Deep Neural Network Assisted Second-Order Perturbation-Based Nonlinearity Compensation

Kumar, O. S. Sunish; Lampe, Lutz; Luo, Shenghang; Jana, Mrinmoy; Mitra, J.; Li, Chuandong

doi:10.48550/arxiv.2105.09027

Cited by 1 publication

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“…The nonlinear component P NL is obtained by substituting (51) in (47) and after some simplifications we obtain:…”

Section: Nonlinear Schrödinger Equationmentioning

confidence: 99%

“…The first-order perturbation theory-based NLC (PB-NLC) technique adopts some simplifying assumptions, including [38,40,[46][47][48][49]:…”

Section: Perturbation Theory-based Nlcmentioning

confidence: 99%

“…Without loss of generality, the nonlinear distortion field induced at index k = 0, i.e. l = m + n is calculated at t = 0 by considering the symbol rate operation [38,40,[46][47][48][49]. Accordingly, (117) can be further simplified as [37,38,40,[46][47][48][49]: where * represents the complex conjugate operation and C m,n is the first-order perturbation coefficient matrix, which is given as [37,38,40,[46][47][48][49]:…”

Section: Perturbation Theory-based Nlcmentioning

confidence: 99%

“…β 2 z ≫ τ 2 [38]. Using this assumption and following the simplification steps in [38], the first-order perturbation coefficient matrix C m,n can be written as [37,38,40,[46][47][48][49]:…”

Section: Perturbation Theory-based Nlcmentioning

confidence: 99%

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A tutorial on fiber Kerr nonlinearity effect and its compensation in optical communication systems

Kumar

2021

J. Opt.

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The advent of silica-based low-cost standard single-mode fibers revolutionized the whole communication industry. The deployment of optical fibers in the networks induces a paradigm shift in the communication technologies used for long-haul information transfer. However, the communication using the optical fibers is affected by several linear and nonlinear effects. The most common linear effects are attenuation and chromatic dispersion, whereas the dominant nonlinear effect is the Kerr effect. The Kerr effect induces a power-dependent nonlinear distortion for the signal propagating in the optical fiber. The detrimental effects of the Kerr nonlinearity limit the capacity of long-haul optical communication systems. Fiber Kerr nonlinearity compensation using digital signal processing (DSP) techniques has been well investigated over several years. In this paper, we provide a comprehensive tutorial, including the fundamental mathematical analysis, on the characteristics of the optical fiber channel, the origin of the Kerr nonlinearity effect, the theory of the pulse propagation in the optical fiber, and the numerical and analytical tools for solving the pulse propagation equation. In addition, we provide a concise review of various DSP techniques for fiber nonlinearity compensation, such as digital back-propagation, Volterra series-based nonlinearity equalization, perturbation theory-based nonlinearity compensation, and phase conjugation. We also carry out numerical simulation and the complexity evaluation of the selected nonlinearity compensation techniques.

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“…The nonlinear component P NL is obtained by substituting (51) in (47) and after some simplifications we obtain:…”

Section: Nonlinear Schrödinger Equationmentioning

confidence: 99%

“…The first-order perturbation theory-based NLC (PB-NLC) technique adopts some simplifying assumptions, including [38,40,[46][47][48][49]:…”

Section: Perturbation Theory-based Nlcmentioning

confidence: 99%

Section: Perturbation Theory-based Nlcmentioning

confidence: 99%

Section: Perturbation Theory-based Nlcmentioning

confidence: 99%

See 2 more Smart Citations

A tutorial on fiber Kerr nonlinearity effect and its compensation in optical communication systems

Kumar

2021

J. Opt.

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Deep Neural Network Assisted Second-Order Perturbation-Based Nonlinearity Compensation

Cited by 1 publication

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A tutorial on fiber Kerr nonlinearity effect and its compensation in optical communication systems

A tutorial on fiber Kerr nonlinearity effect and its compensation in optical communication systems

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