Title
Map Decoding For Ldpc Codes Over The Binary Erasure Channel
Abstract
In this paper, we propose a decoding algorithm for LDPC codes that achieves the MAP solution over the BEC. This algorithm, denoted as generalized tree-structured expectation propagation (GTEP), extends the idea of our previous work, the TEP decoder. The GTEP modifies the graph by eliminating a check node of any degree and merging this information with the remaining graph. The GTEP decoder upon completion either provides the unique MAP solution or a tree graph in which the number of parent nodes indicates the multiplicity of the MAP solution. This algorithm can be easily described for the BEC, and it can be cast as a generalized peeling decoder. The GTEP naturally optimizes the complexity of the decoder, by looking for checks nodes of minimum degree to be eliminated first.
Year
DOI
Venue
2011
10.1109/ITW.2011.6089364
2011 IEEE INFORMATION THEORY WORKSHOP (ITW)
Keywords
Field
DocType
MAP decoding, LDPC codes, tree-structured expectation propagation, graphical models
Discrete mathematics,Tree (graph theory),Computer science,Low-density parity-check code,Binary erasure channel,Theoretical computer science,Soft-decision decoder,Graphical model,Decoding methods,Expectation propagation,Computational complexity theory
Conference
Citations 
PageRank 
References 
1
0.35
6
Authors
4
Name
Order
Citations
PageRank
Luis Salamanca1285.63
Pablo M. Olmos211418.97
Juan José Murillo-Fuentes318223.93
Fernando Pérez-Cruz474961.24