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首页> 外文期刊>Selected Areas in Communications, IEEE Journal on >Finite-Length Algebraic Spatially-Coupled Quasi-Cyclic LDPC Codes
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Finite-Length Algebraic Spatially-Coupled Quasi-Cyclic LDPC Codes

机译：有限长度代数空间耦合拟循环LDPC码

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摘要

The replicate-and-mask (R&M) construction of finite-length spatially-coupled (SC) LDPC codes is proposed in this paper. The proposed R&M construction generalizes the conventional matrix unwrapping construction and contains it as a special case. The R&M construction of a class of algebraic spatially coupled (SC) quasi-cyclic (QC) LDPC codes over arbitrary finite fields is demonstrated. The girth, rank, and time-varying periodicity of the proposed R&M SC QC LDPC codes are analyzed. The error rate performance of finite-length nonbinary algebraic SC QC LDPC codes is investigated with window decoding. Compared to the conventional unwrapping construction, it is found through numerical simulations that the R&M construction resulted in SC QC LDPC codes with better block error rate performance and lower error floors. With a flooding schedule decoder, it is shown that the proposed R&M algebraic SC QC LDPC codes have better error performance than the corresponding LDPC block codes and random SC codes. The R&M construction of irregular SC QC LDPC codes is demonstrated. It is shown that low-complexity regular puncturing schemes can be deployed on these codes to construct families of rate-compatible irregular SC QC LDPC codes with good performance.
机译：本文提出了有限长度空间耦合（SC）LDPC码的复制和掩码（R＆M）结构。提出的R＆M构造对常规矩阵展开构造进行了概括，并在特殊情况下包含了该构造。演示了在任意有限域上一类代数空间耦合（SC）准循环（QC）LDPC码的R＆M构造。分析了提出的R＆M SC QC LDPC码的周长，等级和时变周期。通过窗口解码研究了有限长非二进制代数SC QC LDPC码的误码率性能。与传统的展开结构相比，通过数值模拟可以发现，R＆M构造导致SC QC LDPC码具有更好的误码率性能和更低的误码率。通过泛洪调度解码器，可以看出，与相应的LDPC块码和随机SC码相比，所提出的R＆M代数SC QC LDPC码具有更好的误码性能。演示了不规则SC QC LDPC码的R＆M构造。结果表明，可以在这些代码上部署低复杂度常规打孔方案，以构建性能良好的速率兼容不规则SC QC LDPC码族。

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