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Polarization-division multiplexed (PDM) transmission based on the nonlinear Fourier transform (NFT) is proposed for optical fiber communication. The NFT algorithms are generalized from the scalar nonlinear Schr\"odinger equation for one…

Information Theory · Computer Science 2017-11-22 Jan-Willem Goossens , Mansoor I. Yousefi , Yves Jaouën , Hartmut Hafermann

Non linear fiber optics concerns with the non linear optical phenomena occurring inside optical fibers. The propagation of light in single-mode fibers is governed by the one-dimensional nonlinear Schr\"odinger equation (NLS) in the presence…

Mathematical Physics · Physics 2016-12-02 Domenico Felice

Modeling the variability of the solar spectral irradiance is a key factor for understanding the solar influence on the climate of the Earth. As a first step to calculating the solar spectral irradiance variations we reproduce the solar…

Astrophysics · Physics 2009-11-13 M. Haberreiter , W. Schmutz , I. Hubeny

Spatial modulation (SM) has proven to be a promising multiple-input-multiple-output (MIMO) technique which provides high energy efficiency and reduces system complexity. In SM, only one transmitter is active at any given time while the rest…

Information Theory · Computer Science 2020-01-08 Anil Yesilkaya , Rui Bian , Iman Tavakkolnia , Harald Haas

In this paper, we report a more general class of nondegenerate soliton solutions, associated with two distinct wave numbers in different modes, for a certain class of physically important integrable two component nonlinear Schr\"{o}dinger…

Exactly Solvable and Integrable Systems · Physics 2019-12-10 S. Stalin , R. Ramakrishnan , M. Lakshmanan

This paper introduces filtered finite difference methods for numerically solving a dispersive evolution equation with solutions that are highly oscillatory in both space and time. We consider a semiclassically scaled nonlinear Schr\"odinger…

Numerical Analysis · Mathematics 2025-08-20 Yanyan Shi , Christian Lubich

We further develop the method of dressing the boundary for the focusing nonlinear Schr\"odinger equation (NLS) on the half-line to include the new boundary condition presented by Zambon. Additionally, the foundation to compare the solutions…

Mathematical Physics · Physics 2020-08-10 K. T. Gruner

A novel modulation scheme termed orthogonal frequency-division multiplexing with subcarrier number modulation (OFDM-SNM) has been proposed and regarded as one of the promising candidate modulation schemes for next generation networks.…

Signal Processing · Electrical Eng. & Systems 2019-05-02 Shuping Dang , Guoqing Ma , Basem Shihada , Mohamed-Slim Alouini

We consider splitting and stabilization of second-order solitons (2-soliton breathers) in a model based on the nonlinear Schr\"{o}dinger equation (NLSE), which includes a small quintic term, and weak resonant nonlinearity management (NLM),…

Pattern Formation and Solitons · Physics 2009-10-02 H. Yanay , L. Khaykovich , B. A. Malomed

We demonstrate theoretically and numerically that the fundamental Raman soliton of the widely used nonlinear Schroedinger equation (NLSE) with a linear approximation of the Raman gain ({\em reduced} NLSE) is metastable. It can propagate for…

Optics · Physics 2015-05-18 Truong X. Tran , Fabio Biancalana

We consider multiple transmitters aiming to communicate their source signals (e.g., images) over a multiple access channel (MAC). Conventional communication systems minimize interference by orthogonally allocating resources (time and/or…

Networking and Internet Architecture · Computer Science 2025-04-08 Selim F. Yilmaz , Can Karamanli , Deniz Gunduz

Matrix generalization of the inverse scattering method is developed to solve the multicomponent nonlinear Schr\"odinger equation with nonvanishing boundary conditions. It is shown that the initial value problem can be solved exactly. The…

Exactly Solvable and Integrable Systems · Physics 2009-11-11 Jun'ichi Ieda , Masaru Uchiyama , Miki Wadati

N-continuous orthogonal frequency division multiplexing (NC-OFDM) is a promising technique to obtain significant sidelobe suppression for baseband OFDM signals, in future 5G wireless communications. However, the precoder of NC-OFDM usually…

Information Theory · Computer Science 2016-01-20 Peng Wei , Lilin Dan , Yue Xiao , Wei Xiang , Shaoqian Li

Spectrum sensing plays a critical role in dynamic spectrum sharing, a promising technology to address the radio spectrum shortage. In particular, sensing of Orthogonal frequency division multiplexing (OFDM) signals, a widely accepted…

Signal Processing · Electrical Eng. & Systems 2019-01-03 Qingqing Cheng , Zhenguo Shi , Diep N. Nguyen , Eryk Dutkiewicz

Orthogonal frequency division multiplexing (OFDM) has proven itself as an effective multi-carrier digital communication technique. In recent years the interest in optical OFDM has grown significantly, due to its spectral efficiency and…

Signal Processing · Electrical Eng. & Systems 2020-09-01 Amir Weiss , Arie Yeredor , Mark Shtaif

We investigate the space time fractional nonlinear Schrodinger equation (FNLSE) incorporating the modified Riemann Liouville derivative introduced by Jumari. The equation is characterized by two parameters: the fractional derivative…

Pattern Formation and Solitons · Physics 2025-05-27 Morteza Nattagh Najafi , Fatemeh Foroughirad

We study the information rates of unipolar orthogonal frequency division multiplexing (OFDM) in discrete-time optical intensity channels (OIC) with Gaussian noise under average optical power constraint. Several single-, double-, and…

Information Theory · Computer Science 2018-01-08 Jing Zhou , Wenyi Zhang

In this paper, we study the spectral efficiency (SE) and energy efficiency (EE) of asymmetrically clipped optical orthogonal frequency division multiplexing (ACO-OFDM) for visible light communication (VLC). Firstly, we derive the…

Information Theory · Computer Science 2023-05-24 Shuai Ma , Ruixin Yang , Xiong Deng , Xintong Ling , Xun Zhang , Fuhui Zhou , Shiyin Li , Derrick Wing Kwan Ng

The recently proposed affine frequency division multiplexing (AFDM) is a new transmission waveform that has shown excellent performance in high-mobility environments, making it a sensible option for the next-generation wireless networks. In…

Information Theory · Computer Science 2025-07-15 Mi Qian , Fei Ji , Yao Ge , Miaowen Wen , Yong Liang Guan

A general theory of nonlinear signal-noise interactions for wavelength division multiplexed fiber-optic coherent transmission systems is presented. This theory is based on the regular perturbation treatment of the nonlinear Schrodinger…

Information Theory · Computer Science 2017-04-24 Amirhossein Ghazisaeidi
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