Second-order perturbation theory-based digital predistortion for fiber nonlinearity compensation

Sunish Kumar Orappanpara Soman; Abdelkerim Amari; Octavia A. Dobre; Ramachandran Venkatesan

doi:10.1109/JLT.2021.3089872

Second-order perturbation theory-based digital predistortion for fiber nonlinearity compensation

Sunish Kumar Orappanpara Soman, Abdelkerim Amari, Octavia A. Dobre, Ramachandran Venkatesan

Research output: Contribution to journal › Article › peer-review

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Abstract

The first-order (FO) perturbation theory-based nonlinearity compensation (PB-NLC) technique has been widely investigated to combat the detrimental effects of the intra-channel Kerr nonlinearity in polarization-multiplexed (Pol-Mux) optical fiber communication systems. However, the NLC performance of the FO-PB-NLC technique is significantly limited in highly nonlinear regimes of the Pol-Mux long-haul optical transmission systems. In this paper, we extend the FO theory to second-order (SO) to improve the NLC performance. This technique is referred to as the SO-PB-NLC. A detailed theoretical analysis is performed to derive the SO perturbative field for a Pol-Mux optical transmission system. Following that, we investigate a few simplifying assumptions to reduce the implementation complexity of the SO-PB-NLC technique. The numerical simulations for a single-channel system show that the SO-PB-NLC technique provides an improved bit-error-rate performance and increases the transmission reach, in comparison with the FO-PB-NLC technique. The complexity analysis demonstrates that the proposed SO-PB-NLC technique has a reduced computational complexity when compared to the digital back-propagation with one step per span.

Original language	English
Pages (from-to)	5474 - 5485
Number of pages	12
Journal	Journal of Lightwave Technology
Volume	39
Issue number	17
Early online date	16 Jun 2021
DOIs	https://doi.org/10.1109/JLT.2021.3089872
Publication status	Published (in print/issue) - 1 Sept 2021

Bibliographical note

Funding Information:
This work was supported by Huawei Technologies Canada, through the Fiber Optic Communications Algorithms Laboratory (FOCAL) project. (Corresponding author: Sunish Kumar Orappanpara Soman.) Sunish Kumar Orappanpara Soman was with the Department of Computer Engineering, Memorial University, St. John’s, NL A1B 3X5, Canada, and also with the Department of Electrical and Computer Engineering, The University of British Columbia, Vancouver, BC V6T 1Z4, Canada. He is now with the School of Engineering, Ulster University, Jordanstown, BT37 0QB, U.K. (e-mail: [email protected]).

Publisher Copyright:
© 1983-2012 IEEE.

Keywords

Coherent detection
digital predistortion
fiber nonlinearity
optical communications
perturbation theory

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10.1109/JLT.2021.3089872

SO_PB_NLC_Technique_RV_FinalAuthor Accepted Manuscript, 1.38 MB

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title = "Second-order perturbation theory-based digital predistortion for fiber nonlinearity compensation",

abstract = "The first-order (FO) perturbation theory-based nonlinearity compensation (PB-NLC) technique has been widely investigated to combat the detrimental effects of the intra-channel Kerr nonlinearity in polarization-multiplexed (Pol-Mux) optical fiber communication systems. However, the NLC performance of the FO-PB-NLC technique is significantly limited in highly nonlinear regimes of the Pol-Mux long-haul optical transmission systems. In this paper, we extend the FO theory to second-order (SO) to improve the NLC performance. This technique is referred to as the SO-PB-NLC. A detailed theoretical analysis is performed to derive the SO perturbative field for a Pol-Mux optical transmission system. Following that, we investigate a few simplifying assumptions to reduce the implementation complexity of the SO-PB-NLC technique. The numerical simulations for a single-channel system show that the SO-PB-NLC technique provides an improved bit-error-rate performance and increases the transmission reach, in comparison with the FO-PB-NLC technique. The complexity analysis demonstrates that the proposed SO-PB-NLC technique has a reduced computational complexity when compared to the digital back-propagation with one step per span.",

keywords = "Coherent detection, digital predistortion, fiber nonlinearity, optical communications, perturbation theory",

author = "{Orappanpara Soman}, {Sunish Kumar} and Abdelkerim Amari and Dobre, {Octavia A.} and Ramachandran Venkatesan",

note = "Funding Information: This work was supported by Huawei Technologies Canada, through the Fiber Optic Communications Algorithms Laboratory (FOCAL) project. (Corresponding author: Sunish Kumar Orappanpara Soman.) Sunish Kumar Orappanpara Soman was with the Department of Computer Engineering, Memorial University, St. John{\textquoteright}s, NL A1B 3X5, Canada, and also with the Department of Electrical and Computer Engineering, The University of British Columbia, Vancouver, BC V6T 1Z4, Canada. He is now with the School of Engineering, Ulster University, Jordanstown, BT37 0QB, U.K. (e-mail: [email protected]). Publisher Copyright: {\textcopyright} 1983-2012 IEEE.",

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N2 - The first-order (FO) perturbation theory-based nonlinearity compensation (PB-NLC) technique has been widely investigated to combat the detrimental effects of the intra-channel Kerr nonlinearity in polarization-multiplexed (Pol-Mux) optical fiber communication systems. However, the NLC performance of the FO-PB-NLC technique is significantly limited in highly nonlinear regimes of the Pol-Mux long-haul optical transmission systems. In this paper, we extend the FO theory to second-order (SO) to improve the NLC performance. This technique is referred to as the SO-PB-NLC. A detailed theoretical analysis is performed to derive the SO perturbative field for a Pol-Mux optical transmission system. Following that, we investigate a few simplifying assumptions to reduce the implementation complexity of the SO-PB-NLC technique. The numerical simulations for a single-channel system show that the SO-PB-NLC technique provides an improved bit-error-rate performance and increases the transmission reach, in comparison with the FO-PB-NLC technique. The complexity analysis demonstrates that the proposed SO-PB-NLC technique has a reduced computational complexity when compared to the digital back-propagation with one step per span.

AB - The first-order (FO) perturbation theory-based nonlinearity compensation (PB-NLC) technique has been widely investigated to combat the detrimental effects of the intra-channel Kerr nonlinearity in polarization-multiplexed (Pol-Mux) optical fiber communication systems. However, the NLC performance of the FO-PB-NLC technique is significantly limited in highly nonlinear regimes of the Pol-Mux long-haul optical transmission systems. In this paper, we extend the FO theory to second-order (SO) to improve the NLC performance. This technique is referred to as the SO-PB-NLC. A detailed theoretical analysis is performed to derive the SO perturbative field for a Pol-Mux optical transmission system. Following that, we investigate a few simplifying assumptions to reduce the implementation complexity of the SO-PB-NLC technique. The numerical simulations for a single-channel system show that the SO-PB-NLC technique provides an improved bit-error-rate performance and increases the transmission reach, in comparison with the FO-PB-NLC technique. The complexity analysis demonstrates that the proposed SO-PB-NLC technique has a reduced computational complexity when compared to the digital back-propagation with one step per span.

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JO - Journal of Lightwave Technology

JF - Journal of Lightwave Technology

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ER -

Second-order perturbation theory-based digital predistortion for fiber nonlinearity compensation

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Keywords

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