Numerical Approaches in Nonlinear Fourier Transform-Based Signal Processing for Telecommunications

IF 2.6 2区数学 Q1 MATHEMATICS, APPLIED

Studies in Applied Mathematics Pub Date : 2024-12-06 DOI:10.1111/sapm.12795

Egor Sedov, Igor Chekhovskoy, Mikhail Fedoruk, Sergey Turitsyn

引用次数: 0

Abstract

We discuss applications of the inverse scattering transform, also known as the nonlinear Fourier transform (NFT) in telecommunications, both for nonlinear optical fiber communication channel equalization and time-domain signal processing techniques. Our main focus is on the challenges and recent progress in the development of efficient numerical algorithms and approaches to NFT implementation.

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基于非线性傅立叶变换的电信信号处理的数值方法

我们讨论了逆散射变换，也称为非线性傅立叶变换（NFT）在电信中的应用，包括非线性光纤通信信道均衡和时域信号处理技术。我们的主要重点是在开发有效的数值算法和NFT实施方法方面的挑战和最新进展。

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

Studies in Applied Mathematics 数学-应用数学

CiteScore

4.30

自引率

3.70%

发文量

审稿时长

>12 weeks

期刊介绍： Studies in Applied Mathematics explores the interplay between mathematics and the applied disciplines. It publishes papers that advance the understanding of physical processes, or develop new mathematical techniques applicable to physical and real-world problems. Its main themes include (but are not limited to) nonlinear phenomena, mathematical modeling, integrable systems, asymptotic analysis, inverse problems, numerical analysis, dynamical systems, scientific computing and applications to areas such as fluid mechanics, mathematical biology, and optics.