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具有非高斯噪声的非线性光纤信道的概率整形优化

Optimization of Probabilistic Shaping for Nonlinear Fiber Channels with Non-Gaussian Noise.

作者信息

Hansen Henrik Enggaard, Yankov Metodi P, Oxenløwe Leif Katsuo, Forchhammer Søren

机构信息

DTU Fotonik, Technical University of Denmark, Bygning 343, Ørsted Plads, 2800 Kongens Lyngby, Denmark.

出版信息

Entropy (Basel). 2020 Aug 8;22(8):872. doi: 10.3390/e22080872.

DOI:10.3390/e22080872
PMID:33286643
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7517478/
Abstract

Probabilistic constellation shaping is investigated in the context of nonlinear fiber optic communication channels. Based on a general framework, different link types are considered-1. dispersion-managed channels, 2. unrepeatered transmission channels and 3. ideal distributed Raman amplified channels. These channels exhibit nonlinear effects to a degree that conventional probabilistic constellation shaping strategies for the additive white Gaussian (AWGN) noise channel are suboptimal. A channel-agnostic optimization strategy is used to optimize the constellation probability mass functions (PMFs) for the channels in use. Optimized PMFs are obtained, which balance the effects of additive amplified spontaneous emission noise and nonlinear interference. The obtained PMFs cannot be modeled by the conventional Maxwell-Boltzmann PMFs and outperform optimal choices of these in all the investigated channels. Suboptimal choices of constellation shapes are associated with increased nonlinear effects in the form of non-Gaussian noise. For dispersion-managed channels, a reach gain in 2 spans is seen and across the three channel types, gains of >0.1 bits/symbol over unshaped quadrature-amplitude modulation (QAM) are seen using channel-optimized probablistic shaping.

摘要

在非线性光纤通信信道的背景下研究概率星座整形。基于一个通用框架，考虑了不同的链路类型：1. 色散管理信道；2. 无中继传输信道；3. 理想分布式拉曼放大信道。这些信道所呈现出的非线性效应程度，使得用于加性高斯白噪声（AWGN）信道的传统概率星座整形策略并非最优。采用一种与信道无关的优化策略来优化所使用信道的星座概率质量函数（PMF）。获得了优化后的PMF，其平衡了加性放大自发辐射噪声和非线性干扰的影响。所获得的PMF无法用传统的麦克斯韦 - 玻尔兹曼PMF来建模，并且在所有研究的信道中都优于这些传统PMF的最优选择。星座形状的次优选择会以非高斯噪声的形式导致非线性效应增加。对于色散管理信道，在两个跨度上实现了传输距离增益，并且在这三种信道类型中，使用信道优化的概率整形相对于未整形的正交幅度调制（QAM）可实现大于0.1比特/符号的增益。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7c62/7517478/8e033f8b2951/entropy-22-00872-g012.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7c62/7517478/a9196d4057b2/entropy-22-00872-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7c62/7517478/3a87721c1f5d/entropy-22-00872-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7c62/7517478/a2c8cae45717/entropy-22-00872-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7c62/7517478/b618a5d6e724/entropy-22-00872-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7c62/7517478/1aa6dd618840/entropy-22-00872-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7c62/7517478/b5187c7d677f/entropy-22-00872-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7c62/7517478/a42f8a9b37c3/entropy-22-00872-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7c62/7517478/925c64a21fcd/entropy-22-00872-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7c62/7517478/ca55dd5e91d3/entropy-22-00872-g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7c62/7517478/b3544b0652b6/entropy-22-00872-g010.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7c62/7517478/d45d0cff4d90/entropy-22-00872-g011.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7c62/7517478/8e033f8b2951/entropy-22-00872-g012.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7c62/7517478/a9196d4057b2/entropy-22-00872-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7c62/7517478/3a87721c1f5d/entropy-22-00872-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7c62/7517478/a2c8cae45717/entropy-22-00872-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7c62/7517478/b618a5d6e724/entropy-22-00872-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7c62/7517478/1aa6dd618840/entropy-22-00872-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7c62/7517478/b5187c7d677f/entropy-22-00872-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7c62/7517478/a42f8a9b37c3/entropy-22-00872-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7c62/7517478/925c64a21fcd/entropy-22-00872-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7c62/7517478/ca55dd5e91d3/entropy-22-00872-g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7c62/7517478/b3544b0652b6/entropy-22-00872-g010.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7c62/7517478/d45d0cff4d90/entropy-22-00872-g011.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7c62/7517478/8e033f8b2951/entropy-22-00872-g012.jpg

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本文引用的文献

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