Time-frequency representation based on time-varying autoregressive model with applications to non-stationary rotor vibration analysis

citation_journal_title=Appl. Mech. Mater.; citation_title=Time-frequency feature extraction of a cracked shaft using an adaptive kernel; citation_author=M. Behzad, A. Ghias; citation_volume=5–6; citation_publication_date=2006; citation_pages=37-44; citation_doi=10.4028/www.scientific.net/AMM.5-6.37; citation_id=CR1 citation_journal_title=Chinese J. Mech. Eng.; citation_title=New technique for determinating the order of ARMA model based on genetic algorithm; citation_author=G. Chen; citation_volume=41; citation_issue=1; citation_publication_date=2005; citation_pages=41-45; citation_doi=10.3901/JME.2005.01.041; citation_id=CR2 citation_journal_title=Adv. Comput. Math.; citation_title=A B-spline approach for empirical mode decompositions; citation_author=Q. Chen, N. Huang, S. Riemenschneider, Y. Xu; citation_volume=24; citation_issue=1–4; citation_publication_date=2006; citation_pages=171-195; citation_doi=10.1007/s10444-004-7614-3; citation_id=CR3 citation_journal_title=Mech. Syst. Signal Proc.; citation_title=Genetic algorithm with an improved fitness function for (N)ARX modelling; citation_author=Q. Chen, K. Worden, P. Peng, A. Leung; citation_volume=21; citation_issue=2; citation_publication_date=2007; citation_pages=994-1007; citation_doi=10.1016/j.ymssp.2006.01.011; citation_id=CR4 citation_journal_title=Mech. Syst. Signal Proc.; citation_title=Research on the intrinsic mode function (IMF) criterion in EMD method; citation_author=J. Cheng, D. Yu, Y. Yang; citation_volume=20; citation_issue=4; citation_publication_date=2006; citation_pages=817-824; citation_doi=10.1016/j.ymssp.2005.09.011; citation_id=CR5 citation_journal_title=Mech. Syst. Signal Proc.; citation_title=Application of support vector regression machines to the processing of end effects of Hilbert-Huang transform; citation_author=J. Cheng, D. Yu, Y. Yang; citation_volume=21; citation_issue=3; citation_publication_date=2007; citation_pages=1197-1211; citation_doi=10.1016/j.ymssp.2005.09.005; citation_id=CR6 citation_journal_title=J. Vib. Acoust.; citation_title=Early detection of fatigue damage on rolling element bearings using adapted wavelet; citation_author=X. Chiementin, F. Bolaers, J. Dron; citation_volume=129; citation_issue=4; citation_publication_date=2007; citation_pages=495-506; citation_doi=10.1115/1.2748475; citation_id=CR7 citation_journal_title=Mech. Syst. Signal Proc.; citation_title=Spectral analysis for non-stationary signals from mechanical measurements: A parametric approach; citation_author=S. Conforto, T. D’alessio; citation_volume=13; citation_issue=3; citation_publication_date=1999; citation_pages=395-441; citation_doi=10.1006/mssp.1998.1220; citation_id=CR8 citation_journal_title=ICASSP-93; citation_title=Application of non-stationary analysis to machinery monitoring; citation_author=M. Dowling; citation_volume=1; citation_publication_date=1993; citation_pages=59-62; citation_id=CR9 citation_journal_title=Wear; citation_title=The investigation of the condition and faults of a spur gearbox using vibration and wear debris analysis techniques; citation_author=S. Ebersbach, Z. Peng, N. Kessissoglou; citation_volume=260; citation_issue=1–2; citation_publication_date=2006; citation_pages=16-24; citation_doi=10.1016/j.wear.2004.12.028; citation_id=CR10 citation_journal_title=Multidim. Syst. Signal Proc.; citation_title=Analysis of acoustic signatures from moving vehicles using time-varying autoregressive models; citation_author=K. Eom; citation_volume=10; citation_issue=4; citation_publication_date=1999; citation_pages=357-378; citation_doi=10.1023/A:1008475713345; citation_id=CR11 citation_journal_title=Int. J. Manuf. Res.; citation_title=Nonstationary