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A closed-form expression that estimates the nonlinear interference of arbitrary modulation formats in Raman amplified links is presented. Accounting for any pumping schemes and inter-channel stimulated Raman scattering effect, the formula…

Signal Processing · Electrical Eng. & Systems 2023-11-30 H. Buglia , M. Jarmolovicius , L. Galdino , R. I. Killey , P. Bayvel

In this paper, we present a novel closed-form model (CFM) for accurate and fast evaluation of nonlinear interference in modern ultrawideband coherent optical fiber communication systems. Starting from the Gaussian noise model (GN model),…

Signal Processing · Electrical Eng. & Systems 2020-06-08 Mahdi Ranjbar Zefreh , Pierluigi Poggiolini

The recent advances in modelling nonlinear interference of systems operating beyond the C-band are discussed. Estimation accuracy as well as computational complexity of current approaches are compared and addressed.

Signal Processing · Electrical Eng. & Systems 2019-05-08 Daniel Semrau , Robert I. Killey , Polina Bayvel

A closed-form formula is derived, which corrects for the modulation format dependence of the Gaussian Noise (GN) model in the presence of inter-channel stimulated Raman scattering (ISRS). The analytical result enables a rapid estimate of…

Signal Processing · Electrical Eng. & Systems 2019-10-23 Daniel Semrau , Eric Sillekens , Robert I. Killey , Polina Bayvel

We present a comprehensive closed-form GN/EGN model supporting ultra-wide-band systems spanning 50 THz of optical bandwidth. We show a case-study of 10x100km of SMF where we gradually increase the number of channels across the C,L,S,U,E…

Systems and Control · Electrical Eng. & Systems 2022-07-05 Pierluigi Poggiolini , Mahdi Ranjbar-Zefreh

The accuracy of a recently-developed closed-form GN nonlinear interference model is evaluated in experimental 1065 km S+C+L band WDM transmission with backward Raman pumping. The model accurately estimates the nonlinear interference and ASE…

In this paper, a closed form formula for nonlinearity modeling in modern coherent fiber optic communication systems is derived based on the incoherent GN model. The model covers multi-channel interference (MCI). The effectiveness of the…

Signal Processing · Electrical Eng. & Systems 2019-11-11 Mahdi Ranjbar Zefreh , Pierluigi Poggiolini

A closed-form model for the nonlinear interference (NLI) in Raman amplified links is presented, the formula accounts for both forward (FW) and backward (BW) pumping schemes and inter-channel stimulated Raman scattering (ISRS) effect. The…

Signal Processing · Electrical Eng. & Systems 2023-11-30 H. Buglia , M. Jarmolovicius , L. Galdino , R. I. Killey , P. Bayvel

We present a novel closed-form model for nonlinear interference (NLI) estimation in low-dispersion O-band transmission systems. The formulation incorporates the four-wave mixing (FWM) efficiency term as well as the coherent contributions of…

We optimize modulation formats for the additive white Gaussian noise channel with nonnegative input, also known as the intensity-modulated direct-detection channel, with and without confining them to a lattice structure. Our optimization…

Information Theory · Computer Science 2015-01-07 Johnny Karout , Erik Agrell , Krzysztof Szczerba , Magnus Karlsson

Utilizing the multi-dimensional (MD) space for constellation shaping has been proven to be an effective approach for achieving shaping gains. Despite there exists a variety of MD modulation formats tailored for specific optical transmission…

Signal Processing · Electrical Eng. & Systems 2025-06-23 Bin Chen , Zhiwei Liang , Yi Lei , JingXin Deng , Shen Li , Gabriele Liga

In optical communications, four-dimensional (4D) modulation formats encode information onto the quadrature components of two arbitrary orthogonal states of polarisation of the optical field. These formats have recently regained attention…

Signal Processing · Electrical Eng. & Systems 2020-12-30 Gabriele Liga , Astrid Barreiro , Hami Rabbani , Alex Alvarado

In this paper we report on the details of the derivation of approximate closed-form results related to the coherence effect in non-linear noise accumulation, in the context of the GN-model of fiber non-linearity. The coherence effect is…

Signal Processing · Electrical Eng. & Systems 2020-03-10 Pierluigi Poggiolini

We review the design of multidimensional modulations by maximizing generalized mutual information and compare the maximum transmission reach of recently introduced 4D formats. A model-based optimization for nonlinear-tolerant 4D modulations…

Signal Processing · Electrical Eng. & Systems 2021-12-24 Bin Chen , Gabriele Liga , Yi Lei , Wei Ling , Zhengyan Huan , Xuwei Xue , Alex Alvarado

In this work we formulate a generalized theoretical model to describe the nonlinear dynamics observed in combined frequency-amplitude modulators whose characteristic parameters exhibit a nonlinear dependence on the input modulating signal.…

Mathematical Physics · Physics 2015-05-13 G. Consolo , V. Puliafito , G. Finocchio , L. Lopez-Diaz , R. Zivieri , L. Giovannini , F. Nizzoli , G. Valenti , B. Azzerboni

A method is proposed to solve the challenging problem of determining the supratransmission threshold (onset of instability of harmonic boundary driving inside a band gap) in multicomponent nonintegrable nonlinear systems. It is successfully…

Pattern Formation and Solitons · Physics 2010-08-12 P. Anghel-Vasilescu , J. Dorignac , F. Geniet , J. Leon , M. Taki

A two-dimensional signal space for intensity- modulated channels is presented. Modulation formats using this signal space are designed to maximize the minimum distance between signal points while satisfying average and peak power…

Information Theory · Computer Science 2015-01-07 Johnny Karout , Gerhard Kramer , Frank R. Kschischang , Erik Agrell

We assess the accuracy of a recently introduced nonlinear interference model for general dual-polarization 4D formats.~ Unlike previous models for polarization-multiplexed 2D formats, an average gap from split-step Fourier simulations…

Signal Processing · Electrical Eng. & Systems 2021-01-28 Gabriele Liga , Bin Chen , Astrid Barreiro , Alex Alvarado

A modular method was suggested before to recover a band limited signal from the sample and hold and linearly interpolated (or, in general, an nth-order-hold) version of the regular samples. In this paper a novel approach for compensating…

Computer Vision and Pattern Recognition · Computer Science 2012-05-15 Mohammad Tofighi , Ali Ayremlou , Farokh Marvasti

We optimize modulation formats for the additive white Gaussian noise channel with a nonnegative input constraint, also known as the intensity-modulated direct detection channel, with and without confining them to a lattice structure. Our…

Information Theory · Computer Science 2015-03-19 Johnny Karout , Erik Agrell , Krzysztof Szczerba , Magnus Karlsson
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