有噪反馈下的分布式波束成形码本设计

Codebook design for distributed beamforming with noisy limited feedback

分布式波束成形系统需要将目的节点波束成形矢量信息反馈至中继节点,而在实际信道环境下反馈信息可能出现错误,造成目的节点接收信噪比损失.为此研究了有噪反馈下的分布式波束成形系统,提出了一种分析反馈错误影响的方法,给出了反馈错误与接收信噪比的闭合表达式.在此基础上,以最大化信噪比为准则进一步提出了低复杂度的分布式波束成形码本设计方法.仿真结果表明,所设计码本在有噪反馈情况下比矢量量化设计方法具有更强的鲁棒性.

Some feedback is generally required from the destination to relays in distributed beamforming system, while the SNR loss at the destination is induced by feedback error. Distributed beamforming with noisy limited feedback was studied. An analytical framework was proposed to analyze the effect of feedback error and the closed-form SNR expression was derived. Furthermore, based on the closed-form SNR expression,a method of codebook design with low complexity was proposed to maximize the received SNR at the destination. Simulation results show that the proposed codebook design is more robust than vector quantization （VQ） with noisy limited feedback.