基于范数优化的对角加载稳健自适应波束形成

摘要

A diagonal loading robust adaptive beamforming algorithm based on norm optimization is presented in this paper.By using the p-norm to replace 2-norm,the algorithm modifies the error uncertainty to resolve the beamformer peffomance descending as the concurrent mismatch errors on steering vectors and swatch variance matrix.The optimized p-norm is acquired by genetic algorithm.Simulation results validate the better restriction performance using the optimization p-norm than the 2-norm under the different conditions,comparing with the conventional diagonal loading algorithms.%本文提出了一种基于范数优化的对角加载自适应波束形成算法.算法利用P-范数来代替2-范数对误差不确定性进行总体修正,从而解决导向矢量和样本方差矩阵同时存在失配误差时所导致的波束形成器性能下降问题.最优范数P通过遗传算法求得.仿真结果验证了在不同实验条件下,相比于传统的对角加载算法,使用最优P范数比2-范数约束具有更好的性能.