Title :
Lifting methods for quasi-cyclic LDPC codes
Author :
Myung, Seho ; Yang, Kyeongcheol ; Kim, Youngkyun
Author_Institution :
Dept. of Electron. & Electr. Eng., Pohang Univ. of Sci. & Technol.
fDate :
6/1/2006 12:00:00 AM
Abstract :
In this paper, we present two simple methods to construct a quasi-cyclic LDPC (QC-LDPC) code of larger length by lifting a given QC-LDPC code. We show that its girth is always larger than or equal to that of the given QC-LDPC code. Applying the methods recursively, it is possible to construct a sequence of QC-LDPC codes generated from a single exponent matrix by proper floor or modulo operations. Simulation results show that they have no serious performance degradation, as compared with randomly constructed LDPC codes
Keywords :
cyclic codes; matrix algebra; parity check codes; sequences; QC-LDPC code; lifting method; low density parity check codes; modulo operation; quasi-cyclic codes; sequence construction; single exponent matrix; AWGN; Additive white noise; Degradation; Microwave integrated circuits; OFDM; Parity check codes; Quantum cascade lasers;
Journal_Title :
Communications Letters, IEEE
DOI :
10.1109/LCOMM.2006.1638625
