Multi-Dimensional Spatially-Coupled Code Design: Enhancing the Cycle Properties
Multi-Dimensional Spatially-Coupled Code Design: Enhancing the Cycle Properties
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DOI：
10.1109/tcomm.2020.2971694
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发表时间：
2019-08
影响因子：
8.3
通讯作者：
H. Esfahanizadeh;Lev Tauz;L. Dolecek
中科院分区：
文献类型：
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作者：
H. Esfahanizadeh;Lev Tauz;L. Dolecek
通过将块代码的奇迹检查矩阵中的循环置换矩阵（CPM）划分为块代码的循环置换矩阵（CPM），将基于空间耦合的代码（SC）代码构造成几个组件，并将这些组件的零件拼凑成对角结构中的几个组件。通过连接多个SC代码，构建了多维SC（MD-SC）代码。在本文中，我们提出了一个系统的框架，用于构建比其一维对应物更好的循环特性的MD-SC码。在我们的框架中，多维耦合是通过有问题的CPM的知情迁移来执行的。这项工作在连接在一起的组成型SC代码数量，每个组成型SC代码的相邻SC代码的数量以及我们旨在减少其种群的周期的长度方面是一般的。最后，我们提出了一种使用MD-SC代码的结构来达到较低解码延迟的解码算法。与常规的SC代码相比，我们的MD-SC代码的小周期群体的群体明显较低，并且急剧改善。这项工作的结果在数据存储系统中可能特别有益，例如2D磁性记录和3D闪存系统，因为高性能MD-SC代码对各种通道障碍和不均匀性都有鲁棒性。
A circulant-permutation-based spatially-coupled (SC) code is constructed by partitioning the circulant permutation matrices (CPMs) in the parity-check matrix of a block code into several components and piecing copies of these components in a diagonal structure. By connecting several SC codes, multi-dimensional SC (MD-SC) codes are constructed. In this paper, we present a systematic framework for constructing MD-SC codes with notably better cycle properties than their one-dimensional counterparts. In our framework, the multi-dimensional coupling is performed via an informed relocation of problematic CPMs. This work is general in the terms of the number of constituent SC codes that are connected together, the number of neighboring SC codes that each constituent SC code is connected to, and the length of the cycles whose populations we aim to reduce. Finally, we present a decoding algorithm that utilizes the structures of the MD-SC code to achieve lower decoding latency. Compared to the conventional SC codes, our MD-SC codes have a notably lower population of small cycles, and a dramatic BER improvement. The results of this work can be particularly beneficial in data storage systems, e.g., 2D magnetic recording and 3D Flash systems, as high-performance MD-SC codes are robust against various channel impairments and non-uniformity.