Error Exponents for the Gaussian Channel With Active Noisy Feedback
Error Exponents for the Gaussian Channel With Active Noisy Feedback
复制标题
具有主动噪声反馈的高斯通道的误差指数
DOI：
10.1109/tit.2011.2104991
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发表时间：
2009
影响因子：
2.5
通讯作者：
T. Weissman
中科院分区：
文献类型：
--
作者：
Young;A. Lapidoth;T. Weissman
我们研究了最好的指数衰减的块长度的错误的概率，可以实现在高斯信道的传输中的一个单一的比特与一个活跃的噪声高斯反馈链路。我们施加一个预期的块功率约束的前向链路和研究几乎肯定和预期的块功率约束的反馈链路。在这两种情况下，最佳可实现的误差指数是有限的，并且与前向链路和反馈链路上的信噪比之间的较大者近似成比例地增长。在几乎确定块功率约束下的误差指数通常严格小于在预期约束下的误差指数。一些结果扩展到通信在任意速率低于容量和一般离散无记忆信道。
We study the best exponential decay in the block length of the probability of error that can be achieved in the transmission of a single bit over the Gaussian channel with an active noisy Gaussian feedback link. We impose an expected block power constraint on the forward link and study both almost-sure and expected block power constraints on the feedback link. In both cases the best achievable error exponents are finite and grow approximately proportionally to the larger between the signal-to-noise ratios on the forward and feedback links. The error exponents under almost-sure block power constraints are typically strictly smaller than under expected constraints. Some of the results extend to communication at arbitrary rates below capacity and to general discrete memoryless channels.