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High peak-to-average power ratio (PAPR) has long posed a challenge for multi-carrier systems, impacting amplifier efficiency and overall system performance. This paper introduces dynamic angle fractional Fourier division multiplexing…

Information Theory · Computer Science 2024-11-14 Yewen Cao , Yulin Shao , Rose Qingyang Hu

Nonlinear Fourier transform (NFT) and eigenvalue communication with the use of nonlinear signal spectrum (both discrete and continuous), have been recently discussed as a promising transmission method to combat fiber nonlinearity…

The 3D Discrete Fourier Transform (DFT) is a technique used to solve problems in disparate fields. Nowadays, the commonly adopted implementation of the 3D-DFT is derived from the Fast Fourier Transform (FFT) algorithm. However, evidence…

Computational Physics · Physics 2024-07-10 Nitin Malapally , Viacheslav Bolnykh , Estela Suarez , Paolo Carloni , Thomas Lippert , Davide Mandelli

Affine Frequency Division Multiplexing (AFDM) is considered as a promising solution for next-generation wireless systems due to its satisfactory performance in high-mobility scenarios. By adjusting AFDM parameters to match the multi-path…

Information Theory · Computer Science 2024-10-16 Jin Xu , Zijian Liang , Kai Niu

We introduce the Fourier Learning Machine (FLM), a neural network (NN) architecture designed to represent a multidimensional nonharmonic Fourier series. The FLM uses a simple feedforward structure with cosine activation functions to learn…

Machine Learning · Computer Science 2026-03-20 Mominul Rubel , Adam Meyers , Gabriel Nicolosi

Polarization mode dispersion (PMD) in optical fibers poses a major challenge for maintaining the fidelity of quantum states for quantum communications. In this work, a comprehensive model linking the probability of quantum measurement…

According to the recent 3GPP decisions on 6G air interface, orthogonal frequency-division multiplexing (OFDM)-based waveforms are the primary candidates for future integrated sensing and communication (ISAC) systems. In this paper, we…

Signal Processing · Electrical Eng. & Systems 2025-11-12 Jialiang Zhu , Hamza Haif , Abdelali Arous , Huseyin Arslan , Arman Farhang

The state-of-the-art automotive radars employ multidimensional discrete Fourier transforms (DFT) in order to estimate various target parameters. The DFT is implemented using the fast Fourier transform (FFT), at sample and computational…

Signal Processing · Electrical Eng. & Systems 2018-01-16 Shaogang Wang , Vishal M. Patel , Athina Petropulu

The expected operating scenarios of 5G pose a great challenge to orthogonal frequency division multiplexing (OFDM) which has poor out of band (OoB) spectral properties, stringent synchronization requirements, and large symbol duration.…

Information Theory · Computer Science 2015-06-16 Shashank Tiwari , Suvra Sekhar Das , Kalyan Kumar Bandyopadhyay

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

General frequency division multiplexing (GFDM) is a flexible non-orthogonal waveform candidate for 5G which can offer some advantages such as low out-of-band (OOB) emission and high spectral efficiency. In this paper, the effects of…

Signal Processing · Electrical Eng. & Systems 2018-03-07 Amirhossein Mohammadian , Abbas Mohammadi , Abdolali Abdipour , Mina Baghani

With the extension of the spectral exploitation of optical fibers beyond the C-band, accurate modeling and simulation of nonlinear interference (NLI) generation is of the utmost performance. Models and numerical simulation tools rely on the…

Signal Processing · Electrical Eng. & Systems 2019-10-01 Dario Pilori , Mattia Cantono , Alessio Ferrari , Andrea Carena , Vittorio Curri

Programmable optical devices provide performance enhancement and flexibility to spatial multiplexing systems enabling transmission of tributaries in high-order eigenmodes of spatially-diverse transmission media, like multimode fiber (MMF).…

The faster-than-Nyquist nonlinear frequency division multiplexing system was first proposed, which provided 12.5% and 25% increase in spectral efficiency for the compression factor of 0.89 and 0.8 respectively.

Signal Processing · Electrical Eng. & Systems 2019-10-29 Xulun Zhang , Lixia Xi , Peng Sun , Zibo Zheng , Jiacheng Wei , Yue Wu , Shucheng Du , Xiaoguang Zhang

In optical communications, four-dimensional (4D) modulation formats encode information onto the quadrature components of two arbitrary orthogonal states of polarisation of the optical field. These formats have recently regained attention…

Signal Processing · Electrical Eng. & Systems 2020-12-30 Gabriele Liga , Astrid Barreiro , Hami Rabbani , Alex Alvarado

Vandermonde-subspace frequency division multiplexing (VFDM) is an overlay spectrum sharing technique for cognitive radio. VFDM makes use of a precoder based on a Vandermonde structure to transmit information over a secondary system, while…

Information Theory · Computer Science 2013-02-28 Leonardo S. Cardoso , Mari Kobayashi , Francisco Rodrigo P. Cavalcanti , Mérouane Debbah

Orthogonal frequency division multiplexing (OFDM) has been recently recognized as inadequate to meet the increased requirements of the next generation of communication systems. A number of alternative modulation solutions, based on the use…

Information Theory · Computer Science 2016-07-14 Konstantinos Maliatsos , Eleftherios Kofidis , Athanasios Kanatas

High-density communication through optical fiber is made possible by Wavelength Division Multiplexing, which is the simultaneous transmission of many discrete signals at different optical frequencies. Vast quantities of data may be…

Optics · Physics 2020-02-19 Paul Fisher , Matteo Villa , Francesco Lenzini , Mirko Lobino

Affine Frequency Division Multiplexing (AFDM), which is based on discrete affine Fourier transform (DAFT), has recently been proposed for reliable communication in high-mobility scenarios. Two low complexity detectors for AFDM are…

Information Theory · Computer Science 2022-03-08 Ali Bemani , Nassar Ksairi , Marios Kountouris

The Transfer Matrix Method (TMM) is a widely used technique for modeling linear propagation of electromagnetic waves through stratified layered media. However, since its extension to inhomogeneous and nonlinear systems is not…

Optics · Physics 2025-06-23 Karol Sajnok , Michał Matuszewski