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Study on Electromagnetic Scattering Characteristics of Bodies of Revolution by Compressive Sensing

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Industrial IoT Technologies and Applications (Industrial IoT 2017)

Abstract

Based on discrete wavelet transform (DWT), the discrete wavelet transform (DWT) is pre-processed on the basis of the Bodies of revolution-Method of Moments, and the underdetermined equation is constructed and solved by using the compressive perceptual method. In this method, non-zero lines are extracted from the sparse excitations of the wavelet coefficients, and a small-scale impedance matrix is formed to extract the impedance matrices, which reduce the memory consumption and improve the computational efficiency. This method of adding compression perception can systematically construct the corresponding underdetermined equations to ensure fast acquisition of the signal reconstruction solution.

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References

  1. Gibson, W.C.: The Method of Moments in Electromagnetics, pp. 1–62. Chapman and Hall, USA (2007)

    Google Scholar 

  2. Wu, T.K.: Accurate PMCHWT solutions for scattering from arbitrarily-shaped penetrable bodies of revolution [Open Problems in CEM]. IEEE Antennas Propag. Mag. 56(5), 315–320 (2014)

    Article  Google Scholar 

  3. Mautz, J.R., Harrington, R.F.: Radiation and scattering from bodies of revolution. Appl. Sci. Res. 20, 405–435 (1969)

    Article  Google Scholar 

  4. Wu, T.K., Tsu, L.L.: Scattering from arbitrarily-shaped dielectric bodies of revolution. Radio Sci. 12, 709–718 (1977)

    Article  Google Scholar 

  5. Meincke, P., Jorgensen, E.: Efficient body of revolution method of moments for rotationally symmetric antenna systems with offset illumination. In: AP-S International Symposium (Digest) (IEEE Antennas and Propagation Society), pp. 1467–1468 (2014)

    Google Scholar 

  6. Wagner, R.L., Chew, W.C.: Study of wavelets for the solution of electromagnetic integral equations. IEEE Trans. Antennas Propag. 43(8), 802–810 (1995)

    Article  Google Scholar 

  7. Baharav, Z., Leviatan, Y.: Impedance matrix compression (IMC) using iteratively selected wavelet basis for MFIE formulations. Microw. Opt. Technol. Lett. 12(3), 145–150 (1996)

    Article  MATH  Google Scholar 

  8. Baharav, Z., Leviatan, Y.: Impedance matrix compression (IMC) using iteratively selected wavelet basis. IEEE Trans. Antennas Propag. 46(2), 226–233 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  9. Sokolik, D., Shifman, Y., Leviatan, Y.: Improved impedance matrix compression (IMC) technique for efficient wavelet-based method of moments solution of scattering problems. Microw. Opt. Technol. Lett. 40(4), 275–280 (2004)

    Article  Google Scholar 

  10. Peyre, G.: Best basis compressed sensing. IEEE Trans. Signal Process. 58(5), 2613–2622 (2010)

    Article  MathSciNet  Google Scholar 

  11. Tsaig, Y., Donoho, D.L.: Extensions of compressed sensing. Signal Process. 86(3), 549–571 (2006)

    Article  MATH  Google Scholar 

  12. Duarte, M.F., Eldar, Y.C.: Structured compressed sensing: From theory to applications. IEEE Trans. Signal Process. 59(9), 4053–4085 (2011)

    Article  MathSciNet  Google Scholar 

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Acknowledgement

We thank National Natural Science Foundation of China under Grant No. 61302179, for support of this research.

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Correspondence to Jie Fang .

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© 2017 ICST Institute for Computer Sciences, Social Informatics and Telecommunications Engineering

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Zhu, Y., Fang, J., Shi, Y. (2017). Study on Electromagnetic Scattering Characteristics of Bodies of Revolution by Compressive Sensing. In: Chen, F., Luo, Y. (eds) Industrial IoT Technologies and Applications. Industrial IoT 2017. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 202. Springer, Cham. https://doi.org/10.1007/978-3-319-60753-5_18

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  • DOI: https://doi.org/10.1007/978-3-319-60753-5_18

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-60752-8

  • Online ISBN: 978-3-319-60753-5

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