Robust Beamforming with Magnitude Response Constraints and Conjugate Symmetric Constraint
Robust Beamforming with Magnitude Response Constraints and Conjugate Symmetric Constraint
复制标题
DOI：
10.1109/lcomm.2013.011513.122688
复制
发表时间：
2013-01
期刊：
影响因子：
--
通讯作者：
Dingjie Xu;Rui He;F. Shen
中科院分区：
文献类型：
--
作者：
Dingjie Xu;Rui He;F. Shen
本文提出了一种新的具有幅度响应约束和共轭对称约束的鲁棒自适应波束形成器。通过对幅度响应的约束，我们可以灵活地控制具有指定波束宽度和响应纹波的鲁棒响应区域。然而，由于非凸下界幅度响应约束，传统的凸优化技术不能直接应用。为了克服这一点，我们利用数组权重的对称结构，将非凸约束转换为凸约束，而无需任何松弛或近似。为了获得一个更强大的波束形成器对各种阵列缺陷，我们进一步扩展所提出的方法来处理最坏情况下的性能优化。
In this letter, a novel robust adaptive beamformer is proposed with magnitude response constraints and conjugate symmetric constraint. With the constraints on magnitude response, we can flexibly control the robust response region with specified beamwidth and response ripple. However, due to the non-convex lower bound magnitude response constraint, conventional convex optimization techniques cannot be applied directly. To overcome this, we exploit the symmetric structure of the array weights to transform the non-convex constraint into a convex one without any relaxation or approximation. In order to obtain a more robust beamformer against all kinds of array imperfections, we further extend the proposed approach to deal with the optimization of worst-case performance.