Modeling of Nonlinear Interference Power for Dual-Polarization 4D Formats

Liga, Gabriele; Chen, Bin; Barreiro, Astrid; Alvarado, Alex

doi:10.1364/ofc.2021.m5c.2

Cited by 5 publications

(6 citation statements)

References 2 publications

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“…In [31], a detailed derivation of the SCI term accounting for DP-4D formats was shown, which has also been validated in [1], [42]. Here, we review the main defining formulas and key conclusions from [31], [42].…”

Section: A Sci Contributionmentioning

confidence: 85%

Analytical Model of Nonlinear Fiber Propagation for General Dual-Polarization Four-Dimensional Modulation Formats

Liang,

Chen,

Lei

et al. 2024

J. Lightwave Technol.

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Section: A Sci Contributionmentioning

confidence: 85%

Analytical Model of Nonlinear Fiber Propagation for General Dual-Polarization Four-Dimensional Modulation Formats

Liang,

Chen,

Lei

et al. 2024

J. Lightwave Technol.

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“…In [24], a detailed derivation of the SCI term accounting for DP-4D formats was shown, which has been also validated in [1], [32]. Here, we only recall the main defining formulas and key conclusions from [1], [32]. Then, we extend this model into multi-channel WDM systems in consideration of XCI and MCI.…”

Section: The Nonlinear Model Derivationmentioning

confidence: 86%

Analytical Model of Nonlinear Fiber Propagation for General Dual-Polarization Four-Dimensional Modulation Format

Liang¹,

Chen²,

Long³

et al. 2023

Preprint

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Coherent dual-polarization (DP) optical transmission systems encode information on the four available degrees of freedom of an optical field: the two polarization states, each with two quadrature components. Such systems naturally operate based on a four-dimensional (4D) signal space. Having a general analytical model to accurately estimate nonlinear interference (NLI) is key to analyze such transmission systems as well as to study how different DP-4D formats are affected by NLI. However, the available models in the literature are not completely general. They either do not apply to the entire DP-4D formats or do not consider all the NLI contributions. In this paper we develop a model that applies to the entire class of DP-4D modulation formats. Our model takes self-channel interference, crosschannel interference and multiple-channel interference effects into account. As an application of our model, we further study the effects of signal-noise interactions in long-haul transmission via the proposed model. When compared to previous results in the literature, our model is more accurate at predicting the contribution of NLI for both low and high dispersion fibers in single-and multi-channel transmission systems. For the NLI, we report an average gap from split step Fourier simulation results below 0.15 dB. The simulation results further show that by considering signal-noise interactions, the proposed model in longhaul transmission improves the NLI power accuracy prediction by up to 8.5%.

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“…In Fig. 5, the nonlinear tolerance related performance metrics for showing variations of symbol energies, i.e., peak-to-average power ratio (PAPR), kurtosis (here, we use Φ 2 and Φ 4 to denote the kurtosis of 2D symbols and 4D symbols, respectively), the variance of the transmitted 4D symbols' energy Ψ and the NLI power coefficient η (see [74], Eq. ( 1)]) are also shown for each optimized 4D formats during the iterative optimization.…”

Section: Methods For Enabling Efficient MD Geometric Shaping and Its ...mentioning

confidence: 99%

“…Therefore, we conjecture that Φ 4 or Ψ can be also considered as efficient performance metrics for designing NLI-tolerant 4D modulation formats by avoiding the complex perturbation approach for calculating the average NLI power coefficient η. The coefficient η for DP-4D formats has been derived in [62] and demonstrated to predict the NLI in optical systems in [74].…”

Section: Methods For Enabling Efficient MD Geometric Shaping and Its ...mentioning

confidence: 99%

“…However, these models were introduced in PM systems, so they are only valid for PM-2D modulation formats. For the nonlinear fiber channel, 4D NLI model considering modulation-dependent interference for all possible dual polarization four-dimensional (DP-4D) constellations have been proposed in [62]and evaluated in [74], [85]. 4D NLI model could provide a quick computation of the NLI power as a function of the input 4D modulation, which aims at "shaping-out" the 4D modulation-dependent NLI term.…”

Section: Nli Model-aided 4d Geometric Shapingmentioning

confidence: 99%

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Geometrically-Shaped Multi-Dimensional Modulation Formats in Coherent Optical Transmission Systems

Chen¹,

Lei²,

Liga³

et al. 2023

J. Lightwave Technol.

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Modeling of Nonlinear Interference Power for Dual-Polarization 4D Formats

Abstract: We assess the accuracy of a recently introduced nonlinear interference model for general dual-polarization 4D formats. Unlike previous models for polarization-multiplexed 2D formats, an average gap from split-step Fourier simulations within 0.1 dB is demonstrated.

Cited by 5 publications

References 2 publications

Analytical Model of Nonlinear Fiber Propagation for General Dual-Polarization Four-Dimensional Modulation Formats

Analytical Model of Nonlinear Fiber Propagation for General Dual-Polarization Four-Dimensional Modulation Formats

Analytical Model of Nonlinear Fiber Propagation for General Dual-Polarization Four-Dimensional Modulation Format

Geometrically-Shaped Multi-Dimensional Modulation Formats in Coherent Optical Transmission Systems

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