Tracking and removing modulated sinusoidal components: A solution based on the kurtosis and the Extended Kalman Filter

Mechanical Systems and Signal Processing

Volumn 38, Issue 2, 2013, Pages 428-439

  Dion, Jean Luc ^a   Stephan, Cyrille ^b   Chevallier, Gaël ^a   Festjens, Hugo ^a  

^a High Institute of Mechanic of Paris   (France)

^b ONERA   (France)

Author keywords

Amplitude modulation; Detection; Extended Kaman Filter; Frequency modulation; Kurtosis; Operational modal analysis

Indexed keywords

DETECTION PROCESS; EXPERIMENTAL APPLICATION; EXTENDED KAMAN FILTER; FREQUENCY MODULATED; KURTOSIS; OPERATIONAL MODAL ANALYSIS; SINUSOIDAL COMPONENTS; TRACKING ALGORITHM;

AMPLITUDE MODULATION; ERROR DETECTION; HIGHER ORDER STATISTICS; MODAL ANALYSIS;

FREQUENCY MODULATION;

EID: 84878307806     PISSN: 08883270     EISSN: 10961216     Source Type: Journal    
DOI: 10.1016/j.ymssp.2013.04.001     Document Type: Article

References (38)

1. J.-L. Dion, I. Tawfiq, and G. Chevallier Sinusoidal component detection: optimized Spectral Kurtosis for operational modal analysis Mech. Syst. Signal Process. 26 2012 24 33
2. R.E. Kalman A new approach to linear filtering and prediction Problems Trans. Am. Soc. Mech. Eng. - Ser. D J. Basic Eng. 82 1960 35 45
3. S. Seibold, and K. Weinert A time domain method for the localization of cracks in rotors J. Sound Vib. 195 1996 57 73
4. Z. Wang, W. Yan, and Y. Shao Three-step method for stiffness identification of inter-story shearing structures under ambient excitation Tsinghua Sci. Technol. 14 2009 69 74
5. C.-K. Ma, D.-C. Lin, and J.-M. Chang Estimation of forces generated by a machine mounted upon isolators under operating conditions J. Franklin Inst. 336 1999 875 892
6. C.-K. Ma, and C.-C. Ho An inverse method for the estimation of input forces acting on non-linear structural systems J. Sound Vib. 275 2004 953 971
7. Y.M. Zhan, and A.K.S. Jardine Adaptive autoregressive modeling of non-stationary vibration signals under distinct gear states. Part 1: modeling J. Sound Vib. 286 2005 429 450
8. Y. Zhan, and C.K. Mechefske Robust detection of gearbox deterioration using compromised autoregressive modeling and Kolmogorov-Smirnov test statistic - Part I: Compromised autoregressive modeling with the aid of hypothesis tests and simulation analysis Mech. Syst. Signal Process. 21 2007 1953 1982
9. Y. Zhan, and C.K. Mechefske Robust detection of gearbox deterioration using compromised autoregressive modeling and Kolmogorov-Smirnov test statistic. Part II: experiment and application Mech. Syst. Signal Process. 21 2007 1983 2011
10. Y. Shao, and C.K. Mechefske Gearbox vibration monitoring using extended Kalman filters and hypothesis tests J. Sound Vib. 325 2009 629 648
11. G. Wang, Z. Luo, X. Qin, Y. Leng, and T. Wang Fault identification and classification of rolling element bearing based on time-varying autoregressive spectrum Mech. Syst. Signal Process. 22 2008 934 947
12. I.T. Al-Zaharnah Suppressing vibrations of machining processes in both feed and radial directions using an optimal control strategy: the case of interrupted cutting J. Mater. Process. Technol. 172 2006 305 310
13. X.-J. Dong, G. Meng, and J.-C. Peng Vibration control of piezoelectric smart structures based on system identification technique: Numerical simulation and experimental study J. Sound Vib. 297 2006 680 693
14. J. Marzbanrad, G. Ahmadi, H. Zohoor, and Y. Hojjat Stochastic optimal preview control of a vehicle suspension J. Sound Vib. 275 2004 973 990
15. T. Yoshimura, K. Edokoro, and N. Ananthanarayana An Active suspension model for rail/vehicle systems with preview and stochastic optimal control J. Sound Vib. 166 1993 507 519
