Variable-length channel coding with noisy feedback
Variable-length channel coding with noisy feedback
复制标题
带噪声反馈的可变长度信道编码
DOI：
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发表时间：
2008
影响因子：
3.6
通讯作者：
A. Sahai
中科院分区：
文献类型：
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作者：
S. Draper;A. Sahai
众所周知，完美的无噪声反馈可用于提高通信系统的可靠性。我们展示了如何使这些增益对反馈链路上的噪声具有鲁棒性。我们专注于反馈环节，本身是离散的无记忆通道。我们证明了Forney的擦除解码指数是可以实现的任何正容量反馈信道。我们还证明，当期望的通信速率接近前向信道的容量时，在任何正容量有噪反馈信道的情况下，可靠性函数的Burnashev上限都是可以实现的。最后，我们证明了我们的计划占主导地位的擦除解码指数在所有速率，例如，在零速率可以实现高达四分之三的Burnashev的泽罗率的可靠性。这意味着，在一个共享的媒体，以最大限度地提高可靠性功能，一些自由度应分配给反馈。版权c 2008 AEI，首次出版由约翰威利&儿子，有限公司.
SUMMARY It is known that perfect noiseless feedback can be used to improve the reliability of communication systems. We show how to make those gains robust to noise on the feedback link. We focus on feedback links that are themselves discrete memoryless channels. We demonstrate that Forney’s erasure-decoding exponent is achievable given any positive-capacity feedback channel. We also demonstrate that as the desired rate of communication approaches the capacity of the forward channel, the Burnashev upper bound on the reliability function is achievable given any positive-capacity noisy feedback channel. Finally, we demonstrate that our scheme dominates the erasure-decoding exponent at all rates and, for instance, at zero rate can achieve up to three-quarters of Burnashev’s ze ro-rate reliability. This implies that in a shared medium, to maximize the reliability function some degrees of freedom should be allocated to feedback. Copyright c 2008 AEI, first published by John Wiley & Sons, Ltd.