Tailored Shaping, Improved Detection, Simpler Backpropagation: the Road to Nonlinearity Mitigation

Several strategies for nonlinearity mitigation based on signal processing at the transmitter and/or receiver side are analyzed and their effectiveness is discussed. Improved capacity lower bounds based on their combination are presented.

[1]  P. J. Winzer,et al.  Fibre nonlinearities in electronically pre-distorted transmission , 2005 .

[2]  Bin Chen,et al.  Polarization-Ring-Switching for Nonlinearity-Tolerant Geometrically Shaped Four-Dimensional Formats Maximizing Generalized Mutual Information , 2019, Journal of Lightwave Technology.

[3]  Frans M. J. Willems,et al.  Enumerative Sphere Shaping for Wireless Communications With Short Packets , 2019, IEEE Transactions on Wireless Communications.

[4]  Marco Secondini,et al.  On XPM Mitigation in WDM Fiber-Optic Systems , 2014, IEEE Photonics Technology Letters.

[5]  Ronen Dar,et al.  A Shaping Algorithm for Mitigating Inter-Channel Nonlinear Phase-Noise in Nonlinear Fiber Systems , 2016, Journal of Lightwave Technology.

[6]  Frank R. Kschischang,et al.  Optimal nonuniform signaling for Gaussian channels , 1993, IEEE Trans. Inf. Theory.

[7]  E. Forestieri,et al.  Achievable Information Rate in Nonlinear WDM Fiber-Optic Systems With Arbitrary Modulation Formats and Dispersion Maps , 2013, Journal of Lightwave Technology.

[8]  Meir Feder,et al.  NLIN Mitigation Using Turbo Equalization and an Extended Kalman Smoother , 2019, Journal of Lightwave Technology.

[9]  Pierluigi Poggiolini,et al.  Impact of Interchannel Nonlinearities on a Split-Step Intrachannel Nonlinear Equalizer , 2010, IEEE Photonics Technology Letters.

[10]  Sang Joon Kim,et al.  A Mathematical Theory of Communication , 2006 .

[11]  Marco Secondini,et al.  Scope and Limitations of the Nonlinear Shannon Limit , 2017, Journal of Lightwave Technology.

[12]  Zabih Ghassemlooy,et al.  Artificial Neural Network Nonlinear Equalizer for Coherent Optical OFDM , 2015, IEEE Photonics Technology Letters.

[13]  Patrick Schulte,et al.  Rate Adaptation and Reach Increase by Probabilistically Shaped 64-QAM: An Experimental Demonstration , 2016, Journal of Lightwave Technology.

[14]  Fatih Yaman,et al.  Efficient compensation of inter-channel nonlinear effects via digital backward propagation in WDM optical transmission. , 2010, Optics express.

[15]  Alex Alvarado,et al.  Revisiting Efficient Multi-Step Nonlinearity Compensation With Machine Learning: An Experimental Demonstration , 2020, Journal of Lightwave Technology.

[16]  M. Secondini,et al.  Coupled-Channel Enhanced SSFM for Digital Backpropagation in WDM Systems , 2021, 2021 Optical Fiber Communications Conference and Exhibition (OFC).

[17]  C. R. Menyuk,et al.  Polarization evolution due to the Kerr nonlinearity and chromatic dispersion , 1999 .

[18]  Henry D. Pfister,et al.  Nonlinear Interference Mitigation via Deep Neural Networks , 2017, 2018 Optical Fiber Communications Conference and Exposition (OFC).

[19]  Henry D. Pfister,et al.  Wideband Time-Domain Digital Backpropagation via Subband Processing and Deep Learning , 2018, 2018 European Conference on Optical Communication (ECOC).

[20]  Peter J. Winzer,et al.  Nonlinear Interference Mitigation: Methods and Potential Gain , 2017, Journal of Lightwave Technology.

[21]  Amirhossein Ghazisaeidi,et al.  Submarine Transmission Systems Using Digital Nonlinear Compensation and Adaptive Rate Forward Error Correction , 2016, Journal of Lightwave Technology.

