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几种LDPC码的最小汉明距离的计算 被引量:3

Computing the Minimum Distance of Several Kinds of LDPC Codes
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摘要 本文提出一种计算LDPC码的真实最小汉明距离的方法.该方法能够用来计算多种LDPC码方案的真实最小汉明距离,比如准循环LDPC码、pi-旋转LDPC码等.该方法是通过计算码的环长间接地找到LDPC码最小距离,由于计算环长的计算量要远比直接计算最小汉明距离来得低,因而该算法能够在有限时间内找到LDPC码的真实最小距离.通过仿真表明,用目前主流的个人计算机利用该方法找出一个有最小距离24的码率为1/4的准循环LDPC码最小距离大概需要花77分钟. In this paper, we present a measurement method of the real minimum Hamming distance of several kinds of LDPC codes,including quasi-cyclic LDPC codes,pi-rotation LDPC codes,etc. The minimum distance is indirectly obtained by computing the cycles of the LDPC code. Since the complexity of computing the cycles is much lower than that of direct computing the minimum distance, the method is efficient to compute the minimum distance of the LDPC code. From one of simulation results, it shows that it takes about 77 minutes to compute a minimum distance of 24 for a rate 1/4 quasi-cyclic LDPC code using a common personal computer.
出处 《电子学报》 EI CAS CSCD 北大核心 2007年第B06期69-73,共5页 Acta Electronica Sinica
基金 国家自然科学基金(No.60496313) 企业项目:Intel Research Project on the Key Techniques for TDD MIMO OFDM Systems
关键词 低密度奇偶校验(LDPC)码 环长 最小汉明距离 Low- density parity- check( LDPC ) codes cycle minimum distance
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