迭代优化最小化唯相位波束形成

吴凯; 苏涛; 李强

doi:10.11999/JEIT160472

迭代优化最小化唯相位波束形成

doi: 10.11999/JEIT160472

吴凯¹,
苏涛¹,
李强¹

基金项目:

国家自然科学基金(51405364, 51305323)

计量
- 文章访问数: 1388
- HTML全文浏览量: 125
- PDF下载量: 388
- 被引次数: 0
出版历程
- 收稿日期: 2016-05-10
- 修回日期: 2016-09-12
- 刊出日期: 2017-03-19

Phase-only Beamforming via Iterative Majorization Minimization

Funds:

The National Natural Science Foundation of China (51405364, 51305323)

摘要

摘要: 为了增强唯相位波束形成(Phase-Only Beamforming, POB)的干扰和噪声抑制性能，提高非凸POB权值求解的实时性，该文设计了迭代优化最小化(Iterative Majorization Minimization, IMM)唯相位最小方差无失真响应波束形成器(Minimum Variance Distortion-less Response Beamformer, MVDRB)。将无失真响应约束转化成最大化期望方向阵列响应，推导了二次型目标函数的上界，得到IMM-POB优化模型，并进一步推导出每次迭代的闭式最优解。仿真分析表明所设计的IMM-POB：在相同输入信噪比下，可获得高于现有迭代算法和最优MVDRB的信干噪比改善；干扰抑制性能几乎完全逼近最优MVDRB，且具有更优的噪声抑制性；受快拍数影响较小；闭式最优权仅包含单次矩阵和向量乘法，使算法具有较强的实时性，可应用于大规模阵列。
- 大规模阵列 /
- 波束形成 /
- 唯相位 /
- 最小方差无失真响应 /
- 优化最小化
Abstract: To improve the interference and noise suppression ability of Phase-Only Beamforming (POB) and the real-time performance to obtain the optimal weight of the uon-convex POB, a phase-only Minimum Variance Distortion-less Response Beamformer (MVDRB) via the Iterative Majorization Minimization (IMM) algorithm is designed. The distortion-less response constraint is transformed into maximizing array response in the desired direction. The upper bound function of the objective function in quadratic form is derived which generates the IMM-POB model. The optimal weight in closed-form for each iteration is further deduced. Simulation analysis illustrates that the proposed IMM-POB can obtain better signal to interference and noise ratio improvement compared with the existing iterative POB algorithms and the optimal MVDRB; its interference suppression ability approximates the optimal MVDRB with better noise suppression ability; it is much less sensitive to the number of array taps compared with the optimal MVDRB; it has strong real-time performance and can be applied to large-scale array.
- Large-scale array /
- Beamforming /
- Phase-only /
- Minimum variance distortion-less response /
- Majorization minimization

HTML全文

参考文献(25)

WU Kai and SU Tao. Design of generalised sidelobe canceller-based adaptive wideband beamformer without pre-steering delays[J]. Electronics Letters, 2016, 52(3): 177-179. doi: 10.1049/el.2015.3488.

吴凯, 苏涛, 靳标, 等. 具有固定反馈权的自适应宽带波束形成器设计[J]. 吉林大学学报(工学版), 2016, 46(1): 303-310. doi: 10.13229/j.cnki.jdxbgxb201601046.

WU Kai, SU Tao, JIN Biao, et al. Design of adaptive broadband beamformer with fixed feedback weights[J]. Journal of Jilin University (Engineering and Technology Edition), 2016, 46(1): 303-310. doi: 10.13229/j.cnki. jdxbgxb201601046.

FUCHS Benjamin. Application of convex relaxation to array synthesis problems[J]. IEEE Transactions on Antennas and Propagation, 2013, 62(2): 634-640. doi: 10.1109/TAP. 2013.2290797.

王学斌, 李会勇, 何子述. 一种基于遗传算法的唯相位宽带零陷波束赋形方法[J]. 中国电子科学研究院学报, 2011, 6(6): 634-638.

WANG Xuebin, LI Huiyong, and HE Zishu. Wide null steering based on genetic algorithm by controlling only the current phase[J]. Journal of China Academy of Electronics and Information Technology, 2011, 6(6): 634-638.

路成军, 盛卫星, 韩玉兵, 等. 基于迭代二阶锥的唯相位波束形成[J]. 电子与信息学报, 2014, 36(2): 266-270. doi: 10.3724/SP.J.1146.2013.00593.

