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Fast FOCUSS method based on bi-conjugate gradient and its application to space-time clutter spectrum estimation

Abstract

The focal underdetermined system solver (FOCUSS) is a powerful tool for sparse representation in complex underdetermined systems. This paper presents the fast FOCUSS method based on the bi-conjugate gradient (BICG), termed BICG-FOCUSS, to speed up the convergence rate of the original FOCUSS. BICGFOCUSS was specifically designed to reduce the computational complexity of FOCUSS by solving a complex linear equation using the BICG method according to the rank of the weight matrix in FOCUSS. Experimental results show that BICG-FOCUSS is more efficient in terms of computational time than FOCUSS without losing accuracy. Since FOCUSS is an efficient tool for estimating the space-time clutter spectrum in sparse recoverybased space-time adaptive processing (SR-STAP), we propose BICG-FOCUSS to achieve a fast estimation of the space-time clutter spectrum in mono-static array radar and in the mountaintop system. The high performance of the proposed BICG-FOCUSS in the application is demonstrated with both simulated and real data.

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Acknowledgements

This work was supported in part by National Natural Science Foundation of China (Grant Nos. 61421001, 61331021, 61671060).

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Correspondence to Ran Tao.

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Bai, G., Tao, R., Zhao, J. et al. Fast FOCUSS method based on bi-conjugate gradient and its application to space-time clutter spectrum estimation. Sci. China Inf. Sci. 60, 082302 (2017). https://doi.org/10.1007/s11432-015-1016-x

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Keywords

  • focal underdetermined system solver (FOCUSS)
  • sparse recovery (SR)
  • bi-conjugate gradient (BICG)
  • space-time adaptive processing (STAP)
  • space-time clutter spectrum