Abstract | ||
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In this paper, we study the performance of spatially coupled LT (SC-LT) codes under low-complexity belief-propagation (BP) decoding when the transmission is over a binary erasure channel (BEC). We derive a tight upper bound and lower bound on the asymptotic error probability of these rateless codes in terms of overhead and the check degree in the limit of block-length. We show that for a given overhead, the error probability of SC-LT codes is independent of erasure probability of channel and decays exponentially fast in the check degree. We show that the channel capacity can be approached by using a high-rate precoder. |
Year | DOI | Venue |
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2015 | 10.1109/IWCIT.2015.7140204 | 2015 Iran Workshop on Communication and Information Theory (IWCIT) |
Keywords | Field | DocType |
rateless code,spatially coupled regular-LT code,SC-LT code,low-complexity belief propagation decoding,BP decoding,binary erasure channel,BEC,asymptotic error probability,channel capacity,high-rate precoder | Online codes,Concatenated error correction code,Luby transform code,Fountain code,Low-density parity-check code,Algorithm,Binary erasure channel,Theoretical computer science,Raptor code,Erasure code,Mathematics | Conference |
ISSN | Citations | PageRank |
2374-3212 | 0 | 0.34 |
References | Authors | |
10 | 1 |
Name | Order | Citations | PageRank |
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Vahid Aref | 1 | 58 | 6.49 |