Skip to main content
Log in

A Data Loss Recovery Technique using Compressive Sensing for Structural Health Monitoring Applications

  • Structural Engineering
  • Published:
KSCE Journal of Civil Engineering Aims and scope

Abstract

Recent developments in Wireless Sensor Networks (WSN) benefited various fields, among them Structural Health Monitoring (SHM) is an important application of WSNs. Using WSNs provides multiple advantages such as continuous monitoring of structure, lesser installation costs, fewer human inspections. However, because of the wireless medium, hardware faults, etc., data loss is an unavoidable consequence of WSNs. Recently, a new class of data loss recovery technique using Compressive Sensing (CS) is getting attention from the research community. In these methods, the transmitter sends encoded acceleration data and receiver uses a CS recovery method to recover the original signal. Usually, the encoding process uses a random measurement matrix which makes the process computationally complex to implement on sensor nodes. This paper presents a technique where the signal is encoded using Scrambled Identity Matrix. Using this method reduces the computational complexity and also robust to data loss. A performance analysis of the proposed technique is presented for random and continuous data loss. A comparison with the existing data loss recovery techniques is also shown using simulated data loss (both random and continuous data loss). It is observed that the proposed technique using Scrambled Identity Matrix can reconstruct the signals even after significant loss of data.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Baheti, P. K. and Garudadri, H. (2010). Packet loss mitigation in transmission of biomedical signals for healthcare and fitness applications, Pub, No. WO/2010/120513. WIPO.patentscope, Switzerland.

    Google Scholar 

  • Bao, Y., Beck, J. L., and Li, H. (2011). “Compressive sampling for accelerometer signals in structural health monitoring.” Structural Health Monitoring, Vol. 10, No. 3, 235–246, DOI: 10.1177/1475921710373287.

    Article  Google Scholar 

  • Bao, Y., Li, H., Sun, X., Yu, Y., and Ou, J. (2013). “Compressive sampling-based data loss recovery for wireless sensor networks used in civil structural health monitoring.” Structural Health Monitoring, Vol. 12, No. 1, 78–95, DOI: 10.1177/1475921712462936.

    Article  Google Scholar 

  • Bao, Y., Yu, Y., Li, H., Mao, X., Jiao, W., Zou, Z., and Ou, J. (2015). “Compressive sensing-based lost data recovery of fast-moving wireless sensing for structural health monitoring.” Structural Control and Health Monitoring, Vol. 22, No. 3, 433–448, DOI: 10.1002/stc.1681.

    Article  Google Scholar 

  • Baraniuk, R., Davenport, M. A., Duarte, M. F., Hegde, C., and others. (2011). An introduction to compressive sensing, Open Stax-CNX, Online, https://doi.org/legacy.cnx.org/content/col11133/1.5/.

    Google Scholar 

  • Boufounos, P., Duarte, M. F., and Baraniuk, R. G. (2007). “Sparse signal reconstruction from noisy compressive measurements using cross validation.” 14th Workshop on Statistical Signal Processing, IEEE, Madison, WI, USA, pp. 299–303.

    Google Scholar 

  • Candès, E. J. (2006). “Compressive sampling.” In Proceedings of the International Congress of Mathematicians, Madrid, Spain, Vol. 3, 1433–1452.

    MathSciNet  MATH  Google Scholar 

  • Candès, E. J. and Wakin, M. B. (2008). “An introduction to compressive sampling.” IEEE Signal Processing Magazine, Vol. 25, No. 2, 21–30, DOI: 10.1109/MSP.2007.914731.

    Article  Google Scholar 

  • Charbiwala, Z., Chakraborty, S., Zahedi, S., He, T., Bisdikian, C., Kim, Y., and Srivastava, M. B. (2010). “Compressive oversampling for robust data transmission in sensor networks.” Proceedings Infocom, IEEE, San Diego, CA, USA, pp. 1–9.

    Google Scholar 

  • Chen, Z., Zhou, X., Wang, X., Dong, L., and Qian, Y. (2017). “Deployment of a smart structural health monitoring system for long-span arch bridges: A review and a case study.” Sensors, Vol. 17, No. 9, DOI: 10.3390/s17092151.

    Google Scholar 

  • Comerford, L., Kougioumtzoglou, I. A., and Beer, M. (2016). “Compressive sensing based stochastic process power spectrum estimation subject to missing data.” Probabilistic Engineering Mechanics, Vol. 44, 66–76, DOI: 10.1016/j.probengmech.2015.09.015.

