Performance Analysis of Raptor Codes under Maximum-Likelihood Decoding

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Wang, Peng; Mao, Guoqiang; Lin, Zihuai; Ding, Ming; Liang, Weifa; Ge, Xiaohu; Lin, Zhiyun


2016


Journal Article


IEEE Transactions on Communications


64


3


906-917


In this paper, we analyze the maximum likelihood (ML) decoding performance of Raptor codes with a systematic low-density generator-matrix (LDGM) code as the pre-code. By investigating the rank of the product of two random coefficient matrices, bounds on the decoding failure probability are derived. Simulations are conducted to validate the accuracy of the analysis, which demonstrate that the derived bounds are accurate for Raptor codes employing different degree distributions and pre-codes and are also more accurate than those in existing work.


Raptor codes; asymptotic analysis; maximum-likelihood (ML) decoding; decoding failure probability.


https://doi.org/10.1109/TCOMM.2016.2522403


English


nicta:9126


Wang, Peng; Mao, Guoqiang; Lin, Zihuai; Ding, Ming; Liang, Weifa; Ge, Xiaohu; Lin, Zhiyun. Performance Analysis of Raptor Codes under Maximum-Likelihood Decoding. IEEE Transactions on Communications. 2016; 64(3):906-917. <a href="https://doi.org/10.1109/TCOMM.2016.2522403" target="_blank">https://doi.org/10.1109/TCOMM.2016.2522403</a>



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