计算机工程与应用 ›› 2008, Vol. 44 ›› Issue (7): 168-170.

• 网络、通信与安全 • 上一篇    下一篇

基于差集的低密度校验码的构造

孙 涛,朱莉艳   

  1. 扬州大学 数学科学学院,江苏 扬州 225002
  • 收稿日期:2007-06-29 修回日期:2007-08-30 出版日期:2008-03-01 发布日期:2008-03-01
  • 通讯作者: 孙 涛

Construction of Low-Density Parity-Check codes based on difference sets

SUN Tao,ZHU Li-yan   

  1. Department of Mathematical Science,Yangzhou University,Yangzhou,Jiangsu 225002,China
  • Received:2007-06-29 Revised:2007-08-30 Online:2008-03-01 Published:2008-03-01
  • Contact: SUN Tao

摘要: 组合设计是构造好的低密度校验码的潜在有力工具,提出了利用差集来构造准循环低密度校验码(QC-LDPC)的新方法。该方法构造的QC-LDPC码,最小环长至少为6,码率的选择也具有很大的灵活性。由于其准循环结构,可以用简单线性移位寄存器完成编码。计算机仿真结果表明该方法构造的QC-LDPC码,在加性高斯白噪声信道中BPSK调制下用和积迭代译码性能很好。

Abstract: Combinatoric design is a potentially powerful tool for constructing good LDPC codes.In this paper,a new approach to construct regular quasi-cyclic Low-Density Parity-Check(LDPC) codes based on the difference sets is proposed.The constructed LDPC codes is free of 4-cycles and with high flexibility in the choose of the code rate.Because of their quasi-cyclic structure,the encoding can be implemented with simple feedback shift register.Simulations show that the constructed quasi-cyclic LDPC codes with Sum-product iterative decoding perform well under BPSK modulation over an Additive White Gaussian Noise(AWGN) channel.