A fast BER evaluation method for LDGM codes.

*(English)*Zbl 1202.94005Summary: Low-density generator matrix (LDGM) codes have recently drawn researchers’ attention thanks to their satisfying performance while requiring only moderate encoding/decoding complexities as well as to their applicability to network codes. In this paper, we aim to propose a fast simulation method useful to investigate the performance of LDGM code. Supported by the confidence interval analysis, the presented method is, for example, \(10^{8}\) times quicker than the Monte-Carlo computer simulation for bit-error-rate (BER) in \(10^{ - 10}\) region.

##### MSC:

94-04 | Software, source code, etc. for problems pertaining to information and communication theory |

94A29 | Source coding |

##### Software:

LDGM
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\textit{C.-C. Chang} et al., J. Franklin Inst. 347, No. 7, 1368--1373 (2010; Zbl 1202.94005)

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##### References:

[1] | Ping, L.; Chan, S.; Yeung, K.L., Iterative decoding of multi-dimensional concatenated single parity check codes, IEEE int. conf. commun., 131-135, (1998), June |

[2] | Luby, M.G.; Mitzenmacher, M.; Shokrollahi, M.A.; Spielman, D.A., Efficient erasure correcting codes, IEEE trans. inform. theory, 569-584, (2001), February · Zbl 1019.94032 |

[3] | Oenning, T.R.; Moon, J., A low-density generator matrix interpretation of parallel concatenated single bit parity codes, IEEE trans. magnetics, 737-741, (2001), March |

[4] | MacKay, D.J.C., Good error-correcting codes based on very sparse matrices, IEEE trans. inform. theory, 399-431, (1999), March · Zbl 0946.94030 |

[5] | Zhong, W.; Garcia-Frias, J., LDGM codes for channel coding and joint source-channel coding of correlated sources, EURASIP J. appl. signal process., 942-953, (2005), June · Zbl 1109.94340 |

[6] | X. Bao, and J. Li, Matching code-on-graph with network-on-graph: adaptive network coding for wireless relay networks, in: Proceedings of the 43rd Annual Allerton Conference on Communication, Control, and Computing, Champaign IL, September, 2005. |

[7] | Richardson, T.J.; Shokrollahi, M.A.; Urbanke, R.L., Design of capacity-approaching irregular low-density parity-check codes, IEEE trans. inform. theory, 619-637, (2001), February · Zbl 1019.94034 |

[8] | Chung, S.-Y.; Richardson, T.J.; Urbanke, R.L., Analysis of sum-product decoding of low-density parity-check codes using a Gaussian approximation, IEEE trans. inform. theory, 657-670, (2001), February · Zbl 0998.94503 |

[9] | E. Kreyszig, Advanced Engineering Mathematics, 9th edition, Wiley |

[10] | Heung-No Lee, Exact distance spectrum for low density generator matrix codes, unpublished |

[11] | Gonzalez-Lopez, M.; Vazquez-Araujo, F.J.; Castedo, L.; Garcia-Frias, J., Serially-concatenated low-density generator matrix (SCLDGM) codes for transmission over AWGN and Rayleigh fading channels, IEEE trans. wireless commun., 2753-2758, (2007), August |

[12] | W. Zhong, H. Chai, and J. Garcia-Frias, Approaching the Shannon limit through parallel concatenation of regular LDGM codes, in: Proceedings of the International Symposium on Information Theory, September,2005, pp. 1753-1757. |

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