Null Broadening and Sidelobe Control Algorithm via Multi-Parametric Quadratic Programming for Robust Adaptive Beamforming
Keywords:
Covariance Matrix Taper (CMT), multi-parametric Quadratic Programming (mpQP), null broadening, robust adaptive beamforming and sidelobe controlAbstract
Adaptive beamforming algorithm can automatically optimize the array pattern by adjusting the elemental control weights until a prescribed objective function is satisfied. Unfortunately, it is possible that the mismatch occurs between adaptive weights and data, due to the perturbation of the interference location when the antenna platform vibrates or interference moves quickly. Besides, the traditional beamformers may have unacceptably high sidelobes when few samples are available. To solve these problems, an effective robust adaptive beamforming method is presented. In the proposed method, firstly, a tapered covariance matrix is constructed to broaden the width of nulls for interference signal sources. Secondly, multiple additional quadratic inequality constraints outside the mainlobe beampattern area are used to guarantee that the sidelobe level is strictly lower than the prescribed threshold value. Finally, the beamforming optimization problem is formulated as a multi-parametric quadratic programming problem, such that the optimal weight vector can be easily obtained by real-valued computation. Simulation results are shown to demonstrate the efficiency of the proposed approach.
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References
Y. Zhang, H. Zhao, J. P. Lie, et al, “Robust beamforming technique with sidelobe suppression using sparse constraint on beampattern,” Applied Computational Electromagnetics Society Journal, vol. 25, no. 11, pp. 947-955, 2010.
R. J. Mailloux, “Covariance matrix augmentation to produce adaptive array pattern troughs,” Electronic Letters, vol. 31, no. 10, pp. 771-772, 1995.
M. Zatman, “Production of adaptive array troughs by dispersion synthesis,” Electronic Letters, vol. 31, pp. 2141-2142, 1995.
J. R. Guerci, “Theory and application of covariance matrix tapers for robust adaptive beamforming,” IEEE Trans. Signal Processing, vol. 47, no. 4, pp. 977-985, 1999.
F. L. Liu, J. K. Wang, C. Y. Sun and R. Y. Du, “Robust MVDR beamformer for nulling level control via multi-parametric quadratic programming,” Progress In Electromagnetics Research C, vol. 20, pp. 239-254, 2011.
M. Wang and M. Fang, “A novel null broadening technique based on reduced-rank conjugate gradient algorithm,” Electronics Information Warfare Technology, vol. 26, no. 4, pp. 14-17, 2011.
F. L. Liu, R. Y. Du, J. K. Wang and B. Wang, “A robust adaptive control method for widening interference nulls,” IET International Radar Conference, Guilin, China, pp. 297-300, 2009.
F. L. Liu, C. Y. Sun and J. K. Wang, “Nulls control method based on semidefinite programming,” Journal of Northeastern University (Natural Science), vol. 32, no. 10, pp. 1386-1389, 2011.
Q. T. Le, N. D. Nguyen and T. T. Dam, “Amplitude and phase adaptive nulling with a genetic algorithm for array antennas,” International Conference on Artificial Intelligence, Management Science and Electronic Commerce, pp. 1887-90, 2011.
D. Mandal, N. T. Yallaparagada, S. P. Ghoshal and A. K. Bhattacharjee, “Wide null control of linear antenna arrays using particle swarm optimization,” 2010 Annual IEEE India Conference, pp. 1-4, 2010.
X. N. Zeng, Y. S. Zhang and H. B. Jin, “Application of wide nulling beamforming technology in anti-ARM battle,” Radar Science and Technology, vol. 7, no. 1, pp. 71-74, 2009.
M. R. R. Khan and V. Tuzlukov, “Null steering beamforming for wireless communication system using genetic algorithm,” IEEE International Conference on Microwave Technology and Computational Electromagnetics, pp. 289-292, 2011.
J. Liu, A. B. Gershman, Z. Q. Luo and K. M. Wong, “Adaptive beamforming with sidelobe control: a second-order cone programming approach,” IEEE Signal Processing Letters, vol. 10, no. 11, pp. 331-334, 2003.
Z. D. Zaharis, C. Skeberis and T. D Xenos, “Improved antenna array adaptive beamforming with low side lobe level using a novel adaptive invasive weed optimization method,” Progress In Electromagnetics Research, vol. 124, pp. 137-150, 2012.
D. P. Yang, H. Chen and K. P. Wang, “A simple algorithm of beamforming to achieve low sidelobe, audio engineering,” Audio Engineering, vol. 33, no. 1, pp. 44-47, 2009.
K. G. Song, Q. Gan and B. Tang, “A low sidelobe beamforming algorithm,” Signal Processing, vol. 25, no. 5, pp. 777-80, 2009.
P. Tondel, T. A. Johansen and A. Bemporad, “An algorithm for multi-parametric quadratic programming and explicit MPC solutions,” Automatica, vol. 39, no. 3, pp. 489-497, 2003.
A. Bemporad, M. Morari, V. Dua and E. E. Pistikopulos, “The explicit linear quadratic regular for constrained systems,” Automatica, vol. 38, no. 1, pp. 3-20, 2002.
