In recent years, distributed beamforming has attracted a lot of attention. Since each node has its own processing power, one significant advantage is the capability of distributed computing. In general, almost all distributed beamforming approaches are solving certain multi-block optimization problems. However, additional conditions are usually required to ensure convergence. In this paper, a new distributed beamforming algorithm is proposed. We first introduce the augmented Lagrangian method to implement the centralized LCMV beamformer design. Then, we propose an effective blockwise optimization method for the design of distributed LCMV beamformer based on the randomly permuted alternating direction method of multiplier (RP-ADMM). The expected convergence is obtained for distributed LCMV beamformer design without additional conditions. Numerical experiments are conducted to illustrate the performance of the proposed method.

近年来，分布式波束成形吸引了很多关注。由于每个节点都有自己的处理能力，因此一个重要的优势就是分布式计算的能力。通常，几乎所有分布式波束成形方法都在解决某些多块优化问题。但是，通常需要附加条件来确保收敛。本文提出了一种新的分布式波束成形算法。我们首先介绍增强拉格朗日方法，以实现集中式LCMV波束形成器设计。然后，基于乘子的随机排列交替方向方法（RP-ADMM），提出了一种有效的逐块优化方法，用于分布式LCMV波束形成器的设计。对于分布式LCMV波束形成器设计，无需附加条件即可获得预期的收敛性。