论文标题

部分信息耦合二人二进制涡轮代码

Partially Information Coupled Duo-Binary Turbo Codes

论文作者

Wu, Xiaowei, Qiu, Min, Yuan, Jinhong

论文摘要

部分信息耦合涡轮代码(PIC-TC)是一类空间耦合的涡轮代码,可以在保持基础组件代码的编码和解码体系结构不变的同时接近BEC容量。但是,与其组件速率1/3涡轮代码相比,PIC-TC具有明显的速率损失,并且速率损失随耦合比的增加而增加。为了吸收速率损失,在本文中,我们提出了部分信息耦合二元二元涡轮代码(PIC-DTC)。给定RATE-1/3涡轮代码作为基准,我们通过向基准代码引入一个额外的输入来构建二人二进制涡轮代码。然后,将原始输入中信息序列的一部分耦合到后续代码块的额外输入。通过查看PIC-DTC合奏的图形模型,我们得出了PIC-DTC集合的确切密度演化方程,并计算其信念传播解码阈值在二进制擦除通道上。仿真结果验证了我们的理论分析的正确性,并且还显示出对未耦合的速率1/3涡轮代码和现有的空间耦合涡轮代码的现有设计的明显错误性能改善。

Partially information coupled turbo codes (PIC-TCs) is a class of spatially coupled turbo codes that can approach the BEC capacity while keeping the encoding and decoding architectures of the underlying component codes unchanged. However, PIC-TCs have significant rate loss compared to its component rate-1/3 turbo code, and the rate loss increases with the coupling ratio. To absorb the rate loss, in this paper, we propose the partially information coupled duo-binary turbo codes (PIC-dTCs). Given a rate-1/3 turbo code as the benchmark, we construct a duo-binary turbo code by introducing one extra input to the benchmark code. Then, parts of the information sequence from the original input are coupled to the extra input of the succeeding code blocks. By looking into the graph model of PIC-dTC ensembles, we derive the exact density evolution equations of the PIC-dTC ensembles, and compute their belief propagation decoding thresholds on the binary erasure channel. Simulation results verify the correctness of our theoretical analysis, and also show significant error performance improvement over the uncoupled rate-1/3 turbo codes and existing designs of spatially coupled turbo codes.

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