D-IRA Codes Over Integer Rings for Lattice-Based Multiple Access

IF 3.7 3区计算机科学 Q2 TELECOMMUNICATIONS

IEEE Communications Letters Pub Date : 2024-10-22 DOI:10.1109/LCOMM.2024.3484580

Tianbo Zhang;Fangtao Yu;Tao Yang;Rongke Liu

引用次数: 0

Abstract

We study capacity-approaching irregular repeat accumulate (IRA) codes over integer rings

$\mathbb {Z}_{2^{m}}$

for

$2^{m}$

-PAM signaling,

$m=1,2,\cdots $

. Such codes belong to the ensemble of lattice codes. First, the effect of zero-divisors on the iterative belief-propagation (BP) decoding is analyzed. We show that the symmetric Gaussian approximation is invalid for existing IRA codes over integer rings. Then we propose a new doubly IRA (D-IRA) ring code structure, which consists of irregular multiplier distribution and irregular node-degree distribution. Such structure can restore the symmetry and optimize the BP decoding threshold. Numerical result demonstrates the improved performance of D-IRA codes for AWGN channel. Also, it is demonstrated that the lattice based multiple-access scheme with D-IRA code performs within 3 dB the capacity limit.

查看原文本刊更多论文

基于格子多址的整数环上的D-IRA码

我们研究了整数环$\mathbb {Z}_{2^{m}}$上的容量逼近不规则重复累积（IRA）码，用于$2^{m}$ -PAM信令，$m=1,2,\cdots $。这种码属于点阵码的集合。首先，分析了零因子对迭代信念传播（BP）译码的影响。我们证明了对称高斯近似对于整数环上现有的IRA代码是无效的。在此基础上，提出了一种由不规则乘数分布和不规则节点度分布组成的双IRA （D-IRA）环码结构。这种结构可以恢复对称性，优化BP解码阈值。数值结果表明，在AWGN信道中，D-IRA码的性能得到了改善。此外，还证明了基于点阵的D-IRA码多址方案在3db容量限制内的性能。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

IEEE Communications Letters 工程技术-电信学

CiteScore

8.10

自引率

7.30%

发文量

590

审稿时长

2.8 months

期刊介绍： The IEEE Communications Letters publishes short papers in a rapid publication cycle on advances in the state-of-the-art of communication over different media and channels including wire, underground, waveguide, optical fiber, and storage channels. Both theoretical contributions (including new techniques, concepts, and analyses) and practical contributions (including system experiments and prototypes, and new applications) are encouraged. This journal focuses on the physical layer and the link layer of communication systems.