Low complexity product codes with LDPC codes achieving ultra low BER
Low complexity product codes with LDPC codes achieving ultra low BER
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DOI：
10.1109/icct.2012.6511401
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发表时间：
2012-11
期刊：
影响因子：
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通讯作者：
Weigang Chen;Tongxin Dong
中科院分区：
文献类型：
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作者：
Weigang Chen;Tongxin Dong
100 Gbit/s 长距离光通信等高速通信需要超低误码率 (BER)。本文利用低密度奇偶校验（LDPC）码和极高速率代数块码，利用 LDPC 解码失败的稀疏性和有错误的 LDPC 帧中的稀疏错误分布，提出了一种简单乘积码。具体地，与传统的乘积码不同，信息比特首先采用低编解码复杂度的极高速率代数块码进行编码。甚至可以使用使用代数解码方法纠正单个错误的块码。然后，使用LDPC码作为内码以利用迭代解码获得低解码阈值。该设计方案可以在相对较低的信噪比下实现超低误码率。该方案的代价是相对较大的延迟，这对于超高速通信来说并不是那么重要。
Ultra low bit error rate (BER) is required in high speed communications such as the 100 Gbit/s long haul optic communications. In this paper, a type of simple product codes is proposed using low density parity check (LDPC) codes with very high rate algebraic block codes by exploiting the sparsity of LDPC decoding failure and sparse error distribution in an LDPC frame with errors. Specifically, different with traditional product codes, the information bits are first encoded with very high rate algebraic block codes of low encoding and decoding complexity. Even the block codes correcting a single error using algebraic decoding method can be used. Then, LDPC codes are used as the inner code to obtain a low decoding threshold using iterative decoding. This design scheme can achieve the ultra low bit error rate at relatively low signal-to-noise ratios. The cost of the proposed scheme is the relatively large latency, which is not so critical for the ultra high speed communications.