Optimal Degree Distribution for Two-User Regular LDPC Codes Over GMAC by Fixed-Point Analysis

IF 4.4 3区计算机科学 Q2 TELECOMMUNICATIONS

IEEE Communications Letters Pub Date : 2025-07-15 DOI:10.1109/LCOMM.2025.3589504

Meilin He;Mingjue Zhu;Zhaoyang Zhang;Rui Guo;Haiquan Wang

引用次数: 0

Abstract

An analytical expression of the check nodes (CNs) degree in a two-user regular Low-Density Parity-Check (LDPC) code is derived over a Gaussian multiple access channel, and a Fixed Point Analysis (FPA) method is developed to determine the optimal degree distribution that maximizes the achievable sum rate of the system. Specifically, firstly, an analytical expression of the CNs degree is derived as a function of mutual information outputs. Secondly, based on this, a reliable region is obtained by taking a complement of a unified unreliable region. Finally, the optimal degree distribution is determined over this reliable region to achieve the optimal sum rate. Numerical results indicate that the proposed method offers superior accuracy and much lower computational complexity compared to the extrinsic information transfer (EXIT) chart.

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用不动点分析GMAC上两用户正则LDPC码的最优度分布

推导了高斯多址信道下双用户规则低密度奇偶校验码的校验节点度的解析表达式，并提出了一种不动点分析（FPA）方法来确定使系统可达和率最大化的最优校验节点度分布。具体而言，首先，推导出CNs度作为互信息输出函数的解析表达式。其次，在此基础上，对统一的不可靠区域取补，得到可靠区域；最后，在该可靠区域上确定最优度分布，以达到最优和率。数值结果表明，与外部信息传递（EXIT）图相比，该方法具有更高的精度和更低的计算复杂度。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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.