volume | PIER Journals

Abstract

Recent research demonstrates that sparse beam pattern constraint can suppress the sidelobe level of the linear constraint minimum variance beamformer. Here we improve the standard beam pattern by replacing it with a combination of a total difference minimization constraint on the mainlobe and a standard C₁ norm minimization constraint on the sidelobe. As the new constraint matches the practical beam pattern better, the sidelobe level is further suppressed, while the robustness against the mismatch between the steering angle and the direction of arrival (DOA) of the desired signal, is maintained.

1. Li, J. and P. Stoica, Robust Adaptive Beamforming, Wiley-Interscience, New York, 2006.

2. Li, J., P. Stoica, and Z. Wang, "Doubly constrained robust capon beamformer," IEEE Transactions on Signal Processing, Vol. 52, 2407-2423, 2004.
doi:10.1109/TSP.2004.831998

3. Zhang, L., W. Liu, and R. J. Langley, "A minimum variance beamformer with linear and quadratic constraints based on uniform linear antenna arrays," Antennas and Propagation Conference 2009 (LAPC 2009), 585-588, Loughborough, Nov. 16-17, 2009.

4. Savitha, R., S. Vigneswaran, S. Suresh, and N. Sundararajan, "Adaptive beamforming using complex-valued radial basis function neural networks," 2009 IEEE Region 10 Conference (TENCON 2009), 1-6, Singapore, Jan. 23-26, 2009.

5. Wax, M. and Y. Anu, "Performance analysis of the minimum variance beamformer," IEEE Transactions on Signal Processing, Vol. 44, No. 4, 938-947, Apr. 1996.
doi:10.1109/78.492546

6. 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

7. Liu, Y., Q. Wan, and X. Chu, "A robust beamformer based on weighted sparse constraint," Progress In Electromagnetics Research Letters, Vol. 16, 53-60, 2010.
doi:10.2528/PIERL10062308

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

9. 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

10. Grant, M., S. Boyd, and Y. Ye, "cvx user guide for cvx version 1.1,", http://www.stanford.edu/ boyd/index.html.

11. Sturm, J., "Using sedumi 1.02, a matlab toolbox for optimization over symmetric cones," Optimization Methods and Software, Vol. 11, No. 12, 625-653, 1999.
doi:10.1080/10556789908805766

12. Cox, H., "Resolving power and sensitivity to mismatch of optimum array processors," Journal of the Acoustic Society of America, Vol. 54, No. 3, 771-785, Sep. 973.
doi:10.1121/1.1913659

Dr. Yipeng Liu

Dr. Qun Wan