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Atomic Norm Minimization for Modal Analysis with Random Spatial Compression

Abstract: 

Identifying characteristic vibrational modes and frequencies is of great importance for monitoring the health of structures such as buildings and bridges. In this work, we address the problem of estimating the modal parameters of a structure from small amounts of vibrational data collected from wireless sensors distributed on the structure. We consider a randomized spatial compression scheme for minimizing the amount of data that is collected and transmitted by the sensors. Using the recent technique of atomic norm minimization, we show that under certain conditions exact recovery of the mode shapes and frequencies is possible. In addition, in a simulation based on synthetic data, our method outperforms a singular value decomposition (SVD) based method for modal analysis that uses the uncompressed data set.

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Paper Details

Authors:
Shuang Li, Dehui Yang, Michael Wakin
Submitted On:
12 March 2017 - 4:50pm
Short Link:
Type:
Poster
Event:
Presenter's Name:
Shuang Li
Paper Code:
2193
Document Year:
2017
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Document Files

ICASSP2017.pdf

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[1] Shuang Li, Dehui Yang, Michael Wakin, "Atomic Norm Minimization for Modal Analysis with Random Spatial Compression", IEEE SigPort, 2017. [Online]. Available: http://sigport.org/1750. Accessed: Jun. 23, 2017.
@article{1750-17,
url = {http://sigport.org/1750},
author = {Shuang Li; Dehui Yang; Michael Wakin },
publisher = {IEEE SigPort},
title = {Atomic Norm Minimization for Modal Analysis with Random Spatial Compression},
year = {2017} }
TY - EJOUR
T1 - Atomic Norm Minimization for Modal Analysis with Random Spatial Compression
AU - Shuang Li; Dehui Yang; Michael Wakin
PY - 2017
PB - IEEE SigPort
UR - http://sigport.org/1750
ER -
Shuang Li, Dehui Yang, Michael Wakin. (2017). Atomic Norm Minimization for Modal Analysis with Random Spatial Compression. IEEE SigPort. http://sigport.org/1750
Shuang Li, Dehui Yang, Michael Wakin, 2017. Atomic Norm Minimization for Modal Analysis with Random Spatial Compression. Available at: http://sigport.org/1750.
Shuang Li, Dehui Yang, Michael Wakin. (2017). "Atomic Norm Minimization for Modal Analysis with Random Spatial Compression." Web.
1. Shuang Li, Dehui Yang, Michael Wakin. Atomic Norm Minimization for Modal Analysis with Random Spatial Compression [Internet]. IEEE SigPort; 2017. Available from : http://sigport.org/1750