论文标题
具有非二元LDPC代码的有效ADMM解码器，具有非二元性能的性能
Efficient ADMM Decoder for Non-binary LDPC Codes with Codeword-Independent Performance
论文作者
论文摘要
在本文中，我们致力于通过乘数（ADMM）技术的交替方向方法在特征两个（$ \ Mathbb {f} _ {2^q} $）的特征性两个（$ \ mathbb {f} _ {2^q} $）的Galois领域中设计非二进制低密度平价检查（LDPC）解码器。通过提议的位嵌入技术和三个变量奇偶校验检查方程的分解技术，提出了一种有效的ADMM解码算法，用于非二元LDPC代码。每个ADMM迭代中的计算复杂性大约是$ \ Mathcal {O}（NQ）$，其大大低于现有的LDPC解码器。此外，我们证明了所提出的解码器满足了独立于代码字的有利属性。模拟结果表明，与最先进的LDPC解码器相比，提出的解码器的出色性能。
In this paper, we devote to devise a non-binary low-density parity-check (LDPC) decoder in Galois fields of characteristic two ($\mathbb{F}_{2^q}$) via the alternating direction method of multipliers (ADMM) technique. Through the proposed bit embedding technique and the decomposition technique of the three-variables parity-check equation, an efficient ADMM decoding algorithm for non-binary LDPC codes is proposed. The computation complexity in each ADMM iteration is roughly $\mathcal{O}(nq)$, which is significantly lower than the existing LDPC decoders. Moreover, we prove that the proposed decoder satisfies the favorable property of the codeword-independent. Simulation results demonstrate the outstanding performance of the proposed decoder in contrast with state-of-the-art LDPC decoders.
