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The modeling of optical wave propagation in optical fiber is a task of fast and accurate solving the nonlinear Schr\"odinger equation (NLSE), and can enable the optical system design, digital signal processing verification and fast waveform…

Signal Processing · Electrical Eng. & Systems 2022-05-17 Hang Yang , Zekun Niu , Haochen Zhao , Shilin Xiao , Weisheng Hu , Lilin Yi

In this paper, we introduce an autoencoder (AE)-based scheme for end-to-end optimization of a multi-user molecule mixture communication system. In the proposed scheme, each transmitter leverages an encoder network that maps the user symbol…

In coherent optical orthogonal frequency-division multiplexing (CO-OFDM) fiber communications, a novel end-to-end learning framework to mitigate Laser Phase Noise (LPN) impairments is proposed in this paper. Inspired by Autoencoder (AE)…

Signal Processing · Electrical Eng. & Systems 2025-06-24 Omar Alnaseri , Yassine Himeur

An end-to-end communications system based on Orthogonal Frequency Division Multiplexing (OFDM) is modeled as an autoencoder (AE) for which the transmitter (coding and modulation) and receiver (demodulation and decoding) are represented as…

Information Theory · Computer Science 2022-01-06 Kemal Davaslioglu , Tugba Erpek , Yalin E. Sagduyu

An important problem in fiber-optic communications is to invert the nonlinear Schr\"odinger equation in real time to reverse the deterministic effects of the channel. Interestingly, the popular split-step Fourier method (SSFM) leads to a…

Information Theory · Computer Science 2018-04-10 Christian Häger , Henry D. Pfister

In this paper, we implement an optical fiber communication system as an end-to-end deep neural network, including the complete chain of transmitter, channel model, and receiver. This approach enables the optimization of the transceiver in a…

Extensions of the split-step Fourier method (SSFM) for Schr\"odinger-type pulse propagation equations for simulating femto-second pulses in single- and two-mode optical communication fibers are developed and tested for Gaussian pulses. The…

Numerical Analysis · Mathematics 2015-04-07 Ralf Deiterding , Stephen W. Poole

The nonlinear Fourier transform (NFT) decomposes waveforms propagating through optical fiber into nonlinear degrees of freedom, which are preserved during transmission. By encoding information on the nonlinear spectrum, a transmission…

Signal Processing · Electrical Eng. & Systems 2020-12-24 Jan-Willem Goossens , Hartmut Hafermann , Yves Jaouën

The nonlinear Schr\"odinger equation (NSE) is well-known to model an ideal fiber-optic communication channel. Even though the NSE is a nonlinear evolution equation, it can be solved analytically using a nonlinear Fourier transform (NFT).…

Information Theory · Computer Science 2017-08-29 Sander Wahls , Vishal Vaibhav

We present a parallel version of the well-known Split-Step Fourier method (SSF) for solving the Nonlinear Schr\"odinger equation, a mathematical model describing wave packet propagation in fiber optic lines. The algorithm is implemented…

Computational Physics · Physics 2007-05-23 S. M. Zoldi , V. Ruban , A. Zenchuk , S. Burtsev

Nonlinear distortion experienced by signals during their propagation through optical fibers strongly limits the throughput of optical communication systems. Recently, a strong research focus has been dedicated to nonlinearity mitigation and…

Signal Processing · Electrical Eng. & Systems 2019-03-14 F. Da Ros , S. Civelli , S. Gaiarin , E. P. da Silva , N. De Renzis , M. Secondini , D. Zibar

This paper investigates the application of end-to-end (E2E) learning for joint optimization of pulse-shaper and receiver filter to reduce intersymbol interference (ISI) in bandwidth-limited communication systems. We investigate this in two…

Signal Processing · Electrical Eng. & Systems 2024-12-18 Søren Føns Nielsen , Francesco Da Ros , Mikkel N. Schmidt , Darko Zibar

This paper presents a novel approach to achieving secure wireless communication by leveraging the inherent characteristics of wireless channels through end-to-end learning using a single-input-multiple-output (SIMO) autoencoder (AE). To…

Signal Processing · Electrical Eng. & Systems 2024-08-13 Abdullahi Mohammad , Mahmoud Tukur Kabir , Mikko Valkama , Bo Tan

An end-to-end autoencoder (AE) framework is developed for downlink non-orthogonal multiple access (NOMA) over Rayleigh fading channels, which learns interference-aware and channel-adaptive super-constellations. While existing works either…

Information Theory · Computer Science 2026-02-17 Selma Benouadah , Mojtaba Vaezi , Ruizhan Shen , Hamid Jafarkhani

Traditional mathematical models used in designing next-generation communication systems often fall short due to inherent simplifications, narrow scope, and computational limitations. In recent years, the incorporation of deep learning (DL)…

Signal Processing · Electrical Eng. & Systems 2025-07-14 Omar Alnaseri , Laith Alzubaidi , Yassine Himeur , Mohammed Alaa Ala'anzy , Jens Timmermann , Mohammed S. M. Gismalla

The objective assessment of image quality (IQ) has been advocated for the analysis and optimization of medical imaging systems. One method of obtaining such IQ metrics is through a mathematical observer. The Bayesian ideal observer is…

Signal Processing · Electrical Eng. & Systems 2025-08-19 Jason L. Granstedt , Weimin Zhou , Mark A. Anastasio

This paper proposes a novel non-orthogonal affine frequency division multiplexing (nAFDM) waveform for reliable high-mobility communications with enhanced spectral efficiency (SE). The key idea is to introduce a bandwidth compression factor…

Information Theory · Computer Science 2026-02-17 Qin Yi , Zilong Liu , Leila Musavian , Zeping Sui

Two signal multiplexing schemes for optical fiber communication are considered: Wavelength-division multiplexing (WDM) and nonlinear frequency-division multiplexing (NFDM), based on the nonlinear Fourier transform (NFT). Achievable…

Information Theory · Computer Science 2018-04-24 Mansoor I. Yousefi , Xianhe Yangzhang

The nonlinear Fourier transform (NFT), a powerful tool in soliton theory and exactly solvable models, is a method for solving integrable partial differential equations governing wave propagation in certain nonlinear media. The NFT…

Information Theory · Computer Science 2014-10-09 Mansoor I. Yousefi , Frank R. Kschischang

There is a fundamental limit on the capacity of fibre optical communication system (Shannon Limit). This limit can be potentially overcome via using Nonlinear Frequency Division Multiplexing. Dealing with noises in these systems is one of…

Information Theory · Computer Science 2017-11-28 Wen Qi Zhang , Tao Gui , Qun Zhang , Chao Lu , Tanya M. Monro , Terence H. Chan , Alan Pak Tao Lau , Shahraam Afshar
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