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Sparse optimization for nonlinear group delay mode estimation

Liang, Hao ; Ding, Xinghao ; Jakobsson, Andreas LU orcid ; Tu, Xiaotong LU orcid and Huang, Yue (2022) In Journal of the Acoustical Society of America 152(4). p.2187-2203
Abstract

Nonlinear group delay signals with frequency-varying characteristics are common in a wide variety of fields, for instance, structural health monitoring and fault diagnosis. For such applications, the signal is composed of multiple modes, where each mode may overlap in the frequency-domain. The resulting decomposition and forming of time-frequency representations of the nonlinear group delay modes is a challenging task. In this study, the nonlinear group delay signal is modelled in the frequency-domain. Exploiting the sparsity of the signal, we present the nonlinear group delay mode estimation technique, which forms the demodulation dictionary from the group delay. This method can deal with crossed modes and transient impulse signals.... (More)

Nonlinear group delay signals with frequency-varying characteristics are common in a wide variety of fields, for instance, structural health monitoring and fault diagnosis. For such applications, the signal is composed of multiple modes, where each mode may overlap in the frequency-domain. The resulting decomposition and forming of time-frequency representations of the nonlinear group delay modes is a challenging task. In this study, the nonlinear group delay signal is modelled in the frequency-domain. Exploiting the sparsity of the signal, we present the nonlinear group delay mode estimation technique, which forms the demodulation dictionary from the group delay. This method can deal with crossed modes and transient impulse signals. Furthermore, an augmented alternating direction multiplier method is introduced to form an efficient implementation. Numerical simulations and experimental data analysis show the effectiveness and advantages of the proposed method. In addition, the included analysis of Lamb waves as well as of a bearing signal show the method's potential for structural health monitoring and fault diagnosis.

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author
; ; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Journal of the Acoustical Society of America
volume
152
issue
4
pages
17 pages
publisher
American Institute of Physics (AIP)
external identifiers
  • pmid:36319234
  • scopus:85139978092
ISSN
0001-4966
DOI
10.1121/10.0014696
language
English
LU publication?
yes
id
bfb98c1a-4205-4584-80eb-a9728f857177
date added to LUP
2022-12-14 13:43:09
date last changed
2025-04-14 21:30:39
@article{bfb98c1a-4205-4584-80eb-a9728f857177,
  abstract     = {{<p>Nonlinear group delay signals with frequency-varying characteristics are common in a wide variety of fields, for instance, structural health monitoring and fault diagnosis. For such applications, the signal is composed of multiple modes, where each mode may overlap in the frequency-domain. The resulting decomposition and forming of time-frequency representations of the nonlinear group delay modes is a challenging task. In this study, the nonlinear group delay signal is modelled in the frequency-domain. Exploiting the sparsity of the signal, we present the nonlinear group delay mode estimation technique, which forms the demodulation dictionary from the group delay. This method can deal with crossed modes and transient impulse signals. Furthermore, an augmented alternating direction multiplier method is introduced to form an efficient implementation. Numerical simulations and experimental data analysis show the effectiveness and advantages of the proposed method. In addition, the included analysis of Lamb waves as well as of a bearing signal show the method's potential for structural health monitoring and fault diagnosis.</p>}},
  author       = {{Liang, Hao and Ding, Xinghao and Jakobsson, Andreas and Tu, Xiaotong and Huang, Yue}},
  issn         = {{0001-4966}},
  language     = {{eng}},
  number       = {{4}},
  pages        = {{2187--2203}},
  publisher    = {{American Institute of Physics (AIP)}},
  series       = {{Journal of the Acoustical Society of America}},
  title        = {{Sparse optimization for nonlinear group delay mode estimation}},
  url          = {{http://dx.doi.org/10.1121/10.0014696}},
  doi          = {{10.1121/10.0014696}},
  volume       = {{152}},
  year         = {{2022}},
}