In the nonbinary low-density parity check (NB-LDPC) codes decoding algorithms, the iterative hard reliability based on majority logic decoding (IHRB-MLGD) algorithm has poor error correction performance. The essential reason is that the hard information is used in the initialization and iterative processes. For the problem of partial loss of information, when the reliability is assigned during initialization, the error correction performance is improved by modifying the assignment of reliability at initialization. The initialization process is determined by the probability of occurrence of the number of erroneous bits in the symbol and the Hamming distance. In addition, the IHRB-MLGD decoding algorithm uses the hard decision in the iterative decoding process. The improved algorithm adds soft decision information in the iterative process, which improves the error correction performance while only slightly increasing the decoding complexity, and improves the reliability accumulation process which makes the algorithm more stable. The simulation results indicate that the proposed algorithm has a better decoding performance than IHRB algorithm.

中文翻译：

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基于研究的非二进制低密度奇偶校验解码算法多数逻辑解码

在非二进制低密度奇偶校验（NB-LDPC）码译码算法中，基于多数逻辑译码的迭代硬可靠性（IHRB-MLGD）算法纠错性能较差。本质原因是在初始化和迭代过程中使用了硬信息。针对信息部分丢失的问题，在初始化时分配可靠性时，通过修改初始化时的可靠性分配来提高纠错性能。初始化过程由符号中错误比特数的出现概率和汉明距离决定。此外，IHRB-MLGD解码算法在迭代解码过程中使用硬判决。改进后的算法在迭代过程中加入了软决策信息，提高了纠错性能，同时仅略微增加了解码复杂度，改进了可靠性累积过程，使算法更加稳定。仿真结果表明，所提算法比IHRB算法具有更好的解码性能。