16. M. Bai, J. Huang, M. Hong, and F. Su Fault diagnosis of rotating machinery using an intelligent order tracking system J. Sound Vib. 280 2005 699 718
17. J.R. Blough Development and analysis of time variant discrete Fourier transform order tracking Mech. Syst. Signal Process. 17 2003 1185 1199
18. Y. Guo, and K.K. Tan Order-crossing removal in Gabor order tracking by independent component analysis J. Sound Vib. 325 2009 471 488
19. M.-C. Pan, and C.-C. Chiu Investigation on improved Gabor order tracking technique and its applications J. Sound Vib. 295 2006 810 826
20. M.-C. Pan, S.-W. Liao, and C.-C. Chiu Improvement on Gabor order tracking and objective comparison with Vold-Kalman filtering order tracking Mech. Syst. Signal Process. 21 2007 653 667
21. H. Vold, J. Leuridan, High Resolution Order Tracking at Extreme Slew Rates, Using Kalman Tracking Filters. SAE Paper No. 931288, 1993
22. H. Vold, and H. Herlufsen Multi axle order tracking with the Vold-Kalman tracking filter Sound Vib. 31 5 1997 30 34
23. Y. Guo, and K.K. Tan High efficient crossing-order decoupling in Vold-Kalman filtering order tracking based on independent component analysis Mech. Syst. Signal Process. 24 2010 1756 1766
24. M.-C. Pan, and Y.-F. Lin Further exploration of Vold-Kalman-filtering order tracking with shaft-speed information - I: Theoretical part, numerical implementation and parameter investigations Mech. Syst. Signal Process. 20 2006 1134 1154
25. M.-C. Pan, and Y.-F. Lin Further exploration of Vold-Kalman-filtering order tracking with shaft-speed information - II: Engineering applications Mech. Syst. Signal Process. 20 2006 1410 1428
26. M.-C. Pan, and C.-X. Wu Adaptive Vold-Kalman filtering order tracking Mech. Syst. Signal Process. 21 2007 2957 2969
27. K.S. Wang, and P.S. Heyns An empirical re-sampling method on intrinsic mode function to deal with speed variation in machine fault diagnostics Appl. Soft Comput. 11 2011 5015 5027
28. K.S. Wang, and P.S. Heyns The combined use of order tracking techniques for enhanced Fourier analysis of order components Mech. Syst. Signal Process. 25 2011 803 811
29. K.S. Wang, and P.S. Heyns Application of computed order tracking, Vold-Kalman filtering and EMD in rotating machine vibration Mech. Syst. Signal Process. 25 2011 416 430
30. M.-C. Pan, and C.-X. Wu Extended angular-velocity Vold-Kalman order tracking J. Dyn. Sys Meas. Control 132 3 2010
31. T.W. Parks, and C.S. Burrus Digital Filter Design 1987 John Wiley & Sons New York Chapter 7
32. R.B. R. Cepstrum Analysis, in: Encyclopedia of Vibration 2001 Elsevier Oxford 216 227
33. F. La Scala, R. Bitmead, and R. James Conditions for stability of the Extended Kalman Filter and their application to the frequency tracking problem Math. Control Signals Syst. 8 1995 1 26
34. F. La Scala, and R. Bitmead Design of an Extended Kalman Filter frequency tracker IEEE Trans. Signal Process. 44 3 1996 739 742
35. F. La Scala, and R. Bitmead An extended Kalman filter frequency tracker for high-noise environments IEEE Trans. on Signal Process. 44 2 1996 431 434
36. S. Bittanti, and M SavaresiS. On the parameterization and design of an Extended Kalman Filter frequency tracker IEEE Trans. Autom. Control. 45 9 2000 1718 1724
37. H. Hajimolahoseini, M. Reza Taban, and H. Soltanian-Zadeh Extended Kalman Filter frequency tracker for nonstationary harmonic signals Measurement 45 2012 126 132
38. P. Mohanty, and D.J. Rixen Operational modal analysis in the presence of harmonic excitations J. Sound Vib. 270 2004 93 109