最差性能最优的稳健波束形成算法

Robust beamforming algorithm using worse-case performance optimization

基于最差性能最优的稳健波束形成算法可以等价转换成加载样本矩阵求逆(LSMI)算法.提出了一种新的求解方法,准确地计算出Lagrange乘数,给出了LSMI算法中的最优加载量,解决了对角加载技术中加载量估计难题.理论分析和计算机仿真表明,具有最优负加载的LSMI波束形成算法具有最优的性能改善,模约束参数选取得越大,性能改善越接近于最优.

The robust adaptive beamformer using worse-case performance optimization can be converted to the loaded sample matrix inversion （LSMI） algorithm equivalently. For the LSMI beamformer, a novel method is developed to solve the precise Lagrange multiplier, and the optimal loading level can be computed exactly. Most important, this method gives the efficient solution to finding the optimal loading level for diagonal loading. Theoretical analysis and simulation indicate that the LSMI beamformer with the optimal negative loading can give the best performance improvement, and the constraint parameter is so selected that the larger it is the closer to optimization the improvement will be .