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On Spectral Efficiency for Multiuser MISO Systems Under Imperfect Channel Information

机译：在不完美信道信息下多用户墨索系统的光谱效率

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摘要

We consider downlink transmission whereby a multiantenna base station simultaneously transmits data to multiple single-antenna users. We focus on slow flat fading channel where the channel state information is imperfect, the channel estimation error is unbounded and its statistics are known. The aim is to design beamforming vectors such that the sum rate is maximized under the constraints on probability of successful transmission for each user and maximum transmit power. The optimization problem is intractable due to the chance constraints. To this end, we propose an efficient solution drawn upon stochastic optimization. In particular, we first use the step function and its smooth approximation to get an approximate nonconvex stochastic program of the considered problem. We then develop an iterative procedure to solve the stochastic program based on the stochastic successive convex approximation framework. The numerical results show that the proposed solution can achieve remarkable sum rate gains compared to the conventional one.
机译：我们考虑下行链路传输，从而多生物基站同时将数据发送到多个单天线用户。我们专注于慢扁平衰落信道，其中信道状态信息不完美，信道估计误差是无界限的，并且其统计数据是已知的。目的是设计波束成形矢量，使得总和速率在每个用户和最大发射功率的成功传输的概率下最大化。优化问题由于机会限制而难以解决。为此，我们提出了一种在随机优化时绘制的有效解决方案。特别是，我们首先使用阶梯函数及其平滑的近似，以获得所考虑的问题的近似非谐波随机程序。然后，我们开发一种迭代程序，以解决基于随机连续凸的近似框架的随机程序。数值结果表明，与常规的解决方案相比，该解决方案可以实现显着的总和速率。

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