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On the Achievable Rate of Stationary Rayleigh Flat-Fading Channels With Gaussian Inputs

机译：具有高斯输入的固定瑞利平坦衰落信道的可实现速率

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摘要

In this work, a discrete-time stationary Rayleigh flat-fading channel with unknown channel state information at transmitter and receiver side is studied. The law of the channel is presumed to be known to the receiver. For independent identically distributed (i.i.d.) zero-mean proper Gaussian input distributions, the achievable rate is investigated. The main contribution of this paper is the derivation of two new upper bounds on the achievable rate with Gaussian input symbols. One of these bounds is based on the one-step channel prediction error variance but is not restricted to peak power constrained input symbols like known bounds. Moreover, it is shown that Gaussian inputs yield the same pre-log as the peak power constrained capacity. The derived bounds are compared with a known lower bound on the capacity given by Deng and Haimovich and with bounds on the peak power constrained capacity given by Sethuraman et al.. Finally, the achievable rate with i.i.d. Gaussian input symbols is compared to the achievable rate using a coherent detection in combination with a solely pilot-based channel estimation.
机译：在这项工作中，研究了在发射机和接收机侧具有未知信道状态信息的离散时间固定瑞利平坦衰落信道。假定信道定律是接收机已知的。对于独立的平均分布（i.d.d）零均值合适的高斯输入分布，研究了可达到的速率。本文的主要贡献是在高斯输入符号的可实现速率上推导了两个新的上限。这些界限之一基于单步信道预测误差方差，但不限于像已知界限一样受峰值功率约束的输入符号。此外，它表明高斯输入产生与峰值功率受限容量相同的对数。将得出的界限与Deng和Haimovich给出的容量的已知下限以及Sethuraman等人给出的峰值功率限制容量的界限进行比较。最后，i.i.d可以达到的速率。使用相干检测结合仅基于导频的信道估计，将高斯输入符号与可达到的速率进行比较。

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