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arXiv 1301.4444cs.ITmath.IT
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瑞利信道下非二进制LDPC码的二进制分集

Binary Diversity for Non-Binary LDPC Codes over the Rayleigh Channel

Valentin Savin, David Declercq

摘要:

本文分析了几种应用于非二进制低密度奇偶校验(LDPC)码的比特交织策略在瑞利衰落信道中的性能。在衰落信道上使用的比特交织技术引入了分集,分集可以在帧错误概率和检测方面提供重要的增益。本文论证了比特交织器实现方式的重要性,并提出了一种基于渐进边增长算法的比特交织器优化设计方案。该优化算法依赖于给定LDPC码的拓扑结构,可适用于任意度分布和码的实现。特别地,我们重点研究了基于具有恒定符号节点连接$d_v = 2$的图的非二进制LDPC码。这些规则的$(2,dc)$ -NB-LDPC码表现出最好的性能,这要归功于它们的大围长和随着有限域的阶数而增长的改进的解码阈值。仿真结果表明,所提出的交织技术相比,随机交织器,以及没有交织器的系统的优秀成果。

英文摘要:

In this paper we analyze the performance of several bit-interleaving strategies applied to Non-Binary Low-Density Parity-Check (LDPC) codes over the Rayleigh fading channel. The technique of bit-interleaving used over fading channel introduces diversity which could provide important gains in terms of frame error probability and detection. This paper demonstrates the importance of the way of implementing the bit-interleaving, and proposes a design of an optimized bit-interleaver inspired from the Progressive Edge Growth algorithm. This optimization algorithm depends on the topological structure of a given LDPC code and can also be applied to any degree distribution and code realization. In particular, we focus on non-binary LDPC codes based on graph with constant symbol-node connection $d_v = 2$. These regular $(2,dc)$-NB-LDPC codes demonstrate best performance, thanks to their large girths and improved decoding thresholds growing with the order of Finite Field. Simulations show excellent results of the proposed interleaving technique compared to the random interleaver as well as to the system without interleaver.

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