    Article  Google Scholar 

  • Garudadri, H., Chi, Y., Baker, S., Majumdar, S., Baheti, P. K., and Ballard, D. (2011). “Diagnostic grade wireless ECG monitoring.” 2011 Annual International Conference of the IEEE Engineering in Medicine and Biology Society, IEEE, Boston, MA, USA, pp. 850–855.

    Chapter  Google Scholar 

  • Hayinga, P. J. M. (1999). “Energy efficiency of error correction on wireless systems.” IEEE Wireless Communications and Networking Conference, IEEE, New Orleans, LA, USA, Vol. 2, 616–620.

    Google Scholar 

  • Huang, Y., Beck, J. L., Wu, S., and Li, H. (2015). “Robust Bayesian compressive sensing with data loss recovery for structural health monitoring signals.” Cornell University Library, arXiv Preprint arXiv:1503.08272.

    Google Scholar 

  • Hurley, N. and Rickard, S. (2009). “Comparing measures of sparsity.” IEEE Transactions on Information Theory, Vol. 55, No. 10, 4723–4741, DOI: 10.1109/TIT.2009.2027527.

    Article  MathSciNet  MATH  Google Scholar 

  • Ji, S., Sun, Y., and Shen, J. (2014). “A method of data recovery based on compressive sensing in wireless structural health monitoring.” Mathematical Problems in Engineering, Vol. 2014, Article ID546478, p. 9, DOI: 10.1155/2014/546478.

    Google Scholar 

  • Klis, R., & Chatzi, E. N. (2017). “Vibration monitoring via spectrotemporal compressive sensing for wireless sensor networks.” Structure and Infrastructure Engineering, Vol. 13, No. 1, 195–209, DOI: 10.1080/15732479.2016.1198395.

    Article  Google Scholar 

  • Laska, J. N., Boufounos, P. T., Davenport, M. A., and Baraniuk, R. G. (2011). “Democracy in action: Quantization, saturation, and compressive sensing.” Applied and Computational Harmonic Analysis, Vol. 31, No. 3, 429–443, DOI: 10.1016/j.acha.2011.02.002.

    Article  MathSciNet  MATH  Google Scholar 

  • Li, S., Li, H., Liu, Y., Lan, C., Zhou, W., and Ou, J. (2014). “SMC structural health monitoring benchmark problem using monitored data from an actual cable-stayed bridge.” Structural Control and Health Monitoring, Vol. 21, No. 2, 156–172, DOI: 10.1002/stc.1559.

    Article  Google Scholar 

  • Lynch, J. P. and Loh, K. J. (2006). “A summary review of wireless sensors and sensor networks for structural health monitoring.” Shock and Vibration Digest, Vol. 38, No. 2, 91–130, DOI: 10.1177/ 0583102406061499.

    Article  Google Scholar 

  • Ma, H., Xiong, J., Xu, Y., and Liang, D. (2009). “Packet loss concealment for speech transmission based on compressed sensing.” IET International Communication Conference on Wireless Mobile and Computing, IET, Shanghai, China, pp. 327–330.

    Google Scholar 

  • Nagarajaiah, S. and Basu, B. (2009). “Output only modal identification and structural damage detection using time frequency & wavelet techniques.” Earthquake Engineering and Engineering Vibration, Vol. 8, No. 4, 583–605, DOI:10.1007/s11803-009-9120-6.

    Article  Google Scholar 

  • Nagayama, T., Sim, S.-H., Miyamori, Y., and Spencer Jr, B. F. (2007). “Issues in structural health monitoring employing smart sensors.” Smart Structures and Systems, Vol. 3, No. 3, 299–320, DOI: 10.12989/sss.2007.3.3.299.

    Article  Google Scholar 

  • Ni, K., Ramanathan, N., Chehade, M. N. H., Balzano, L., Nair, S., Zahedi, S., and Srivastava, M. (2009). “Sensor network data fault types.” ACM Transactions on Sensor Networks (TOSN), Vol. 5, No. 3, p. 29, DOI: 10.1145/1525856.1525863.

    Article  Google Scholar 

  • O’Connor, S. M., Lynch, J. P., and Gilbert, A. C. (2014). “Compressed sensing embedded in an operational wireless sensor network to achieve energy efficiency in long-term monitoring applications.” Smart Materials and Structures, Vol. 23, No. 8, 85014, DOI: 10.1088/0964-1726/23/8/085014.

    Article  Google Scholar 

  • Pudlewski, S., Prasanna, A., and Melodia, T. (2010). “Resilient image sensor networks in lossy channels using compressed sensing.” 8th IEEE International Conference on Pervasive Computing and Communications Workshops (PERCOM Workshops), IEEE, Mannheim, Germany, pp. 62–67.

