四元数域主特征空间投影鲁棒自适应波束形成  

Quaternion-Valued Robust Adaptive Beamforming Based on Principal Eigenspace Projection

作　　者：章希睿[1] 刘志文[1] 王亚昕[1] 徐友根[1] 

机构地区：[1]北京理工大学信息与电子学院,北京100081

出　　处：《北京理工大学学报》2016年第7期755-759,共5页Transactions of Beijing Institute of Technology

基　　金：国家自然科学基金资助项目(61331019;61490691)

摘　　要：针对常规四元数域波束形成器在模型误差条件下的性能退化问题,提出基于拉伸三极子双平行阵列的四元数域主特征空间投影鲁棒自适应波束形成方法.相比现有四元数域最劣态最优化鲁棒波束形成器,该方法无需求解具有高计算复杂度的凸优化问题,且不涉及用户参数的优化设置,更易于实现.仿真结果表明,所提出的波束形成器可有效克服信号相消问题,能够以较低的计算成本获取优于四元数域最劣态最优化鲁棒自适应波束形成器的性能,且其优势在高信噪比和短快拍条件下尤为显著.Based on the principal eigenspace projection in the quaternion domain, a robust adaptive beamforming scheme was proposed with a dual-parallel array of spatially stretched tripole antennas, to tackle the performance degradation of quaternion-based adaptive beamformers in the presence of model mismatch errors. Compared with the quaternion-based worst-case constrained beamformer, the presented method does not need convex optimization and user-parameter selection. Numerical simulations show that the proposed method can tackle the signal self-nulling problem effectively, and significantly outperforms the quaternion-based worst-case constrained beamformer in the case of high SNRs and small sample sizes with reduced computational complexity.

关 键 词：鲁棒自适应波束形成 电磁矢量传感器阵列 四元数 主特征空间投影 

分 类 号：TN971.1[电子电信—信号与信息处理]