Name
Title | ||
|---|---|---|
Tree-structure expectation propagation for decoding LDPC codes over binary erasure channels |
Abstract | ||
|---|---|---|
Expectation Propagation is a generalization to Belief Propagation (BP) in two ways. First, it can be used with any exponential family distribution over the cliques in the graph. Second, it can impose additional constraints on the marginal distributions. We use this second property to impose pair-wise marginal distribution constraints in some check nodes of the LDPC Tanner graph. These additional constraints allow decoding the received codeword when the BP decoder gets stuck. In this paper, we first present the new decoding algorithm, whose complexity is identical to the BP decoder, and we then prove that it is able to decode codewords with a larger fraction of erasures, as the block size tends to infinity. The proposed algorithm can be also understood as a simplification of the Maxwell decoder, but without its computational complexity. We also illustrate that the new algorithm outperforms the BP decoder for finite block-size codes. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1109/ISIT.2010.5513636 | international symposium on information theory |
Keywords | DocType | Volume |
channel coding,decoding,graph theory,parity check codes,trees (mathematics),bp decoder,ldpc tanner graph,ldpc code decoding,maxwell decoder,belief propagation,binary erasure channels,codeword,tree structure expectation propagation,exponential family,binary erasure channel,ldpc code,tree structure,computational complexity | Journal | abs/1006.1535 |
ISBN | Citations | PageRank |
978-1-4244-7891-0 | 9 | 0.63 |
References | Authors | |
7 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Pablo M. Olmos | 1 | 39 | 3.24 |
| Murillo-Fuentes, J.J. | 2 | 37 | 6.55 |
| Fernando Perez-Cruz | 3 | 21 | 1.23 |