signal processing for bearing health monitoring; citation_author=R. Gao, R. Yan; citation_volume=1; citation_issue=1; citation_publication_date=2006; citation_pages=18-40; citation_doi=10.1504/IJMR.2006.010701; citation_id=CR12 citation_journal_title=IEEE T. Acoust. Speech Signal Proc.; citation_title=Time-dependent ARMA modelling of non-stationary signals; citation_author=Y. Grenier; citation_volume=31; citation_issue=4; citation_publication_date=1983; citation_pages=899-911; citation_doi=10.1109/TASSP.1983.1164152; citation_id=CR13 citation_journal_title=Int. J. Wavelets Multi.; citation_title=Selection of resonance bands in complex shifted Morlet wavelet (CSMW) based demodulation of defective rolling element bearings vibration response; citation_author=K. Gryllias, I. Antoniadis; citation_volume=7; citation_issue=4; citation_publication_date=2009; citation_pages=387-410; citation_doi=10.1142/S0219691309002982; citation_id=CR14 citation_journal_title=Sādhanā-(Acad. Proc. Eng. Sci.); citation_title=Vibration-A tool for machine diagnostics and condition monitoring; citation_author=K. Gupta; citation_volume=22; citation_issue=3; citation_publication_date=1997; citation_pages=393-410; citation_id=CR15 citation_journal_title=EUPSICO; citation_title=Time-varying autoregressive modelling of audio and speech signals; citation_author=A. Härmä, M. Juntunen, J. Kaipio; citation_volume=2000; citation_publication_date=2000; citation_pages=2037-2040; citation_id=CR16 citation_journal_title=Signal Process.; citation_title=Time-varying parametric modelling of speech; citation_author=M. Hall, A. Openheim, A. Willsky; citation_volume=5; citation_issue=3; citation_publication_date=1983; citation_pages=267-285; citation_doi=10.1016/0165-1684(83)90074-9; citation_id=CR17 citation_journal_title=Sādhanā-(Acad. Proc. Eng. Sci.); citation_title=An introduction to genetic algorithms; citation_author=D. Kalyanmoy; citation_volume=24; citation_issue=45; citation_publication_date=1999; citation_pages=293-315; citation_id=CR18 citation_journal_title=Math. Comput. Simulation; citation_title=The study of the intermittency test filtering character of Hilbert-Huang transform; citation_author=H. Li, L. Yang, D. Huang; citation_volume=70; citation_issue=1; citation_publication_date=2005; citation_pages=22-32; citation_doi=10.1016/j.matcom.2005.03.020; citation_id=CR19 citation_journal_title=Mech. Syst. Signal Proc.; citation_title=Haar wavelet for machine fault diagnosis; citation_author=L. Li, L. Qu, X. Liao; citation_volume=21; citation_issue=4; citation_publication_date=2007; citation_pages=1773-1786; citation_doi=10.1016/j.ymssp.2006.07.006; citation_id=CR20 citation_journal_title=J. Vib. Eng.; citation_title=Some observations of rub-impact fault on jeffcott rotor; citation_author=Y. Liu, N. Hu; citation_volume=14; citation_issue=1; citation_publication_date=2001; citation_pages=96-99; citation_id=CR21 citation_journal_title=Mech. Syst. Signal Proc.; citation_title=Instantaneous energy density as a feature for gear fault detection; citation_author=S. Loutridis; citation_volume=20; citation_issue=5; citation_publication_date=2006; citation_pages=1239-1253; citation_doi=10.1016/j.ymssp.2004.12.001; citation_id=CR22 citation_journal_title=Sādhanā-(Acad. Proc. Eng. Sci.); citation_title=Application of 3D transforms in rotor systems; citation_author=C. Nagaraju, K. Narayana Rao, K. Mallikarjuna Rao; citation_volume=34; citation_issue=3; citation_publication_date=2009; citation_pages=407-419; citation_id=CR23 citation_journal_title=Mech. Syst. Signal Proc.; citation_title=Artificial neural network based fault diagnostics of rotating machinery using wavelet transforms as a preprocessor; citation_author=B. Paya, I. Esat, M. Badi; citation_volume=11; citation_issue=5; citation_publication_date=1997; citation_pages=751-765; citation_doi=10.1006/mssp.1997.0090; citation_id=CR24 