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- Stanislav A Derevyanko, Jaroslaw E Prilepsky, Sergei K Turitsyn
- Nature communications
- 2016

What is the maximum rate at which information can be transmitted error-free in fibre-optic communication systems? For linear channels, this was established in classic works of Nyquist and Shannon. However, despite the immense practical importance of fibre-optic communications providing for >99% of global data traffic, the channel capacity of optical links… (More)

- Jaroslaw E Prilepsky, Stanislav A Derevyanko, Keith J Blow, Ildar Gabitov, Sergei K Turitsyn
- Physical review letters
- 2014

We scrutinize the concept of integrable nonlinear communication channels, resurrecting and extending the idea of eigenvalue communications in a novel context of nonsoliton coherent optical communications. Using the integrable nonlinear Schrödinger equation as a channel model, we introduce a new approach-the nonlinear inverse synthesis method-for digital… (More)

- Jaroslaw E Prilepsky, Stanislav A Derevyanko, Sergei K Turitsyn
- Optics express
- 2013

Using the integrable nonlinear Schrödinger equation (NLSE) as a channel model, we describe the application of nonlinear spectral management for effective mitigation of all nonlinear distortions induced by the fiber Kerr effect. Our approach is a modification and substantial development of the so-called "eigenvalue communication" idea first presented in A.… (More)

- Son Thai Le, Jaroslaw E Prilepsky, Sergei K Turitsyn
- Optics express
- 2014

In linear communication channels, spectral components (modes) defined by the Fourier transform of the signal propagate without interactions with each other. In certain nonlinear channels, such as the one modelled by the classical nonlinear Schrödinger equation, there are nonlinear modes (nonlinear signal spectrum) that also propagate without interacting… (More)

- Nikita A. Shevchenko, Jaroslaw E. Prilepsky, Stanislav A. Derevyanko, Alex Alvarado, Polina Bayvel, Sergei K. Turitsyn
- 2015 IEEE Information Theory Workshop - Fall (ITW…
- 2015

A closed-form expression for a lower bound on the per soliton capacity of the nonlinear optical fibre channel in the presence of (optical) amplifier spontaneous emission (ASE) noise is derived. This bound is based on a non-Gaussian conditional probability density function for the soliton amplitude jitter induced by the ASE noise and is proven to grow… (More)

We investigate the statistics of a vector Manakov soliton in the presence of additive Gaussian white noise. The adiabatic perturbation theory for Manakov soliton yields a stochastic Langevin system which we analyze via the corresponding FokkerPlanck equation for the probability density function (PDF) for the soliton parameters. We obtain marginal PDFs for… (More)

- Son Thai Le, Jaroslaw E Prilepsky, Sergei K Turitsyn
- Optics express
- 2015

The nonlinear inverse synthesis (NIS) method, in which information is encoded directly onto the continuous part of the nonlinear signal spectrum, has been proposed recently as a promising digital signal processing technique for combating fiber nonlinearity impairments. However, because the NIS method is based on the integrability property of the lossless… (More)

- Sander Wahls, Son Thai Le, Jaroslaw E. Prilepsky, H. Vincent Poor, Sergei K. Turitsyn
- 2015 IEEE 16th International Workshop on Signal…
- 2015

Nonlinear and dispersive transmission impairments in coherent fiber-optic communication systems are often compensated by reverting the nonlinear Schrödinger equation, which describes the evolution of the signal in the link, numerically. This technique is known as digital backpropagation. Typical digital backpropagation algorithms are based on… (More)

- Jaroslaw E Prilepsky, Stanislav A Derevyanko, Sergei K Turitsyn
- Physical review letters
- 2012

Clusters of temporal optical solitons--stable self-localized light pulses preserving their form during propagation--exhibit properties characteristic of that encountered in crystals. Here, we introduce the concept of temporal solitonic information crystals formed by the lattices of optical pulses with variable phases. The proposed general idea offers new… (More)

- Morteza Kamalian, Jaroslaw E Prilepsky, Son Thai Le, Sergei K Turitsyn
- Optics express
- 2016

In this paper we propose the design of communication systems based on using periodic nonlinear Fourier transform (PNFT), following the introduction of the method in the Part I. We show that the famous "eigenvalue communication" idea [A. Hasegawa and T. Nyu, J. Lightwave Technol. 11, 395 (1993)] can also be generalized for the PNFT application: In this case,… (More)