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中文摘要：
为了实现最大化最差用户速率准则下的多小区下行协同波束成形优化，首先基于拉格朗日对偶理论推导出了多小区下行波束成形最差用户信干噪比最大化优化问题的虚拟上行对偶问题，进而提出了一种联合利用二分法和几何规划有效迭代解决该虚拟上行对偶问题的算法。通过把对偶上行链路优化问题的解转换到原始下行链路优化问题，从而获得多小区下行链路波束成形的波束矢量和发射功率。仿真结果表明，相比已有的多小区下行协同波束成形算法，所提算法在最差用户速率性能以及能效归一化速率性能指标方面都具有明显优势。
英文摘要：
With the goal to optimize the multi-cell downlink beamforming based on the criterion of the worst-user rate maximization, the Lagrangian duality theory was first used to derive a virtual multi-cell uplink optimization problem that was dual to the primal multi-cell downlink beamforming optimization problem. Base＇on that, an iterative algorithm was developed to solve the virtual uplink problem by combining the methods of bisection search and geometric programming. Then, the primal multi-cell downlink coordinated beamforming optimization problem could be solved by converting the solution of the virtual uplink problem to the downlink. Simulation results demonstrate that, in contrast to the existing co-ordinated beamforming schemes, the proposed scheme achieves better performance in terms of both the worst-user rate and the rate per energy （RPE）.
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