We analyze by density evolution the asymptotic performance of rate-adaptive MacKay-Neal (MN) code ensembles, where the inner code is a protograph spatially coupled (SC) low-density parity-check code. By resorting to a suitably-defined parallel channel model, we compute belief propagation decoding thresholds, showing that SC MN code ensembles can perform within 0.15 dB from the binary-input additive white Gaussian noise capacity over the full [0,1] rate range.

翻译：通过密度进化方法，我们分析了速率自适应MacKay-Neal（MN）码集合的渐近性能，其中内码采用原模图空间耦合（SC）低密度奇偶校验码结构。通过建立适当定义的并行信道模型，我们计算了置信传播译码阈值，结果表明：在完整的[0,1]码率范围内，SC MN码集合的性能与二进制输入加性高斯白噪声信道容量之间的差距可缩小至0.15 dB以内。