PMD-Induced Fluctuations of Bit-Error Rate in Optical Fiber Systems

Chernyak, Vladimir; Chertkov, Michael; Gabitov, Ildar R.; Kolokolov, I. V.; Лебедев, В. В.

doi:10.1109/jlt.2004.825237

Cited by 22 publications

(10 citation statements)

References 35 publications

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“…This derivation follows the method derived in [20], and it is already presented in [16], but for the sake of completeness we shall repeat it here.…”

Section: Instanton Methodsmentioning

confidence: 95%

Modeling Errors in Long-Haul Optical Fiber Transmission Systems by Using Instantons and Edgeworth Expansion

Ivkovic

Djordjević

Rajković

et al. 2007

2007 IEEE International Conference on Communications

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In this work we use a new approach to model error events in long-haul optical fiber transmission systems. Existing approaches for obtaining probability density functions (PDFs) rely on numerical simulations or analytical approximations. Numerical simulations make far tails of the PDFs difficult to obtain, while analytical approximations are often inaccurate, as they neglect nonlinear interaction between pulses and noise.Our approach combines the instanton method from statistical mechanics, to model far tails of the PDFs, with numerical simulations to refine the middle part of the PDFs. We combine the two methods by using an orthogonal polynomial expansion constructed specifically for this problem. We demonstrate the approach on an example of a specific submarine transmission system.

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“…This derivation follows the method derived in [20], and it is already presented in [16], but for the sake of completeness we shall repeat it here.…”

Section: Instanton Methodsmentioning

confidence: 95%

Modeling Errors in Long-Haul Optical Fiber Transmission Systems by Using Instantons and Edgeworth Expansion

Ivkovic

Djordjević

Rajković

et al. 2007

2007 IEEE International Conference on Communications

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“…These systems can be accurately described by a Langevin equation when the typical time scale of the system is slow compared to the relaxation time of the coupled bath [23,15,33]. Because of the generality of this setup, Langevin dynamics have found applications in a prodigious array of fields including chemistry [23,17], biology [2,3], finance [5,26,21], and certain engineering applications [14,9,27]. It is the ubiquitous nature of the Langevin framework that allows such a pervasive grasp across the physical sciences.…”

Section: Introductionmentioning

confidence: 99%

Stochastic dynamics of extended objects in driven systems II: Current quantization in the low-temperature limit

2016

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Driven Langevin processes have appeared in a variety of fields due to the relevance of natural phenomena having both deterministic and stochastic effects. The stochastic currents and fluxes in these systems provide a convenient set of observables to describe their non-equilibrium steady states. Here we consider stochastic motion of a (k − 1)-dimensional object, which sweeps out a k-dimensional trajectory, and gives rise to a higher k-dimensional current. By employing the low-temperature (low-noise) limit, we reduce the problem to a discrete Markov chain model on a CW complex, a topological construction which generalizes the notion of a graph. This reduction allows the mean fluxes and currents of the process to be expressed in terms of solutions to the discrete Supersymmetric Fokker-Planck (SFP) equation. Taking the adiabatic limit, we show that generic driving leads to rational quantization of the generated higher dimensional current. The latter is achieved by implementing the recently developed tools, coined the higher-dimensional Kirchhoff tree and co-tree theorems. This extends the study of motion of extended objects in the continuous setting performed in the prequel [6] to this manuscript.

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“…Adequate characterization requires introducing the probability distribution function (PDF) of the (BER) obtained by averaging over many realizations of birefringent disorder. Theoretical analysis showed that this PDF has an extended tail indicating the importance of anomalously large values of (BER) [6]. In this article, numerical investigated had been carried and for the effects of PMD on an optical communication layout, taking into account the fiber length, bit rate, and laser diode characteristics.…”

Section: Introductionmentioning

confidence: 99%

Influence of Polarization Mode Dispersion on Optical Communication Network at High Bit Rate 10 Gbps

Habeb¹

2013

J.Edu.Sci.

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Polarization Mode Dispersion (PMD) plays a great role in high bit rate optical communication systems. This factor had been studied thoroughly in this article of optical layout simulation by (OptiSystem7.0). This simulation had revealed some interesting features of (PMD) relating its major parameters, i.e, (PMD coefficient(D PMD )), mean scattering section, and scattering section dispersion). An optimum values have found for the mentioned parameters were: D PMD = 2, mean scattering section=150, scattering section dispersion=110. The opportunity to study the influence of PMD on high bit rate network can be of a substantial benefits to engineer the optical communication network.

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PMD-Induced Fluctuations of Bit-Error Rate in Optical Fiber Systems

Cited by 22 publications

References 35 publications

Modeling Errors in Long-Haul Optical Fiber Transmission Systems by Using Instantons and Edgeworth Expansion

Modeling Errors in Long-Haul Optical Fiber Transmission Systems by Using Instantons and Edgeworth Expansion

Stochastic dynamics of extended objects in driven systems II: Current quantization in the low-temperature limit

Influence of Polarization Mode Dispersion on Optical Communication Network at High Bit Rate 10 Gbps

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