^a   Zi, Yanyang ^a   He, Zhengjia ^a,b  

^a XI'AN JIAOTONG UNIVERSITY   (China)

^b XI'AN JIAOTONG UNIVERSITY   (China)

Author keywords

Adaptive symmetric lifting scheme; Fault diagnosis; Multiwavelet

Indexed keywords

BEARINGS (MACHINE PARTS); FAILURE ANALYSIS; FAULT DETECTION; GENETIC ALGORITHMS; MACHINERY; ROLLER BEARINGS; ROTATING MACHINERY; VIBRATION ANALYSIS; WAVELET ANALYSIS;

ADAPTIVE LIFTING SCHEMES; DIAGNOSIS TECHNIQUES; GEARBOX VIBRATION SIGNAL; LIFTING SCHEMES; MACHINERY FAULT DIAGNOSIS; MULTIWAVELET; MULTIWAVELET CONSTRUCTION; PERFORMANCE MEASUREMENTS;

WAVELET TRANSFORMS;

EID: 63749116631     PISSN: 09570233     EISSN: 13616501     Source Type: Journal    
DOI: 10.1088/0957-0233/20/4/045103     Document Type: Article

References (25)

1. Fan X and Zuo M J 2008 Machine fault feature extraction based on intrinsic mode functions Meas. Sci. Technol. 19 045105
2. Sawalhi N, Randall R B and Endo H 2007 The enhancement of fault detection and diagnosis in rolling element bearings using minimum entropy deconvolution combined with spectral kurtosis Mech. Syst. Signal Process. 21 2616-33
3. Lei Y, He Z and Y Zi 2007 A new approach to intelligent fault diagnosis of rotating machinery Expert Syst. Appl. 35 1593-600
4. Daubechies I 1992 Ten Lectures on Wavelets (Philadelphia, PA: SIAM) chapters 1, 3-5
5. Tse P W, Yang W-X and Tam H Y 2004 Machine fault diagnosis through an effective exact wavelet analysis J. Sound Vib. 277 1005-24
6. Baydar N and Ball A 2003 Detection of gear failures via vibration and acoustic signals using wavelet transform Mech. Syst. Signal Process. 17 787-804
7. Jafarizadeh M A, Hassannejad R, Ettefagh M M and Chitsaz S 2008 Asynchronous input gear damage diagnosis using time averaging and wavelet filtering Mech. Syst. Signal Process. 22 172-201
8. Geronimo J S, Hardin D P and Massopust P R 1994 Fractal function and wavelet expansions based on several scaling functions J. Approx. Theory 78 373-401
9. Geronimo J S, Hardin D P and Massopust P R 1996 Construction of orthogonal wavelets using fractal interpolation functions SIAM J. Math. Anal. 27 1158-92
10. Qian Y, Huang C J, Chen C and Jiang X 2007 A multi-wavelet based algorithm for extracting diversiform partial discharge signals Autom. Electr. Power Syst. 31 75-80
11. Khadem S E and Rezaee M 2003 Development of vibration signature analysis using multiwavelet systems J. Sound Vib. 261 613-33
12. Wang X, Zi Y and He Z 2009 Multiwavelet denoising with improved neighboring coefficients for application in rolling bearing fault diagnosis Mech. Syst. Signal Process. submitted
13. Sweldens W 1996 The lifting scheme: a custom-design construction of biorthogonal wavelets Appl. Comput. Harmon. Anal. 3 186-200
14. Sweldens W 1997 The lifting scheme: a construction of second generation wavelets SIAM J. Math. Anal. 29 511-46
15. Chen H X, Patrick, Chua S K and Lim G H 2007 Vibration analysis with lifting scheme and generalized cross validation in fault diagnosis of water hydraulic system J. Sound Vib. 301 458-80
16. Jiang H, He Z, Duan C and Chen P 2006 Gearbox fault diagnosis using adaptive redundant lifting scheme Mech. Syst. Signal Process. 20 1992-2006
17. Li Z, He Z, Zi Y and Jiang H 2008 Rotating machinery fault diagnosis using signal-adapted lifting scheme Mech. Syst. Signal Process. 22 542-56
18. Keinert F 1997 Raising multiwavelet approximation order through lifting SIAM J. Math. Anal. 32 1032-49
19. Davis G, Strela V and Turcajova R 1999 Multiwavelet construction via the lifting scheme Wavelet Analysis and Multiresolution Methods (Lecture Notes in Pure and Applied Mathematics) ed T X He (New York: Dekker)
20. Averbuch A Z and Zheludev V A 2002 Lifting scheme for biorthogonal multiwavelets originated from hermite splines IEEE Trans. Signal Process. 50 487-500
21. Goh S S, Jiang Q and Xia T 2000 Construction of biorthogonal multiwavelets using the lifting scheme Appl. Comput. Harmon. Anal. 9 336-52
22. Xia X-G, Geronimo J S, Hardin D P and Suter B W 1996 Why and how prefiltering for discrete multiwavelet transforms IEEE Int. Conf. on Acoustics, Speech, and Signal Process. vol 3 pp 1578-81
23. Strela V and Walden A T 1998 Signal and image denoising via wavelet thresholding: orthogonal and biorthogonal, scalar and multiple wavelet transforms Technical Report TR-98-01 Imperial College, Statistics Section
24. Qu L and He Z 1986 Mechanical Diagnostics (China: Shanghai Science and Technology Press)
25. Strela V and Strang G 1994 Finite element multiwavelets Wavelet Applications in Signal and Image Processing II (SPIE Proc. vol 2303) ed A F Laine and M A Unser (Bellingham, WA: Society of Photo-Optical Industrial Engineers) pp 202-13