| 摘要: |
| 多元低密度奇偶校验（Non-binary Low-density Parity-check，NB-LDPC）码在中短码情况下性能优于传统二元LDPC码，更接近香农限。针对多元LDPC码码率兼容（Rate-compatible）的问题，提出了一种基于比特级的新型多元打孔算法。首先采用二进制镜像矩阵概念对多元校验矩阵进行映射处理，再根据变量节点的度分布选择合适的打孔节点，从而实现比特级多元LDPC码码率兼容的打孔方案。仿真结果证明与基于符号级的多元打孔算法相比，所提方案的误码率性能在各个码率分别有0.2~0.4 dB的增益。 |
| 关键词: 多元LDPC码 码率兼容 打孔算法 二元镜像 |
| DOI： |
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| 基金项目:国家自然科学基金面上项目（61771248） |
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| A puncturing algorithm for bit-wise rate-compatible non-binary LDPC codes |
| ZHOU Hua,QIAN Heyue,WANG Dengtian,GE Qiwei |
| (School of Electronic & Information Engineering，Nanjing University of Information Science and Technology，Nanjing 210044，China) |
| Abstract: |
| In the case of medium and short codes,non-binary low-density parity-check(NB-LDPC) codes perform better than traditional binary LDPC codes,and closer to the Shannon limit.In terms of non-binary rate-compatible LDPC(NB-RC-LDPC) codes,a novel bit puncturing algorithm is proposed.The concept of binary mapping is applied to the non-binary parity-check matrix,and a set of bit-wise nodes are punctured according to the degree of variable nodes,resulting in NB-RC-LDPC codes with the higher rate code embedded in the lower one.Simulation results show that gains of 0.2~0.4 dB are obtained in terms of the bit error rate(BER) compared with the symbol-wise performance. |
| Key words: non-binary low-density parity-check codes rate-compatible puncturing algorithm binary image |
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