An analysis of the block error probability performance of iterative decoding

Lentmaier M.; Truhachev D.V.; Zigangirov K.Sh.; Costello D.J. Jr.

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An analysis of the block error probability performance of iterative decoding

机译：迭代解码的块误码概率性能分析

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Asymptotic iterative decoding performance is analyzed for several classes of iteratively decodable codes when the block length of the codes N and the number of iterations I go to infinity. Three classes of codes are considered. These are Gallager's regular low-density parity-check (LDPC) codes, Tanner's generalized LDPC (GLDPC) codes, and the turbo codes due to Berrou et al. It is proved that there exist codes in these classes and iterative decoding algorithms for these codes for which not only the bit error probability P/sub b/, but also the block (frame) error probability P/sub B/, goes to zero as N and I go to infinity.

机译：当代码的块长度N和迭代次数I变为无穷大时，针对几类迭代可解码代码分析渐近迭代解码性能。考虑三类代码。这些是Gallager的常规低密度奇偶校验（LDPC）码，Tanner的广义LDPC（GLDPC）码以及Berrou等人提出的Turbo码。证明了在这些类别中存在代码以及针对这些代码的迭代解码算法，对于这些代码，不仅误码概率P / sub b /，而且块（帧）误码概率P / sub B /也变为零。 N和我去无穷大。

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《IEEE Transactions on Information Theory》 |2005年第11期|p.3834-3855|共22页
作者
Lentmaier M.; Truhachev D.V.; Zigangirov K.Sh.; Costello D.J. Jr.;
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正文语种 eng
中图分类无线电电子学、电信技术;
关键词
convergence of numerical methods; error statistics; iterative decoding; parity check codes; turbo codes; LDPC; asymptotic iterative decoding; belief propagation; block error probability; convergence analysis; density evolution; generalized LDPC; low-density parity-c;

机译：数值方法的收敛;误差统计;迭代解码;奇偶校验码;turbo码;LDPC;渐近迭代解码;置信传播;块错误概率;收敛性分析;密度演化;广义LDPC;低密度奇偶校验;

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机译：迭代解码的块错误概率性能分析

An analysis of the block error probability performance of iterative decoding

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