A Low-Complexity Bit-Embedding Decoder for Non-Binary LDPC Codes in $\mathbb {F}_{2^{q}}$

IF 3.2 2区 工程技术 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC IEEE Signal Processing Letters Pub Date : 2024-09-27 DOI:10.1109/LSP.2024.3469776
Xiaomeng Guo;Yongchao Wang
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Abstract

In this letter, a new decoder based on a bit-embedding technique for non-binary low-density parity-check (LDPC) codes over Galois fields of characteristic two ( $\mathbb {F}_{2^{q}}$ ) is presented. The main content of this work is summarized in the following: first, we derive the equivalent binary codeword and binary parity-check matrix for non-binary LDPC codes in $\mathbb {F}_{2^{q}}$ ; second, a customized belief propagation algorithm utilizing a bit-embedding technique is proposed based on the formulated binary-check matrix; in the end, simulations results demonstrate that the proposed approach enjoys significant improvement on computational complexity, but almost similar error-correction performance in comparison with the state-of-the-art non-binary LDPC decoders.
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$\mathbb {F}_{2^{q}}$ 中非二进制 LDPC 编码的低复杂度比特嵌入式解码器
在这封信中,我们介绍了一种基于比特嵌入技术的新型解码器,它适用于特征二伽罗瓦场上的非二进制低密度奇偶校验(LDPC)码($\mathbb {F}_{2^{q}}$ )。这项工作的主要内容概括如下:首先,我们推导出了 $\mathbb {F}_{2^{q}}$ 中非二进制 LDPC 码的等效二进制码字和二进制奇偶校验矩阵;其次,基于所制定的二进制校验矩阵,提出了一种利用比特嵌入技术的定制信念传播算法;最后,仿真结果表明,与最先进的非二进制 LDPC 解码器相比,所提出的方法在计算复杂性上有显著改善,但纠错性能几乎相似。
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来源期刊
IEEE Signal Processing Letters
IEEE Signal Processing Letters 工程技术-工程:电子与电气
CiteScore
7.40
自引率
12.80%
发文量
339
审稿时长
2.8 months
期刊介绍: The IEEE Signal Processing Letters is a monthly, archival publication designed to provide rapid dissemination of original, cutting-edge ideas and timely, significant contributions in signal, image, speech, language and audio processing. Papers published in the Letters can be presented within one year of their appearance in signal processing conferences such as ICASSP, GlobalSIP and ICIP, and also in several workshop organized by the Signal Processing Society.
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