We propose a new family of spatially coupled product codes, called sub-block rearranged staircase (SR-staircase) codes. Each SR-staircase code block is constructed by encoding rearranged preceding code blocks, where the rearrangement involves sub-blocks decomposition and transposition. The major advantage of the proposed construction over the conventional staircase construction is that it enables to employ stronger algebraic component codes to achieve better waterfall and error floor performance with lower miscorrection probability under low-complexity iterative bounded distance decoding (iBDD) while having the same code rate and similar blocklength as the conventional staircase codes. We characterize the decoding threshold of the proposed codes under iBDD by using density evolution and also derive the conditions under which they achieve a better decoding threshold than that of the conventional staircase codes. Further, we investigate the error floor performance by analyzing the contributing error patterns and their multiplicities. Both theoretical and simulation results show that SR-staircase codes outperform the conventional staircase codes in terms of waterfall and error floor while the performance can be further improved by using a large coupling width.
翻译:我们提出一个新的空间组合产品代码组合,称为小区块调整后楼梯代码(SR-staircase)。每个SR-staircase代码区块都是由编码前代码区块重新排列后建造的,其中重新排列涉及小区块分解和转置。拟议建筑与常规楼梯建筑相比的主要优点是,它能够使用较强的测深元件代码,在低相容迭接接接接连的距离分解(iBDD)下实现更好的瀑布和差错错差性能,同时具有与传统楼梯码区块相同的代码率和相近区块长度。我们通过使用密度演化来描述iBDD拟议代码的解码阈值,并得出其比常规楼梯代码更精确化的阈值的条件。此外,我们通过分析促成错误的错误模式及其多特性来调查底部的误差性能。理论和模拟结果表明,SR-raccod能够进一步用大频度的深度和底错性,同时使用更深层的性能,同时使用更深层的性能和地面性能进行更好的表现。