arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 1107.4822cs.ITmath.IT
收藏

主动波束形成的最优选择反馈策略

Optimal Selective Feedback Policies for Opportunistic Beamforming

Tharaka Samarasinghe, Hazer Inaltekin, Jamie S. Evans

摘要:

研究了在平均反馈移动用户数有限的反馈约束下,下行链路和速率最大化选择性分散反馈机会波束形成策略的结构。首先证明了任何和速率最大化的选择性分散反馈策略都是门限反馈策略。这一结果适用于所有具有连续分布函数的衰落信道模型。其次,详细分析了由此产生的最佳阈值选择问题。这是一个有限维欧氏空间上的非凸优化问题。利用优控制理论,证明了和率函数的Schur凹结构,得到了齐次阈值反馈策略最优性的充分条件.这些结果的应用说明了众所周知的衰落信道模型,如瑞利,Nakagami和Rician衰落信道,以及各种工程和设计的见解。而令人惊讶的是,它示出,在所有移动用户使用相同的阈值并不总是一个速率明智的最佳反馈策略,即使是一个网络,具有相同的移动用户经历统计上相同的信道条件。对于瑞利衰落信道模型,另一方面,同质阈值反馈策略被证明是速率方面的最优,如果多个正交数据承载波束被用来同时与多个移动用户进行通信。

英文摘要:

This paper studies the structure of downlink sum-rate maximizing selective decentralized feedback policies for opportunistic beamforming under finite feedback constraints on the average number of mobile users feeding back. Firstly, it is shown that any sum-rate maximizing selective decentralized feedback policy must be a threshold feedback policy. This result holds for all fading channel models with continuous distribution functions. Secondly, the resulting optimum threshold selection problem is analyzed in detail. This is a non-convex optimization problem over finite dimensional Euclidean spaces. By utilizing the theory of majorization, an underlying Schur-concave structure in the sum-rate function is identified, and the sufficient conditions for the optimality of homogenous threshold feedback policies are obtained. Applications of these results are illustrated for well known fading channel models such as Rayleigh, Nakagami and Rician fading channels, along with various engineering and design insights. Rather surprisingly, it is shown that using the same threshold value at all mobile users is not always a rate-wise optimal feedback strategy, even for a network with identical mobile users experiencing statistically the same channel conditions. For the Rayleigh fading channel model, on the other hand, homogenous threshold feedback policies are proven to be rate-wise optimal if multiple orthonormal data carrying beams are used to communicate with multiple mobile users simultaneously.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