volume | PIER Journals

Abstract

A robust direct data domain least squares (D3LS) beamforming algorithm that is capable of reducing the sidelobe level of the beam pattern is presented. By exploiting the sparsity of the desired beam pattern, the proposed method can enhance the performance with its lower sidelobe level and deeper null for interference while the robustness against steering vector mismatch is increased when a proper regularization parameter is selected. Simulation results demonstrate the effectiveness of the proposed method.

1. Sarkar, T. K., M. Wicks, M. Salazar-Palma, and R. Bonneau, Smart Antennas, Wiley, New York, 2003.
doi:10.1002/0471722839

2. Burintramart, S., T. K. Sarkar, Y. Zhang, and M. C. Wicks, "Performance comparison between statistical-based and direct data domain STAPs," IEEE Antennas and Propagation Society International Symposium, 1421-1424, Jul. 2006. Google Scholar

3. Sarkar, T. K. and J. Koh, "A pragmatic approach to adaptive antennas," IEEE Antennas and Propagation Magazine, Vol. 42, No. 2, 39-55, Apr. 2000.
doi:10.1109/74.842124 Google Scholar

4. Sarkar, T. K., H. Schwarzlander, S. Choi, M. S. Palma, and M. C. Wicks, "Stochastic versus deterministic models in the analysis of communication systems," IEEE Antennas and Propagation Magazine, Vol. 44, No. 4, 40-50, Aug. 2002.
doi:10.1109/MAP.2002.1043146 Google Scholar

5. Capon, J., "High-resolution frequency-wavenumber spectrum analysis," Proceedings of the IEEE, Vol. 57, No. 8, 1408-1418, Aug. 1969.
doi:10.1109/PROC.1969.7278 Google Scholar

6. Sarkar, T. K. and N. Sangruji, "An adaptive nulling system for a narrow-band signal with a look-direction constraint utilizing the conjugate gradient method," IEEE Trans. Antennas and Propagation, Vol. 37, No. 7, 940-944, Jul. 1989.
doi:10.1109/8.29389 Google Scholar

7. Sarkar, T. K., S. Park, J. Koh, and R. A. Schneible, "A deterministic least squares approach to adaptive antennas," Digital Signal Processing, Vol. 6, No. 3, 185-194, Jul. 1996.
doi:10.1006/dspr.1996.0020 Google Scholar

8. Adve, R. S. and T. K. Sarkar, "Compensation for the effects of mutual coupling on direct data domain adaptive algorithms," IEEE Trans. Antennas and Propagation, Vol. 48, No. 1, 86-94, Jan. 2000.
doi:10.1109/8.827389 Google Scholar

9. Sarkar, T. K., H. Wang, S. Park, R. Adve, J. Koh, K. Kim, Y. Zhang, M. C. Wicks, and R. D. Brown, "A deterministic least-squares approach to space-time adaptive processing (STAP)," IEEE Trans. Antennas and Propagation, Vol. 49, No. 1, 91-103, Jan. 2001.
doi:10.1109/8.910535 Google Scholar

10. Madurasinghe, D. and P. E. Berry, "Pre-Doppler direct data domain approach to STAP," Signal Processing, Vol. 85, No. 10, 1907-1920, Oct. 2005.
doi:10.1016/j.sigpro.2005.01.014 Google Scholar

11. Choi, W.-S. and T. K. Sarkar, "Phase-only adaptive processing based on a direct data domain least squares approach using the conjugate method," IEEE Trans. Antennas and Propagation, Vol. 52, No. 12, 3265-3272, Dec. 2004.
doi:10.1109/TAP.2004.836410 Google Scholar

12. Choi, W., T. K. Sarkar, H. Wang, and E. L. Mokole, "Adaptive processing using real weights based on a direct data domain least squares approach," IEEE Trans. Antennas and Propagation, Vol. 54, No. 1, 182-190, Jan. 2006.
doi:10.1109/TAP.2005.859753 Google Scholar

13. Yilmaz, M., N. Yilmazer, S. Bhumkar, and H. Liu, "A two-step optimization of the centro-hermitian form in direct data domain least squares approach," 2010 IEEE International Conference on SMC, 3801-3806, Oct. 2010, ISSN.1062-922X. Google Scholar

