Research on iterated Hilbert transform and its application in mechanical fault diagnosis

被引:75
作者
Qin, Yi [1 ]
Qin, Shuren [1 ]
Mao, Yongfang [1 ]
机构
[1] Chongqing Univ, Coll Mech Engn, Test Ctr, Chongqing 400030, Peoples R China
基金
中国国家自然科学基金;
关键词
multicomponent AM-FM signals; iterated Hilbert transform; filtering; instantaneous frequency estimation; fault diagnosis;
D O I
10.1016/j.ymssp.2008.01.014
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
Multicomponent AM-FM demodulation is an available method for machinery fault vibration signal analysis, so a new method for mechanical fault diagnosis based on iterated Hilbert transform (IHT) is proposed. The principle of computing the asymptotically exact multicomponent sinusoidal model for an arbitrary signal by iterating Hilbert transform is introduced, and sonic properties of IHT are analyzed. Theoretical analysis for the generic two-component signal shows that there are limitations in the direct estimation of instantaneous frequencies via the phase signals of the previously obtained model. Therefore, a smoothed instantaneous frequency estimation (SIFE) method based on difference operator and zero-phase digital low-pass filtering is proposed, and then the accuracy and validity of this method have been proved by the simulation results. The analysis results of the mechanical fault signals show that the weak features of these signals can be efficiently extracted with the proposed approach. (c) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1967 / 1980
页数:14
相关论文
共 19 条
[1]  
[Anonymous], 1993, DIGITAL FILTERS ANAL
[2]   ESTIMATING AND INTERPRETING THE INSTANTANEOUS FREQUENCY OF A SIGNAL .1. FUNDAMENTALS [J].
BOASHASH, B .
PROCEEDINGS OF THE IEEE, 1992, 80 (04) :520-538
[3]   AM-FM ENERGY DETECTION AND SEPARATION IN NOISE USING MULTIBAND ENERGY OPERATORS [J].
BOVIK, AC ;
MARAGOS, P ;
QUATIERI, TF .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1993, 41 (12) :3245-3265
[4]  
[丁康 Ding Kang], 2005, [振动工程学报, Journal of Vibration Engineering], V18, P304
[5]   Gearbox fault detection using Hilbert and wavelet packet transform [J].
Fan, XF ;
Zuo, MJ .
MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 2006, 20 (04) :966-982
[6]  
GIANFELICI F, 2005, P IEEE 13 WORKSH STA, P333
[7]   Multicomponent AM-FM representations: An asymptotically exact approach [J].
Gianfelici, Francesco ;
Biagetti, Giorgio ;
Crippa, Paolo ;
Turchetti, Claudio .
IEEE TRANSACTIONS ON AUDIO SPEECH AND LANGUAGE PROCESSING, 2007, 15 (03) :823-837
[8]   Audio segmentation by feature-space clustering using linear discriminant analysis and dynamic programming [J].
Goodwin, MM ;
Laroche, J .
2003 IEEE WORKSHOP ON APPLICATIONS OF SIGNAL PROCESSING TO AUDIO AND ACOUSTICS PROCEEDINGS, 2003, :131-134
[9]  
Hahn S L., 1996, Hilbert Transforms in Signal Processing
[10]   The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis [J].
Huang, NE ;
Shen, Z ;
Long, SR ;
Wu, MLC ;
Shih, HH ;
Zheng, QN ;
Yen, NC ;
Tung, CC ;
Liu, HH .
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1998, 454 (1971) :903-995