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 …

The nonlinear Fourier transform represents a signal in terms of its continuous spectrum,
discrete eigenvalues, and the corresponding discrete spectral amplitudes. This paper …

Optical nonlinear Fourier transform-based communication systems require an accurate
estimation of a signal's nonlinear spectrum, computed usually by piecewise approximation …

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 …

Nonlinear Fourier division Multiplexing (NFDM) can be realized from modulating the discrete
nonlinear spectrum of an $ N $-solitary waveform. To generate an $ N $-solitary waveform …

Fiber-optic communication systems are nowadays facing serious challenges due to the fast
growing demand on capacity from various new applications and services. It is now well …

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 …

We present an efficient, fast and robust Nonlinear Fourier Transform (NFT) algorithm to
detect eigenvalues of the discrete spectrum. It outperforms other known NFT algorithms as it …

Multi-soliton pulses are potential candidates for fiber optical transmission where the
information is modulated and recovered in the so-called nonlinear Fourier domain. While …

The achievable data rates of current fiber-optic wavelength-division-multiplexing (WDM)
systems are limited by nonlinear interactions between different subchannels. Recently, it …