A new time-frequency analysis method is proposed in this study using a multi-rate signal decomposition
technique for the analysis of non-stationary signals. The method uses a multi-rate filter bank for an improved
non-stationary signal decomposition treatment, and uses the Wigner-Ville distribution (WVD) analysis for signal
reconstruction. The method presented in this study can effectively resolves the time and frequency resolution
issue for non-stationary signal analysis and the cross-term issue typically encountered in time-frequency analysis.
The feasibility and accuracy of the proposed method are evaluated and verified in a numerical simulation.
LIN Haibo (林海波), GAO Zhibin (高志彬), YI Chuijie (仪垂杰), LIN Tianran (林天然)
. Simulation Study on Multi-Rate Time-Frequency Analysis of Non-Stationary Signals[J]. Journal of Shanghai Jiaotong University(Science), 2018
, 23(6)
: 798
-802
.
DOI: 10.1007/s12204-018-1967-0
[1] RAI A, UPADHYAY S H. A review on signal processingtechniques utilized in the fault diagnosis of rollingelement bearings [J]. Tribology International, 2016, 96:289-306.
[2] DINGK, LUOW, ZHUXY, et al.Method for increasingthe accuracy in processing twinkling-state torsionalvibration signal [J]. Journal of Vibration Engineering,2000, 13(2): 195-201 (in Chinese).
[3] ZHU Q, WANG Y S, SHEN G Q. Research and comparisonof time-frequency techniques for nonstationarysignals [J]. Journal of Computers, 2012, 7(4): 954-958.
[4] FERGUSON B G, QUINN B G. Application of theshort-time Fourier transform and the Wigner-Ville distributionto the acoustic localization of aircraft [J].Journal of the Acoustical Society of America, 1994,96(2): 821-827.
[5] WIGNER E. On the quantum correction for the thermodynamicequilibrium [J]. Physical Review, 1932, 40:749-759.
[6] MARK W D. Spectral analysis of the convolutionand filtering of non-stationary stochastic processes [J].Journal of Sound and Vibration, 1970, 11(1): 19-63.
[7] BEYLKIN G, COIFMAN R, ROKHLIN V. Fastwavelet transforms and numerical algorithms I [J].Communications on Pure & Applied Mathematics,2010, 44(2): 141-183.
[8] SERRANO E P, FABIO M A. Application of thewavelet transform to acoustic emission signals processing[J]. IEEE Transactions on Signal Processing, 2002,44(5): 1270-1275.
[9] LOH C H, WU T C, HUANG N E. Application ofthe empirical mode decomposition-Hilbert spectrummethod to identify near-fault ground-motion characteristicsand structural responses [J]. Bulletin of theSeismological Society of America, 2004, 91(5): 1339-1357.
[10] JEONG J, WILLIAMSWJ. Kernel design for reducedinterference distributions [J]. IEEE Transactions onSignal Processing, 1992, 40(2): 402-412.
[11] PACHORI R B, SIRCAR P. A new technique to reducecross terms in the Wigner distribution [J]. DigitalSignal Processing, 2007, 17(2): 466-474.
[12] SHEN L R, LI X P, SUN H F, et al. A novel period estimation method for X-ray pulsars based on frequencysubdivision [J]. Frontiers of Information Technology &Electronic Engineering, 2015, 16(10): 858-870.
