Title
Construction of Binary LDPC Convolutional Codes Based on Finite Fields.
Abstract
Using a finite field approach, a novel algebraic construction of low-density parity-check (LDPC) convolutional codes with fast encoding property is proposed. According to the matrices of quasi-cyclic (QC) codes constructed based on the multiplicative groups of finite fields and the algebraic property that a binary circulant matrix is isomorphic to a finite ring, we first generate a polynomial-form parity-check matrix of an LDPC convolutional code under a given rate over a given finite field. Then some related modifications are made upon the original polynomial-form matrix to obtain the new one with fast encoding property. Simulation results show that the proposed LDPC convolutional codes have good performance with the iterative belief propagation decoding algorithm. © 2012 IEEE.
Year
DOI
Venue
2012
10.1109/LCOMM.2012.040912.112352
IEEE Communications Letters
Keywords
Field
DocType
Parity check codes,Convolutional codes,Block codes,Polynomials,Simulation,Bit error rate
Finite ring,Discrete mathematics,Convolutional code,Computer science,Low-density parity-check code,Turbo code,Block code,Serial concatenated convolutional codes,Linear code,Belief propagation
Journal
Volume
Issue
ISSN
16
6
1089-7798
Citations 
PageRank 
References 
3
0.44
4
Authors
3
Name
Order
Citations
PageRank
Liwei Mu1150.84
Xingcheng Liu26617.47
Chulong Liang310312.50