| 基于QR码和SPC码的双广义LDPC码构造及性能研究 |
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| 引用本文： | 黄柔,黎勇.基于QR码和SPC码的双广义LDPC码构造及性能研究[J].重庆邮电大学学报(自然科学版),2022,34(6):942-948. |
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| 作者姓名： | 黄柔 黎勇 |
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| 作者单位： | 重庆邮电大学 通信与信息工程学院, 重庆 400065;重庆邮电大学 通信与信息工程学院, 重庆 400065;重庆大学 计算机学院, 重庆 400044 |
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| 基金项目： | 国家自然科学基金(61771081) |
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| 摘 要： | 为了降低低密度奇偶校验(low-density parity check,LDPC)码的错误平层，使其满足移动高清视频传输的极低误比特率(bit error rate,BER)要求，构造了一种基于平方剩余(quadratic residue,QR)码和单奇偶校验(single parity check,SPC)码的双广义LDPC(doubly-generalized LDPC,D-GLDPC)码。所构造的D-GLDPC码克服了有限码长的LDPC码性能不佳的问题以及广义LDPC(generalized LDPC,GLDPC)码的码率损失问题。基于QR码构造了准循环低密度奇偶校验(quasi cyclic LDPC,QC-LDPC)码，以QR码和SPC码作为分量码来构造D-GLDPC码，采用后验概率(a posteriori probability,APP)译码算法简化D-GLDPC码的译码。仿真结果表明，D-GLDPC码相比同码长同码率的LDPC码，在错误比特率和译码收敛速度上有明显的性能提升。
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| 关 键 词： | 平方剩余码 单奇偶校验码 准循环低密度奇偶校验码 双广义低密度奇偶校验码 |
| 收稿时间： | 2021/2/1 0:00:00 |
| 修稿时间： | 2022/10/30 0:00:00 |
Construction and performance of double generalized LDPC codes based on QR codes and SPC codes |
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| HUANG Rou,LI Yong.Construction and performance of double generalized LDPC codes based on QR codes and SPC codes[J].Journal of Chongqing University of Posts and Telecommunications,2022,34(6):942-948. |
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| Authors: | HUANG Rou LI Yong |
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| Institution: | School of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing 400065, P. R. China; School of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing 400065, P. R. China;School of Computer Science, Chongqing University, Chongqing 400044, P. R. China |
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| Abstract: | In order to reduce the error level of low-density parity check (LDPC) codes and make them meet the requirements of very low bit error rate (BER) for mobile HD video transmission, we construct a doubly-generalized LDPC (D-GLDPC) code based on square residue (QR) code and single parity check (SPC) code. The constructed D-GLDPC codes overcome the poor performance of LDPC codes with finite code length and the rate loss of generalized LDPC (GLDPC) codes. Quasi cyclic LDPC (QC-LDPC) codes are constructed based on QR codes, and D-GLDPC codes are constructed using QR codes and SPC codes as component codes, and a posteriori probability (APP) decoding algorithm simplifies the decoding of D-GLDPC codes. Simulation results show that the D-GLDPC code has significant performance improvement in error bit rate and decoding convergence speed compared with LDPC code with the same code length and code rate. |
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| Keywords: | quadratic residue code single parity check code quasi cyclic low-density parity check code doubly-generalized low-density parity check code |
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