2018/09/13 by Homa Esfahanizadeh, Ahmed Hareedy, Esfahanizadeh, Homa +3
Computer Science · #Advanced Data Storage Technologies #Cellular Automata and Applications #Coding theory and cryptography
paper · pdf · doi:10.48550/arxiv.1809.04798
A circulant-based spatially-coupled (SC) code is constructed by partitioning\nthe circulants of an underlying block code into a number of components, and\nthen coupling copies of these components together. By connecting (coupling)\nseveral SC codes, multi-dimensional SC (MD-SC) codes are constructed. In this\npaper, we present a systematic framework for constructing MD-SC codes with\nnotably better girth properties than their 1D-SC counterparts. In our\nframework, informed multi-dimensional coupling is performed via an optimal\nrelocation and an (optional) power adjustment of problematic circulants in the\nconstituent SC codes. Compared to the 1D-SC codes, our MD-SC codes are\ndemonstrated to have up to 85% reduction in the population of the smallest\ncycle, and up to 3.8 orders of magnitude BER improvement in the early error\nfloor region. The results of this work can be particularly beneficial in data\nstorage systems, e.g., 2D magnetic recording and 3D Flash systems, as\nhigh-performance MD-SC codes are robust against various channel impairments and\nnon-uniformity.\n