We consider the problem of communicating over a relay-assisted multiple-input multiple-output (MIMO) channel with additive noise, in which physically separated relays forward quantized information to a central decoder where the transmitted message is to be decoded. We assume that channel state information is available in the transmitter and show that the design of a rational-forcing precoder—a precoder which is matched to the quantizers used in the relays—is beneficial for reducing the symbol error probability. It turns out that for such rational-forcing precoder based systems, there is natural tradeoff between the peak to average power ratio in the transmitter and the rate of communication between the relays and the central decoder. The precoder design problem is formulated mathematically, and several algorithms are developed for realizing this tradeoff. Optimality of the decoder communication rate is shown based on a result in distributed function computation. Numerical and simulation results show that a useful tradeoff can be obtained between the excess decoder communication rate and the peak-average power ratio in the transmitter.

中文翻译：

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具有受控峰值平均功率比的通信高效分布式 MIMO 接收器的预编码器设计

我们考虑在具有附加噪声的中​​继辅助多输入多输出 (MIMO) 信道上进行通信的问题，其中物理分离的中继将量化信息转发到中央解码器，在那里对传输的消息进行解码。我们假设信道状态信息在发射机中可用，并表明合理强制预编码器（一种与中继中使用的量化器匹配的预编码器）的设计有利于降低符号错误概率。事实证明，对于这种基于理性强制预编码器的系统，在发射机中的峰均功率比与中继器和中央解码器之间的通信速率之间存在自然的折衷。预编码器设计问题是数学公式化的，并且开发了几种算法来实现这种权衡。基于分布式函数计算的结果示出了解码器通信速率的最优性。数值和仿真结果表明，可以在多余的解码器通信速率和发射机中的峰均功率比之间获得有用的折衷。