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In praise of nontrivial redundant rows of algebraic LDPC codes

机译:表扬LDPC码的非平凡冗余行

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One of the most interesting features of some algebraic LDPC codes is that their RC-constrained parity-check matrices have several or many redundant rows. This paper focuses on the positive impacts of these redundant rows on the belief propagation decoding algorithms. First, the analysis indicates that they are able to eliminate small trapping sets which cause high error-floors in BER curves. Second, their positive impacts on waterfall thresholds of BER curves are verified and explained. An LDPC code with such redundant rows is constructed, which outperforms the corresponding PEG-LDPC code 0.2 dB at BER around 10−7.
机译:某些代数LDPC码最有趣的功能之一是它们的RC约束奇偶校验矩阵具有几行或多行冗余行。本文着重研究这些冗余行对置信传播解码算法的积极影响。首先,分析表明它们能够消除小的陷阱集,而这些陷阱集会导致BER曲线中的高误差层。其次,验证并解释了它们对BER曲线的瀑布阈值的积极影响。构造了具有这种冗余行的LDPC码,在BER约为10 -7 时,其性能优于相应的PEG-LDPC码0.2 dB。

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