Massive MIMO多用户系统波束成形的凸优化解决思路分析

Convex Optimization Solution of Beam Forming in Massive MIMO

在Massive MIMO多用户通信系统中,波束形成利用空分的思想来调整多波束的方向相位,使得各波束对用户的指向更精确,从而有效提高系统的能效。波束算法最终要解决某一类优化问题,传统方法常常使用迭代计算,不但收敛速率慢,停止条件难以明确,且常常只能计算出局部最优值。因此,提出将凸优化理论与方法应用到Massive MIMO多用户通信系统中进行波束成形计算的思路,以大大加快计算收敛速率,且局部最优一定是全局最优,使得波束优化问题得到快速、可靠解决。

In Massive MIMO multiuser communication system, beamforming adjusts the directions of multiple beams, and makes these beams more accurately point to the users, thus effectively improving the energy efficiency of the system. Beamforming algorithm ultimately solves a certain class of optimization problems, and the traditional methods often use iterative calculation. However, this iteration is slow in convergence rate and indistinct in stop condition, and usually calculates the local optimal value only. For this reason, the convex optimization theory and methods are proposed and applied to the massive MIMO multiuser communication system for beamforming calculations, thus to greatly accelerate the convergence rate and ensure that the local optimum must be the global optimum, and finally make a rapid and reliable solution of beamforming optimization problem.