Title
Terminated LDPC Convolutional Codes over GF(2^p)
Abstract
In this paper, we present a construction method of terminated non-binary low-density parity-check (LDPC) convolutional codes. Our construction method is an expansion of Felstrom and Zigangirov construction for non-binary LDPC convolutional codes. The rate-compatibility of the non-binary LDPC convolutional codes is also discussed. The proposed rate-compatible code is designed from one single mother (2,4)-regular non-binary LDPC convolutional code of rate 1/2. Higher-rate codes are produced by puncturing the mother code and lower-rate codes are produced by multiplicatively repeating the mother code. For moderate values of the syndrome former memory, simulation results show that mother non-binary LDPC convolutional code outperform binary LDPC convolutional codes with comparable constraint bit length. And the derived low-rate and high-rate non-binary LDPC convolutional codes exhibit good decoding performance without loss of large gap to the Shannon limits.
Year
DOI
Venue
2010
10.1109/ALLERTON.2010.5706907
Communication, Control, and Computing
Keywords
Field
DocType
Galois fields,convolutional codes,information theory,parity check codes,Felstrom construction,GF(2p),Shannon limits,Zigangirov construction,convolutional codes,nonbinary low-density parity-check codes,rate-compatible code,syndrome former memory,terminated LDPC
Discrete mathematics,Concatenated error correction code,Convolutional code,Computer science,Low-density parity-check code,Serial concatenated convolutional codes,Turbo code,Block code,Reed–Solomon error correction,Linear code
Journal
Volume
ISBN
Citations 
abs/1010.0
978-1-4244-8215-3
3
PageRank 
References 
Authors
0.41
10
3
Name
Order
Citations
PageRank
Hironori Uchikawa1385.56
K. Kasai231933.57
Kohichi Sakaniwa333047.69