In this work, we present a solution for coordinated beamforming for large-scale downlink (DL) communication systems with low-resolution data converters when employing a per-antenna power constraint that limits the maximum antenna power to alleviate hardware cost. To this end, we formulate and solve the antenna power minimax problem for the coarsely quantized DL system with target signal-to-interference-plus-noise ratio requirements. We show that the associated Lagrangian dual with uncertain noise covariance matrices achieves zero duality gap and that the dual solution can be used to obtain the primal DL solution. Using strong duality, we propose an iterative algorithm to determine the optimal dual solution, which is used to compute the optimal DL beamformer. We further update the noise covariance matrices using the optimal DL solution with an associated subgradient and perform projection onto the feasible domain. Through simulation, we evaluate the proposed method in maximum antenna power consumption and peak-to-average power ratio which are directly related to hardware efficiency.
翻译:在这项工作中,我们提出了一个解决方案,用于在使用限制最大天线功率以降低硬件成本的全天线功率限制下端电源时,以低分辨率数据转换器对大型下端链(DL)通信系统进行协调的波束成型。为此,我们制定并解决粗略四分化的DL系统天线功率微积分问题,并配有目标信号对干涉+噪声比率要求。我们显示,与不确定的噪音共振矩阵相连的拉格朗加双倍相联的拉格朗江双倍相联的双倍差距达到零双倍差距,而且可以使用双倍解决方案来获得原始DL解决方案。我们提议了一个迭代算法,以确定最佳双倍解决方案,用于计算最佳DL光谱值。我们用最佳的DL解决方案进一步更新了噪声共变矩阵,同时使用相关子偏移法对可行域进行预测。我们通过模拟,评估了与硬件效率直接相关的最大天能消耗量和峰平均功率比率的拟议方法。