Journal
IEEE PHOTONICS JOURNAL
Volume 2, Issue 6, Pages 1034-1039Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/JPHOT.2010.2091678
Keywords
Fiber-optics communications; forward error correction (FEC); low-density parity-check (LDPC) codes; coded modulation; reduced-complexity decoding
Funding
- Direct For Computer & Info Scie & Enginr
- Division of Computing and Communication Foundations [0952711] Funding Source: National Science Foundation
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We propose the reverse concatenated code as a forward error correction (FEC) scheme suitable for beyond 100-Gb/s optical transmission. In this scheme, BCH code is used as inner code and low-density parity-check (LDPC) code as outer code. The BCH decoder is implemented based on maximum a posteriori (MAP) decoding such as the BCJR/Ashikmin's algorithm, and an LDPC decoder is based on a min-sum-with-correction-term algorithm. Because maximum a posteriori (MAP) decoding is used as the inner decoder, it provides high accuracy reliabilities to be used in LDPC decoding. We show that proposed FEC scheme performs comparably with much longer LDPC codes of girth 12 for a smaller number of LDPC decoder iterations. Because the outer LDPC code is of medium length and the number of required iterations is low, the proposed concatenated scheme represents an interesting candidate to be used in beyond 100-Gb/s optical transmission. The net coding gain (NCG) of concatenated LDPC(16935,14819)-BCH(64,57) code is 9.62 dB at a bit error rate (BER) of 10(-9), whereas the expected NCG at BER of 10(-13) is 11.38 dB. This concatenated code outperforms the corresponding turbo-product counterpart with a Chase II decoding algorithm by 0.94 dB at BER of 10(-9).
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