citation_journal_title=Mech. Syst. Signal Proc.; citation_title=Application of the wavelet transform in machine condition monitoring and fault diagnostics: a review with bibliography; citation_author=Z. Peng, F. Chu; citation_volume=18; citation_issue=2; citation_publication_date=2004; citation_pages=199-221; citation_doi=10.1016/S0888-3270(03)00075-X; citation_id=CR25 citation_journal_title=J. Sound Vib.; citation_title=An improved Hilbert-Huang transform and its application in vibration signal analysis; citation_author=Z. Peng, W. Tse, F. Chu; citation_volume=286; citation_issue=1–2; citation_publication_date=2005; citation_pages=187-205; citation_doi=10.1016/j.jsv.2004.10.005; citation_id=CR26 citation_journal_title=Mech. Syst. Signal Proc.; citation_title=A comparison study of improved Hilbert-Huang transform and wavelet transform: Application to fault diagnosis for rolling bearing; citation_author=Z. Peng, W. Tse, F. Chu; citation_volume=19; citation_issue=5; citation_publication_date=2005; citation_pages=974-988; citation_doi=10.1016/j.ymssp.2004.01.006; citation_id=CR27 citation_journal_title=Mech. Syst. Signal Proc.; citation_title=On the energy leakage of discrete wavelet transform; citation_author=Z. Peng, M. Jackson, J. Rongong, F. Chu, R. Parkin; citation_volume=23; citation_issue=2; citation_publication_date=2009; citation_pages=330-343; citation_doi=10.1016/j.ymssp.2008.05.014; citation_id=CR28 citation_journal_title=Mech. Syst. Signal Proc.; citation_title=Parametric time-domain methods for non-stationary random vibration modelling and analysis — A critical survey and comparison; citation_author=A. Poulimenos, S. Fassois; citation_volume=20; citation_issue=4; citation_publication_date=2006; citation_pages=763-816; citation_doi=10.1016/j.ymssp.2005.10.003; citation_id=CR29 citation_journal_title=Mech. Syst. Signal Proc.; citation_title=Cosine window-based boundary processing method for EMD and its application in rubbing fault diagnosis; citation_author=K. Qi, Z. He, Y. Zi; citation_volume=21; citation_issue=7; citation_publication_date=2007; citation_pages=2750-2760; citation_doi=10.1016/j.ymssp.2007.04.007; citation_id=CR30 citation_journal_title=Mech. Syst. Signal Proc.; citation_title=Bearing fault diagnosis using FFT of intrinsic mode functions in Hilbert-Huang transform; citation_author=V. Rai, A. Mohanty; citation_volume=21; citation_issue=6; citation_publication_date=2007; citation_pages=2607-2615; citation_doi=10.1016/j.ymssp.2006.12.004; citation_id=CR31 Rajagopalan S, Restrepo J, Aller J, Habetler T, Harley R 2005 Selecting time-frequency representations for detecting rotor faults in BLDC motor operating under rapidly varying operating conditions. IECON: 2585–2590 citation_journal_title=Int. J. Comp. Sci. Netw. Secur.; citation_title=Towards optimal model order selection for autoregressive spectral analysis of mental tasks using genetic algorithm; citation_author=P. Ramaswamy; citation_volume=6; citation_issue=1; citation_publication_date=2006; citation_pages=153-162; citation_id=CR33 citation_journal_title=Packaging. Technol. Sci.; citation_title=The use of intrinsic mode functions to characterize shock and vibration in the distribution environment; citation_author=V. Rouillard, M. Sek; citation_volume=18; citation_issue=1; citation_publication_date=2005; citation_pages=39-51; citation_doi=10.1002/pts.677; citation_id=CR34 citation_journal_title=Meach. Syst. Signal Pr.; citation_title=Application of the envelope and wavelet transform analysis for the diagnosis of incipient faults in ball bearings; citation_author=R. Rubini, U. Meneghetti; citation_volume=15; citation_issue=2; citation_publication_date=2001; citation_pages=287-302; citation_doi=10.1006/mssp.2000.1330; citation_id=CR35 