一种四元数域鲁棒自适应波束形成方法  

A Quaternion-valued Robust Adaptive Beamforming Method

作　　者：王荔[1] 徐友根[1] 刘志文[1] 

机构地区：[1]北京理工大学信息与电子学院,北京100081

出　　处：《中国电子科学研究院学报》2017年第2期132-136,共5页Journal of China Academy of Electronics and Information Technology

基　　金：国家自然科学基金(61490691;61331019)

摘　　要：本文考虑期望信号导向矢量失配条件下的四元数域鲁棒自适应波束形成问题。首先将复数域二次约束二次规划技术推广于四元数域,以对期望信号四元数域导向矢量进行修正。进一步将四元数域二次约束二次规划问题转化为实数域问题,从而可以直接利用凸优化工具包(CVX)进行求解。最后利用修正的信号四元数域导向矢量实现四元数域鲁棒自适应波束形成。仿真结果表明,本文所提四元数域鲁棒自适应波束形成方法在导向矢量失配条件下其输出信干噪比优于现有的四元数域自适应波束形成方法。The problem of quaternion-valued robust adaptive beamforming in the presence of steering vec- tor mismatch is considered in the paper. In the method, the complex-valued quadratically constrained quadratic programming technique is extended to the quaternion domain to enhance the quaternion-valued steering vector of the signal of interest （SOI）. The quaternion-valued quadratically constrained quadratic programming problem is then reformulated as a real-valued constrained one which can be directly solved by using the convex optimization toolkit （CVX）. The quaternion domain robust adaptive beamforming is finally realized by using the upgraded quaternion-valued SOI steering vector. Simulation results show that the proposed robust beamformer outperforms the existing quaternion domain adaptive beamformers in terms of output signal to interference-plus-noise ratio for the tested case of steering vector mismatch.

关 键 词：阵列信号处理 鲁棒自适应波束形成 四元数 模型失配 

分 类 号：TN971.1[电子电信—信号与信息处理]