论文标题
多位继电器在频道上串联
Multi-Bit Relaying over a Tandem of Channels
论文作者
论文摘要
我们研究了错误指数的问题，即在两个渠道共享相同过渡定律的串联的问题上，特别是超越了最近相关工作中研究的1位环境。我们的主要结果表明，在以下两个设置中，1跳和2-跳高指数重合：（i）消息的数量是固定的，并且通道定律满足称为成对可逆性的条件，或者（ii）频道是任意的，从上面采取零率限制。此外，我们还提供了各种结果的扩展，这些扩展是放宽成对可逆性和/或具有相同过渡定律的两个通道的假设，并且我们提供了一个示例，其中2-HOP指数严格低于1-Hop指数。
We study error exponents for the problem of relaying a message over a tandem of two channels sharing the same transition law, in particular moving beyond the 1-bit setting studied in recent related works. Our main results show that the 1-hop and 2-hop exponents coincide in both of the following settings: (i) the number of messages is fixed, and the channel law satisfies a condition called pairwise reversibility, or (ii) the channel is arbitrary, and a zero-rate limit is taken from above. In addition, we provide various extensions of our results that relax the assumptions of pairwise reversibility and/or the two channels having identical transition laws, and we provide an example for which the 2-hop exponent is strictly below the 1-hop exponent.
