2011-07-07
Robust Adaptive Beamforming Based on Covariance Matrix Reconstruction for Look Direction Mismatch
By
Progress In Electromagnetics Research Letters, Vol. 25, 37-46, 2011
Abstract
The performance degradation in traditional adaptive beamformers can be attributed to the imprecise knowledge of the array steering vector and inaccurate estimation of the covariance matrix. The inaccurate estimation of the covariance matrix is due to the limited data samples and presence of desired signal components in the training data. The mismatch between the actual and presumed steering vectors can be mainly due to the error in the look direction estimate. In this paper, we propose a novel algorithm to estimate the look direction and to reconstruct the covariance matrix so that near optimal performance without the effect of saturation can be achieved as the input SNR increases. Numerical results also show that all existing beamforming algorithms suffer from saturation effect as the input SNR increases.
Citation
Rammohan Mallipeddi, Joni Lie, Sirajudeen Gulam Razul, P. N. Suganthan, and Chong Meng S. See, "Robust Adaptive Beamforming Based on Covariance Matrix Reconstruction for Look Direction Mismatch," Progress In Electromagnetics Research Letters, Vol. 25, 37-46, 2011.
doi:10.2528/PIERL11040104
References

1. Takao, K., M. Fujita, and T. Nishi, "An adaptive antenna array under directional constraint," IEEE Trans. on Antenna and Propagation, Vol. 24, No. 5, 662-669, 1976.
doi:10.1109/TAP.1976.1141411        Google Scholar

2. Jablon, N., "Adaptive beamforming with the generalized sidelobe canceller in the presence of array imperfections," IEEE Trans. on Antenna and Propagation, Vol. 34, No. 8, 996-1012, 1986.
doi:10.1109/TAP.1986.1143936        Google Scholar

3. Zhang, S. and I. L. J. Thng, "Robust presteering derivative constraints for broadband antenna arrays," IEEE Transactions on Signal Processing, Vol. 50, No. 1, 1-10, 2002.
doi:10.1109/78.972477        Google Scholar

4. Feldman, , D. and L. Griffiths, "A projection approach for robust adaptive beamforming," IEEE Transactions on Signal Processing, Vol. 42, No. 4, 867-876, 1994.
doi:10.1109/78.285650        Google Scholar

5. Li, , J., P. Stoica, and Z. Wang, "On robust Capon beamforming and diagonal loading," IEEE Transactions on Signal Processing, Vol. 51, No. 7, 1702-1715, 2003.
doi:10.1109/TSP.2003.812831        Google Scholar

6. Vorobyov, S. A., A. B. Gersham, and Z. Q. Luo, "Robust adaptive beamforming using worst-case performance optimization: A solution to the signal mismatch problem," IEEE Transactions on Signal Processing, Vol. 51, No. 2, 313-324, 2003.
doi:10.1109/TSP.2002.806865        Google Scholar

7. Lorenz, , R. G. and S. P. Boyd, "Robust minimum variance beamforming," IEEE Transactions on Signal Processing, Vol. 53, No. 5, 1684-1696, 2005.
doi:10.1109/TSP.2005.845436        Google Scholar

8. Mestre, X. and M. A. Lagunas, "Finite sample size effect on minimum variance beamformers: Optimum diagonal loading factor for large arrays," IEEE Transactions on Signal Processing, Vol. 54, No. 1, 69-82, 2006.
doi:10.1109/TSP.2005.861052        Google Scholar

9. Stoica, P., H. Xiong, L. Xu, and J. Li, "Adaptive beamforming for quadrupole resonance," Digital Signal Proc., Vol. 17, No. 3, 634-651, 2007.
doi:10.1016/j.dsp.2005.11.007        Google Scholar

10. Mutapcic, , A., S. J. Kim, and S. Boyd, "Beamforming with uncertain weights," IEEE Signal Processing Letters, Vol. 14, No. 5, 348-351, 2007.
doi:10.1109/LSP.2006.888102        Google Scholar

11. Kim, S. J., A. Magnani, A. Mutapcic, S. Boyd, and Z. Q. Luo, "Robust beamforming via worst-case SINR maximization," IEEE Transactions on Signal Processing, Vol. 56, No. 4, 1539-1547, 2008.
doi:10.1109/TSP.2007.911498        Google Scholar

12. Hassanien, A., S. A. Vorobyov, and K. M. Wong, "Robust adaptive beamforming using sequential quadratic programming: An iterative solution to the mismatch problem," IEEE Signal Processing Letters, Vol. 15, 733-736, 2008.
doi:10.1109/LSP.2008.2001115        Google Scholar

13. Gu, Y. J., W. P. Zhu, and M. N. S. Swamy, "Robust adaptive beamforming using sequential quadratic programming: An iterative solution to the mismatch problem," Electronics Letters, Vol. 46, No. 1, 86-88, 2010.
doi:10.1049/el.2010.2498        Google Scholar

14. Won, S. Y. and K. U. Chong, "Robust adaptive beamforming based on the eigenstructure method," IEEE Transactions on Signal Processing, Vol. 42, No. 6, 1543-1547, Jun. 1994.
doi:10.1109/78.286971        Google Scholar

15. Lie, J. P., W. Ser, and C. M. See, "Adaptive uncertainty based iterative robust capon beamformer using steering vector mismatch estimation," IEEE Transactions on Signal Processing, Vol. 59, No. 10, Oct. 2011, DOI: 10.1109/TSP.2011.2157500.        Google Scholar