摘要
提出构造规则及准规则低密度校验码的一种新方法,即利用素域的特殊性质,首先构造素域上满足特定条件的矩阵,然后通过向量替换得到GF(2)上满足RC-约束条件的规则及准规则校验矩阵.采用这一方法构造的低密度校验码有良好的结构,其校验矩阵可以被分解为置换矩阵的阵列或近似置换矩阵的阵列.与一种被广泛研究的低密度校验码进行仿真比较,证实所构造的低密度校验码具有优良的纠错性能.
A method to construct regular or near-regular low-density parity-check (LDPC) codes is proposed. The matrix satisfying certain conditions over a prime field is constructed first, and the regu lar or near regular parity-check matrices over GF(2) is obtained by vector substitution. The low-density parity-check codes constructed by the proposed method have a good structure. The parity-check matrices can be decomposed into arrays of permutation matrices, or arrays of near permutation matrices. Compare simulation results with those widely researched array codes as LDPC codes, it is shown that these Low-density parity-cheek codes perform well.
出处
《北京邮电大学学报》
EI
CAS
CSCD
北大核心
2009年第3期14-17,共4页
Journal of Beijing University of Posts and Telecommunications
基金
国家自然科学基金项目(U0635003)
国家高技术研究发展计划项目(2007AA01Z215,2006AA01Z267)
桂林电子科技大学科学研究基金(UF09006Y)
关键词
低密度校验码
校验矩阵
素域
本原元
low-density parity-check code
parity-check matrix
prime field
primitive element