Abstract
In this paper, we investigate the performance limits of electronic chromatic dispersion compensation (EDC) and digital backpropagation (DBP) for a single-channel non-dispersion-managed fiber-optical link. A known analytical method to derive the performance of the system with EDC is extended to derive a first-order approximation for the performance of the system with DBP. In contrast to the cubic growth of the variance of the nonlinear noise-like interference, often called nonlinear noise, with input power for EDC, a quadratic growth is observed with DBP using this approximation. Finally, we provide numerical results to verify the accuracy of the proposed approach and compare it with existing analytical models.
Highlights
Optical networks with heterogeneous structure demand accurate channel models and performance prediction techniques to accommodate for the dynamic and static variations of the signal quality
As shown analytically in [21], for a link with large enough accumulated chromatic dispersion, the distribution of the electric field will turn to Gaussian for signals with large enough bandwidth in the absence of nonlinear effects
Since the nonlinear effect will change the distribution of the signal to a non-Gaussian distribution in each segment of the split-step Fourier method (SSFM), a large enough segment length is required to bring the signal distribution back to Gaussian [9, 21]
Summary
Optical networks with heterogeneous structure demand accurate channel models and performance prediction techniques to accommodate for the dynamic and static variations of the signal quality. The key idea behind the analytical methods is to model the nonlinearly-induced noise-like interference, the so-called nonlinear noise [15], caused by the nonlinear Kerr effect as an additive white Gaussian noise (AWGN) with zero mean The variance of this noise as a function of the power spectral density of the transmitted signal and the channel parameters can be computed using the first-order regular perturbation (RP1) provided that the nonlinearity is weak, referred to as the pseudolinear regime [2]. Two time domain models were introduced in [16, 17] using RP1 for both dispersionmanaged (DM) and non-DM single polarization fiber-optical links with wavelength-divisionmultiplexing (WDM) These models require numerical integration and no simple closed-form were provided for the variance of nonlinear noise. The performance comparison shows a close agreement between the first-order approximation and numerical results for low and moderate transmit powers but they deviate for high transmit powers
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