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Capacity Bounds for Relay Channels With Intersymbol Interference and Colored Gaussian Noise

机译：具有符号间干扰和彩色高斯噪声的中继信道的容量边界

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摘要

The capacity of a relay channel with intersymbol interference (ISI) and additive colored Gaussian noise is examined under an input power constraint. Prior results are used to show that the capacity of this channel can be computed by examining the circular degraded relay channel in the limit of infinite block length. The current work provides single letter expressions for the achievable rates with decode-and-forward (DF) and compress-and-forward (CF) processing employed at the relay. Additionally, the cut-set bound for the relay channel is generalized for the ISI/colored Gaussian noise scenario. All results hinge on showing the optimality of the decomposition of the relay channel with ISI/colored Gaussian noise into an equivalent collection of coupled parallel, scalar, memoryless relay channels. The region of optimality of the DF and CF achievable rates is also discussed. The resulting rates are illustrated through the computation of numerical examples.
机译：在输入功率约束下，检查具有符号间干扰（ISI）和加色有色高斯噪声的中继信道的容量。先前的结果用于表明可以通过在无限块长度的限制下检查循环降级的中继信道来计算该信道的容量。当前的工作通过中继处采用的解码转发（DF）和压缩转发（CF）处理提供了可达到速率的单字母表达式。此外，针对ISI /彩色高斯噪声场景，通用了中继信道的割集边界。所有结果都取决于显示将具有ISI /彩色高斯噪声的中继通道分解为耦合的并行，标量，无记忆中继通道的等效集合的最优解。还讨论了DF和CF可以达到的速率的最佳区域。通过数值算例说明了计算结果。

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