Title :
Algebraic construction of quasi-cyclic LDPC codes for the AWGN and erasure channels
Author :
Tai, Ying Yu ; Lan, Lan ; Zeng, Lingqi ; Lin, Shu ; Abdel-Ghaffar, Khaled A S
Author_Institution :
Dept. of Electr. & Comput. Eng., California Univ., Davis, CA
Abstract :
This paper is concerned with construction of quasi-cyclic (QC) low-density parity-check (LDPC) codes for three different types of channels: the additive white Gaussian noise, the binary random erasure, and the binary burst erasure channels. Two algebraic methods for systematic construction of QC-LDPC codes are presented. Codes constructed perform well over all three types of channels
Keywords :
AWGN channels; algebra; channel coding; cyclic codes; parity check codes; AWGN channel; additive white Gaussian noise channel; algebraic construction; binary burst erasure channels; binary random erasure channel; quasi-cyclic LDPC codes; quasi-cyclic low-density parity-check codes; AWGN channels; Additive white noise; Belief propagation; Communications Society; Distributed computing; Geometry; Guidelines; Iterative decoding; NASA; Parity check codes; Erasure burst; Euclidean geometry; erasure correction (EC); iterative decoding; low-density parity-check (LDPC) codes; quasi-cyclic (QC) codes;
Journal_Title :
Communications, IEEE Transactions on
DOI :
10.1109/TCOMM.2006.881361
