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Capacity Results for Block-Stationary Gaussian Fading Channels With a Peak Power Constraint

机译：具有峰值功率约束的块固定高斯衰落信道的容量结果

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摘要

A peak-power-limited single-antenna block-stationary Gaussian fading channel is studied, where neither the transmitter nor the receiver knows the channel state information, but both know the channel statistics. This model subsumes most previously studied Gaussian fading models. The asymptotic channel capacity in the high signal-to-noise ratio (SNR) regime is first computed, and it is shown that the behavior of the channel capacity depends critically on the channel model. For the special case where the fading process is symbol-by-symbol stationary, it is shown that the codeword length must scale at least logarithmically with SNR in order to guarantee that the communication rate can grow logarithmically with SNR with decoding error probability bounded away from one. An expression for the capacity per unit energy is also derived. Furthermore, it is shown that the capacity per unit energy is achievable using temporal on–off signaling with optimally allocated on symbols, where the optimal on-symbol allocation scheme may depend on the peak power constraint.
机译：研究了峰值功率受限的单天线块平稳高斯衰落信道，其中发射机和接收机都不知道信道状态信息，但是都知道信道统计信息。该模型包含了以前研究最多的高斯衰落模型。首先计算了高信噪比（SNR）情况下的渐近信道容量，结果表明信道容量的行为关键取决于信道模型。对于衰落过程是逐个符号固定的特殊情况，表明码字长度必须至少与SNR呈对数关系，以确保通信速率可以与SNR呈对数关系，并且解码误差概率远离一。还导出了单位能量容量的表达式。此外，研究表明，使用时间开-关信令并在符号上进行最佳分配可以实现每单位能量的容量，其中最佳的符号分配方案可能取决于峰值功率约束。

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