citation_journal_title=Mech. Mach. Theory.; citation_title=Condition monitoring of cracked rotors through transient response; citation_author=A. Sekhar, B. Prabhu; citation_volume=33; citation_issue=8; citation_publication_date=1998; citation_pages=1167-1175; citation_doi=10.1016/S0094-114X(97)00116-X; citation_id=CR36 citation_title=Time-varying autoregressive model based signal processing with applications to interference rejection in spread spectrum communications; citation_publication_date=1999; citation_id=CR37; citation_author=P. Shan; citation_publisher=Phd dissertation submitted to Virginia Polytechnic Institute and State University citation_journal_title=J. Vib. Acoust.; citation_title=Defect detection for bearings using envelope spectra of wavelet transform; citation_author=D. Shi, W. Wang, L. Qu; citation_volume=126; citation_issue=4; citation_publication_date=2004; citation_pages=567-573; citation_doi=10.1115/1.1804995; citation_id=CR38 citation_title=Time-varying autoregressive models for non-stationary acoustic signal and its frequency analysis; citation_publication_date=2003; citation_id=CR39; citation_author=C. Sodsri; citation_publisher=Phd dissertation submitted to Pennsylvania State University citation_journal_title=Comput. Stat. Data Analysis; citation_title=AR parameter estimation by a feed back neural network; citation_author=J. Tian, M. Juhola, T. Gronfors; citation_volume=25; citation_issue=1; citation_publication_date=1997; citation_pages=17-24; citation_doi=10.1016/S0167-9473(96)00084-9; citation_id=CR40 citation_journal_title=LNCS; citation_title=Building ARMA models with genetic algorithms; citation_author=M. Tommaso, P. Irene; citation_volume=2037; citation_publication_date=2001; citation_pages=335-342; citation_id=CR41 citation_journal_title=Signal Process.; citation_title=Model selection using a simplex reproduction genetic algorithm; citation_author=J. Vesin, R. Grüter; citation_volume=78; citation_issue=3; citation_publication_date=1999; citation_pages=321-327; citation_doi=10.1016/S0165-1684(99)00072-9; citation_id=CR42 citation_journal_title=J. Sound Vib.; citation_title=Application of wavelets to gearbox vibration signals for fault detection; citation_author=W. Wang, P. McFadden; citation_volume=23; citation_issue=5; citation_publication_date=1996; citation_pages=927-939; citation_doi=10.1006/jsvi.1996.0226; citation_id=CR43 citation_journal_title=Mech. Syst. Signal Proc.; citation_title=Modelling of low shaft speed bearing faults for condition monitoring; citation_author=Y. Wang, P. Kootsookos; citation_volume=12; citation_issue=3; citation_publication_date=1998; citation_pages=415-426; citation_doi=10.1006/mssp.1997.0149; citation_id=CR44 citation_journal_title=Mech. Syst. Signal Proc.; citation_title=Fault identification and classification of rolling element bearing based on time-varying autoregressive spectrum; citation_author=G. Wang, Z. Luo, X. Qin, Y. Leng, T. Wang; citation_volume=22; citation_issue=4; citation_publication_date=2008; citation_pages=934-947; citation_doi=10.1016/j.ymssp.2007.10.008; citation_id=CR45 citation_journal_title=J. Sound Vib.; citation_title=Adaptive autoregressive modelling of non-stationary vibration signals under distinct gear states. Part 1: modelling; citation_author=Y. Zhan, A. Jardine; citation_volume=286; citation_issue=3; citation_publication_date=2005; citation_pages=429-450; citation_doi=10.1016/j.jsv.2004.10.024; citation_id=CR46 citation_journal_title=Mech. Syst. Signal Proc.; citation_title=Adaptive state detection of gearboxes under varying load conditions based on parametric modelling; citation_author=Y. Zhan, V. Makis, A. Jardine; citation_volume=20; citation_issue=1; citation_publication_date=2006; citation_pages=188-221; citation_doi=10.1016/j.ymssp.2004.08.004; citation_id=CR47