In this work, we introduce the periodic nonlinear Fourier transform (PNFT) method as an
alternative and efficacious tool for compensation of the nonlinear transmission effects in …

Nonlinear frequency division multiplexing (NFDM) with the modulation of the nonlinear
Fourier spectrum (both discrete and/or continuous parts) have been recently considered as …

The nonlinear frequency division multiplexing (NFDM) is a promising concept in the field of
optical fiber communications. Based on a well established mathematical technique of the …

We consider optical transmission systems based on the nonlinear frequency division
multiplexing (NFDM) concept, ie, the systems employing the nonlinear Fourier transform …

We examine the general question of statistical changes experienced by ensembles of
nonlinear random waves propagating in systems ruled by integrable equations. In our study …

Carrier frequency offset (CFO) estimation is very important for the optical fiber
communications and has been studied widely in linear coherent systems, while only a few …

Remarkable mathematical properties of the integrable nonlinear Schrödinger equation
(NLSE) can offer advanced solutions for the mitigation of nonlinear signal distortions in …

Nonlinear Fourier transform (NFT) and eigenvalue communication with the use of nonlinear
signal spectrum (both discrete and continuous) have been recently discussed as a …

This paper investigates the capacity of signaling on the continuous spectrum (CS) of optical
fibers as defined by the nonlinear Fourier transform (NFT). The channel model of such NFT …

A joint scheme introducing probabilistic shaping (PS) at the transmitter and utilizing a neural
network (NN) equalizer at the receiver is proposed to improve the performance of the b …