    Google Scholar 

  • Rice, J. A. and Spencer, B. F. (2008). “Structural health monitoring sensor development for the Imote2 platform.” Proc. SPIE 6932, Sensors and Smart Structures Technologies for Civil, Mechanical, and Aerospace Systems 2008, SPIE, San Diego, California, United States.

    Google Scholar 

  • Rish, I. and Grabarnik, G. (2014). “Sparse signal recovery with exponentialfamily noise.” Compressed Sensing & Sparse Filtering, Springer, pp. 77–93.

    Chapter  Google Scholar 

  • Showail, A., Jamshaid, K., and Shihada, B. (2016). “Buffer sizing in wireless networks: challenges, solutions, and opportunities.” IEEE Communications Magazine, Vol. 54, No. 4, 130–137, DOI: 10.1109/MCOM.2016.7452277.

    Article  Google Scholar 

  • Thadikemalla, V. S. G. and Gandhi, A. S. (2017). “A simple and efficient data loss recovery technique for SHM applications.” Smart Structures and Systems, Vol. 20, No. 1, 35–42, DOI: 10.12989/sss.2017.20.1.035.

    Google Scholar 

  • Van den Berg, E. and Friedlander, M. P. (2007). SPGL1: A solver for large-scale sparse reconstruction, Scientific Computing Laborlatory, UBC Hompage, Online, https://doi.org/www.cs.ubc.ca/labs/scl/index.php/Main/Software.

    Google Scholar 

  • Verdin, B. and Debroux, P. (2016). “2D and 3D far-field radiation patterns reconstruction based on compressive sensing.” Progress In Electromagnetics Research, Vol. 46, 47–56, DOI: 10.2528/PIERM15110306.

    Article  Google Scholar 

  • Wang, Y. and Hao, H. (2013). “Damage identification scheme based on compressive sensing.” Journal of Computing in Civil Engineering, Vol. 29, No. 2, DOI: 10.1061/(ASCE)CP.1943-5487.0000324.

    Google Scholar 

  • Wu, L., Yu, K., Cao, D., Hu, Y., and Wang, Z. (2015). “Efficient sparse signal transmission over a lossy link using compressive sensing.” Sensors, Vol. 15, No. 8, 19880–19911, DOI: 10.3390/s150819880.

    Article  Google Scholar 

  • Yang, Y. and Nagarajaiah, S. (2015). “Output-only modal identification by compressed sensing: Non-uniform low-rate random sampling.” Mechanical Systems and Signal Processing, Vol. 56, 15–34. DOI: 10.1016/j.ymssp.2014.10.015.

    Article  Google Scholar 

  • Yang, Y. and Nagarajaiah, S. (2016). “Harnessing data structure for recovery of randomly missing structural vibration responses time history: Sparse representation versus low-rank structure.” Mechanical Systems and Signal Processing, Vol. 74, 165–182, DOI: 10.1016/j.ymssp.2015.11.009.

    Article  Google Scholar 

  • Yu, W., Chen, C., He, T., Yang, B., and Guan, X. (2016). “Adaptive compressive engine for real-time electrocardiogram monitoring under unreliable wireless channels.” IET Communications, Vol. 10, No. 6, 607–615, DOI: 10.1049/iet-com.2015.0882.

    Article  Google Scholar 

  • Yu, Y., Han, F., Bao, Y., and Ou, J. (2016). “A study on data loss compensation of WiFi-based wireless sensor networks for structural health monitoring.” IEEE Sensors Journal, Vol. 16, No. 10, 3811–3818, DOI: 10.1109/JSEN.2015.2512846.

    Article  Google Scholar 

  • Zhang, Y. (2006). When is missing data recoverable, Rice University CAAM Technical Report TR06-15, Houston, USA.

    Google Scholar 

  • Zou, Z., Bao, Y., Li, H., Spencer, B. F., and Ou, J. (2015). “Embedding compressive sensing-based data loss recovery algorithm into wireless smart sensors for structural health monitoring.” IEEE Sensors Journal, Vol. 15, No. 2, 797–808, DOI: 10.1109/JSEN.2014. 2353032.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Venkata Sainath Gupta Thadikemalla.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Thadikemalla, V.S.G., Gandhi, A.S. A Data Loss Recovery Technique using Compressive Sensing for Structural Health Monitoring Applications. KSCE J Civ Eng 22, 5084–5093 (2018). https://doi.org/10.1007/s12205-017-2070-z

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12205-017-2070-z

Keywords

Navigation