Low-density parity-check codes with simple irregular semi-random parity-check matrix finite-length applications
Low-density parity-check codes with simple irregular semi-random parity-check matrix finite-length applications
复制标题
具有简单不规则半随机奇偶校验矩阵有限长度应用的低密度奇偶校验码
DOI：
10.1109/pimrc.2003.1264310
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发表时间：
2003
期刊：
影响因子：
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通讯作者：
S. H. Jamali
中科院分区：
文献类型：
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作者：
M. Rashidpour;S. H. Jamali
为了在有限长度的实际应用中获得良好的性能和快速的编码，本文考虑了采用半随机校验阵的简单非规则低密度奇偶校验码(LDPC)的设计。我们限制二次变量节点的数目以满足半随机构造，然后利用类似于[Rashim our等]的技术优化奇偶校验矩阵的随机部分的简单的不规则结构。该过程对于任何速率都是通用的，并且对有限长度和低速率到高速率应用的结果进行了说明。所提出的码率为1/8的码适用于码分多址应用，略好于[Rasushour，M等人]中的最佳结果。除了快速编码能力之外。除了快速编码结构之外，高速率RODE(8/9)相对于磁记录通道中使用的最佳LDPC码之一还具有约0.25db的增益。
In this paper, we consider the design of simple irregular low-density parity-check (LDPC) codes with semi-random parity-check matrix for good performance and fast encoding in practical applications with finite-length. We limit the number of degree-two variable nodes to satisfy the semi-random construction and then we optimize a simple irregular structure for the random part of the parity-check matrix with similar technique presented in [Rashidpour et al.]. The procedure is general for any rate and the results are illustrated for finite-length and low rate to high rate applications. The presented code with rate 1/8 is suitable for CDMA application and is slightly better than the best result in [Rashidpour, M et al.] in addition to fast encoding capability. The high rate rode (8/9) is also has a gain about 0.25 dB with respect to one of the best LDPC code used in magnetic recording channel, in addition to fast encoding structure.