Statistics of the Eigenvalues of a Noisy Multi-Soliton Pulse

08/11/2018
by   Javier Garcia, et al.
0

For Nonlinear-Frequency Division-Multiplexed (NFDM) systems, the statistics of the received nonlinear spectrum in the presence of additive white Gaussian noise (AWGN) is an open problem. We present a novel method, based on the Fourier collocation algorithm, to compute these statistics.

READ FULL TEXT
research
01/31/2019

Statistics of the Nonlinear Discrete Spectrum of a Noisy Pulse

In the presence of additive Gaussian noise, the statistics of the nonlin...
research
12/30/2017

Does the Cross-Talk Between Nonlinear Modes Limit the Performance of NFDM Systems?

We show a non-negligible cross-talk between nonlinear modes in Nonlinear...
research
06/24/2021

On the detection of low-rank signal in the presence of spatially uncorrelated noise: a frequency domain approach

This paper analyzes the detection of a M-dimensional useful signal model...
research
02/16/2022

Eigenvectors from eigenvalues in quaternion matrix with computer realization

In this paper, we extend eigenvector-eigenvalue identity (formally named...
research
01/16/2018

Decision-Feedback Detection Strategy for Nonlinear Frequency-Division Multiplexing

By exploiting a causality property of the nonlinear Fourier transform, a...
research
11/26/2018

Investigation of Nonlinear Communication Channel with Small Dispersion via Stochastic Correlator Approach

We consider the optical fiber channel modelled by the nonlinear Schrödin...
research
02/10/2022

Translation and Rotation Equivariant Normalizing Flow (TRENF) for Optimal Cosmological Analysis

Our universe is homogeneous and isotropic, and its perturbations obey tr...

Please sign up or login with your details

Forgot password? Click here to reset