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The channel capacity of a nonlinear, dispersive fiber-optic link is revisited. To this end, the popular Gaussian noise (GN) model is extended with a parameter to account for the finite memory of realistic fiber channels. This finite-memory…

Information Theory · Computer Science 2015-01-07 Erik Agrell , Alex Alvarado , Giuseppe Durisi , Magnus Karlsson

In coherent optical communication systems the laser phase noise is commonly modeled as a Wiener process. We propose a sliding-window based linearization of the phase noise, enabling a novel description. We show that, by stochastically…

Signal Processing · Electrical Eng. & Systems 2025-03-18 Sebastian Jung , Tim Janz , Vahid Aref , Stephan ten Brink

Through a series of extensive system simulations we show that all of the previously not understood discrepancies between the Gaussian noise (GN) model and simulations can be attributed to the omission of an important, recently reported,…

Optics · Physics 2015-06-17 Ronen Dar , Meir Feder , Antonio Mecozzi , Mark Shtaif

Knowing only two high-order statistical moments of modulation symbols, often represented by the fourth moment called "kurtosis", the overestimation of nonlinear interference (NLI) in a Gaussian noise (GN) model due to Gaussian signaling…

Signal Processing · Electrical Eng. & Systems 2022-06-22 Junho Cho , Robert Tkach

In our previous paper [Phys. Rev. E 95, 062122 (2017)] we considered the optical channel modelled by the nonlinear Schr\"odinger equation with zero dispersion and additive Gaussian noise. We found per-sample channel capacity rof this model.…

Information Theory · Computer Science 2019-01-23 A. V. Reznichenko , A. I. Chernykh , S. V. Smirnov , I. S. Terekhov

Regular perturbation is applied to the Manakov equation and motivates a generalized correlated phase-and-additive noise model for wavelength-division multiplexing over dual-polarization optical fiber channels. The model includes three…

Information Theory · Computer Science 2021-04-19 Francisco Javier Garcia-Gomez , Gerhard Kramer

We revisit the analysis of equalization-enhanced phase noise (EEPN) arising in coherent receivers from the interaction between the chromatic dispersion compensation by an electronic equalizer and the phase noise of the local oscillator.…

Signal Processing · Electrical Eng. & Systems 2019-10-23 Aymeric Arnould , Amirhossein Ghazisaeidi

The GN-model has been proposed as an approximate but sufficiently accurate tool for predicting uncompensated optical coherent transmission system performance, in realistic scenarios. For this specific use, the GN-model has enjoyed…

Optics · Physics 2014-06-09 A. Carena , G. Bosco , V. Curri , Y. Jiang , P. Poggiolini , F. Forghieri

Nonlinear/non-Gaussian filtering has broad applications in many areas of life sciences where either the dynamic is nonlinear and/or the probability density function of uncertain state is non-Gaussian. In such problems, the accuracy of the…

Computation · Statistics 2012-08-02 Hatef Monajemi , Peter K. Kitanidis

We identify and discuss nonlinear phase noise arising in Kerr self-phase modulation of a coherent light pulse propagating through an attenuating medium with third-order nonlinearity in a dispersion-free setting. This phenomenon,…

Quantum Physics · Physics 2018-01-29 Ludwig Kunz , Matteo G. A. Paris , Konrad Banaszek

An analytical model is presented for assessing the performance of the bit-error-rate (BER) in the differential m-level phase shift keying (m-PSK) transmission systems, where the influence of equalization enhanced phase noise (EEPN) has been…

Information Theory · Computer Science 2016-09-08 Tianhua Xu , Gunnar Jacobsen , Sergei Popov , Tiegen Liu , Yimo Zhang , Polina Bayvel

In this Letter we analyze the benefit of digital compensation of fiber nonlinearity, where the digital signal processing is divided between the transmitter and receiver. The application of the Gaussian noise model indicates that, where…

This paper presents a speech enhancement method, where an adaptive threshold is statistically determined based on Gaussian modeling of Teager energy (TE) operated perceptual wavelet packet (PWP) coefficients of noisy speech. In order to…

Audio and Speech Processing · Electrical Eng. & Systems 2018-03-07 Md Tauhidul Islam , Celia Shahnaz

We develop a computational procedure to estimate the covariance hyperparameters for semiparametric Gaussian process regression models with additive noise. Namely, the presented method can be used to efficiently estimate the variance of the…

Machine Learning · Computer Science 2022-06-22 Siavash Ameli , Shawn C. Shadden

In this research, numerical analysis of nonlinear pulse propagation is carried out. This is done mainly by solving the nonlinear Schrodinger equation using the split step algorithm. In a nonlinear media, dispersive effects exist…

Optics · Physics 2025-04-24 Yogesh Deo , Meenu Shrestha , Om Nath Acharya

The rapidly growing traffic demands in fiber-optical networks require flexibility and accuracy in configuring lightpaths, for which fast and accurate quality of transmission (QoT) estimation is of pivotal importance. This paper introduces a…

Networking and Internet Architecture · Computer Science 2023-05-15 Jasper Müller , Sai Kireet Patri , Tobias Fehenberger , Helmut Griesser , Jörg-Peter Elbers , Carmen Mas-Machuca

Theoretical analysis of orthogonal frequency division multiplexing (OFDM) systems equipped at the receiver by a non-linear impulsive noise suppressor is a challenging topic in communication systems. Indeed, although an exact closed-form…

Information Theory · Computer Science 2020-11-06 Nikola Rozic , Paolo Banelli , Dinko Begusic , Josko Radic

We report a generalized nonlinear Schr\"odinger equation simulation model of an extreme learning machine (ELM) based on optical fiber propagation. Using the MNIST handwritten digit dataset as a benchmark, we study how accuracy depends on…

Gaussian noise induced by loss on Gaussian states may be corrected by distributing EPR entanglement through the loss channel, purifying the entanglement using a noiseless linear amplifier (NLA) and then using it for continuous-variable…

Quantum Physics · Physics 2018-03-28 Josephine Dias , Timothy C Ralph

We present exact analytical results for the statistics of nonlinear coupled oscillators under the influence of additive white noise. We suggest a perturbative approach for analysing the statistics of such systems under the action of a…

Chaotic Dynamics · Physics 2007-05-23 J. E. Prilepsky , S. A. Derevyanko