Energy Efficient Beamforming Design Ior Multi-Carrier Multi-user Systems with Nonlinear Amplifiers

Zijian Wang, L. Vandendorpe
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Abstract

Ahstract- The energy efficiency (EE) maximization problem is studied for the design of beamforming for multi-carrier multiuser systems. Nonlinear amplifier at each antenna as well as per-antenna power constraints at the transmitter are considered. The quality-of-service (QoS) of each user is guaranteed by a minimal transmission rate. Because the power allocation variables and the beamforming vectors are coupled in the original problem, which makes it difficult to handle, we split the problem into two subproblems. The first subproblem, which optimizes the power allocation, can be formulated as a geometric programming (GP) after the term related to power consumption is approximated as a monomial. The second subproblem, which optimizes the beamforming, is formulated as a second-order cone programming (SOCP). Numerical results illustrate the effect of EE maximization on rates and the effect of circuit power and amplifier efficiency on EE.
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非线性放大器多载波多用户系统的高能效波束形成设计
摘要研究了多载波多用户系统波束形成设计中的能量效率最大化问题。考虑了各天线的非线性放大器以及发射机的单天线功率约束。每个用户的服务质量(QoS)由最小传输速率保证。由于原问题中功率分配变量和波束形成矢量是耦合的,处理起来比较困难,我们将问题分解为两个子问题。第一个子问题是优化功率分配的问题,在将与功耗相关的项近似为单项后,可以将其表述为几何规划(GP)。对波束形成进行优化的第二子问题被表述为二阶锥规划(SOCP)。数值结果说明了EE最大化对速率的影响以及电路功率和放大器效率对EE的影响。
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