LU Chengjun, SHENG Weixing, HAN Yubing, et al. Phase-only beamforming based on iterative second-order cone[J]. Journal of Electronics Information Technology, 2014, 36 (2): 266-270. doi: 10.3724/SP.J.1146.2013.00593.

KAJENSKI P J. Phase only antenna pattern notching via semidefinite programming relaxation[J]. IEEE Transactions on Antennas and Propagation, 2012, 60(5): 2562-2565. doi: 10.1109/TAP.2012.2189709.

SCHOLNIK D P. A parameterized pattern-error objective for large-scale phase-only array pattern design[J]. IEEE Transactions on Antennas and Propagation, 2016, 64(1): 89-98. doi: 10.1109/TAP.2015.2500239.

NAYERI P, YANG F, and ELSHERBENI A. Design of single-feed reflect array antennas with asymmetric multiple beams using the particle swarm optimization method[J]. IEEE Transactions on Antennas and Propagation, 2013, 61(9): 4598-4605. doi: 10.1109/TAP.2013.2268243.

SHORE R A. The use of nonlinear programming techniques for phase-only[C]. Antennas and Propagation Society International Symposium, Houston, TX, USA, 1983, 21: 23-26. doi: 10.1109/APS. 1983.1149075.

KHZMALYAN A D and KONDRATYEV A S. Fast iterative methods for phase-only synthesis of antenna array pattern nulls[J]. Electronics letters, 1995, 31(8): 601-602. doi: 10.1049/el:19950432.

MISMAR M J, ISMAIL T H, and ABU-AL-NADI D I. Analytical array polynomial method for linear antenna arrays with phase-only control[J]. AEU-International Journal of Electronics and Communications, 2007, 61(7): 485-492. doi: 10.1016/j.aeue.2006.06.009.

SMITH S T. Optimum phase-only adaptive nulling[J]. IEEE Transactions on Signal Processing, 1999, 47(7): 1835-1843. doi: 10.1109/78.771033.

CHOI W S and SARKAR T K. Phase-only adaptive processing based on a direct data domain least squares approach using the conjugate gradient method[J]. IEEE Transactions on Antennas and Propagation, 2004, 52(12): 3265-3272. doi: 10.1109/TAP.2004.836410.

STEYAKAL H. Simple method for pattern nulling by phase perturbation[J]. IEEE Transactions on Antennas and Propagation, 1983, 31(1): 163-166. doi: 10.1109/TAP.1983. 1142994.

BAIRD C A and RASSWEILER G G. Adaptive sidelobe nulling using digital controlled phase-shifters[J]. IEEE Transactions on Antennas and Propagation, 1976, 24(5): 638-649. doi: 10.1109/TAP.1976.1141415.

SHORE R A. Nulling at symmetric pattern location with phase only weight control[J]. IEEE Transactions on Antennas and Propagation, 1984, 32(5): 530-533. doi: 10.1109/TAP. 1984.1143360.

GIUSTO R and VINCENT P D. Phase-only optimization for the generation of wide deterministic nulls in the radiation pattern of phased arrays[J]. IEEE Transactions on Antennas and Propagation, 1983, 31(5): 814-817. doi: 10.1109/TAP. 1983.1143137.

吴梦, 刘宏伟, 王旭. 一种循环迭代的MIMO雷达发射方向图设计方法[J]. 电子与信息学报, 2015, 37(2): 322-327. doi: 10.11999/JEIT141043.

WU Meng, LIU Hongwei, and WANG Xu. A cyclic iterative method for MIMO radar transmit beampattern design[J]. Journal of Electronics Information Technology, 2015, 37(2): 322-327. doi: 10.11999/JEIT141043.

HUNTER D R and LANGE K. A tutorial on MM algorithms [J]. The American Statistician, 2004, 58(1): 30-37. doi: 10.1198/0003130042836.

冯灿, 肖亮, 韦志辉. 压缩感知ISAR成像的全变差优化最小算法[J]. 太赫兹科学与电子信息学报, 2013, 11(5): 775-781. doi: 10.11805/TKYDA201305.0775.

FENG Can, XIAO Liang, and WEI Zhihui. ISAR compressive imaging based on majorization-minimization of total variation[J]. Journal of Terahertz Science and Electronic Information Technology, 2013, 11(5): 775-781. doi: 10.11805/ TKYDA201305.0775.

施引文献

资源附件(0)

访问统计