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Spatially-coupled split-component codes with bounded-distance component decoding

机译:空间耦合的分离分量编码与有界距离分量解码

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We analyze a class of high performance, low decoding data-flow codes suitable for high bit-rate optical-fiber communication systems. A spatially-coupled split-component ensemble is defined, encompassing the most representative codes in this class, staircase codes and braided block codes. Our definition preserves two important properties of this class of codes: deterministic partitioning of component-code bits over code blocks and simple iterative algebraic component-code decoding. For the binary erasure channel, we derive a vector recursion for the decoding process and determine its threshold using potential function analysis. We generalize the analysis to mixture ensembles consisting of more than one type of component code. The analysis extends to the binary symmetric channel by assuming mis-correction-free component-code decoding. An intuitive upper-bound on the number of errors correctable by the ensemble is derived. Finally, we analyze the threshold of spatially-coupled split-component ensembles under beyond bounded-distance component decoding.
机译:我们分析了一类适用于高比特率光纤通信系统的高性能,低解码数据流代码。定义了一个空间耦合的拆分组件集合,其中包括此类中最具代表性的代码,阶梯代码和编织块代码。我们的定义保留了此类代码的两个重要属性:在代码块上对组成代码位进行确定性划分,以及简单的迭代代数组成代码解码。对于二进制擦除信道,我们推导了解码过程的向量递归,并使用势函数分析确定其阈值。我们将分析概括为由一种以上类型的组件代码组成的混合乐团。通过假设无错误校正的分量代码解码,分析扩展到了二进制对称信道。得出可通过集合校正的错误数量的直观上限。最后,我们分析了在无界距离分量解码下空间耦合分裂分量集合的阈值。

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