Gradient Flow Decoding

Tadashi Wadayama

doi:10.1109/ACCESS.2025.3592296

2025-01-01

Tadashi Wadayama

Lantian Wei

DOI：10.1109/ACCESS.2025.3592296

原文链接

摘要

En 中文

本文提出了一种用于LDPC码的梯度流（GF）译码方法。GF译码是一种基于梯度流的连续时间方法，采用与LDPC码的双极性码字相关的势能函数。GF译码的过程由常微分方程简洁定义，因此非常适合模拟电路实现。我们通过实验证明，在AWGN信道下GF译码的性能与多比特模式梯度下降比特翻转算法相当。此外，我们引入了信道的负对数似然函数以推广GF译码。所提出的方法被证明是张量可计算的，这意味着目标函数的梯度可以通过基本张量运算的组合进行评估。这一特性非常适合新兴的AI加速器，可能应用于无线信号处理。本文评估了广义GF译码在LDPC编码MIMO信道中的性能。对于LDPC编码MIMO信道，我们的方法相比MMSE + BP实现了约1.6 dB的性能增益。此外，还提供了基于分数的信道学习探索，以捕获统计特性。

Keyword:

LDPC codes

ordinary differential equations

gradient descent

tensor computation

MIMO channel

MIMO detection

期刊

IEEE Access

IF:

3.6

论文数:

9.8W

被引数:

29.4W

机构

Nagoya Institute of Technology

学者数:

126

论文数: 48

被引数: 0

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