On the energy leakage of discrete wavelet transform

被引：61

作者：

Peng, Z. K. ^{[1
,2
]}

Jackson, M. R. ^{[2
]}

Rongong, J. A. ^{[3
]}

Chu, F. L. ^{[1
]}

Parkin, R. M. ^{[2
]}

机构：

[1] Tsinghua Univ, Dept Precis Instruments, Beijing 100084, Peoples R China

[2] Univ Loughborough, Wolfson Sch Mech & Manufacture Engn, Mechatron Res Grp, Leicester LE11 3UT, Leics, England

[3] Univ Sheffield, Dept Mech Engn, Sheffield S1 3JD, S Yorkshire, England

来源：

MECHANICAL SYSTEMS AND SIGNAL PROCESSING | 2009年 / 23卷 / 02期

基金：

英国工程与自然科学研究理事会;

关键词：

Wavelet transform; Energy leakage; Denoising; Feature extraction; Fault diagnosis; FAULT-DIAGNOSIS; SIGNAL; IDENTIFICATION; COMPRESSION; TURBULENCE; FREQUENCY; MOTORS;

D O I：

10.1016/j.ymssp.2008.05.014

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

The energy leakage is an inherent deficiency of discrete wavelet transform (DWT) which is often ignored by researchers and practitioners. In this paper, a systematic investigation into the energy leakage is reported. The DWT is briefly introduced first, and then the energy leakage phenomenon is described using a numerical example as an illustration and its effect on the DWT results is discussed. Focusing on the Daubechies wavelet functions, the band overlap between the quadrature mirror analysis filters was studied and the results reveal that there is an unavoidable tradeoff between the band overlap degree and the time resolution for the DWT. The dependency of the energy leakage to the wavelet function order was studied by using a criterion defined to evaluate the severity of the energy leakage. in addition, a method based on resampling technique was proposed to relieve the effects of the energy leakage. The effectiveness of the proposed method has been validated by numerical simulation study and experimental study. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：330 / 343

页数：14

共 24 条

[1] Wavelet analysis of long-range-dependent traffic [J].

Abry, P ;

Veitch, D .

IEEE TRANSACTIONS ON INFORMATION THEORY, 1998, 44 (01) :2-15

[2] Image coding using wavelet transform [J].

Antonini, Marc ;

Barlaud, Michel ;

Mathieu, Pierre ;

Daubechies, Ingrid .

IEEE TRANSACTIONS ON IMAGE PROCESSING, 1992, 1 (02) :205-220

[3] DWT analysis of numerical and experimental data for the diagnosis of dynamic eccentricities in induction motors [J].

Antonino-Daviu, J. ;

Jover, P. ;

Riera-Guasp, M. ;

Arkkio, A. ;

Roger-Folch, J. .

MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 2007, 21 (06) :2575-2589

[4] WAVELET ANALYSIS OF TURBULENCE REVEALS THE MULTIFRACTAL NATURE OF THE RICHARDSON CASCADE [J].

ARGOUL, F ;

ARNEODO, A ;

GRASSEAU, G ;

GAGNE, Y ;

HOPFINGER, EJ ;

FRISCH, U .

NATURE, 1989, 338 (6210) :51-53

[5] IMPROVING THE READABILITY OF TIME-FREQUENCY AND TIME-SCALE REPRESENTATIONS BY THE REASSIGNMENT METHOD [J].

AUGER, F ;

FLANDRIN, P .

IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1995, 43 (05) :1068-1089

[6] Crack identification in plates using wavelet analysis [J].

Douka, E ;

Loutridis, S ;

Trochidis, A .

JOURNAL OF SOUND AND VIBRATION, 2004, 270 (1-2) :279-295

[7] Separation of fault features from a single-channel mechanical signal mixture using wavelet decomposition [J].

Hong, Hoonbin ;

Liang, Ming .

MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 2007, 21 (05) :2025-2040

[8] Fault diagnosis of rotating machinery based on improved wavelet package transform and SVMs ensemble [J].

Hu, Qiao ;

He, Zhengjia ;

Zhang, Zhousuo ;

Zi, Yanyang .

MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 2007, 21 (02) :688-705

[9] Detection of minute signs of a small fault in a periodic or a quasi-periodic signal by the harmonic wavelet transform [J].

Inoue, Takumi ;

Sueoka, Atsuo ;

Kanemoto, Hiroyuki ;

Odahara, Satoru ;

Murakami, Yukitaka .

MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 2007, 21 (05) :2041-2055

[10] Scaling behaviour of heartbeat intervals obtained by wavelet-based time-series analysis [J].

Ivanov, PC ;

Rosenblum, MG ;

Peng, CK ;

Mietus, J ;

Havlin, S ;

Stanley, HE ;

Goldberger, AL .

NATURE, 1996, 383 (6598) :323-327

← 1 2 3 →