Volterra series transfer function of single-mode fibers

Peddanarappagari, K.V.; Brandt-Pearce, Maïté

doi:10.1109/50.643545

Cited by 188 publications

(118 citation statements)

References 18 publications

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“…Starting from (1) and following a similar procedure to the one described in [5], we obtain a third-order truncated IVSTF, describing the input field spectrum at the expense of the output field spectrum , which is analogous to the 1041-1135/$26.00 © 2011 IEEE forward VSTF but with symmetric fiber parameters ( , and ),…”

Section: Theoretical Formulationmentioning

confidence: 99%

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Digital Postcompensation Using Volterra Series Transfer Function

Guiomar

Reis

Teixeira

et al. 2011

IEEE Photon. Technol. Lett.

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Abstract-We propose a noniterative digital backward propagation technique, based on an inverse modified Volterra series transfer function to postcompensate transmission linear and nonlinear impairments in the presence of optical noise. Using a single-channel 40-Gb/s nonreturn-to-zero quadrature phase-shift-keying optical signal propagated over 20 80 km of standard single-mode fiber, and performing digital postcompensation around the Nyquist rate, our compensation algorithm is able to surpass the maximum accuracy obtained with a symmetric split-step Fourier method, enabling us to increase the nonlinear tolerance by approximately 2 dB.

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Section: Theoretical Formulationmentioning

confidence: 99%

“…Volterra-series expansion is a powerful tool for the analysis of time-invariant nonlinear systems. In [5], a frequency-domain Volterra series transfer function (VSTF) was derived from the NLS equation for single-mode fibers. In [6], a VSTF is used to analyze nonlinear effects in dense wavelength-division multiplex (WDM) systems.…”

Section: Introductionmentioning

confidence: 99%

Digital Postcompensation Using Volterra Series Transfer Function

Guiomar

Reis

Teixeira

et al. 2011

IEEE Photon. Technol. Lett.

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“…When fiber nonlinearities are weak, we may treat the solution of the nonlinear Schrödinger equation as a perturbation of the linear solution [8] or equivalently we may express the output of the fiber with Volterra series transfer functions [9,10] . If we take only the first higher order Volterra series, the output of a single-mode fiber may be modeled as below.…”

Section: Noise Loading Analysis Using Volterra Kernelmentioning

confidence: 99%

“…, is derived from the nonlinear Schrödinger equation by assuming dispersion alone, and the third-order Volterra kernel(transfer function), H3, may be expressed as below [9] .…”

Section: Noise Loading Analysis Using Volterra Kernelmentioning

confidence: 99%

Noise Loading Analysis using Volterra Kernels to Characterize Fiber Nonlinearities

Lee

2012

Korean Journal of Optics and Photonics

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We derive analytical expressions for the output spectral density and the noise power Pβ in noise loading analysis using Volterra kernels to characterize fiber nonlinearities. The bandwidth of the input noise source has little effect on Pβ , but the power of the input noise source and the dispersion parameter value of the fiber have a significant effect on Pβ . The Volterra method predicts    = 30 dB/decade, which agrees very accurately over a wide range of fiber parameters compared with the numerical results by the split-step Fourier method. Therefore the Volterra method could be useful to predict the performance of a dense WDM system when we plan to upgrade fiber or increase signal power.

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“…Other methods of deriving approximate solutions are the Volterra method [4] and the regular perturbation (RP) method [5]. In these methods, the solution of the nonlinear Schrödinger equation is represented by a series expansion using the nonlinear coefficient γ, where the first-order term of the expansion corresponds to the transfer function in the filtering method.…”

Section: Introductionmentioning

confidence: 99%

Statistical evaluation of transmission performance degradation originating with cross‐phase modulation

Norimatsu

Akai

2006

Electron. Comm. Jpn. Pt. I

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SUMMARYThis paper proposes a method which provides fast and precise evaluation of waveform degradation due to cross-phase modulation (XPM) in intensity modulation-direct detection systems with wavelength-division-multiplexing. The method consists of two corrections applied to the conventional method. The first is to take account of second-order self-phase modulation (SPM), which is induced by the waveform affected by XPM. The second is to take account of the higher-order Kerr effect. The proposed method requires only a single evaluation of an infinite integral, which can be performed in a shorter time than the SSF method. It is shown by comparison to the conventional method that very precise evaluation can be realized despite the simplicity.

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Volterra series transfer function of single-mode fibers

Cited by 188 publications

References 18 publications

Digital Postcompensation Using Volterra Series Transfer Function

Digital Postcompensation Using Volterra Series Transfer Function

Noise Loading Analysis using Volterra Kernels to Characterize Fiber Nonlinearities

Statistical evaluation of transmission performance degradation originating with cross‐phase modulation

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