Title
Reduced-Complexity Linear Programming Decoding Based on ADMM for LDPC Codes
Abstract
The Euclidean projection onto check polytopes is the most time-consuming operation in the linear programming (LP) decoding based on alternating direction method of multipliers (ADMM) for low-density parity-check (LDPC) codes. In this letter, instead of reducing the complexity of Euclidean projection itself, we propose a new method to reduce the decoding complexity of ADMM-based LP decoder by decreasing the number of Euclidean projections. In particular, if all absolute values of the element-wise differences between the input vector of Euclidean projection in the current iteration and that in the previous iteration are less than a predefined value, then the Euclidean projection at the current iteration will be no longer performed. Simulation results show that the proposed decoder can still save roughly 20% decoding time even if both the overrelaxation and early termination techniques are used.
Year
DOI
Venue
2015
10.1109/LCOMM.2015.2418261
Communications Letters, IEEE  
Keywords
Field
DocType
Decoding,Standards,Signal to noise ratio,Vectors,Iterative decoding,Complexity theory
Discrete mathematics,Sequential decoding,Absolute value,Low-density parity-check code,Computer science,Algorithm,Real-time computing,Polytope,Linear programming,Euclidean geometry,Decoding methods,List decoding
Journal
Volume
Issue
ISSN
PP
99
1089-7798
Citations 
PageRank 
References 
12
0.71
5
Authors
3
Name
Order
Citations
PageRank
Haoyuan Wei1121.38
Xiaopeng Jiao2389.90
Jianjun Mu34110.63