14. Choi, W. and T. K. Sarkar, "Minimum norm property for the sum of the adaptive weights for a direct data domain least squares algorithm," IEEE Trans. Antennas and Propagation, Vol. 54, No. 3, 1045-1050, Mar. 2006.
doi:10.1109/TAP.2005.863150 Google Scholar

15. Cristallini, D. and W. Burger, "A robust direct data domain approach for STAP," IEEE Trans. Signal Processing, Vol. 60, No. 3, 1283-1294, Mar. 2012.
doi:10.1109/TSP.2011.2176335 Google Scholar

16. Madurasinghe, D., "Data domain beamforming with flexible adaptation," Electronics Letters, Vol. 40, No. 11, 697-698, May 2004.
doi:10.1049/el:20040457 Google Scholar

17. Madurasinghe, D., "Adaptive multiple snapshot beamforming for the rejection of nonstationary and coherent interferers," Signal Processing and Its Applications, Vol. 2, 634-637, Aug. 1996. Google Scholar

18. Dai, L., R. Li, and Y. Wang, "A modified direct data domain least squares approach using a single snapshot," Image and Signal Frocessing, Vol. 1, 37-40, May 2008. Google Scholar

19. Sun, K., H. Meng, Y. Wang, and X. Wang, "Direct data domain STAP using sparse representation of clutter spectrum," Signal Processing, Vol. 91, No. 9, 2222-2236, Sep. 2011.
doi:10.1016/j.sigpro.2011.04.006 Google Scholar

20. Gao, X. and M. Zhi, "An integrated direct data domain beamforming algorithm," Image and Signal Processing, Vol. 7, 3304-3307, Oct. 2010. Google Scholar

21. Grant, M., S. Boyd, and Y. Ye, "CVX users' guide for CVX version 2.0,", [online] accessible at: http://cvxr.com/cvx/doc/. Google Scholar

22. Zhang, Y., B. P. Ng, and Q. Wan, "Sidelobe suppression for adaptive beamforming with sparse constraint on beam pattern," Electronics Letters, Vol. 44, No. 10, 615-616, May 2008.
doi:10.1049/el:20080415 Google Scholar

23. Li, J., H. Xu, H. Xia, F. Liu, and B. Li, "Least squares constant modulus blind adaptive beamforming with sparse constraint," IEICE Transactions on Communications, Vol. E95-B, No. 1, 313-316, Nov. 2012.
doi:10.1587/transcom.E95.B.313 Google Scholar

24. Li, J., H. B. Xu, F. Liu, and Q. B. Zhao, "Robust least squares constant modulus beamforming with sparse constraint," Journal of Electromagnetic Waves and Applications, Vol. 26, No. 4, 459-467, 2012.
doi:10.1163/156939312800030677 Google Scholar

25. Liu, Y. and Q. Wan, "Total difference based partial sparse LCMV beamforming," Progress In Electromagnetics Research Letters, Vol. 18, 97-103, 2010.
doi:10.2528/PIERL10092705 Google Scholar

26. Liu, Y. and Q. Wan, "A robust beamforming based on weighted sparse constraint," Progress In Electromagnetics Research Letters, Vol. 16, 53-66, 2010.
doi:10.2528/PIERL10062308 Google Scholar

27. Rao, B. D., K. Engan, S. F. Cotter, J. Palmer, and K. Kreutz-Delgado, "Subset selection in noise based on diversity measure minimization," IEEE Transactions on Signal Processing, Vol. 51, No. 3, 760-770, Mar. 2003.
doi:10.1109/TSP.2002.808076 Google Scholar

28. Gorodnitsky, I. F. and B. D. Rao, "Sparse signal reconstruction from limited data using FOCUSS: A re-weighted minimum norm algorithm," IEEE Transactions on Signal Processing, Vol. 45, No. 3, 600-616, Mar. 1997.
doi:10.1109/78.558475 Google Scholar

29. Sturma, J. F., "Using SeDuMi 1.02, a matlab toolbox for optimization over symmetric cones," Optimization Methods and Software, Vol. 11, No. 1-4, 625-653, 1999.
doi:10.1080/10556789908805766 Google Scholar

Dr. Ping Zhang

Mr. Jun Li

Dr. Ai Zhi Zhou

Dr. Hong Bo Xu

Dr. Jian Bi