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中文摘要：
针对深空通信中高信道编码增益的需求,设计了一种新颖的基于按边增长（Progressive edge-growth,PEG）算法的广义低密度奇偶校验（Generalized LDPC,GLDPC）码。基于稀疏矩阵的二分图,首先改进了PEG算法用以构造规则LDPC,然后用BCH码作子码替换LDPC中的单奇偶校验码来构造PEG-GLDPC,最后重点研究了PEG-GLDPC的译码算法,提出一种联合BCH比特栅格译码与置信传播（Belief propagation,BP）算法的迭代译码机制。AWGN信道下的仿真结果表明,PEG-GLDPC译码性能优于LDPC以及传统GLDPC,适用于深空通信等低信噪比通信系统。
英文摘要：
A novel generalized LDPC （GLDPC） code based on progressive edge-growth （PEG）algorithm is proposed to meet the demand of channel high coding gain in deep space communi- cations. Based on the bipartite graph, PEG-GLDPC takes the regular LDPC constructed with modified PEG algorithm as a base matrix, and BCH is used as component code to replace single parity check codes in LDPC. PEG-GLDPC is iteratively decoded using belief propagation （BP） algorithm with a combination of trellis-based decoding of BCH. Simulation results over an （AWGN） channel indicate that the decoding performance of PEG-GLDPC is better than those of LDPC and traditional GLDPC, and it can be applied to low SNR communication systems such as deep space communication.
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