论文标题
部分信息和部分偶然耦合的涡轮代码的分析和设计
Analysis and Design of Partially Information- and Partially Parity-Coupled Turbo Codes
论文作者
论文摘要
在本文中，我们研究了一类空间耦合的涡轮代码，即部分信息和部分偶然耦合的涡轮代码。这类代码具有多种优势，例如通过改变耦合率以及基础组件代码的编码和解码体系结构来调整灵活的代码速率调整。对于这项工作，我们首先提供具有耦合内存$ m $的部分耦合涡轮代码的施工方法，并研究相应的图形模型。然后，我们得出了二元擦除通道上相应的集合的密度演化方程，以精确计算其迭代解码阈值。还提供了与速率兼容的设计及其解码阈值，在此，共同优化了耦合和穿刺比以达到给定目标代码速率的最大解码阈值。我们的结果表明，对于广泛的代码速率，提议的代码可达到接近容量的性能，而解码性能随着耦合内存而提高。尤其是，拟议的部分偶联的涡轮代码的阈值在BEC容量的0.0002范围内，价格从$ 1/3 $到$ 9/10 $不等，这为构建构建汇率兼容的容量承认通道代码提供了一种有吸引力的方式。
In this paper, we study a class of spatially coupled turbo codes, namely partially information- and partially parity-coupled turbo codes. This class of codes enjoy several advantages such as flexible code rate adjustment by varying the coupling ratio and the encoding and decoding architectures of the underlying component codes can remain unchanged. For this work, we first provide the construction methods for partially coupled turbo codes with coupling memory $m$ and study the corresponding graph models. We then derive the density evolution equations for the corresponding ensembles on the binary erasure channel to precisely compute their iterative decoding thresholds. Rate-compatible designs and their decoding thresholds are also provided, where the coupling and puncturing ratios are jointly optimized to achieve the largest decoding threshold for a given target code rate. Our results show that for a wide range of code rates, the proposed codes attain close-to-capacity performance and the decoding performance improves with increasing the coupling memory. In particular, the proposed partially parity-coupled turbo codes have thresholds within 0.0002 of the BEC capacity for rates ranging from $1/3$ to $9/10$, yielding an attractive way for constructing rate-compatible capacity-approaching channel codes.