[22]  Fernando P. Guiomar,et al.  Mitigation of intra-channel nonlinearities using a frequency-domain volterra series equalizer , 2011, 2011 37th European Conference and Exhibition on Optical Communication.

[23]  M. Secondini,et al.  A simple strategy for mitigating XPM in nonlinear WDM optical systems , 2015, 2015 Optical Fiber Communications Conference and Exhibition (OFC).

[24]  Simon Rommel,et al.  Single-step digital backpropagation for nonlinearity mitigation , 2015, Photonic Network Communications.

[25]  Danish Rafique,et al.  Compensation of intra-channel nonlinear fibre impairments using simplified digital back-propagation algorithm. , 2011, Optics express.

[26]  Jorg-Peter Elbers,et al.  Mitigating Fiber Nonlinearities by Short-Length Probabilistic Shaping , 2020, 2020 Optical Fiber Communications Conference and Exhibition (OFC).

[27]  Toshio Morioka,et al.  Perturbation-Based FEC-Assisted Iterative Nonlinearity Compensation for WDM Systems , 2018, Journal of Lightwave Technology.

[28]  Erik Agrell,et al.  Information-Theoretic Tools for Optical Communications Engineers , 2018, 2018 IEEE Photonics Conference (IPC).

[29]  Erik Agrell,et al.  Nonlinearity Mitigation in WDM Systems: Models, Strategies, and Achievable Rates , 2018, Journal of Lightwave Technology.

[30]  Justin Dauwels,et al.  Computation of Information Rates by Particle Methods , 2004, IEEE Transactions on Information Theory.

[31]  Jian Zhao,et al.  Approaching the Non-Linear Shannon Limit , 2010, Journal of Lightwave Technology.

[32]  Sergei K. Turitsyn,et al.  Compensation of Nonlinear Impairments Using Inverse Perturbation Theory With Reduced Complexity , 2020, Journal of Lightwave Technology.

[33]  E. Forestieri,et al.  Analytical Fiber-Optic Channel Model in the Presence of Cross-Phase Modulation , 2012, IEEE Photonics Technology Letters.

[34]  Marco Secondini,et al.  A Sequence Selection Bound for the Capacity of the Nonlinear Fiber Channel , 2021, 2021 European Conference on Optical Communication (ECOC).

[35]  Toshiaki Koike-Akino,et al.  Nonlinearity-Tolerant Four-Dimensional 2A8PSK Family for 5–7 Bits/Symbol Spectral Efficiency , 2017, Journal of Lightwave Technology.

[36]  Georg Böcherer,et al.  On Probabilistic Shaping of Quadrature Amplitude Modulation for the Nonlinear Fiber Channel , 2016, Journal of Lightwave Technology.

[37]  Marco Secondini,et al.  Interplay of Probabilistic Shaping and Carrier Phase Recovery for Nonlinearity Mitigation , 2020, 2020 European Conference on Optical Communications (ECOC).

[38]  J. Kahn,et al.  Compensation of Dispersion and Nonlinear Impairments Using Digital Backpropagation , 2008, Journal of Lightwave Technology.

[39]  Gerhard Kramer,et al.  Mismatched Models to Lower Bound the Capacity of Dual-Polarization Optical Fiber Channels , 2021, Journal of Lightwave Technology.

[40]  Ronen Dar,et al.  Properties of nonlinear noise in long, dispersion-uncompensated fiber links , 2013, Optics express.

[41]  Erik Agrell,et al.  Influence of Behavioral Models on Multiuser Channel Capacity , 2015, Journal of Lightwave Technology.

[42]  G. Kramer,et al.  Mismatched Models to Lower Bound the Capacity of Optical Fiber Channels , 2020, Journal of Lightwave Technology.

[43]  F. Kschischang,et al.  Roadmap of optical communications , 2015, 1507.05157.

[44]  Patrick Schulte,et al.  Bandwidth Efficient and Rate-Matched Low-Density Parity-Check Coded Modulation , 2015, IEEE Transactions on Communications.

[45]  Polina Bayvel,et al.  End-to-End Deep Learning of Optical Fiber Communications , 2018, Journal of Lightwave Technology.