On the Capacity of Correlated Phase-Noise Channels: An Electro-Optic Frequency Comb Example

IF 2.9 3区计算机科学 Q3 COMPUTER SCIENCE, INFORMATION SYSTEMS

IEEE Transactions on Information Theory Pub Date : 2025-06-26 DOI:10.1109/TIT.2025.3583548

Mohammad Farsi;Hamdi Joudeh;Gabriele Liga;Alex Alvarado;Magnus Karlsson;Erik Agrell

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Abstract

The capacity of a discrete-time channel with correlated phase noises is investigated. In particular, the electro-optic frequency comb system is considered, where the phase noise of each subchannel is a combination of two independent Wiener phase-noise sources. Capacity upper and lower bounds are derived for this channel and are compared with lower bounds obtained by numerically evaluating the achievable information rates using quadrature amplitude modulation constellations. Capacity upper and lower bounds are provided for the high signal-to-noise ratio (SNR) regime. The multiplexing gain (pre-log) is shown to be

$M-1$

, where M represents the number of subchannels. A constant gap between the asymptotic upper and lower bounds is observed, which depends on the number of subchannels M. For the specific case of

$M=2$

, capacity is characterized up to a term that vanishes as the SNR grows large.

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相关相位噪声信道的容量研究：以电光频率梳为例

研究了具有相关相位噪声的离散信道的容量。特别考虑了电光频率梳系统，其中每个子信道的相位噪声是两个独立维纳相位噪声源的组合。推导了该信道的容量上限和下限，并与利用正交调幅星座对可实现的信息速率进行数值计算得到的下限进行了比较。在高信噪比（SNR）条件下提供了容量上限和下限。多路复用增益（预对数）显示为$M-1$，其中M表示子信道的数量。在渐近上界和下界之间观察到一个恒定的间隙，这取决于子信道M的数量。对于$M=2$的特定情况，容量的特征一直到随着信噪比的增大而消失的一项。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

IEEE Transactions on Information Theory 工程技术-工程：电子与电气

CiteScore

5.70

自引率

20.00%

发文量

514

审稿时长

12 months

期刊介绍： The IEEE Transactions on Information Theory is a journal that publishes theoretical and experimental papers concerned with the transmission, processing, and utilization of information. The boundaries of acceptable subject matter are intentionally not sharply delimited. Rather, it is hoped that as the focus of research activity changes, a flexible policy will permit this Transactions to follow suit. Current appropriate topics are best reflected by recent Tables of Contents; they are summarized in the titles of editorial areas that appear on the inside front cover.