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为设计高纠错性能且低复杂度的准循环-低密度奇偶校验(QC-LDPC)短码,提出了扩展原模图的码优化构造方法.在优化的原模图基础上,通过优化删除节点及扩展该模板校验节点为复合线性分组码扩展节点,并提升子矩阵维度来构造高效短码长QC-LDPC码.采用针对准循环基矩阵渐进边增长(PEG)扩展和准循环-改进的渐进环外消息度(QC-IACE)算法,优化搜索循环置换子矩阵偏移量,联合优化与改善码字停止集、陷阱集及围长与环分布等关系,综合提高码性能.仿真表明:所构造的QC-LDPC短码具有较好的误比特率性能,接近现有高性能随机码字,但码长较短,复杂度和编译码延迟相对较低.
In order to design quasi-cyclic low-density parity-check (QC-LDPC) short codes with high error-correcting performance and low complexity, a code optimization method for extending the original model is proposed.On the basis of the optimized original model, Delete the node and expand the template check node to compound the linear block code to expand the node and enhance the sub-matrix dimension to construct the high-efficiency short code length QC-LDPC code.For the quasi-cyclic basis matrix incremental edge growth (PEG) Improved QC-IACE algorithm, optimization search cyclic replacement sub-matrix offset, joint optimization and improvement of the code stop set, trap set and girth and ring distribution, etc., to improve the code performance. The results show that the constructed QC-LDPC short codes have better bit error rate performance and are close to the existing high performance random code words, but the code length is shorter, the complexity and the coding delay are relatively lower.