The paper studies the multi-user precoding problem as a non-convex optimization problem for wireless multiple input and multiple output (MIMO) systems. In our work, we approximate the target Spectral Efficiency function with a novel computationally simpler function. Then, we reduce the precoding problem to an unconstrained optimization task using a special differential projection method and solve it by the Quasi-Newton L-BFGS iterative procedure to achieve gains in capacity. We are testing the proposed approach in several scenarios generated using Quadriga~-- open-source software for generating realistic radio channel impulse response. Our method shows monotonic improvement over heuristic methods with reasonable computation time. The proposed L-BFGS optimization scheme is novel in this area and shows a significant advantage over the standard approaches. The proposed method has a simple implementation and can be a good reference for other heuristic algorithms in this field.
翻译:本文将多用户预编码问题作为无线多输入和多输出系统(MIMO)的非节能优化问题来研究。 在我们的工作中,我们将目标光谱效率功能与新的更简单的计算功能相近。然后,我们用特殊的差别预测方法将预编码问题降为不受限制的优化任务,并通过Qasi-Newton L-BFGS迭接程序加以解决,以获得能力上的收益。我们正在用Quadriga~-开放源软件来测试几种设想情景中的拟议方法,以产生现实的无线电频道脉冲反应。我们的方法显示在合理的计算时间里对超常方法进行单调改进。拟议的L-BFGS优化计划在这一领域是新颖的,对标准方法有很大的优势。拟议方法的实施简单,可以作为该领域其他超值算法的很好参考。