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Code-Rate Selection, Queueing Behavior, and the Correlated Erasure Channel

机译：码率选择，排队行为和相关的擦除通道

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摘要

This paper considers the relationship between code-rate selection and queueing performance for communication systems subject to time-varying channel conditions. While error-correcting codes offer protection against channel uncertainties, there exists a natural tradeoff between the enhanced protection of low-rate codes and the rate penalty imposed by additional redundancy. In the limiting regime where codewords are asymptotically long, this tradeoff is well understood and characterized by the Shannon capacity. However, for delay-sensitive communication systems and finite block lengths, a complete characterization of this tradeoff is not fully developed. This paper offers a new perspective on the queueing performance of communication systems with finite block lengths operating over correlated erasure channels. A rigorous framework that links code rate to overall system performance for random codes is presented. Guidelines for code-rate selection in delay-sensitive systems are identified. These findings are supported by a numerical study.
机译：本文考虑了时变信道条件下通信系统的码率选择和排队性能之间的关系。虽然纠错码可提供针对信道不确定性的保护，但在增强的低速率码保护与额外冗余所造成的速率损失之间存在自然的折衷。在码字渐近长的限制机制中，这种折衷已被很好地理解并以香农能力为特征。但是，对于时延敏感的通信系统和有限的块长度，这种权衡的完整特征尚未得到充分开发。本文为在相关擦除通道上运行的具有有限块长度的通信系统的排队性能提供了新的视角。提出了一种严格的框架，该框架将代码速率与随机代码的整体系统性能相关联。确定了对延迟敏感的系统中的码率选择准则。这些发现得到了数值研究的支持。

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