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Optimizing Compressive Sensing in the Internet of Things

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Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 143))

Abstract

In order to save cost of sensors in the process of transmitting information and gathering data, Compressive Sensing(CS), as a novel and effective signal transform technology, has been used gradually in the Internet of Things(IOT). This paper presents an optimizing method of CS in real applications of IOT. Compared to the traditional CS techniques that the sparsity of the signal need to be known, this algorithm can effective solve the actual issue that a lot of signals’ sparsities usually could not be known in advance. According to experiments in the cases of both random distribution and Gauss distribution of signals, our algorithm is proved to be effective. Especially, when the amount of the sampling is 30 (the dimension of the data is 256) and the sparsity is unknown, the relative error is only 1.5%.

This research is supported by the National Grand Fundamental Research 973 Program of China under Grant No. 2011CB302-905.

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References

  1. Candes, E.: The Restricted Isometry Property and its Implications for Compressed Sensing. In: Compte Rendus de l’Academie des Sciences, Paris. Series I, vol. 346, pp. 589–592 (2008)

    Google Scholar 

  2. Candes, E., Tao, T.: Near Optimal Signal Recovery from Random Projections:Universal Encoding Strategies? IEEE Trans. on Information Theory 52(12), 5406–5425 (2006)

    Article  MathSciNet  Google Scholar 

  3. Candés, E.J., Romberg, J., Tao, T.: Robust uncertainty principles: Exact signal re-construction from highly incomplete frequency information. Submitted to IEEE Trans. Inform. Theory (June 2004); Available on theArXiV preprint server:math.GM/0409186

    Google Scholar 

  4. Candés, E.J., Tao, T.: Decoding by linear programming. Submitted to IEEE Trans. Inform. Theory (December 2004)

    Google Scholar 

  5. Candés, E.J., Tao, T.: Near-optimal signal recovery from random projections and universal encoding strategies. Submitted to IEEE Trans. Inform. Theory (November 2004); Available on the ArXiV preprint server: math.CA/0410542

    Google Scholar 

  6. Chen, S.S., Donoho, D.L., Saunders, M.A.: Atomic decomposition by basis pursuit. SIAM J. Sci. Comput. 20, 33–61 (1999)

    Article  MathSciNet  MATH  Google Scholar 

  7. DeVore, R.A., Jawerth, B., Lucier, B.J.: Image compression through wavelet transform coding. IEEE Trans. Inform. Theory 38(2), 719–746 (1992)

    Article  MathSciNet  MATH  Google Scholar 

  8. Wei, D., Milenkovic, O.: Subspace Pursuit for Compressive Sensing Signal Reconstruction. IEEE Transactions on Information Theory 55(5), 2230–2249 (2009)

    Article  Google Scholar 

  9. Needell, D., Vershynin, R.: Uniform Uncertainty Principle and Signal Recovery via Regularized Orthogonal Matching Pursuit. Foundations of Computational Mathematics (9), 317–334 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  10. Strohmer, T., Hermann, M.: Compressed Sensing Radar. In: IEEE Proc. Int. Conf. Acoustic, Speech, and Signal Processing 2008, pp. 1509–1512 (2008)

    Google Scholar 

  11. Tadmor, E.: Numerical methods for nonlinear partial differential equations. In: Encyclopedia of Complexity and Systems Science. Springer, Heidelberg (2009)

    Google Scholar 

  12. Talagrand, M.: Selecting a proportion of characters. Israel J. Math. 108, 173–191 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  13. Tauböck, G., Hlawatsch, F., Rauhut, H.: Compressive Estimation of Doubly Selective Channels: Exploiting Channel Sparsity to Improve Spectral Efficiency in Multicarrier Transmissions (2009)

    Google Scholar 

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Correspondence to Guoyang Chen .

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Chen, G., Yang, H., Huang, L. (2012). Optimizing Compressive Sensing in the Internet of Things. In: Zhang, Y. (eds) Future Wireless Networks and Information Systems. Lecture Notes in Electrical Engineering, vol 143. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27323-0_32

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  • DOI: https://doi.org/10.1007/978-3-642-27323-0_32

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-27322-3

  • Online ISBN: 978-3-642-27323-0

  • eBook Packages: EngineeringEngineering (R0)

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