加性高斯白噪声信道上空间耦合类Turbo码的阈值计算

Threshold Computation for Spatially Coupled Turbo-Like Codes on the AWGN Channel.

作者信息

Farooq Muhammad Umar, Graell I Amat Alexandre, Lentmaier Michael

机构信息

Department of Electrical and Information Technology, Lund University, 22100 Lund, Sweden.

Department of Electrical Engineering, Chalmers University of Technology, 41296 Gothenburg, Sweden.

出版信息

Entropy (Basel). 2021 Feb 19;23(2):240. doi: 10.3390/e23020240.

DOI:10.3390/e23020240

PMID:33669649

原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7922775/

Abstract

In this paper, we perform a belief propagation (BP) decoding threshold analysis of spatially coupled (SC) turbo-like codes (TCs) (SC-TCs) on the additive white Gaussian noise (AWGN) channel. We review Monte-Carlo density evolution (MC-DE) and efficient prediction methods, which determine the BP thresholds of SC-TCs over the AWGN channel. We demonstrate that instead of performing time-consuming MC-DE computations, the BP threshold of SC-TCs over the AWGN channel can be predicted very efficiently from their binary erasure channel (BEC) thresholds. From threshold results, we conjecture that the similarity of MC-DE and predicted thresholds is related to the threshold saturation capability as well as capacity-approaching maximum a posteriori (MAP) performance of an SC-TC ensemble.

摘要

在本文中，我们对加性高斯白噪声（AWGN）信道上的空间耦合（SC）类Turbo码（TC）（SC-TC）进行了置信传播（BP）解码阈值分析。我们回顾了蒙特卡罗密度进化（MC-DE）和高效预测方法，这些方法可确定SC-TC在AWGN信道上的BP阈值。我们证明，通过SC-TC在二进制删除信道（BEC）上的阈值，可以非常有效地预测其在AWGN信道上的BP阈值，而无需进行耗时的MC-DE计算。从阈值结果来看，我们推测MC-DE阈值和预测阈值的相似性与阈值饱和能力以及SC-TC集合逼近容量的最大后验概率（MAP）性能有关。