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On the energy leakage of discrete wavelet transform

Peng, Z.K., Jackson, M.R., Rongong, J.A., Chu, F.L. and Parkin, R.M. (2009) On the energy leakage of discrete wavelet transform. Mechanical Systems and Signal Processing, 23 (2). pp. 330-343. ISSN 0888-3270

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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.

Item Type: Article
Copyright, Publisher and Additional Information: Copyright (c) 2009 Elsevier Science B.V., Amsterdam. This is an author produced version of a paper published in ' Mechanical Systems and Signal Processing '. Uploaded in accordance with the publisher's self-archiving policy.
Keywords: Denoising Energy leakage Fault diagnosis Feature extraction Wavelet transform Discrete wavelet transforms Electric fault currents Probability density function Daubechies wavelets Discrete wavelet transform (dwt Energy leakages Experimental studies Numerical examples Numerical simulation studies Overlap degrees Re samplings Systematic investigations Time resolutions Wavelet functions Wavelet transforms
Institution: The University of Sheffield
Academic Units: The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Mechanical Engineering (Sheffield)
Depositing User: Mr Christopher Hardwick
Date Deposited: 24 Aug 2009 17:21
Last Modified: 08 Feb 2013 16:58
Published Version: http://dx.doi.org/10.1016/j.ymssp.2008.05.014
Status: Published
Publisher: Elsevier Science B.V., Amsterdam
Refereed: Yes
Identification Number: 10.1016/j.ymssp.2008.05.014
URI: http://eprints.whiterose.ac.uk/id/eprint/9208

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