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针对 IRA-LDPC 码类的半随机半代数结构设计
引用本文:彭 立,张 琦,王 渤,陈 涛.针对 IRA-LDPC 码类的半随机半代数结构设计[J].通信学报,2014,35(3):9-84.
作者姓名:彭 立  张 琦  王 渤  陈 涛
作者单位:华中科技大学 电信系 武汉国家光电实验室,湖北 武汉 430074
基金项目:国家自然科学基金资助项目(61071069)
摘    要:提出用半随机半代数结构的设计方法来构造IRA-LDPC码的信息位所对应的奇偶校验矩阵H d。与现有结构化LDPC码相比,所给出的H d矩阵的结构化紧凑表示阵列的独特优势在于:可使H d矩阵中每个1元素的位置坐标均能用数学表达式计算得到,不仅极大地降低了随机奇偶校验矩阵对存储资源的消耗,而且还为LDPC编解码器的低复杂度硬件实现提供了可能性。与现有工业标准中的LDPC码相比,所提出的IRA-LDPC码在误码率与信噪比的仿真性能方面也占有优势。

关 键 词:不规则重复积累码(IRA码)  低密度奇偶校验码(LDPC码)  奇偶校验矩阵  整数模n剩余类  整数模n循环群

Semi-random and semi-algebraic structural design for IRA-LDPC codes
Li PENG,Qi ZHANG,Bo WANG,Tao CHEN.Semi-random and semi-algebraic structural design for IRA-LDPC codes[J].Journal on Communications,2014,35(3):9-84.
Authors:Li PENG  Qi ZHANG  Bo WANG  Tao CHEN
Affiliation:Wuhan National Laboratory for Optoelectronics,Department of Electronic and Information Engineering,Huazhong University of Science and Technology,Wuhan 430074,China
Abstract:A method of semi-random and semi-algebraic structure was presented for constructing the low-density parity-check matrix that corresponds to the information bits of the IRA codes. Compared with the existing structural LDPC codes, the distinct advantage of the presented compact structural array for information-bit-corresponding matrix is that the position coordinate of each 1 element in this matrix can be calculated by a determinate algebraic expression, which not only reduces the consumption of memory resource for the random parity-check matrix, but also provides the potential probability for designing low complexity hardware circuit of the LDPC encoder/decoder. In addition, compared with the existing practical LDPC codes in industrial standard, the presented IRA-LDPC code is also slight preponderance in the performance of simulation in bit error rate and signal noise ratio (BER-SNB).
Keywords:irregular repeat-accumulate codes  low-density parity-check codes  parity-check matrix  residue class of integers modulo n  cyclic group of integers modulo n
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