List Message Passing Decoding of Non-binary Low-Density Parity-Check Codes

被引:1
作者
Ben Yacoub, Emna [1 ]
机构
[1] Tech Univ Munich, Inst Commun Engn, Munich, Germany
来源
2021 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY (ISIT) | 2021年
关键词
ALGORITHMS; CHANNEL;
D O I
10.1109/ISIT45174.2021.9518213
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
A decoding algorithm for q-ary low-density parity-check codes over the q-ary symmetric channel is introduced. The exchanged messages are lists of symbols from F-q. A density evolution analysis for maximum list sizes 1 and 2 is developed. Thresholds for selected regular low-density parity-check code ensembles are computed showing gains with respect to a similar algorithm in the literature. Finite-length simulation results confirm the asymptotic analysis.
引用
收藏
页码:84 / 89
页数:6
相关论文
共 19 条
[1]   Extrinsic information transfer functions: Model and erasure channel properties [J].
Ashikhmin, A ;
Kramer, G ;
ten Brink, S .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2004, 50 (11) :2657-2673
[2]  
Barnault L, 2003, 2003 IEEE INFORMATION THEORY WORKSHOP, PROCEEDINGS, P70
[3]   Low Density Parity Check codes over GF(q) [J].
Davey, MC ;
MacKay, DJC .
1998 INFORMATION THEORY WORKSHOP - KILLARNEY, IRELAND, 1998, :70-71
[4]   Decoding algorithms for nonbinary LDPC codes over GF(q) [J].
Declercq, David ;
Fossorier, Marc .
IEEE TRANSACTIONS ON COMMUNICATIONS, 2007, 55 (04) :633-643
[5]   Non-Binary LDPC Decoder Based on Symbol Flipping with Multiple Votes [J].
Garcia-Herrero, F. ;
Declercq, D. ;
Valls, J. .
IEEE COMMUNICATIONS LETTERS, 2014, 18 (05) :749-752
[6]  
Hu XY, 2001, GLOB TELECOMM CONF, P995, DOI 10.1109/GLOCOM.2001.965567
[7]  
Kurkoski BM, 2007, 2007 INFORMATION THEORY AND APPLICATIONS WORKSHOP, P235
[8]   Analysis and Design of Binary Message Passing Decoders [J].
Lechner, Gottfried ;
Pedersen, Troels ;
Kramer, Gerhard .
IEEE TRANSACTIONS ON COMMUNICATIONS, 2012, 60 (03) :601-607
[9]   Verification-based decoding for packet-based low-density parity-check codes [J].
Luby, MG ;
Mitzenmacher, M .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2005, 51 (01) :120-127
[10]   Low Complexity X-EMS Algorithms for Nonbinary LDPC Codes [J].
Ma, Xiao ;
Zhang, Kai ;
Chen, Haiqiang ;
Bai, Baoming .
IEEE TRANSACTIONS ON COMMUNICATIONS, 2012, 60 (01) :9-13