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A Novel Parameter Determination Method for Lq Regularization Based Sparse SAR Imaging

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Machine Learning and Intelligent Communications (MLICOM 2017)

Abstract

Sparse SAR imaging based on Lq(0 < q < 1) regularization has become a hot issue in SAR imaging. However, it can be difficult to determine a suitable value of the regularization parameter. In this paper, we developed a novel adaptive regularization parameter determination method for Lq regularization based SAR imaging. On the basis that the noise type in SAR system is mostly additive Gaussian white noise, we present a method for determining the regularization parameter through evaluating the statistics of noise. The parameter is updated through validating the statistical properties of the reconstruction error residuals in a suitable Noise Confidence Region (NCR). The experiment results illustrate the validity of the proposed method.

The authors would like to express thanks for the support of the Aeronautical Science Foundation (Grant No. 20151996016) and Coordinate Innovative Engineering Project of Shaanxi Province (Grant No. 2015KTTSGY0406).

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References

  1. Zeng, J., Fang, J., Xu, Z.: Sparse SAR imaging based on L1/2 regularization. Sci. China Inf. Sci. 55, 1755–1775 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  2. Logan, C.L.: An estimation-theoretic technique for motion-compensated synthetic-aperture array imaging. Ph.D. dissertation, Massachusetts Institute of Technology, Cambridge (2000)

    Google Scholar 

  3. Donoho, D.L.: Compressed sensing. IEEE Trans. Inf. Theory 30(4), 1289–1306 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  4. Candes, E., Romberg, J., Tao, T.: Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information. IEEE Trans. Inf. Theory 52, 489–509 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  5. Xu, Z.B., Zhang, H., Wang, Y., et al.: L1/2 regularizer. Sci. China Inf. Sci. 53, 1159–1169 (2010)

    Article  MathSciNet  Google Scholar 

  6. Hashemi, S., Beheshti, S., Cobbold, S.C., et al.: Adaptive updating of regularization parameters. Sig. Process 113, 228–233 (2015)

    Article  Google Scholar 

  7. Vainikko, G.M.: The discrepancy principle for a class of regularization methods. USSR Comput. Math. Math. Phys. 22(3), 1–19 (1982)

    Article  MATH  Google Scholar 

  8. Hansen, P.: Analysis of discrete ill-posed problems by means of the L-curve. SIAM Rev. 34(4), 561–580 (1992)

    Article  MathSciNet  MATH  Google Scholar 

  9. Samadi, S., Çetin, M., Masnadi-Shirazi, M.A.: Sparse representation based SAR imaging. IET Radar Sonar Navig. 5(2), 182–193 (2011)

    Article  Google Scholar 

  10. Beheshti, S., Hashemi, M., Zhang, X., Nikvand, N.: Noise invalidation denoising. IEEE Trans. Sig. Process. 58(12), 6007–6016 (2010)

    Article  MathSciNet  Google Scholar 

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Correspondence to Jia-cheng Ni .

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© 2018 ICST Institute for Computer Sciences, Social Informatics and Telecommunications Engineering

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Ni, Jc., Zhang, Q., Sun, L., Liang, Xj. (2018). A Novel Parameter Determination Method for Lq Regularization Based Sparse SAR Imaging. In: Gu, X., Liu, G., Li, B. (eds) Machine Learning and Intelligent Communications. MLICOM 2017. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 227. Springer, Cham. https://doi.org/10.1007/978-3-319-73447-7_18

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  • DOI: https://doi.org/10.1007/978-3-319-73447-7_18

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-73446-0

  • Online ISBN: 978-3-319-73447-7

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