Sparse Reconstruction Based on the ADMM and Lasso-LSQR for Bearings Vibration Signals

In this paper, we introduce a novel method for reconstructing roller bearings vibration signals. As well as the sparse reconstruction algorithm, our approach is based on the Lasso via the alternate direction multiplier method (ADMM) and optimized by least square QR-factorization (LSQR), which takes...

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Main Authors: Wanqing Song, Maria N. Nazarova, Yujin Zhang, Ting Zhang, Ming Li
Format: Article
Language:English
Published: IEEE 2017-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/8052110/
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author Wanqing Song
Maria N. Nazarova
Yujin Zhang
Ting Zhang
Ming Li
author_facet Wanqing Song
Maria N. Nazarova
Yujin Zhang
Ting Zhang
Ming Li
author_sort Wanqing Song
collection DOAJ
description In this paper, we introduce a novel method for reconstructing roller bearings vibration signals. As well as the sparse reconstruction algorithm, our approach is based on the Lasso via the alternate direction multiplier method (ADMM) and optimized by least square QR-factorization (LSQR), which takes the priority over the Basis Pursuit and Lasso in iterations and errors. First, we use the discrete cosine transformation to achieve sparse signals, then we compress signals by using the Gaussian random matrix, and, finally, we reconstruct the original signals with the Lasso-LSQR by using the ADMM. According to the results, vibration signals can keep sufficient reconstruction accuracy with high compressive ratio, which validates the effectiveness of the method for vibration signals.
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spelling doaj.art-43e380bac3d84c7686c7a7b32256ad1c2022-12-21T18:14:26ZengIEEEIEEE Access2169-35362017-01-015200832008810.1109/ACCESS.2017.27570268052110Sparse Reconstruction Based on the ADMM and Lasso-LSQR for Bearings Vibration SignalsWanqing Song0https://orcid.org/0000-0002-0561-3258Maria N. Nazarova1Yujin Zhang2Ting Zhang3Ming Li4https://orcid.org/0000-0002-2725-353XSchool of Electronic and Electrical Engineering, Shanghai University of Engineering Science, Shanghai, ChinaTransportation and Storage of Oil and Gas Department, Saint Petersburg Mining University, Saint Petersburg, RussiaSchool of Electronic and Electrical Engineering, Shanghai University of Engineering Science, Shanghai, ChinaSchool of Machine Engineering, Shanghai University of Engineering Science, Shanghai, ChinaSchool of Information Science and Technology, East China Normal University, Shanghai, ChinaIn this paper, we introduce a novel method for reconstructing roller bearings vibration signals. As well as the sparse reconstruction algorithm, our approach is based on the Lasso via the alternate direction multiplier method (ADMM) and optimized by least square QR-factorization (LSQR), which takes the priority over the Basis Pursuit and Lasso in iterations and errors. First, we use the discrete cosine transformation to achieve sparse signals, then we compress signals by using the Gaussian random matrix, and, finally, we reconstruct the original signals with the Lasso-LSQR by using the ADMM. According to the results, vibration signals can keep sufficient reconstruction accuracy with high compressive ratio, which validates the effectiveness of the method for vibration signals.https://ieeexplore.ieee.org/document/8052110/Sparse reconstructionADMMbearing vibrationLasso-LSQR
spellingShingle Wanqing Song
Maria N. Nazarova
Yujin Zhang
Ting Zhang
Ming Li
Sparse Reconstruction Based on the ADMM and Lasso-LSQR for Bearings Vibration Signals
IEEE Access
Sparse reconstruction
ADMM
bearing vibration
Lasso-LSQR
title Sparse Reconstruction Based on the ADMM and Lasso-LSQR for Bearings Vibration Signals
title_full Sparse Reconstruction Based on the ADMM and Lasso-LSQR for Bearings Vibration Signals
title_fullStr Sparse Reconstruction Based on the ADMM and Lasso-LSQR for Bearings Vibration Signals
title_full_unstemmed Sparse Reconstruction Based on the ADMM and Lasso-LSQR for Bearings Vibration Signals
title_short Sparse Reconstruction Based on the ADMM and Lasso-LSQR for Bearings Vibration Signals
title_sort sparse reconstruction based on the admm and lasso lsqr for bearings vibration signals
topic Sparse reconstruction
ADMM
bearing vibration
Lasso-LSQR
url https://ieeexplore.ieee.org/document/8052110/
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AT mariannazarova sparsereconstructionbasedontheadmmandlassolsqrforbearingsvibrationsignals
AT yujinzhang sparsereconstructionbasedontheadmmandlassolsqrforbearingsvibrationsignals
AT tingzhang sparsereconstructionbasedontheadmmandlassolsqrforbearingsvibrationsignals
AT mingli sparsereconstructionbasedontheadmmandlassolsqrforbearingsvibrationsignals