通过分析LDPC(Low Density Parity Check)码树图、PEG(Progressive Edge-Growth)算法和准循环LDPC码的特点,提出了一种将PEG算法和准循环矩阵相结合来构造LDPC码校验矩阵的新算法.在该算法中,首先利用PEG算法构造基矩阵,再用文中提出的...通过分析LDPC(Low Density Parity Check)码树图、PEG(Progressive Edge-Growth)算法和准循环LDPC码的特点,提出了一种将PEG算法和准循环矩阵相结合来构造LDPC码校验矩阵的新算法.在该算法中,首先利用PEG算法构造基矩阵,再用文中提出的移位参数公式和准循环LDPC码结构特点来构造循环置换矩阵;然后利用循环置换矩阵和全零矩阵对基矩阵进行扩展,从而得到围长至少为8的准循环LDPC码校验矩阵.该算法综合了PEG算法和准循环码的优点,纠错性能总体上好于PEG算法,在相同的码参数条件下的硬件实现比PEG算法简单,且参数选择具有较大灵活性.展开更多
为了避免交织器产生的时延,通过改进的渐进边增长(PEG)算法和循环中国剩余定理构造了一种不规则重复累积(IRA)码。与常规的IRA码相比,提出的码字具有半随机半结构化形式,不需要设计交织器,且码长选择更加灵活。仿真结果显示,在码率为1/...为了避免交织器产生的时延,通过改进的渐进边增长(PEG)算法和循环中国剩余定理构造了一种不规则重复累积(IRA)码。与常规的IRA码相比,提出的码字具有半随机半结构化形式,不需要设计交织器,且码长选择更加灵活。仿真结果显示,在码率为1/2的条件下,当误码率为10-6时,构造的IRA(1 000,500)码与PEG-IRA(1 000,500)码和基于剩余类数对的IRA(1 000,500)码相比,在对应的相同条件下分别取得了0.2 d B和0.1 d B左右的净编码增益提升;且在码率为3/4时,所构造的IRA(16 200,11 880)码比相同码长和码率的DVB-S2标准LDPC码净编码增益提高了约0.1 d B左右。展开更多
The layered decoding algorithm has been widely used in the implementation of Low Density Parity Check (LDPC) decoders, due to its high convergence speed. However, the pipeline operation of the layered decoder may intr...The layered decoding algorithm has been widely used in the implementation of Low Density Parity Check (LDPC) decoders, due to its high convergence speed. However, the pipeline operation of the layered decoder may introduce memory access conflicts, which heavily deteriorates the decoder throughput. To essentially deal with the issue of memory access conflicts, we propose a construction algorithm of LDPC codes, to which a constraint condition is added in the Progressive Edge-Growth (PEG) algorithm. The constraint condition can guarantee that for our constructed LDPC codes, the sets of all the variable nodes connected to the consecutive layers do not share any common variable node, which can avoid the memory access conflicts. Simulation results show that the performance of our constructed LDPC codes is close to the several other LDPC codes adopted in wireless standards. Moreover, compared with the decoder for IEEE 802. 16e LDPC codes, the throughput of our LDPC decoder has large improvement, while the chip resource consumption is unchanged. Thus, our constructed LDPC codes can be adopted in the high-speed transmission.展开更多
文摘通过分析LDPC(Low Density Parity Check)码树图、PEG(Progressive Edge-Growth)算法和准循环LDPC码的特点,提出了一种将PEG算法和准循环矩阵相结合来构造LDPC码校验矩阵的新算法.在该算法中,首先利用PEG算法构造基矩阵,再用文中提出的移位参数公式和准循环LDPC码结构特点来构造循环置换矩阵;然后利用循环置换矩阵和全零矩阵对基矩阵进行扩展,从而得到围长至少为8的准循环LDPC码校验矩阵.该算法综合了PEG算法和准循环码的优点,纠错性能总体上好于PEG算法,在相同的码参数条件下的硬件实现比PEG算法简单,且参数选择具有较大灵活性.
文摘为了避免交织器产生的时延,通过改进的渐进边增长(PEG)算法和循环中国剩余定理构造了一种不规则重复累积(IRA)码。与常规的IRA码相比,提出的码字具有半随机半结构化形式,不需要设计交织器,且码长选择更加灵活。仿真结果显示,在码率为1/2的条件下,当误码率为10-6时,构造的IRA(1 000,500)码与PEG-IRA(1 000,500)码和基于剩余类数对的IRA(1 000,500)码相比,在对应的相同条件下分别取得了0.2 d B和0.1 d B左右的净编码增益提升;且在码率为3/4时,所构造的IRA(16 200,11 880)码比相同码长和码率的DVB-S2标准LDPC码净编码增益提高了约0.1 d B左右。
基金the National Natural Science Foundation of China，the National Key Basic Research Program of China，The authors would like to thank all project partners for their valuable contributions and feedbacks
文摘The layered decoding algorithm has been widely used in the implementation of Low Density Parity Check (LDPC) decoders, due to its high convergence speed. However, the pipeline operation of the layered decoder may introduce memory access conflicts, which heavily deteriorates the decoder throughput. To essentially deal with the issue of memory access conflicts, we propose a construction algorithm of LDPC codes, to which a constraint condition is added in the Progressive Edge-Growth (PEG) algorithm. The constraint condition can guarantee that for our constructed LDPC codes, the sets of all the variable nodes connected to the consecutive layers do not share any common variable node, which can avoid the memory access conflicts. Simulation results show that the performance of our constructed LDPC codes is close to the several other LDPC codes adopted in wireless standards. Moreover, compared with the decoder for IEEE 802. 16e LDPC codes, the throughput of our LDPC decoder has large improvement, while the chip resource consumption is unchanged. Thus, our constructed LDPC codes can be adopted in the high-speed transmission.
