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大girth多进制阵列准循环LDPC码

Nonbinary Array Quasi-Cyclic LDPC Codes of Large Girth
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摘要 Tanner图中girth的大小和分布影响着码字的误码性能,通过适当地增加girth值可进一步提升多进制准循环LDPC(Low-Density Parity-Check)码性能。采用直接构造法确定短环线性约束方程,构造出满足大girth的指数矩阵,提出了基于不同域的广义二维扩展方法,进而与大girth阵列码结合构造出了大girth多进制阵列码。仿真结果表明,在高斯白噪声信道中构造出的码字具有较强的纠错性能,且在一定范围内更大的girth可取得更大的编码增益,利于有效快速的编译码,保证信息的可靠传输,满足高频带利用率。 The error performance of codewords are affected by the size and distribution of the girth in the Tanner graph,and the performance of nonbinary quasi-cyclic(QC)low-density parity-check(LDPC)can be improved by increasing girth properly.The exponential matrices with large girth are constructed by the explicit approach,which is determined by the cycle-governing linear equations. A generalized two-dimensional matrix dispersion based on two various Galois fields is proposed. The nonbinary array LDPC codes are designed by combining with the array codes of large girth and the matrix dispersion. The simulation results show that the codes considered can lead to significant gains by increasing the girth in a certain range over an additive white Gaussian noise channel. It benefits fast encoding and efficient decoding,and the error correction can ensure reliable transmission and meet high bandwidth efficiency.
作者 刘冰 任席闯 崔洁 LIU Bing;REN Xichuang;CUI Jie(No. 91469 Troops of PLA,Beijing 100841)
机构地区 中国人民解放军
出处 《舰船电子工程》 2019年第7期205-211,共7页 Ship Electronic Engineering
关键词 多进制低密度奇偶校验码 准循环 大girth 阵列码 nonbinary low-density parity-check(LDPC)codes quasi-cyclic large girth array codes
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