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Proceedings Article

Robust diagnostics for Bayesian compressive sensing with applications to structural health monitoring

[+] Author Affiliations
Yong Huang

Harbin Institute of Technology (China) and California Institute of Technology (USA)

James L. Beck, Stephen Wu

California Institute of Technology (USA)

Hui Li

Harbin Institute of Technology (China)

Proc. SPIE 7982, Smart Sensor Phenomena, Technology, Networks, and Systems 2011, 79820J (April 15, 2011); doi:10.1117/12.880687
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From Conference Volume 7982

  • Smart Sensor Phenomena, Technology, Networks, and Systems 2011
  • Wolfgang Ecke; Kara J. Peters; Theodore E. Matikas
  • San Diego, California, USA | March 06, 2011

abstract

In structural health monitoring (SHM) systems for civil structures, signal compression is often important to reduce the cost of data transfer and storage because of the large volumes of data generated from the monitoring system. Compressive sensing is a novel data compressing method whereby one does not measure the entire signal directly but rather a set of related ("projected") measurements. The length of the required compressive-sensing measurements is typically much smaller than the original signal, therefore increasing the efficiency of data transfer and storage. Recently, a Bayesian formalism has also been employed for optimal compressive sensing, which adopts the ideas in the relevance vector machine (RVM) as a decompression tool, such as the automatic relevance determination prior (ARD). Recently publications illustrate the benefits of using the Bayesian compressive sensing (BCS) method. However, none of these publications have investigated the robustness of the BCS method. We show that the usual RVM optimization algorithm lacks robustness when the number of measurements is a lot less than the length of the signals because it can produce sub-optimal signal representations; as a result, BCS is not robust when high compression efficiency is required. This induces a tradeoff between efficiently compressing data and accurately decompressing it. Based on a study of the robustness of the BCS method, diagnostic tools are proposed to investigate whether the compressed representation of the signal is optimal. With reliable diagnostics, the performance of the BCS method can be monitored effectively. The numerical results show that it is a powerful tool to examine the correctness of reconstruction results without knowing the original signal.

© (2011) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Citation

Yong Huang ; James L. Beck ; Hui Li and Stephen Wu
"Robust diagnostics for Bayesian compressive sensing with applications to structural health monitoring", Proc. SPIE 7982, Smart Sensor Phenomena, Technology, Networks, and Systems 2011, 79820J (April 15, 2011); doi:10.1117/12.880687; http://dx.doi.org/10.1117/12.880687


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