The performance of the uplink of single and multiuser multiple input multiple output (MIMO) systems depends crucially on the receiver architecture and the quality of channel state information at the receiver. Therefore, several previous works have developed minimum mean squared error (MMSE) receivers and proposed balancing the resources spent on acquiring channel state information and transmitting the payload of data packets. Somewhat surprisingly, the most popular MIMO linear MMSE receivers do not exploit the correlation structure that is present in autoregressive Rayleigh fading environments. Therefore, in this article we first develop a new linear receiver that not only takes channel state information errors into account in minimizing the MSE of the received data symbols, but it also utilizes that the subsequent noisy channel coefficients are correlated. For this new linear MMSE receiver, we derive the achieved MSE as a function of the number of receive antennas and the pilot-to-data power ratio. Interestingly, we find that the pilot power that minimizes the MSE of the data symbols does not depend on the number of antennas and that the new linear MMSE receiver outperforms previously proposed MIMO receivers when the autocorrelation coefficient of the channel is high.

中文翻译：

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时变瑞利衰落信道中线性 MMSE 接收机的性能分析

单用户和多用户多输入多输出 (MIMO) 系统上行链路的性能关键取决于接收机架构和接收机信道状态信息的质量。因此，之前的一些工作已经开发了最小均方误差 (MMSE) 接收器，并建议平衡用于获取信道状态信息和传输数据包有效载荷的资源。有点令人惊讶的是，最流行的 MIMO 线性 MMSE 接收器没有利用自回归瑞利衰落环境中存在的相关结构。因此，在本文中，我们首先开发了一种新的线性接收器，它不仅在最小化接收数据符号的 MSE 时考虑了信道状态信息误差，但它也利用了随后的噪声信道系数是相关的。对于这个新的线性 MMSE 接收器，我们将实现的 MSE 推导出为接收天线数量和导频数据功率比的函数。有趣的是，我们发现最小化数据符号 MSE 的导频功率不依赖于天线数量，并且当信道的自相关系数很高时，新的线性 MMSE 接收器优于先前提出的 MIMO 接收器。