In the presence of additive Gaussian noise, the statistics of the Nonlinear Fourier Transform
(NFT) of a pulse are not yet completely known in closed form. In this paper, we propose a …

Although fruitful studies have been conducted on carrier frequency offset (CFO) estimations
in linear coherent optical fiber communication systems, there are few studies on CFO …

We propose an adaptive method for numerical computation of discrete eigenvalues of the
direct nonlinear Fourier transform (NFT). The approach is based on trust region algorithm …

We propose a new method for finding discrete eigenvalues for the direct Zakharov-Shabat
problem, based on moving in the complex plane along the argument jumps of the function a …

The direct Zakharov–Shabat scattering problem has recently gained significant attention in
various applications of fiber optics. The development of accurate and fast algorithms with …

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

In the past years, nonlinear frequency division multiplexing (NFDM) has been investigated
as a potentially revolutionary technique for nonlinear optical fiber communication. However …

The nonlinear Schrödinger equation (NLSE) is widely used in telecommunication
applications, since it allows one to describe the propagation of pulses in an optical fiber …

Soliton pulses are special waveforms to account for nonlinearity in fiber optical
communication. They can be represented in a nonlinear spectrum by eigenvalues and …

Nonlinear frequency division multiplexing (NFDM), as a possible technique to overcome the
limit imposed by Kerr nonlinearity in conventional coherent optical communication systems …