BIBD循环置换矩阵的多进制LDPC码构造  

Construction of Nonbinary LDPC Codes Based on BIBD Circulant Permutation Matrices

作　　者：刘冰[1,2] 陶伟[3,2] 窦高奇[2] 高俊[2] 

机构地区：[1]解放军91469部队 [2]海军工程大学电子工程学院 [3]海军装备研究院

出　　处：《电讯技术》2011年第9期27-34,共8页Telecommunication Engineering

基　　金：国家高技术研究发展计划(863计划)项目(2009AAJ128,2010AA7010422);国家博士后科学基金(200902671)~~

摘　　要：提出了基于均衡不完全区组设计(Balanced Incomplete Block Design,BIBD)的多进制准循环LDPC(Low-Density Parity-Check)码代数构造方法。在该构造方法中提出了广义多进制位置向量的概念,并根据广义多进制位置向量和BIBD法对指数矩阵进行广义二维扩展,构造出具有循环置换子矩阵的多进制校验矩阵,由此得到girth不小于6的多进制LDPC码。仿真结果表明,采用FFT-QSPA(基于快速傅里叶变换的多进制和积算法)对构造出的LDPC码进行译码,在AWGN信道下相比于同参数的RS码来说可以取得明显的编码增益,并且优于多进制Mackay码。The algebraic method for constructing nonbinary quasi-cyclic（QC） low-density parity-check （LDPC） codes based on balanced incomplete block designs（BIBD） is presented. The generalized nonbinary location vector is proposed on constructions. A nonbinary matrix, which consists of nonbinary circulant submatrices, is formed by generalized two-dimensional matrix dispersion considering the generalized nonbinary location vector and BIBD method. The codes constructed by this method have girths at least 6. Experimental results show that significant ceding gains are achieved over Reed-Solomon codes of the same parameters under the Additive White Gaussian Noise（AWGN） channel with iterative decoding Fast Fourier Transform based q- ary Sum- Product Algorithm（FlCT-QSPA）. And a good performance is also achieved over nonbinary Mackay LDPC codes with almost the same conditions.

关 键 词：多进制低密度奇偶校验码 准循环 均衡不完全区组 广义多进制位置向量 二维扩展 

分 类 号：TN911.22[电子电信—通信与信息系统]