Efficient encoding of quasi-cyclic low-density parity-check codes

被引:324
作者
Li, ZW [1 ]
Chen, L
Zeng, LQ
Lin, S
Fong, WH
机构
[1] Carnegie Mellon Univ, DSSC, Pittsburgh, PA 15213 USA
[2] Univ Calif Davis, Dept Elect & Comp Engn, Davis, CA 95616 USA
[3] NASA, Goddard Space Flight Ctr, Greenbelt, MD 20771 USA
基金
美国国家科学基金会; 美国国家航空航天局;
关键词
array of circulants; quasi-cyclic (QQ low-density parity-check (LDPC) codes; systematic-circulant (SC) form;
D O I
10.1109/TCOMM.2005.861667
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
Quasi-cyclic (QC) low-density parity-check (LDPC) codes form an important subclass of LDPC codes. These codes have encoding advantage over other types of LDPC codes. This paper addresses the issue of efficient encoding of QC-LDPC codes. Two methods are presented to find the generator matrices of QC-LDPC codes in systematic-circulant (SC)form from their parity-check matrices, given in circulant form. Based on the SC form of the generator matrix of a QC-LDPC code, various types of encoding circuits using simple shift registers are devised. It is shown that the encoding complexity of a QC-LDPC code is linearly proportional to the number of parity bits of the code for serial encoding, and to the length of the code for high-speed parallel encoding.
引用
收藏
页码:71 / 81
页数:11
相关论文
共 25 条
[21]  
Tanner R. M., 2001, Proceedings. 2001 IEEE International Symposium on Information Theory (IEEE Cat. No.01CH37252), DOI 10.1109/ISIT.2001.936089
[22]   A RECURSIVE APPROACH TO LOW COMPLEXITY CODES [J].
TANNER, RM .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1981, 27 (05) :533-547
[23]   Combinatorial constructions of low-density parity-check codes for iterative decoding [J].
Vasic, B ;
Milenkovic, O .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2004, 50 (06) :1156-1176
[24]  
Wiberg N., 1996, Codes and decoding on general graphs
[25]   Construction of low-density parity-check codes by superposition [J].
Xu, J ;
Chen, L ;
Zeng, LQ ;
Lan, L ;
Lin, S .
IEEE TRANSACTIONS ON COMMUNICATIONS, 2005, 53 (02) :243-251