Improved Wavelet Reassigned Scalograms and Application for Modal Parameter Estimation

The present work carries out a comprehensive investigation into the border distortion deficiency for the conventional scalogram and the reassigned scalogram. The reasons for this deficiency are analyzed, and a simple way is suggested to determine the border distortion ranges. New methods are propose...

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Main Authors: Z.K. Peng, G. Meng, F. L. Chu
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.3233/SAV-2010-0574
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author Z.K. Peng
G. Meng
F. L. Chu
author_facet Z.K. Peng
G. Meng
F. L. Chu
author_sort Z.K. Peng
collection DOAJ
description The present work carries out a comprehensive investigation into the border distortion deficiency for the conventional scalogram and the reassigned scalogram. The reasons for this deficiency are analyzed, and a simple way is suggested to determine the border distortion ranges. New methods are proposed to reduce the border distortions in both the scalograms. The practical meanings of the border distortion improvement method are demonstrated by applying both the scalograms with and without border distortion improvements to estimate the modal parameters for a 2-DOF linear system. The estimation results indicate that, in the presence of noise, which is inevitable in practice, for the mode with weak amplitude, the reassigned scalogram can perform better than the conventional scalogram in estimating the modal parameters. In addition, for the mode with short effective duration, its frequency components at the border distortion ranges are of great importance for the modal parameter estimation purpose, and the border distortion improvement method can greatly increase the estimation accuracy.
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institution Kabale University
issn 1070-9622
1875-9203
language English
publishDate 2011-01-01
publisher Wiley
record_format Article
series Shock and Vibration
spelling doaj-art-82a5c55572864512894878ef144db6222025-02-03T05:47:01ZengWileyShock and Vibration1070-96221875-92032011-01-01181-229931610.3233/SAV-2010-0574Improved Wavelet Reassigned Scalograms and Application for Modal Parameter EstimationZ.K. Peng0G. Meng1F. L. Chu2State Key Laboratory of Mechanical System and Vibration, Shanghai Jiao Tong University, Shanghai, 200240, ChinaState Key Laboratory of Mechanical System and Vibration, Shanghai Jiao Tong University, Shanghai, 200240, ChinaDepartment of Precision Instruments, Tsinghua University, Beijing 100084, ChinaThe present work carries out a comprehensive investigation into the border distortion deficiency for the conventional scalogram and the reassigned scalogram. The reasons for this deficiency are analyzed, and a simple way is suggested to determine the border distortion ranges. New methods are proposed to reduce the border distortions in both the scalograms. The practical meanings of the border distortion improvement method are demonstrated by applying both the scalograms with and without border distortion improvements to estimate the modal parameters for a 2-DOF linear system. The estimation results indicate that, in the presence of noise, which is inevitable in practice, for the mode with weak amplitude, the reassigned scalogram can perform better than the conventional scalogram in estimating the modal parameters. In addition, for the mode with short effective duration, its frequency components at the border distortion ranges are of great importance for the modal parameter estimation purpose, and the border distortion improvement method can greatly increase the estimation accuracy.http://dx.doi.org/10.3233/SAV-2010-0574
spellingShingle Z.K. Peng
G. Meng
F. L. Chu
Improved Wavelet Reassigned Scalograms and Application for Modal Parameter Estimation
Shock and Vibration
title Improved Wavelet Reassigned Scalograms and Application for Modal Parameter Estimation
title_full Improved Wavelet Reassigned Scalograms and Application for Modal Parameter Estimation
title_fullStr Improved Wavelet Reassigned Scalograms and Application for Modal Parameter Estimation
title_full_unstemmed Improved Wavelet Reassigned Scalograms and Application for Modal Parameter Estimation
title_short Improved Wavelet Reassigned Scalograms and Application for Modal Parameter Estimation
title_sort improved wavelet reassigned scalograms and application for modal parameter estimation
url http://dx.doi.org/10.3233/SAV-2010-0574
work_keys_str_mv AT zkpeng improvedwaveletreassignedscalogramsandapplicationformodalparameterestimation
AT gmeng improvedwaveletreassignedscalogramsandapplicationformodalparameterestimation
AT flchu improvedwaveletreassignedscalogramsandapplicationformodalparameterestimation